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Journal articles on the topic 'Casson's Fluid Model'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Sapna, Ratan Shah, U. Siddiqui S., and Singh Anuradha. "A MATHEMATICAL MODEL TO STUDY THE SIMILARITIES OF BLOOD FLUID MODELS THROUGH INCLINED MULTI-STENOSED ARTERY." International Journal of Engineering Research and Modern Education 2, no. 1 (2017): 108–15. https://doi.org/10.5281/zenodo.801359.

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A mathematical model is presented to comparative steady of the flow behavior of Casson’s and Bingham Plastic fluid model through an inclined tube of non-uniform cross-section with multiple stenoses. The equation describing the flow has been solved and the expressions parameters on flow variables have been studied. The present study may be helpful for better understanding the flow characteristics of blood having multiple stenoses.<strong> </strong>The graphical representations have been made to validate the analytical findings with a view of its applicability to stenotic diseases. It is found t

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2

Pandey, S. K., and Dharmendra Tripathi. "A Mathematical Model for Swallowing of Concentrated Fluids in Oesophagus." Applied Bionics and Biomechanics 8, no. 3-4 (2011): 309–21. http://dx.doi.org/10.1155/2011/782414.

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This model investigates particularly the impact of an integral and a non-integral number of waves on the swallowing of food stuff such as jelly, tomato puree, soup, concentrated fruits juices and honey transported peristaltically through the oesophagus. The fluid is considered as a Casson fluid. Emphasis is on the study of the dependence of local pressure distribution on space and time. Mechanical efficiency, reflux limit and trapping are also discussed. The effect of Casson fluid vis-à-vis Newtonian fluid is investigated analytically and numerically too. The result is physically interpreted a

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3

Farooq, Umar, Umar Farooq, Shan Ali Khan, et al. "Heat Transfer of Casson Nanofluid Flow Between Double Disks: Using Buongiorno Model." Journal of Nanofluids 13, no. 3 (2024): 783–94. http://dx.doi.org/10.1166/jon.2024.2180.

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Purpose: Fluid thermal efficiency is crucial in major industrial sectors. Traditional fluids often lack the heat transmission needed for various operations. To address this, researchers introduced metallic and non-metallic nano additives, creating a new type of fluid called Nanofluid. This article explores the squeezing flow of Casson nanofluid between parallel disks, considering suction/injection, thermophysical impacts, thermal radiation, and chemical reaction. Methodology: The study uses the Buongiorno nanofluid theory to analyze thermophoresis and Brownian motion, reducing partial differen

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4

Ciolin, Ígor Henrique de Mello Rodrigues, Daiane Cristina Lenhard, and Carolina Castilho Garcia. "Rheological behavior of dehydrated cranberry suspensions: Analysis of the influence of temperature and solid concentration on Casson’s model parameters." Acta Scientiarum. Technology 45 (September 27, 2023): e63807. http://dx.doi.org/10.4025/actascitechnol.v45i1.63807.

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Dehydrated cranberries (Vaccinium macrocarpon) are dried fruits known for their high antioxidant potential. Changes in their mechanical and rheological properties occur when cranberries are exposed to certain conditions, such as drying or immersion in a liquid medium (rehydration). To evaluate the rheological behavior of solid suspensions made from dehydrated cranberries, the effects of different temperatures and concentrations of dissolved solids were evaluated using a factorial experimental design (22) with three replications at the center point. Five models were used to investigate the susp

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5

Avinash B. Raut. "Study of Convective Magnetohydrodynamic Flow of Casson Fluids through a Porous Medium Incorporating the Darcy-Forchheimer Model and Influenced by Prescribed Heat Sources." Communications on Applied Nonlinear Analysis 32, no. 9s (2025): 1651–76. https://doi.org/10.52783/cana.v32.4262.

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This study investigates the heat and mass transfer properties of a 2D electrically conducting incompressible Casson fluid flowing through a porous medium over a stretching sheet. The analysis considers the effects of a magnetic field, heat generation/absorption, and chemical reactions. The Casson fluid model is employed to describe the non-Newtonian behaviour of the fluid, which is relevant in biomechanics and polymer industries due to its yield stress. A numerical simulation is performed to estimate the flow of a Casson nanofluid over a stretching surface. The governing boundary layer equatio

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Nanjundaswamy, Vinay Kumar Poorigaly, Ulavathi Shettar Mahabaleshwar, Patil Mallikarjun, Mohaddeseh Mousavi Nezhad, and Giulio Lorenzini. "Casson Liquid Flow due to Porous Stretching Sheet with Suction/Injection." Defect and Diffusion Forum 388 (October 2018): 420–32. http://dx.doi.org/10.4028/www.scientific.net/ddf.388.420.

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The theoretical study of laminar boundary layer flows of a non-Newtonian fluid past a stretching sheet in an embedded porous medium in the presence of suction/injection is of significant importance in the crystal growing, geothermal, metallurgical, polymer extrusion and several other technological processes. Casson fluid model is one such fluid model used to characterize the behaviour of non-Newtonian fluids. The present article discusses the Casson fluid flow past a permeable stretching sheet in the presence of mass transpiration. The physical problem is modelled into a system of nonlinear pa

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Santhosh, H. B., Mahesha, and C. S. K. Raju. "Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux." Nonlinear Engineering 8, no. 1 (2019): 419–28. http://dx.doi.org/10.1515/nleng-2017-0158.

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Abstract This study gives unsteady radiative magneto hydrodynamic Carreau-Casson fluids in suspension of graphene particle with Cattaneo-Christov model. A simulation is performed by mixing of graphene nanoparticles into the base water. The arising set of governing partial differential equations (PDEs) are transformed into set of ordinary differential equations (ODEs) using similarity transformations and then solved numerically using shooting technique with Runge-Kutta (RK) method. The computational results for non-dimensional temperature and velocity profiles are presented through graphs and t

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Tijani, Yusuf O., Mojeed T. Akolade, Hammed A. Ogunseye, Adeshina T. Adeosun, and Oluwaseun Farotimi. "On the Generalized Fick’s and Fourier’s Laws for an Unsteady Casson-Williamson Fluids Over a Stretching Surface: A Spectral Approach." Journal of Nanofluids 12, no. 1 (2023): 91–103. http://dx.doi.org/10.1166/jon.2023.1914.

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In this comparative examination, the paradox of mass diffusion and heat conduction on the improved surface of weakly hydromagnetic and unsteady fluid flow is examined. Material relaxation time is believed to be one of the contributing factors militating against an effective heat and mass transfer. This flow process is estimated to predict accurately the fluids enhancement and condensation/evaporation properties. With a workable similarity variable, the formulated model of modified Fick’s and Fourier’s laws assumed in the Riga surface-induced flow conveying Casson-Williamson fluids with variabl

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9

Sankar, D. S., and Atulya K. Nagar. "Nonlinear Fluid Models for Biofluid Flow in Constricted Blood Vessels under Body Accelerations: A Comparative Study." Journal of Applied Mathematics 2012 (2012): 1–27. http://dx.doi.org/10.1155/2012/950323.

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Pulsatile flow of blood in constricted narrow arteries under periodic body acceleration is analyzed, modeling blood as non-Newtonian fluid models with yield stress such as (i) Herschel-Bulkley fluid model and (ii) Casson fluid model. The expressions for various flow quantities obtained by Sankar and Ismail (2010) for Herschel-Bulkley fluid model and Nagarani and Sarojamma (2008), in an improved form, for Casson fluid model are used to compute the data for comparing these fluid models. It is found that the plug core radius and wall shear stress are lower for H-B fluid model than those of the Ca

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10

Myslyuk, М. А. "Modeling turbulent flows in round pipes." SOCAR Proceedings, no. 3 (September 30, 2024): 92–97. https://doi.org/10.5510/ogp20240300997.

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A rheological model of a biviscous fluid is proposed, describing laminar and turbulent flows of Newtonian and non-Newtonian fluids in round cylindrical pipes. For low shear rates, common rheological models (Newton, Bingham, Ostwald, Herschel – Bulkley, Shulman – Casson, etc.) are used, and for high rates, a generalization of the L. Prandtl model is used. Taking into account the averaged flow characteristics, a model of turbulent flow and velocity distribution equations in round pipes are constructed. The model ensures the continuity of the dependence of hydraulic resistance on the fluid flow r

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11

PANDEY, S. K., and DHARMENDRA TRIPATHI. "PERISTALTIC TRANSPORT OF A CASSON FLUID IN A FINITE CHANNEL: APPLICATION TO FLOWS OF CONCENTRATED FLUIDS IN OESOPHAGUS." International Journal of Biomathematics 03, no. 04 (2010): 453–72. http://dx.doi.org/10.1142/s1793524510001100.

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This model is targeted to study the swallowing of peristaltically driven food stuff such as jelly, tomato puree, soup, concentrated fruit juices and honey in the aboral direction confined to an oesophagus by modeling it as finite channel. Considering such highly concentrated fluids as Casson fluid in the fully stretched activated state, the dependence of pressure on space and time has been investigated for time averaged flow rate. Pressure distribution has been studied along the oesophageal length for an integral and also a non-integral number of waves at different time instants. Local wall sh

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12

Aghighi, Mohammad Saeid, Christel Metivier, and Hamed Masoumi. "Natural convection of Casson fluid in a square enclosure." Multidiscipline Modeling in Materials and Structures 16, no. 5 (2020): 1245–59. http://dx.doi.org/10.1108/mmms-11-2019-0192.

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PurposeThe purpose of this paper is to analyze the natural convection of a yield stress fluid in a square enclosure with differentially heated side walls. In particular, the Casson model is considered which is a commonly used model.Design/methodology/approachThe coupled conservation equations of mass, momentum and energy related to the two-dimensional steady-state natural convection within square enclosures are solved numerically by using the Galerkin's weighted residual finite element method with quadrilateral, eight nodes elements.FindingsResults highlight a small degree of the shear-thinnin

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13

Sandeep, N., and I. L. Animasaun. "Theoretical Exploration of Exponential Heat Source and Thermal Stratification Effects on The Motion of 3-Dimensional Flow of Casson Fluid Over a Low Heat Energy Surface at Initial Unsteady Stage." Journal of Theoretical and Applied Mechanics 47, no. 2 (2017): 61–82. http://dx.doi.org/10.1515/jtam-2017-0010.

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AbstractWithin the last few decades, experts and scientists dealing with the flow of non-Newtonian fluids (most especially Casson fluid) have confirmed the existence of such flow on a stretchable surface with low heat energy (i.e. absolute zero of temperature). This article presents the motion of a three-dimensional of such fluid. Influence of uniform space dependent internal heat source on the intermolecular forces holding the molecules of Casson fluid is investigated. It is assumed that the stagnation flow was induced by an external force (pressure gradient) together with impulsive. Based on

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14

Mohd Kasim, Abdul Rahman, Nur Syamilah Arifin, Syazwani Mohd Zokri, et al. "Convective Transport of Fluid–Solid Interaction: A Study between Non-Newtonian Casson Model with Dust Particles." Crystals 10, no. 9 (2020): 814. http://dx.doi.org/10.3390/cryst10090814.

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The Casson model is a fascinating model, which is genuinely recommended for use with fluids of a non-Newtonian type. The conventional model is not capable to represent the Casson model with the suspension of foreign bodies (dust particles). Due to this, the two-phase model for the mixture of Casson model fluid and dust particles is formulated. This study examines the emerging role of dust particles in changing the behavior of Casson model. In particular, two-phase flow of dusty Casson model with modified magnetic field and buoyancy effect under Newtonian heating boundary condition along a vert

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15

Shah, Sapna Ratan. "A Case Study on Non-Newtonian Viscosity of Blood through Atherosclerotic Artery." Asian Journal of Engineering and Applied Technology 1, no. 1 (2012): 47–52. http://dx.doi.org/10.51983/ajeat-2012.1.1.2501.

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Presented herein the study of rheological character of blood flow and investigate the significance of non-Newtonian viscosity of blood through stenosed artery by assuming blood as Bingham Plastic and Casson’s fluid models. The results show that blood pressure increases very significantly in the upstream zone of the stenotic artery as the degree of the stenosis area severity increases. It is also shown that the non-Newtonian behaviour of blood has significant effects on the velocity profile of the blood flow and the magnitude of the wall shear stresses. It has been concluded in this paper that

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16

Durairaj, Mythili, Sivaraj Ramachandran, and Rashidi Mohammad Mehdi. "Heat generating/absorbing and chemically reacting Casson fluid flow over a vertical cone and flat plate saturated with non-Darcy porous medium." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 1 (2017): 156–73. http://dx.doi.org/10.1108/hff-08-2015-0318.

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Purpose The present investigation aims to deal with the study of unsteady, heat-generating/-absorbing and chemically reacting Casson fluid flow over a vertical cone and flat plate saturated with non-Darcy porous medium in the presence of cross-diffusion effects. Design/methodology/approach A numerical computation for the governing equations has been performed using implicit finite difference method of Crank–Nicolson type. Findings The influence of various physical parameters on velocity, temperature and concentration distributions is illustrated graphically, and the physical aspects are discus

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17

Sankar, D. S., and Usik Lee. "Pulsatile Flow of Two-Fluid Nonlinear Models for Blood Flow through Catheterized Arteries: A Comparative Study." Mathematical Problems in Engineering 2010 (2010): 1–21. http://dx.doi.org/10.1155/2010/121757.

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The pulsatile flow of blood through catheterized arteries is analyzed by treating the blood as a two-fluid model with the suspension of all the erythrocytes in the core region as a non-Newtonian fluid and the plasma in the peripheral layer as a Newtonian fluid. The non-Newtonian fluid in the core region of the artery is represented by (i) Casson fluid and (ii) Herschel-Bulkley fluid. The expressions for the flow quantities obtained by Sankar (2008) for the two-fluid Casson model and Sankar and Lee (2008) for the two-fluid Herschel-Bulkley model are used to get the data for comparison. It is no

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18

Devi, Mamta, and Urvashi Gupta. "ROTATING CASSON NANOFLUID CONVECTION FOR Au, Ag, CuO, AND Al2O3 NANOPARTICLES EMBEDDED BY DARCY-BRINKMAN POROUS MEDIUM." Special Topics & Reviews in Porous Media: An International Journal 14, no. 3 (2023): 31–47. http://dx.doi.org/10.1615/specialtopicsrevporousmedia.v14.i3.30.

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The present paper investigates convection in a Casson nanofluid layer in porous medium under the influence of Coriolis force using Darcy-Brinkman model. The analysis is carried out using linear stability theory, normal mode technique, and one term Galerkin type weighted residual method for various metallic and non-metallic nanoparticles. The outcomes are compared with previously published results, and fine agreements are noted for the permissible range of parameters. Numerical simulation for porous media is carried out for blood (Casson fluid) using the software Mathematica to make the investi

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Oladoja, Adebayo Stephen, Damilare John Samuel, and Yusuf Buba Chukkol. "VARIABLE THERMOPHYSICAL PROPERTY AND OHMIC HEATING IMPACT ON RADIATIVE CASSON FLUID FLOW PAST A STRETCHING CYLINDER." FUDMA JOURNAL OF SCIENCES 9, no. 5 (2025): 155–63. https://doi.org/10.33003/fjs-2025-0905-3476.

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This study investigates the effect of variable thermophysical properties on radiative Casson fluid flow around a stretching cylinder. The governing partial differential equations for momentum and energy are changed into ordinary differential equations with suitable similarity transformations. Our mathematical model analyses the impact of variable thermal conductivity, viscosity, and radiation parameters on the fluid flow system. The resulting coupled nonlinear equations are solved numerically using the Runge-Kutta fourth-order method with shooting technique. The effect of key parameters includ

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Devi, Mamta, Urvashi Gupta, and Jyoti Sharma. "Casson Nanofluid Instability with Viscosity and Conductivity Variation Using Brinkman Model." Journal of Nanofluids 12, no. 4 (2023): 955–66. http://dx.doi.org/10.1166/jon.2023.1978.

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The present work investigates the onset of convective instability of a non-Newtonian Casson nanofluid layer saturating a porous medium. Conductivity and viscosity are taken to be linear functions of nanoparticle volume fraction and Darcy-Brinkman model is used to modify the momentum equation. It is assumed that all the physical variables undergo a small disturbance on the basic solution and the normal mode technique is used to convert partial differential equations into ODE’s to get the expression of thermal Rayleigh number. Darcy parameter, non-Newtonian fluid property and conductivity variat

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Wiśniowski, Rafał, Krzysztof Skrzypaszek, and Tomasz Małachowski. "Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods." Energies 13, no. 12 (2020): 3192. http://dx.doi.org/10.3390/en13123192.

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The accuracy of fitting the rheological model to the properties of actual drilling fluid minimises the errors of the calculated technological parameters applied while drilling oil wells. This article presents the methodology of selecting the optimum drilling fluid rheological model. Apart from classical rheological models, i.e., the Newtonian, Bingham Plastic, Casson, Ostwald de Waele and Herschel–Bulkley models, it has been proposed to consider the Vom Berg and Hahn-Eyring models, which have not been applied to describe drilling fluids so far. In the process of determining rheological paramet

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Sankar, D. S., and Yazariah Yatim. "Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries." Abstract and Applied Analysis 2012 (2012): 1–34. http://dx.doi.org/10.1155/2012/235960.

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Pulsatile flow of blood in narrow tapered arteries with mild overlapping stenosis in the presence of periodic body acceleration is analyzed mathematically, treating it as two-fluid model with the suspension of all the erythrocytes in the core region as non-Newtonian fluid with yield stress and the plasma in the peripheral layer region as Newtonian. The non-Newtonian fluid with yield stress in the core region is assumed as (i) Herschel-Bulkley fluid and (ii) Casson fluid. The expressions for the shear stress, velocity, flow rate, wall shear stress, plug core radius, and longitudinal impedance t

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23

Shaukat, Ayesha, Muhammad Mushtaq, Saadia Farid, Kanwal Jabeen, and Rana Muhammad Akram Muntazir. "A Study of Magnetic/Nonmagnetic Nanoparticles Fluid Flow under the Influence of Nonlinear Thermal Radiation." Mathematical Problems in Engineering 2021 (November 20, 2021): 1–15. http://dx.doi.org/10.1155/2021/2210414.

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The present research work scrutinizes numerical heat transfer in convective boundary layer flow having characteristics of magnetic ( Fe 3 O 4 ) and nonmagnetic ( Al 2 O 3 ) nanoparticles synthesized into two different kinds of Newtonian (water) and non-Newtonian (sodium alginate) convectional base fluids of casson nanofluid which integrates the captivating effects of nonlinear thermal radiation and magnetic field embedded in a porous medium. The characterization of electrically transmitted viscous incompressible fluid is taken into account within the Casson fluid model. The mathematical formul

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H. I., Osman, Ismail Z., Samah R. A., and Vieru D. "MHD Casson Fluid with Radiative Heat and Mass Transfer past an Impulsively Moving Inclined Plate." WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER 18 (December 31, 2023): 271–78. http://dx.doi.org/10.37394/232012.2023.18.23.

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This paper explores the flow of Casson fluid that passes a moving inclined plate with the influence of double diffusions and radiation, where the fluid is imposed electrically conductive and moves through a porous medium. Several suitable non-dimensional variables are suggested in the model using partial differential equations with initial and boundary conditions. The corresponding non-dimensional governing equations are solved with the help of Laplace transform method. Analytical solutions to momentum, energy, and concentration are obtained, and the expression is in exponential and complement

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Christine, Muthui, Muli Charles, and Kimathi Mark. "Magnetic Induction Effects on Unsteady Viscous Casson Fluid Flow over a Stretching Sheet." International Journal of Interdisciplinary Research and Innovations 12, no. 2 (2024): 55–66. https://doi.org/10.5281/zenodo.12543989.

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<strong>Abstract:</strong> This study examines the impact of an induced magnetic field on the behaviour of an unsteady viscous Casson magneto hydrodynamic (MHD) fluid flow over a stretching sheet. The Casson fluid flow is influenced by a uniform external magnetic field that is applied perpendicular to the stretching sheet. The problem under investigation is fully defined in terms of certain parameters that characterize the system, namely the Casson parameter , the unsteadiness parameter , the Reynolds number , the magnetic Reynolds number , and the Prandtl number . To simplify the analysis, th

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Sadiq Murad, Muhammad Amin, Faraidun Kadir Hamasalh, and Hajar F. Ismael. "Numerical study of stagnation point flow of Casson-Carreau fluid over a continuous moving sheet." AIMS Mathematics 8, no. 3 (2023): 7005–20. http://dx.doi.org/10.3934/math.2023353.

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<abstract> <p>This paper is devoted to analysis the behavior of heat transfer of Casson-Carreau fluid at the magnetohydrodynamic (MHD) stagnation point with thermal radiation over a continuous moving sheet. The suitable similarity transform is utilized to transfer the governing differential equations into a system of differential equations and then solve the converted non-linear system by the collocation technique based on the B-spline function (CTBS) and Runge-Kutta method (RK). The quasi-linearization technique is utilized to approach the non-linear equations of the model to a sy

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Rehman, Saif Ur, Nageen Fatima, Bagh Ali, et al. "The Casson Dusty Nanofluid: Significance of Darcy–Forchheimer Law, Magnetic Field, and Non-Fourier Heat Flux Model Subject to Stretch Surface." Mathematics 10, no. 16 (2022): 2877. http://dx.doi.org/10.3390/math10162877.

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This work aims to offer a mathematical model for two-phase flow that investigates the interaction of Casson nanofluid and dust particles across a stretching surface. MHD Darcy–Forchheimer porous medium and Fourier’s law through Cattaneo–Christove thermal flux are also considered. The governing equations for the two phases model are partial differential equations later transmuted into ordinary ones via similarity transforms. The Runge–Kutta method with the shooting tool is utilized numerically to solve the boundary layer equations computed in MATLAB to obtain numerical results for various perti

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Shukla, A. K., Yogendra Kumar Dwivedi, and Mohammad Suleman Quraishi. "A Numerical Simulation of Soret-Dufour effect on Unsteady MHD Casson Fluid Flow past a vertical plate with Hall current and viscous dissipation." International Journal of Chemistry, Mathematics and Physics 6, no. 4 (2022): 05–18. http://dx.doi.org/10.22161/ijcmp.6.4.2.

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The Casson fluid model, which is very significant in the biomechanics and polymer processing industries, is another term used to describe non-Newtonian fluid behavior. This study of Casson fluid model on unsteady MHD Casson fluid flow with Soret-Dufour effect past a vertical plate embedded in porous medium in the presence of radiation with heat generation/absorption and viscous dissipation is presented in this research article as a numerical investigation of non Newtonian Casson fluid with applied effects. Regulating partial differential equations have been used to explain the mathematical mod

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Jonuarti, Riri. "Analysis of Blood Flow in Arterial Stenosis Using Casson and Power-Law Fluid Model." Jurnal ILMU DASAR 14, no. 2 (2013): 73. http://dx.doi.org/10.19184/jid.v14i2.322.

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Simulation of blood flow behaviour in the arteries and in arterial stenosis has been made and will be discussed in this paper. This simulation uses pulsatile flow and blood flow in artery without stenosis is considered as a dynamic fluid, compressed and condensed. Whereas, in the case of arterial stenosis has been used Casson and Power-law fluid models. In the arteries without stenosis, blood flow velocity profiles show the same pattern for each Womersley number, but with different speed value. In the case of arterial stenosis, blood flow rate decreases with increasing stenosis position away f

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Hazarika, Silpi, and Sahin Ahmed. "Analyzing the Effect of Magnetic Drag Force on Carbon Nanotubes Suspended in Casson Fluid Within Parallel Surfaces with Heat Diffusion and Rate of Molar Reaction: An Analytical Approach." Journal of Nanofluids 13, no. 1 (2024): 248–57. http://dx.doi.org/10.1166/jon.2024.2147.

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The study of hydromagnetic CNTs of Casson fluids in Poiseuille flow has significant implications for various industries and can provide valuable insights into the fundamental properties, such as viscosity and conductivity of these fluids. They can improve the heat transfer properties of fluids and enhance the overall efficiency of thermal systems and the presence of CNTs can induce a magnetic field in the fluid. The main goal of using carbon nanotubes (CNTs) in Poiseuille flow is to enhance the fluid flow properties, such as viscosity, thermal conductivity, and heat transfer and the novelty of

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Gladys, T., and G. V. Ramana Reddy. "Soret-Dufour Mechanisms on the Thermal Loading of Catteneo-Christov Theories on Magnetohydrodynamic (MHD) Casson Nanofluid Dynamics Over a Stretching Sheet." Journal of Nanofluids 12, no. 6 (2023): 1475–84. http://dx.doi.org/10.1166/jon.2023.1937.

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The dynamics of Casson nanofluid with chemically reactive and thermally conductive medium past an elongated sheet were investigated in this study. The thermal loading of the fluids is considered while experimenting the Cattaneo-Christov theories with MHD boundary layer flow. The Rosseland approximation is used on the radiative heat flux because the fluids are optically thin. Partial differential equations were used in the flow model (PDEs). These PDEs were converted to ordinary differential equations (ODEs). The Runge-kutta method and firing techniques were used to solve the altered equations

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V.S., Sampath Kumar, and N. P. Pai. "Suction and injection effect on flow between two plates with reference to Casson fluid model." Multidiscipline Modeling in Materials and Structures 15, no. 3 (2019): 559–74. http://dx.doi.org/10.1108/mmms-05-2018-0092.

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Purpose The purpose of this paper is to study the effect of injection and suction on velocity profile, skin friction and pressure distribution of a Casson fluid flow between two parallel infinite rectangular plates approaching or receding from each other with suction or injection at the porous plates. Design/methodology/approach The governing Navier–Stokes equations are reduced to the fourth-order non-linear ordinary differential equation through the similarity transformations. The approximated analytic solution based on the Homotopy perturbation method is given and also compared with the clas

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Myslyuk, М. А. "On the assessment of the carrying capacity of drilling fluids." SOCAR Proceedings, no. 1 (March 31, 2023): 26–34. http://dx.doi.org/10.5510/ogp20230100801.

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Methods for evaluating the carrying capacity of drilling fluids for effective hole cleaning are considered. An indicator of the carrying capacity of drilling fluids is proposed, considering the completeness of the flow profile in the annulus. For the rheological models of Newton, Ostwald, Bingham, Herschel – Bulkley and Shulman – Casson, the influence of flow rate and rheological properties on the carrying capacity index in laminar flow in a concentric annular gap is studied. Based on the analysis of field data, the effect of temperature on the carrying capacity of drilling fluids is shown. Ke

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Derakhshan, S., M. Rezaee, and H. Sarrafha. "Studying Electroosmosis of Viscoplastic Casson Fluid Using Lattice-Poisson-Boltzmann Method." Journal of Mechanics 33, no. 5 (2017): 713–23. http://dx.doi.org/10.1017/jmech.2017.33.

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AbstractA numerical investigation of an electroosmotic flow through a microchannel is presented. Lattice Poisson-Boltzmann method was utilized to determine the effective geometrical and electrokinetic parameters in a microfluidic system. The non-Newtonian fluid model is assumed to be viscoplastic which is suitable for modeling biologic structures. These types of fluids are shown to have a yield stress which affects the velocity profile significantly. Unlike Casson fluid constitutive properties, electrokinetic parameters are shown not to be effective on the yielded region in the microchannel. T

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Sadiq, Muhammad A., and Haitham M. S. Bahaidarah. "Numerical Study on Generalized Heat and Mass in Casson Fluid with Hybrid Nanostructures." Nanomaterials 11, no. 10 (2021): 2675. http://dx.doi.org/10.3390/nano11102675.

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The rheological model for yield stress exhibiting fluid and the basic laws for fluid flow and transport of heat and mass are used for the formulation of problems associated with the enhancement of heat and mass due to dispersion of nanoparticles in Casson. The heat and mass transfer obey non-Fourier’s laws and the generalized Fick’s law, respectively. Model problems are incorporated by thermal relaxation times for heat and mass. Transfer of heat energy and relaxation time are inversely proportional, and the same is the case for mass transport and concentration relaxation time. A porous medium

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Mutuku, Winifred N., and Anselm O. Oyem. "CASSON FLUID OF A STAGNATION-POINT FLOW (SPF) TOWARDS A VERTICAL SHRINKING/STRETCHING SHEET." FUDMA JOURNAL OF SCIENCES 5, no. 1 (2021): 16–26. http://dx.doi.org/10.33003/fjs-2021-0501-508.

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This study presents a convectively heated hydromagnetic Stagnation-Point Flow (SPF) of an electrically conducting Casson fluid towards a vertically stretching/shrinking sheet. The Casson fluid model is used to characterize the non-Newtonian fluid behaviour and using similarity variables, the governing partial differential equations are transformed into coupled nonlinear ordinary differential equations. The dimensionless nonlinear equations are solved numerically by Runge-Kutta Fehlberg integration scheme with shooting technique. The effects of the thermophysical parameters on velocity and temp

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Kumar, J. Prathap, J. C. Umavathi, and A. S. Dhone. "Forced Convection of Magnetohydrodynamic (MHD)-Boundary Layer Flow Past Thin Needle with Variable Wall Temperature Using Casson Nanofluid." Journal of Nanofluids 12, no. 1 (2023): 271–79. http://dx.doi.org/10.1166/jon.2023.1998.

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The important goal in the twenty-first century has become to optimiz efficiency. For instance, heating, ventilation, and air conditioning (HVAC), an antifreeze or heat exchange fluid flows in a nuclear power reactor, heat-transfer design, etc. These advancements have been made either through the use of novel materials (duct walls with improved thermal insulation properties) comprising the duct walls, innovative geometric designs, or enhanced working fluids. In parallel with several additional areas of mechanical, medicinal, and energy engineering, nanotechnology has permeated duct design. Insp

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R, Keerthi, B. Mahanthesh, and Smita Saklesh Nagouda. "Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo law under the effect of internal heat generation/consumption." Multidiscipline Modeling in Materials and Structures 16, no. 5 (2020): 1175–88. http://dx.doi.org/10.1108/mmms-09-2019-0174.

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PurposeThe study of instability due to the effects of Maxwell–Cattaneo law and internal heat source/sink on Casson dielectric fluid horizontal layer is an open question. Therefore, in this paper, the impact of internal heat generation/absorption on Rayleigh–Bénard convection in a non-Newtonian dielectric fluid with Maxwell–Cattaneo heat flux is investigated. The horizontal layer of the fluid is cooled from the upper boundary, while an isothermal boundary condition is utilized at the lower boundary.Design/methodology/approachThe Casson fluid model is utilized to characterize the non-Newtonian f

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Abubakar Usman, Siti Sabariah Abas, Nurul Aini Jaafar, Muhammad Hassan Muhammand, and Mustafa Mamat. "A Model on Free Convective Casson Fluid Flow Past a Permeable Vertical Plate with Gyrotactic Microorganisms." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 105, no. 2 (2023): 31–50. http://dx.doi.org/10.37934/arfmts.105.2.3150.

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This study focused on free convective MHD Casson fluid flow past a permeable vertical plate with microorganisms and Soret-Dufour mechanisms. The physical model is governed by system of partial differential equations (PDEs). The set of PDEs were overhaul into a nonlinear ordinary differential equation by considering acceptable similarity variable. The spectral relaxation method (SRM) was utilized to obtain solution to the overhaul nonlinear ordinary differential equations. This study examined critically the significant of the Gyrotactic microorganisms on Casson fluid locomotion Also, the signif

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Reddy, B. Shashidar, B. Narsimha Reddy, K. Saritha, and Christophe Chesneau. "MHD hyperbolic tangent Casson-Williamson nanofluid over a linearly stretching sheet with thermophoresis and brownian motion." International Journal of Applied Mechanics and Engineering 30, no. 2 (2025): 124–39. https://doi.org/10.59441/ijame/200965.

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The main aim of this research is to investigate the effects of Brownian motion and Thermophoresis on an MHD hyperbolic tangent Williamson-Casson nanofluid passing over a stretching sheet. Through appropriate similarity transformations, non-linear partial differential equations governing the model can give rise to non-linear ordinary differential equations. These equations are solved numerically using the Keller-Box method. The quantities related to engineering aspects, such as skin friction, Sherwood number, heat exchange and the various effects of quantifiers on momentum, temperature, and con

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Khan, Shahid, Mahmoud M. Selim, Khaled A. Gepreel, et al. "An analytical investigation of the mixed convective Casson fluid flow past a yawed cylinder with heat transfer analysis." Open Physics 19, no. 1 (2021): 341–51. http://dx.doi.org/10.1515/phys-2021-0040.

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Abstract The hydrodynamic flow of an incompressible and isotropic Casson fluid through a yawed cylinder is investigated by employing continuity, momentum, and energy equations satisfying suitable boundary conditions. The density variation is governed by Boussinesq approximation. The model equations consisting of coupled partial differential equations (PDEs) are transformed by applying non-similar transformation relations. The set of transformed PDEs is solved using the analytical technique of homotopy analysis method (HAM). The impacts of varying yaw angle, and mixed convection and Casson para

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Wan Faezah Wan Azmi, Ahmad Qushairi Mohamad, Lim Yeou Jiann, and Sharidan Shafie. "Free Convection Caputo-Fabrizio Casson Blood Flow in the Cylinder with Slip Velocity." CFD Letters 15, no. 3 (2023): 35–47. http://dx.doi.org/10.37934/cfdl.15.3.3547.

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Recently, fluid with fractional-order derivative model attracted many researchers to further study compared with the classical fluid mode since it is more precise and realistic. To imitate the applications of blood flow in narrow arteries, researchers focused on the fractional Casson fluid flow in the cylinder. However, most researchers solved the problems numerically and without considering the slip effect at the boundary. Thus, obtaining solutions analytically to the unsteady fractional Casson fluid flow in the slip cylinder with free convection is the goal of this study. The Caputo-Fabrizio

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Sene, Ndolane. "Solution Procedure for Fractional Casson Fluid Model Considered with Heat Generation and Chemical Reaction." Sustainability 15, no. 6 (2023): 5306. http://dx.doi.org/10.3390/su15065306.

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In this work, the objective is to get the exact analytical solution of a generalized Casson fluid model with heat generation and chemical reaction described by the Caputo fractional operator, using the approach that the Laplace transform method includes the Laplace transform of the Caputo derivative. After the exact solution, it will be studied the impact of the order of the fractional derivative and the most essential parameters included in the modeling like the Prandtl number, the thermal Grashof number, the mass Grashof number, the Schmidt number, the heat generation parameter, and the chem

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Das, B., P. C. Johnson, and A. S. Popel. "Computational fluid dynamic studies of leukocyte adhesion effects on non‐Newtonian blood flow through microvessels." Biorheology: The Official Journal of the International Society of Biorheology 37, no. 3 (2000): 239–58. http://dx.doi.org/10.1177/0006355x2000037003004.

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The study of the effect of leukocyte adhesion on blood flow in small vessels is of primary interest to understand the resistance changes in venular microcirculation. Available computational fluid dynamic studies provide information on the effect of leukocyte adhesion when blood is considered as a homogeneous Newtonian fluid. In the present work we aim to understand the effect of leukocyte adhesion on the non‐Newtonian Casson fluid flow of blood in small venules; the Casson model represents the effect of red blood cell aggregation. In our model the blood vessel is considered as a circular cylin

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Sene, Ndolane. "A Numerical Algorithm Applied to Free Convection Flows of the Casson Fluid along with Heat and Mass Transfer Described by the Caputo Derivative." Advances in Mathematical Physics 2021 (June 23, 2021): 1–11. http://dx.doi.org/10.1155/2021/5225019.

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In this paper, we present a class of numerical schemes and apply it to the diffusion equations. The objective is to obtain numerical solutions of the constructive equations of a type of Casson fluid model. We investigate the solutions of the free convection flow of the Casson fluid along with heat and mass transfer in the context of modeling with the fractional operators. The numerical scheme presented in this paper is called the fractional version of the Adams Basford numerical procedure. The advantage of this numerical technique is that it combines the Laplace transforms and the classical Ad

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Mallikarjuna, Bandaru, Sadhu Ramprasad, and Yathiraju Sudheer Kalyan Chakravarthy. "Multiple Slip and Inspiration Effects on Hydromagnetic Casson Fluid in a Channel with Stretchable Walls." International Journal of Heat and Technology 38, no. 4 (2020): 817–26. http://dx.doi.org/10.18280/ijht.380407.

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Increasingly innovatory techniques are being developed for the manufacturer of coated sheets. Magnetite non-Newtonian fluids have been shown to exhibit stretchable wall slip, which arises due to non-adherence of the non-Newtonian fluid to the boundary. Motivated by the physical nature of the magnetic non-Newtonian fluid in manufacturing transport phenomena, we develop a model to analyze the collective influence of velocity and thermal slips, radiative heat flux effects on fluid and heat transport phenomena in magnetic non-Newtonian fluid flow in a channel with stretchable walls. Governing equa

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BHATTI, M. M., and A. ZEESHAN. "HEAT AND MASS TRANSFER ANALYSIS ON PERISTALTIC FLOW OF PARTICLE–FLUID SUSPENSION WITH SLIP EFFECTS." Journal of Mechanics in Medicine and Biology 17, no. 02 (2017): 1750028. http://dx.doi.org/10.1142/s0219519417500282.

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In this paper, the effect of heat and mass transfer on particle–fluid suspension due to peristaltic motion is examined with of slip effects. The governing equations of fluid phase and particulate phase for Casson fluid model with embedded particles are interpreted under the approximation of long wavelength and neglecting the inertial forces. The obtained coupled resulting partial differential equations are solved analytically and an exact form of solutions are conferred. The impact of various sundry parameters are plotted and discussed for velocity, temperature and concentration distribution f

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Husna Izzati Osman, Zulkhibri Ismail, Dennis Ling Chuan Ching, Nur Fatihah Mod Omar, and Dumitru Vieru. "Unsteady MHD Casson Fluid Through a Porous Medium over an Inclined Plate in the Present of Chemical Reaction." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 108, no. 2 (2023): 172–83. http://dx.doi.org/10.37934/arfmts.108.2.172183.

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The unsteady of MHD Casson fluid flow through an infinite inclined plate in the presence of chemical reaction is investigated. In this research, Casson fluid model is choose to be used in this study to characterize the non-Newtonian fluid behaviour. We are employed the Laplace transform technique with an appropriate boundary condition to convert the governing partial differential equations into ordinary differential equations. All the transformed equations are then solved numerically by using Mathematica. Finally, we were obtained the exact solution of momentum, energy and concentration of the

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Abbas, Syed Tehseen, Shah Jahan, Arsalan Afzal, and Muhammad Sohail. "Bio-Convective Thermally Radiated Casson Fluid Model PDEs Past over a Darcy-Forchheimer Porous Stretched Sheet via OHAM Strategy." Babylonian Journal of Mathematics 2024 (June 20, 2024): 56–72. http://dx.doi.org/10.58496/bjm/2024/008.

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The current study examines the topic of continuous flow of nanofluids over two-directional boundary level employing Casson heat transmission across a linearly stretched sheet. Firstly, the partial differential equations are transformed into non-linear ordinary differential equations with the help of similarity parameters. These non-linear ordinary differential equations are solved with the given boundary conditions by applying the BVPh2.0 method on Mathematica software. The effects of magnetic impact, radiation parameter, porosity number, Brownian motion parameter, thermophoresis parameter, Ca

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Oke, Abayomi S., Winifred N. Mutuku, Mark Kimathi, and Isaac L. Animasaun. "Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force." Nonlinear Engineering 9, no. 1 (2020): 398–411. http://dx.doi.org/10.1515/nleng-2020-0025.

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AbstractCasson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity like that of blood. Despite huge number of published articles on the transport phenomenon, there is no report on the increasing effects of the Coriolis force. This report presents the significance of increasing not only the Coriolis force and reducing plastic dynamic viscosity, but also the Prandtl number and buoyancy forces on the motion of non-Newtonian Casson fluid over the rotating non-uniform surface. The relevant body forces are derived

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