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Journal articles on the topic 'Exponentially stretching sheet'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Nur Hazirah Adilla Norzawary, Norfifah Bachok, Fadzilah Md Ali, and Norihan Md Arifin. "Slip Flow Over an Exponentially Stretching/Shrinking Sheet in a Carbon Nanotubes with Heat Generation: Stability Analysis." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 108, no. 1 (2023): 28–38. http://dx.doi.org/10.37934/arfmts.108.1.2838.

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This study is to analyse the problem of slip flow via exponentially stretching/shrinking sheet in carbon nanotubes (CNTs) with heat generation effects. The governing partial differential equations are transformed into nonlinear ordinary differential equations via transformation of similarity. The bvp4c solver in Matlab is then used to resolve them numerically. Water is used as the base fluid together with single wall and multi wall CNTs. The flow parameters effect is investigated, shown in the graphs form, and physically evaluated for the dimensionless velocity, temperature, skin friction, and

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2

Bhattacharyya, Krishnendu, and G. C. Layek. "Thermal Boundary Layer in Flow due to an Exponentially Stretching Surface with an Exponentially Moving Free Stream." Modelling and Simulation in Engineering 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/785049.

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A numerical investigation is made to study the thermal boundary layer for flow of incompressible Newtonian fluid over an exponentially stretching sheet with an exponentially moving free stream. The governing partial differential equations are transformed into self-similar ordinary differential equations using similarity transformations in exponential forms. Then those are solved numerically by shooting technique using Runge-Kutta method. The study reveals that the momentum boundary layer thickness for this flow is considerably smaller than the linear stagnation point flow past a linearly stret

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3

Wong, Sin Wei, Abu Omar Awang, and Anuar Ishak. "Stagnation-Point Flow over an Exponentially Shrinking/Stretching Sheet." Zeitschrift für Naturforschung A 66, no. 12 (2011): 705–11. http://dx.doi.org/10.5560/zna.2011-0037.

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The steady two-dimensional stagnation-point flow of an incompressible viscous fluid over an exponentially shrinking/stretching sheet is studied. The shrinking/stretching velocity, the free stream velocity, and the surface temperature are assumed to vary in a power-law form with the distance from the stagnation point. The governing partial differential equations are transformed into a system of ordinary differential equations before being solved numerically by a finite difference scheme known as the Keller-box method. The features of the flow and heat transfer characteristics for different valu

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4

Prasad, Sushil, Shilpa Sood, and Archie Thakur. "Stagnation-Point Slip Flow of Hybrid Ferrofluid Past Exponentially Stretching Sheet in Darcy-Forchheimer Space." Indian Journal Of Science And Technology 17, no. 10 (2024): 881–90. http://dx.doi.org/10.17485/ijst/v17i10.1910.

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Objectives: The present article provides a detailed analysis on the Darcy-Forchheimer hybrid nanofluids flow past an exponentially stretching sheet in the presence of mixed convection with slip conditions and the impacts of different relevant parameters of the fluid flow for velocity and temperature profiles. Methods: In order to create hybrid nanofluids, two magnetic nanoparticles, magnetite ( ) and cobalt ferrite ( ), are taken into consideration. The governing boundary layer coupled partial differential equations are transformed into a system of non-linear ordinary differential equations, w

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5

Hayat, T., A. Shafiq, A. Alsaedi, and S. A. Shahzad. "Unsteady MHD flow over exponentially stretching sheet with slip conditions." Applied Mathematics and Mechanics 37, no. 2 (2016): 193–208. http://dx.doi.org/10.1007/s10483-016-2024-8.

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6

Nazim Tufail, M., and Asif Ali. "Irreversibility Analysis of MHD Flow over an Exponentially Stretching Sheet." Heat Transfer-Asian Research 44, no. 3 (2013): 211–26. http://dx.doi.org/10.1002/htj.21112.

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7

Sibanda, Precious, Mohammed Almakki, Zachariah Mburu, and Hiranmoy Mondal. "Entropy Optimization in MHD Nanofluid Flow over an Exponential Stretching Sheet." Applied Sciences 12, no. 21 (2022): 10809. http://dx.doi.org/10.3390/app122110809.

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We numerically investigate mixed convective heat and mass transport in incompressible nanofluid flow through an exponentially stretching sheet with temperature-dependent viscosity. The fluid flow equations are transformed to a system of non-linear ordinary differential equations using appropriate similarity transformations and solved numerically by using the multi-domain bivariate spectral quasi-linearization technique. The fast convergence of the method is shown by demonstrating that the error is exponentially small for a finite number of iterations. The significance and impact of different f

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8

Kasali, Kazeem Babawale, Yusuf Olatunji Tijani, Matthew Oluwafemi Lawal, and Yussuff Titilope Lawal. "Soret, Dufour and radiation effects of a viscoelastic fluid on an exponentially stretching surface using the Catteneo–Christov heat flux model." Multidiscipline Modeling in Materials and Structures 16, no. 6 (2020): 1577–94. http://dx.doi.org/10.1108/mmms-11-2019-0202.

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PurposeIn this paper, we studied the steady flow of a radiative magnetohydrodynamics viscoelastic fluid over an exponentially stretching sheet. This present work incorporated the effects of Soret, Dufour, thermal radiation and chemical reaction.Design/methodology/approachAn appropriate semi-analytical technique called homotopy analysis method (HAM) was used to solve the resulting nonlinear dimensionless boundary value problem, and the method was validated numerically using a finite difference scheme implemented on Maple software.FindingsIt was observed that apart from excellence agreement with

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9

Abd El-Aziz, Mohamed, and Tamer Nabil. "Homotopy Analysis Solution of Hydromagnetic Mixed Convection Flow Past an Exponentially Stretching Sheet with Hall Current." Mathematical Problems in Engineering 2012 (2012): 1–26. http://dx.doi.org/10.1155/2012/454023.

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The effect of thermal radiation on steady hydromagnetic heat transfer by mixed convection flow of a viscous incompressible and electrically conducting fluid past an exponentially stretching continuous sheet is examined. Wall temperature and stretching velocity are assumed to vary according to specific exponential forms. An external strong uniform magnetic field is applied perpendicular to the sheet and the Hall effect is taken into consideration. The resulting governing equations are transformed into a system of nonlinear ordinary differential equations using appropriate transformations and th

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10

Souayeh, Basma, and Katta Ramesh. "Numerical Scrutinization of Ternary Nanofluid Flow over an Exponentially Stretching Sheet with Gyrotactic Microorganisms." Mathematics 11, no. 4 (2023): 981. http://dx.doi.org/10.3390/math11040981.

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In the modern age, the study of nanofluids over the stretching sheet has received much attention from researchers due to its significant role in the polymer industry, for instance in the production of fibre sheets and the extrusion of molten polymers through a slit die. Due to these affordable applications, the current study focusses on the motion of metallic ternary nanofluids (Ag-Au-Cu/H2O) past an exponential stretching sheet, taking diverse effects such as gyrotactic microorganisms, activation energy, buoyancy forces and thermal radiation into consideration. The model was created with the

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11

Anwar, Muhammad Imran, Hina Firdous, A. Al Zubaidi, Nadeem Abbas, and Sohail Nadeem. "Computational analysis of induced magnetohydrodynamic non-Newtonian nanofluid flow over nonlinear stretching sheet." Progress in Reaction Kinetics and Mechanism 47 (January 2022): 146867832110727. http://dx.doi.org/10.1177/14686783211072712.

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In the current article, induced magnetic field applied on second-grade fluid flow under variable thermal conductivity by an exponentially stretching sheet is taken into account for current analysis. The chemical reaction and viscous dissipation effects under the influence of thermophoresis and Brownian motion are considered on an exponentially stretching sheet. With the above assumptions, a mathematical model was developed in terms of partial differential equations by using the boundary-layer approximations. Similarity transformations in terms of ordinary differential equations considerably si

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12

Narayana, K. Lakshmi, and K. Gangadhar. "Magneto-Nanofluid Over an Exponentially Stretching Permeable Sheet with Viscous Dissipation." i-manager’s Journal on Mathematics 3, no. 4 (2014): 15–26. http://dx.doi.org/10.26634/jmat.3.4.3185.

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13

Hussain, Tariq, Sabir Ali Shehzad, Tasawar Hayat, Ahmed Alsaedi, Falleh Al-Solamy, and Muhammad Ramzan. "Radiative Hydromagnetic Flow of Jeffrey Nanofluid by an Exponentially Stretching Sheet." PLoS ONE 9, no. 8 (2014): e103719. http://dx.doi.org/10.1371/journal.pone.0103719.

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14

Hayat, T., M. Imtiaz, and A. Alsaedi. "Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet." Applied Mathematics and Mechanics 37, no. 5 (2016): 573–82. http://dx.doi.org/10.1007/s10483-016-2072-8.

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15

Mathur, Priya, and Satyaranjan Mishra. "Free convective magnetohydrodynamic flow over an exponentially stretching sheet with radiation." Heat Transfer-Asian Research 48, no. 7 (2019): 3371–83. http://dx.doi.org/10.1002/htj.21546.

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16

Kaushik, Preeti. "Analysis of MHD Flow on Exponentially Stretching Sheet with Slip Conditions." International Journal of Research and Innovation in Applied Science X, no. VI (2025): 264–72. https://doi.org/10.51584/ijrias.2025.10060015.

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This work examines radiative heat transfer and magnetohydrodynamic (MHD) boundary layer flow with second-order slip condition. The fluid flow in the direction of an exponentially stretched sheet is taken into consideration. Thermal conductivity and the impact of the magnetic field are considered. By using similarity transformation, the nonlinear mathematical expression of the flow that is acquired is converted into ordinary differential equations. Numerical solutions are found for the linked higher order nonlinear ordinary differential equations. Analysis is done on the velocity and temperatur

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17

Mwamba, Nictor. "Powell-Eyring Nanofluid Flow over a Stretching Sheet." Applied and Computational Mathematics 13, no. 5 (2024): 153–64. http://dx.doi.org/10.11648/j.acm.20241305.14.

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This research investigates the flow of a Powell-Eyring Nanofluid flowing over an exponentially stretching sheet. Thermal radiation, Soret, dissipation, and Dufour effects have been put into consideration. The obtained partial differential equations(PDE) have been transformed into ordinary differential equations (ODE) using similarity transformation. Numerical solutions are obtained in MATLAB using bvp4c frame work of fourth order accuracy integration scheme. It has been observed that the boundary layer for momentum increases with the velocity ratio while the boundary layers for thermal and con

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18

Mansur, Syahira, Anuar Ishak, and Ioan Pop. "Three-Dimensional Flow and Heat Transfer Past a Permeable Exponentially Stretching/Shrinking Sheet in a Nanofluid." Journal of Applied Mathematics 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/517273.

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The three-dimensional flow and heat transfer of a nanofluid over a stretching/shrinking sheet is investigated. Numerical results are obtained using bvp4c in MATLAB. The results show nonunique solutions for the shrinking case. The effects of the stretching/shrinking parameter, suction parameter, Brownian motion parameter, thermophoresis parameter, and Lewis number on the local skin friction coefficient and the local Nusselt number are studied. Suction increases the solution domain. Furthermore, as the sheet is shrunk in thex-direction, suction increases the skin friction coefficient in the same

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19

Bhattacharyya, Krishnendu, and G. C. Layek. "Magnetohydrodynamic Boundary Layer Flow of Nanofluid over an Exponentially Stretching Permeable Sheet." Physics Research International 2014 (January 8, 2014): 1–12. http://dx.doi.org/10.1155/2014/592536.

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A mathematical model of the steady boundary layer flow of nanofluid due to an exponentially permeable stretching sheet with external magnetic field is presented. In the model, the effects of Brownian motion and thermophoresis on heat transfer and nanoparticle volume friction are considered. Using shooting technique with fourth-order Runge-Kutta method the transformed equations are solved. The study reveals that the governing parameters, namely, the magnetic parameter, the wall mass transfer parameter, the Prandtl number, the Lewis number, Brownian motion parameter, and thermophoresis parameter

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20

A’isyah Jaafar, Zanariah Mohd Yusof, Noraini Ahmad, and Anuar Jamaludin. "The Effects of Buoyancy, Magnetic Field and Thermal Radiation on the Flow and Heat Transfer due to an Exponentially Stretching Sheet." CFD Letters 15, no. 4 (2023): 1–16. http://dx.doi.org/10.37934/cfdl.15.4.116.

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The boundary layer flow and heat transfer across an exponentially stretched sheet with buoyancy, magnetic field, and thermal radiation are investigated. The similarity transformation is applied to the governing equations to generate nonlinear ordinary differential equations. They are resolved using a numerical technique referred to the Keller-box method. The impact of determined controlling parameters on flow and heat transfer characteristics are investigated. It has been discovered that the buoyancy parameter increases both the heat transfer rate and fluid flow from the exponentially extendin

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21

Khan, Abdul Samad, He-Yong Xu, and Waris Khan. "Magnetohydrodynamic Hybrid Nanofluid Flow Past an Exponentially Stretching Sheet with Slip Conditions." Mathematics 9, no. 24 (2021): 3291. http://dx.doi.org/10.3390/math9243291.

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This study presents the magnetized hybrid nanofluid flow with heat source/sink over an exponentially stretching/shrinking sheet. Slip conditions are implemented to analyze the hybrid nanofluid flow for both slip and no-slip conditions. Additionally, the hybrid nanofluid of alumina and copper (hybrid nanoparticles) with blood (base fluid) has been considered and discussed with both suction and injection parameters. The appropriate similarity variables are used to convert partial differential equations (PDEs) into ordinary differential equations (ODEs) and solved analytically with the help of th

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22

Mushtaq, Ammar, Meraj Mustafa, Tasawar Hayat, Mahmood Rahi, and Ahmed Alsaedi. "Exponentially Stretching Sheet in a Powell–Eyring Fluid: Numerical and Series Solutions." Zeitschrift für Naturforschung A 68, no. 12 (2013): 791–98. http://dx.doi.org/10.5560/zna.2013-0063.

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This work theoretically examines the flow and heat transfer characteristics due to an exponentially stretching sheet in a Powell-Eyring fluid. Governing partial differential equations are nondimensionalized and transformed into non-similar forms. Explicit analytic expressions of velocity and temperature functions are developed by homotopy analysis method (HAM). The Numerical solutions are obtained by using shooting method with fourth-order Runge-Kutta integration technique. The fields are influence appreciably with the variation of embedding parameters. We noticed that the velocity ratio has a

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23

Chaudhary, Santosh, and Pradeep Kumar. "Magnetohydrodynamic boundary layer flow over an exponentially stretching sheet with radiation effects." Applied Mathematical Sciences 9 (2015): 1097–106. http://dx.doi.org/10.12988/ams.2015.411904.

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24

Swain, I., S. R. Mishra, and H. B. Pattanayak. "Flow over Exponentially Stretching Sheet through Porous Medium with Heat Source/Sink." Journal of Engineering 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/452592.

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An attempt has been made to study the heat and mass transfer effect in a boundary layer MHD flow of an electrically conducting viscous fluid subject to transverse magnetic field on an exponentially stretching sheet through porous medium. The effect of thermal radiation and heat source/sink has also been discussed in this paper. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and then solved numerically using a fourth-order Runge-Kutta method with a shooting technique. Graphical results are displayed for n

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25

Shahzad, Azeem, Ramzan Ali, Muhammad Kamran, Salah Ud-Din Khan, Shahab Ud-Din Khan, and Aamir Farooq. "Axisymmetric flow with heat transfer over exponentially stretching sheet: A computational approach." Physica A: Statistical Mechanics and its Applications 554 (September 2020): 124242. http://dx.doi.org/10.1016/j.physa.2020.124242.

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26

Nadeem, Sohail, Rizwan Ul Haq, and Zafar Hayat Khan. "Heat transfer analysis of water-based nanofluid over an exponentially stretching sheet." Alexandria Engineering Journal 53, no. 1 (2014): 219–24. http://dx.doi.org/10.1016/j.aej.2013.11.003.

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27

Khan, Muhammad Naveed, and Sohail Nadeem. "Theoretical treatment of bio-convective Maxwell nanofluid over an exponentially stretching sheet." Canadian Journal of Physics 98, no. 8 (2020): 732–41. http://dx.doi.org/10.1139/cjp-2019-0380.

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The heat and mass transfer of unsteady two-dimensional flow of a bio-convective non-Newtonian Maxwell nanofluid past an exponentially stretching sheet is presented. A viscous dissipation and external magnetic field along multiple slip conditions and chemical reactions are incorporated. The governing partial differential equations are reduced to the system of ordinary differential equations by applying suitable transformations. Using the bvp4c -shooting technique, we were able to solve the boundary value problem. The influence of the obtained parameters are deliberated graphically on the veloci

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28

Hayat, Tasawar, Bilal Ashraf, Sabir Ali Shehzad, and Elbaz Abouelmagd. "Three-dimensional flow of Eyring Powell nanofluid over an exponentially stretching sheet." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 3 (2015): 593–616. http://dx.doi.org/10.1108/hff-05-2014-0118.

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Purpose – The purpose of this paper is to analyze the Eyring Powell fluid over an exponentially stretching surface. Heat and mass transfer effects are taken into account with nanoparticles. Design/methodology/approach – Appropriate transformations are employed to reduce the boundary layer partial differential equations into ordinary differential equations. Series solutions of the problem are obtained and impacts of physical parameters on the velocities, temperature and concentration profiles are discussed. Findings – Numerical values of local Nusselt and Sherwood numbers for all the involved p

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29

Srinivasacharya, D., and P. Jagadeeshwar. "Flow over an Exponentially Stretching Sheet with Hall and Cross-Diffusion Effects." Journal of Nanofluids 8, no. 7 (2019): 1592–600. http://dx.doi.org/10.1166/jon.2019.1695.

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30

Manjunath, S., and D. Sreelakshmi. "The Study of Navier Slip Condition on the Flow and Heat Transfer in a Coolant Surrounded an Exponentially Stretching Sheet." Mapana - Journal of Sciences 14, no. 3 (2015): 43–60. http://dx.doi.org/10.12723/mjs.34.2.

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The paper presents the study of velocity profiles in a hydrodynamic flow and heat transfer in a Newtonian fluid over an exponentially stretching sheet. Navier slip condition is used at the boundary. The stretching of the sheet is assumed to be nonlinearly proportional to the distance from slit. Non-linear partial differential equations characterize the flow phenomenon with boundary conditions in a semi infinite domain. The equations are transformed to nonlinear ordinary differential equations by applying suitable local similarity transformation. The series solution of the transformed equations

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31

Malvandi, A., F. Hedayati, and G. Domairry. "Stagnation Point Flow of a Nanofluid toward an Exponentially Stretching Sheet with Nonuniform Heat Generation/Absorption." Journal of Thermodynamics 2013 (August 18, 2013): 1–12. http://dx.doi.org/10.1155/2013/764827.

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This paper deals with the steady two-dimensional stagnation point flow of nanofluid toward an exponentially stretching sheet with nonuniform heat generation/absorption. The employed model for nanofluid includes two-component four-equation nonhomogeneous equilibrium model that incorporates the effects of Brownian diffusion and thermophoresis simultaneously. The basic partial boundary layer equations have been reduced to a two-point boundary value problem via similarity variables and solved analytically via HAM. Effects of governing parameters such as heat generation/absorption λ, stretching par

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32

Anuar, Nur Syazana, Norfifah Bachok, Norihan Md Arifin, and Haliza Rosali. "Stagnation Point Flow and Heat Transfer over an Exponentially Stretching/Shrinking Sheet in CNT with Homogeneous–Heterogeneous Reaction: Stability Analysis." Symmetry 11, no. 4 (2019): 522. http://dx.doi.org/10.3390/sym11040522.

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This study focuses on the flow of stagnation region and heat transfer of carbon nanotubes (CNTs) over an exponentially stretching/shrinked sheet in the presence of homogeneous–heterogeneous reactions. Kerosene and water are considered base fluids in both single-wall and multi-wall carbon nanotubes. After employing the appropriate similarity variables, the system of partial differential equations is transformed to a system of nonlinear ordinary differential equations. Solution of the problems is obtained numerically using the bvp4c solver in MATLAB software. The impact of physical parameters, s

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33

Mohyud-Din, Syed Tauseef, Muhammad Hamid, Muhammad Usman, et al. "Rotating flow of nanofluid due to exponentially stretching surface: An optimal study." Journal of Algorithms & Computational Technology 13 (January 2019): 174830261988136. http://dx.doi.org/10.1177/1748302619881365.

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In this article, the presented study is based on a modification in Gegenbauer wavelets method. The modeled problem is presented to analyze the phenomena of transfer of heat of rotating nanofluids in which the flow is produced by an exponentially stretching sheet. The purpose of this study is to examine the simultaneous effects of rotation of nanofluid and exponentially stretching on the shear stresses and heat transfer rate, cooling proficiency of water-based nanofluids containing Ag, Cu, Al2O3, TiO2, and CuO nanoparticles, and modification in Gegenbauer wavelets method to obtain the numerical

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34

Dawar, Abdullah, Anwar Saeed, Zahir Shah, Wiyada Kumam, Saeed Islam, and Poom Kumam. "Analytical Simulation for Magnetohydrodynamic Maxwell Fluid Flow Past an Exponentially Stretching Surface with First-Order Velocity Slip Condition." Coatings 11, no. 8 (2021): 1009. http://dx.doi.org/10.3390/coatings11081009.

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The study of fluid flow upon an exponentially stretching surface has significant importance due to its applications in technological phenomena at the industrial level. These applications include condensing process of fluid film, heat exchanger processes, extrusion of plastic sheet in aerodynamics, cooling process of metal sheet, and growth of crystals, etc. Keeping in view all these applications, in this paper, we have discussed the magnetohydrodynamic flow of Maxwell fluid past an exponentially stretching sheet. The stretching surface is considered to be slippery by imposing the velocity slip

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35

Sushil, Prasad, Sood Shilpa, and Thakur Archie. "Stagnation-Point Slip Flow of Hybrid Ferrofluid Past Exponentially Stretching Sheet in Darcy-Forchheimer Space." Indian Journal of Science and Technology 17, no. 10 (2024): 881–90. https://doi.org/10.17485/IJST/v17i10.1910.

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Abstract <strong>Objectives:</strong> The present article provides a detailed analysis on the Darcy-Forchheimer hybrid nanofluids flow past an exponentially stretching sheet in the presence of mixed convection with slip conditions and the impacts of different relevant parameters of the fluid flow for velocity and temperature profiles. <strong>Methods:</strong> In order to create hybrid nanofluids, two magnetic nanoparticles, magnetite ( ) and cobalt ferrite ( ), are taken into consideration. The governing boundary layer coupled partial differential equations are transformed into

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36

Shankar Goud, B., P. Srilatha, P. Bindu, and Y. Hari Krishna. "RADIATION EFFECT ON MHD BOUNDARY LAYER FLOW DUE TO AN EXPONENTIALLY STRETCHING SHEET." Advances in Mathematics: Scientific Journal 9, no. 12 (2020): 10755–61. http://dx.doi.org/10.37418/amsj.9.12.59.

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37

Islam, M. A., M. Y. Ali, and S. M. O. Gani. "Unsteady Heat and Mass Transfer Slip Flow over an Exponentially Permeable Stretching Sheet." Journal of Scientific Research 14, no. 2 (2022): 443–57. http://dx.doi.org/10.3329/jsr.v14i2.55577.

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In this paper, the problem of unsteady two-dimensional boundary layer heat and mass transfer flow over an exponentially stretching sheet embedded in a porous medium in the presence of a uniform magnetic field with thermal radiation, heat generation/absorption, and suction/blowing is analyzed numerically. Instead of no-slip boundary conditions, velocity slip, thermal slip, and mass slips at the boundary are considered. Using a suitable similarity transformation, the governing partial differential equations are transformed to a system coupled with nonlinear ordinary differential equations. The r

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38

Srinivasacharya, Darbhashayanam, and Pashikanti Jagadeeshwar. "Flow over an Exponentially Stretching Sheet with Double Dispersion and Convective Thermal Condition." Mathematical Modelling of Engineering Problems 6, no. 2 (2019): 300–308. http://dx.doi.org/10.18280/mmep.060219.

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39

Rehman, Abdul. "Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet." International Journal of Fluid Mechanics & Thermal Sciences 3, no. 3 (2017): 25. http://dx.doi.org/10.11648/j.ijfmts.20170303.11.

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40

Mustafa, M., A. Mushtaq, T. Hayat, and A. Alsaedi. "Radiation effects in three-dimensional flow over a bi-directional exponentially stretching sheet." Journal of the Taiwan Institute of Chemical Engineers 47 (February 2015): 43–49. http://dx.doi.org/10.1016/j.jtice.2014.10.011.

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41

Hayat, T., M. Waqas, S. A. Shehzad, and A. Alsaedi. "Chemically reactive flow of third grade fluid by an exponentially convected stretching sheet." Journal of Molecular Liquids 223 (November 2016): 853–60. http://dx.doi.org/10.1016/j.molliq.2016.09.007.

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42

Mukhopadhyay, Swati, Krishnendu Bhattacharyya, and G. C. Layek. "MASS TRANSFER OVER AN EXPONENTIALLY STRETCHING POROUS SHEET EMBEDDED IN A STRATIFIED MEDIUM." Chemical Engineering Communications 201, no. 2 (2013): 272–86. http://dx.doi.org/10.1080/00986445.2013.768236.

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43

Mushtaq, A., M. Mustafa, T. Hayat, and A. Alsaedi. "Numerical study for rotating flow of nanofluids caused by an exponentially stretching sheet." Advanced Powder Technology 27, no. 5 (2016): 2223–31. http://dx.doi.org/10.1016/j.apt.2016.08.007.

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44

Ahmad, Kartini, Zahir Hanouf, and Anuar Ishak. "Mixed convection Jeffrey fluid flow over an exponentially stretching sheet with magnetohydrodynamic effect." AIP Advances 6, no. 3 (2016): 035024. http://dx.doi.org/10.1063/1.4945401.

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Ismail, A. Mohamed, S. Ganesh, and C. K. Kirubhashankar. "Analysis of dusty fluid flow over an exponentially stretching sheet through porous medium." International Journal of Mathematical Analysis 9 (2015): 209–15. http://dx.doi.org/10.12988/ijma.2015.412394.

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Shehzad, S. A., T. Hayat, and A. Alsaedi. "Flow of a thixotropic fluid over an exponentially stretching sheet with heat transfer." Journal of Applied Mechanics and Technical Physics 57, no. 4 (2016): 672–80. http://dx.doi.org/10.1134/s0021894416040118.

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Srinivasacharya, D., and P. Jagadeeshwar. "Effect of Viscous Dissipation and Thermoporesis on the Flow Over an Exponentially Stretching Sheet." International Journal of Applied Mechanics and Engineering 24, no. 2 (2019): 425–38. http://dx.doi.org/10.2478/ijame-2019-0026.

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Abstract This article analyses the influence of viscous dissipation and thermoporesis effects on the viscous fluid flow over a porous sheet stretching exponentially by applying convective boundary condition. The numerical solutions to the governing equations are evaluated using a local similarity and non-similarity approach along with a successive linearisation procedure and Chebyshev collocation method. The influence of the pertinent parameters on the physical quantities are displayed through graphs.

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Devi, Rekha, and Shilpa Sood. "Investigation of Mixed Convective Stagnated Flow of Casson Nanofluid Past an Exponentially Stretching Sheet, using the Darcy - Forchheimer Model." International Journal of Science and Research (IJSR) 12, no. 10 (2023): 1777–85. http://dx.doi.org/10.21275/sr231023123321.

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Dey, Debasish, Madhurya Hazarika, and Rupjyoti Borah. "ENTROPY GENERATION ANALYSIS OF MAGNETIZED MICROPOLAR FLUID STREAMING ABOVE AN EXPONENTIALLY EXTENDING PLANE." Latin American Applied Research - An international journal 51, no. 4 (2021): 255–60. http://dx.doi.org/10.52292/j.laar.2021.716.

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Numerical procedure of solving boundary value problems using MATLAB software has been applied to study the irreversibilies caused by magnetized micropolar fluid streaming above an extending surface. The factors responsible for irreversibilities are thermal and concentration distributions, Lorentz force etc. The entropy generation rates are shown pictorially through some figures and irreversibilities are shown in tabular form. Keywords-- MHD, Micropolar fluid, Heat transfer, Mass transfer, Exponentially stretching/shrinking sheet, Entropy generation.

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Nayak, Manoj K., Ibukun S. Oyelakin, Ali J. Chamkha, Sabyasachi Mondal, and Precious Sibanda. "Three-Dimensional Rotating Flow of an Oldroyd-B Nanofluid with Relaxation-Retardation Viscous Dissipation." Journal of Nanofluids 10, no. 3 (2021): 408–19. http://dx.doi.org/10.1166/jon.2021.1795.

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The principal aim of this study is to explore the impact of relaxation-retardation viscous dissipation, nonlinear convection, variable chemical reaction, and nonlinear thermal radiation on the three-dimensional rotating flow of an Oldroyd-B nanofluid over an exponentially extended surface. The Buongiorno model that takes into account the Brownian movement and thermophoresis responsible for nanoparticle motion. Exponentially varying temperature and concentration associated with convective heat transfer coefficients are assumed in the boundary conditions. The system of dimensionless ODEs is solv

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