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Journal articles on the topic 'Fluids motion'

Author: Grafiati

Published: 6 September 2023

Last updated: 31 July 2025

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1

Fetecau, Constantin, Tahir Mushtaq Qureshi, Abdul Rauf, and Dumitru Vieru. "On the Modified Stokes Second Problem for Maxwell Fluids with Linear Dependence of Viscosity on the Pressure." Symmetry 14, no. 2 (2022): 219. http://dx.doi.org/10.3390/sym14020219.

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The modified Stokes second problem for incompressible upper-convected Maxwell (UCM) fluids with linear dependence of viscosity on the pressure is analytically and numerically investigated. The fluid motion, between infinite horizontal parallel plates, is generated by the lower wall, which oscillates in its plane. The movement region of the fluid is symmetric with respect to the median plane, but its motion is asymmetric due to the boundary conditions. Closed-form expressions are found for the steady-state components of start-up solutions for non-dimensional velocity and the corresponding non-t

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2

Fetecau, Constantin, Dumitru Vieru, Abdul Rauf, and Tahir Mushtaq Qureshi. "STEADY-STATE SOLUTIONS FOR SOME MOTIONS OF MAXWELL FLUIDS WITH PRESSURE-DEPENDENCE OF VISCOSITY." Journal of Mathematical Sciences: Advances and Applications 68, no. 1 (2021): 1–28. http://dx.doi.org/10.18642/jmsaa_7100122224.

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Two isothermal motions of incompressible Maxwell fluids with power-law dependence of viscosity on the pressure are investigated when gravity effects are taken into account. The fluid motion, between two infinite horizontal parallel plates, is generated by the lower plate that applies a time-dependent shear stress to the fluid. Exact expressions are established for the steady-state components of the dimensionless start-up velocity, shear stress, and normal stress. They are used to find the needed time to touch the steady-state and to provide corresponding solutions for the motion of the same fl

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3

Fetecau, Constantin, Dumitru Vieru, Waqas Nazeer, and Shehraz Akhtar. "Long-time solutions for some mixed boundary value problems depicting motions of a class of Maxwell fluids with pressure dependent viscosity." Open Journal of Mathematical Sciences 6, no. 1 (2022): 192–204. http://dx.doi.org/10.30538/oms2022.0188.

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Closed-form expressions are established for dimensionless long-tome solutions of some mixed initial-boundary value problems. They correspond to three isothermal unsteady motions of a class of incompressible Maxwell fluids with power-law dependence of viscosity on the pressure. The fluid motion, between infinite horizontal parallel flat plates, is induced by the lower plate that applies time-dependent shear stresses to the fluid. As a check of the obtained results, the similar solutions corresponding to the classical incompressible Maxwell fluids performing same motions are recovered as limitin

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4

Fetecau, Constantin, Dumitru Vieru, and Ahmed Zeeshan. "Analytical Solutions for Two Mixed Initial-Boundary Value Problems Corresponding to Unsteady Motions of Maxwell Fluids through a Porous Plate Channel." Mathematical Problems in Engineering 2021 (April 24, 2021): 1–13. http://dx.doi.org/10.1155/2021/5539007.

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Two unsteady motions of incompressible Maxwell fluids between infinite horizontal parallel plates embedded in a porous medium are analytically studied to get exact solutions using the finite Fourier cosine transform. The motion is induced by the lower plate that applies time-dependent shear stresses to the fluid. The solutions that have been obtained satisfy all imposed initial and boundary conditions. They can be easily reduced as limiting cases to known solutions for the incompressible Newtonian fluids. For a check of their correctness, the steady-state solutions are presented in different f

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5

Fetecau, Constantin, Dumitru Vieru, Tehseen Abbas, and Rahmat Ellahi. "Analytical Solutions of Upper Convected Maxwell Fluid with Exponential Dependence of Viscosity under the Influence of Pressure." Mathematics 9, no. 4 (2021): 334. http://dx.doi.org/10.3390/math9040334.

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Some unsteady motions of incompressible upper-convected Maxwell (UCM) fluids with exponential dependence of viscosity on the pressure are analytically studied. The fluid motion between two infinite horizontal parallel plates is generated by the lower plate, which applies time-dependent shear stresses to the fluid. Exact expressions, in terms of standard Bessel functions, are established both for the dimensionless velocity fields and the corresponding non-trivial shear stresses using the Laplace transform technique and suitable changes of the unknown function and the spatial variable in the tra

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6

Fetecau, Constantin, and Dumitru Vieru. "General Solutions for Some MHD Motions of Second-Grade Fluids between Parallel Plates Embedded in a Porous Medium." Symmetry 15, no. 1 (2023): 183. http://dx.doi.org/10.3390/sym15010183.

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General solutions are established for an initial boundary value problem by means of the integral transforms. They correspond to the isothermal MHD unidirectional motion of incompressible second-grade fluids between infinite horizontal parallel plates embedded in a porous medium. The fluid motion, which in some situations becomes symmetric with respect to the median plane, is generated by the two plates that apply time-dependent arbitrary shear stresses to the fluid. Closed-form expressions are established both for the fluid velocity and the corresponding non-trivial shear stress. Using an impo

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7

Fetecau, Constantin, Rahmat Ellahi, and Sadiq M. Sait. "Mathematical Analysis of Maxwell Fluid Flow through a Porous Plate Channel Induced by a Constantly Accelerating or Oscillating Wall." Mathematics 9, no. 1 (2021): 90. http://dx.doi.org/10.3390/math9010090.

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Exact expressions for dimensionless velocity and shear stress fields corresponding to two unsteady motions of incompressible upper-convected Maxwell (UCM) fluids through a plate channel are analytically established. The porous effects are taken into consideration. The fluid motion is generated by one of the plates which is moving in its plane and the obtained solutions satisfy all imposed initial and boundary conditions. The starting solutions corresponding to the oscillatory motion are presented as sum of their steady-state and transient components. They can be useful for those who want to el

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8

Vieru, Dumitru, Constantin Fetecau, and Zulkhibri Ismail. "Magnetohydrodynamic Motions of Oldroyd-B Fluids in Infinite Circular Cylinder That Applies Longitudinal Shear Stresses to the Fluid or Rotates Around Its Axis." Mathematics 12, no. 20 (2024): 3207. http://dx.doi.org/10.3390/math12203207.

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Two classes of magnetohydrodynamic (MHD) motions of the incompressible Oldroyd-B fluids through an infinite cylinder are analytically investigated. General expressions are firstly established for shear stress and velocity fields corresponding to the motion induced by longitudinal shear stress on the boundary. For validation, the expression of the shear stress is determined by two different methods. Using an important remark regarding the governing equations for shear stress and fluid velocity corresponding to the two different motions, this expression is then used to provide the dimensionless

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9

Fetecau, Constantin, Dumitru Vieru, Abdul Rauf, and Tahir Mushtaq Qureshi. "Mixed initial-boundary value problems describing motions of Maxwell fluids with linear dependence of viscosity on the pressure." Zeitschrift für Naturforschung A 76, no. 12 (2021): 1107–24. http://dx.doi.org/10.1515/zna-2021-0212.

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Abstract Some mixed initial-boundary value problems are analytically studied. They correspond to unsteady motions of the incompressible upper-convected Maxwell (IUCM) fluids with linear dependence of viscosity on the pressure between infinite horizontal parallel plates. The fluid motion is generated by the upper plate that applies time-dependent shear stresses to the fluid. Exact solutions are established for the dimensionless velocity and nontrivial shear stress fields using a suitable change of the spatial variable and the Laplace transform technique. They are presented as sum of the steady-

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10

Fetecau, Constantin, Shehraz Akhtar, and Costică Moroşanu. "Porous and Magnetic Effects on Modified Stokes’ Problems for Generalized Burgers’ Fluids." Dynamics 3, no. 4 (2023): 803–19. http://dx.doi.org/10.3390/dynamics3040044.

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In this paper, exact analytical expressions are derived for dimensionless steady-state solutions corresponding to the modified Stokes’ problems for incompressible generalized Burgers’ fluids, considering the influence of porous and magnetic effects. Actually, these are the first exact solutions for such motions of these fluids. They can easily be particularized to give similar solutions for Newtonian, second-grade, Maxwell, Oldroyd-B and Burgers’ fluids. It is also proven that MHD motion problems of such fluids between infinite parallel plates can be investigated when shear stress is applied a

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11

Fetecau, Constantin, Costică Moroşanu, and Shehraz Akhtar. "A Strange Result Regarding Some MHD Motions of Generalized Burgers’ Fluids with a Differential Expression of Shear Stress on the Boundary." AppliedMath 4, no. 1 (2024): 289–304. http://dx.doi.org/10.3390/appliedmath4010015.

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In this work, we investigate isothermal MHD motions of a large class of rate type fluids through a porous medium between two infinite horizontal parallel plates when a differential expression of the non-trivial shear stress is prescribed on the boundary. Exact expressions are provided for the dimensionless steady state velocities, shear stresses and Darcy’s resistances. Obtained solutions can be used to find the necessary time to touch the steady state or to bring to light certain characteristics of the fluid motion. Graphical representations showed the fluid moves slower in presence of a magn

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12

Caimmi, R. "R fluids." Serbian Astronomical Journal, no. 176 (2008): 23–35. http://dx.doi.org/10.2298/saj0876023c.

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A theory of collisionless fluids is developed in a unified picture, where nonrotating (?f1 = ?f2 = ?f3 = 0) figures with some given random velocity component distributions, and rotating (?f1 = ?f2 = ?f3 ) figures with a different random velocity component distributions, make adjoint configurations to the same system. R fluids are defined as ideal, self-gravitating fluids satisfying the virial theorem assumptions, in presence of systematic rotation around each of the principal axes of inertia. To this aim, mean and rms angular velocities and mean and rms tangential velocity components are expre

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13

Zhang, Xiangxiang, Kai Gu, Chengyu Liu, Yangbing Cao, J. G. Wang, and Feng Gao. "Study on Fluid Front Motion of Water, Nitrogen, and CO2 during Anisotropic Flow in Shale Reservoirs." Geofluids 2022 (December 5, 2022): 1–9. http://dx.doi.org/10.1155/2022/7202972.

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The fluid front motion is an important phenomenon during anisotropic fluid flow in rock engineering. The pore pressure and mechanical responses may be significantly influenced and show an obvious difference near the moving fluid front. However, few studies have been conducted to investigate the front motion of different types of fluids during anisotropic fluid flow. In this work, a numerical model was proposed to detect the front motion of water, nitrogen, and CO2 in anisotropic shale reservoirs. The full coupling effects among mechanical deformation, fluid flow, and moving boundary in anisotr

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14

Fetecau, Constantin, and Dumitru Vieru. "Steady-state solutions for modified Stokes’ second problem of Maxwell fluids with power-law dependence of viscosity on the pressure." Open Journal of Mathematical Sciences 6, no. 1 (2022): 14–24. http://dx.doi.org/10.30538/oms2022.0175.

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Analytical expressions for the steady-state solutions of modified Stokes’ second problem of a class of incompressible Maxwell fluids with power-law dependence of viscosity on the pressure are determined when the gravity effects are considered. Fluid motion is generated by a flat plate that oscillates in its plane. We discuss similar solutions for the simple Couette flow of the same fluids. Obtained results can be used by the experimentalists who want to know the required time to reach the steady or permanent state. Furthermore, we discuss the accuracy of results by graphical comparisons betwee

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15

Fetecau, Constantin, and Abdul Rauf. ""Permanent solutions for some motions of UCM fluids with power-law dependence of viscosity on the pressure"." Studia Universitatis Babes-Bolyai Matematica 66, no. 1 (2021): 197–209. http://dx.doi.org/10.24193/subbmath.2021.1.16.

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Steady motion of two types of incompressible Maxwell fluids with power-law dependence of viscosity on the pressure is analytically studied between infinite horizontal parallel plates when the gravity effects are taken into consideration. Simple and exact expressions are established for the permanent components of starting solutions corresponding to two oscillatory motions induced by the lower plate that oscillates in its plane. Such solutions are very important for the experimentalists who want to eliminate the transients from their experiments. The similar solutions for the simple Couette flo

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16

Fetecau, Constantin, and Costică Moroşanu. "Influence of Magnetic Field and Porous Medium on the Steady State and Flow Resistance of Second Grade Fluids over an Infinite Plate." Symmetry 15, no. 6 (2023): 1269. http://dx.doi.org/10.3390/sym15061269.

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The main purpose of this work is to completely solve two motion problems of some differential type fluids when velocity or shear stress is given on the boundary. In order to do that, isothermal MHD motions of incompressible second grade fluids over an infinite flat plate are analytically investigated when porous effects are taken into consideration. The fluid motion is due to the plate moving in its plane with an arbitrary time-dependent velocity or applying a time-dependent shear stress to the fluid. Closed-form expressions are established both for the dimensionless velocity and shear stress

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17

Fetecau, Constantin, and Dumitru Vieru. "Investigating Magnetohydrodynamic Motions of Oldroyd-B Fluids through the Application of a Circular Cylinder Filled with Porous Medium." Processes 12, no. 7 (2024): 1354. http://dx.doi.org/10.3390/pr12071354.

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We analytically investigated the magnetohydrodynamic motions of electrically conductive, incompressible Oldroyd-B fluids through an infinite circular cylinder filled with a porous medium. A general expression was established for the dimensionless velocity of fluid as a cylinder moves along its symmetry axis with an arbitrary velocity; the expression can generate exact solutions for any motion of this fluid type, solving the discussed problem. Special cases were considered and validated through graphical investigation to illustrate important characteristics of fluid behavior. In application, th

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18

Fetecau, Corina, Qammar Rubbab, Shahraz Akhter, and Constantin Fetecau. "New methods to provide exact solutions for some unidirectional motions of rate type fluids." Thermal Science 20, no. 1 (2016): 7–20. http://dx.doi.org/10.2298/tsci130225130f.

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Based on three immediate consequences of the governing equations corresponding to some unidirectional motions of rate type fluids, new motion problems are tackled for exact solutions. For generality purposes, exact solutions are developed for shear stress boundary value problems of generalized Burgers fluids. Such solutions, for which the shear stress instead of its differential expressions is given on the boundary, are lack in the literature for such fluids. Consequently, the first exact solutions for motions of rate type fluids induced by an infinite plate or a circular cylinder that applies

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19

Rana, Mehwish, Nazish Shahid, and Azhar Ali Zafar. "Effects of Side Walls on the Motion Induced by an Infinite Plate that Applies Shear Stresses to an Oldroyd-B Fluid." Zeitschrift für Naturforschung A 68, no. 12 (2013): 725–34. http://dx.doi.org/10.5560/zna.2013-0052.

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Unsteady motions of Oldroyd-B fluids between two parallel walls perpendicular to a plate that applies two types of shears to the fluid are studied using integral transforms. Exact solutions are obtained both for velocity and non-trivial shear stresses. They are presented in simple forms as sums of steady-state and transient solutions and can easily be particularized to give the similar solutions for Maxwell, second-grade and Newtonian fluids. Known solutions for the motion over an infinite plate, applying the same shears to the fluid, are recovered as limiting cases of general solutions. Final

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20

Hohmann, Manuel. "Non-metric fluid dynamics and cosmology on Finsler spacetimes." International Journal of Modern Physics A 31, no. 02n03 (2016): 1641012. http://dx.doi.org/10.1142/s0217751x16410128.

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We generalize the kinetic theory of fluids, in which the description of fluids is based on the geodesic motion of particles, to spacetimes modeled by Finsler geometry. Our results show that Finsler spacetimes are a suitable background for fluid dynamics and that the equation of motion for a collisionless fluid is given by the Liouville equation, as it is also the case for a metric background geometry. We finally apply this model to collisionless dust and a general fluid with cosmological symmetry and derive the corresponding equations of motion. It turns out that the equation of motion for a d

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21

Nelson, J. K. "Dielectric fluids in motion." IEEE Electrical Insulation Magazine 10, no. 3 (1994): 16–28. http://dx.doi.org/10.1109/57.285419.

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22

Vieru, D., C. Fetecau, and C. Bridges. "Analytical Solutions for a General Mixed Boundary Value Problem Associated with Motions of Fluids with Linear Dependence of Viscosity on the Pressure." International Journal of Applied Mechanics and Engineering 25, no. 3 (2020): 181–97. http://dx.doi.org/10.2478/ijame-2020-0042.

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AbstractAn unsteady flow of incompressible Newtonian fluids with linear dependence of viscosity on the pressure between two infinite horizontal parallel plates is analytically studied. The fluid motion is induced by the upper plate that applies an arbitrary time-dependent shear stress to the fluid. General expressions for the dimensionless velocity and shear stress fields are established using a suitable change of independent variable and the finite Hankel transform. These expressions, that satisfy all imposed initial and boundary conditions, can generate exact solutions for any motion of this

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23

RAUF, ABDUL, TAHIR MUSHTAQ QURESHI, and CONSTANTIN FETECAU. "ANALYTICAL AND NUMERICAL SOLUTIONS FOR SOME." Mathematical Reports 25(75), no. 3 (2023): 465–79. http://dx.doi.org/10.59277/mrar.2023.25.75.3.465.

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Oscillatory motions of incompressible viscous fluids with exponential dependence of viscosity on the pressure between infinite horizontal parallel plates are analytically and numerically studied. The fluid motion is generated by the lower plate that oscillates in its plane and exact expressions are established for the steady-state solutions. The convergence of starting solutions to the corresponding steady-state solutions is graphically proved. The steady solutions corresponding to the simple Couette flow of the same fluids are obtained as limiting cases of the previous solutions. As expected,

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24

Godin, Oleg A. "Finite-amplitude acoustic-gravity waves: exact solutions." Journal of Fluid Mechanics 767 (February 12, 2015): 52–64. http://dx.doi.org/10.1017/jfm.2015.40.

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AbstractWe consider strongly nonlinear waves in fluids in a uniform gravity field, and demonstrate that an incompressible wave motion, in which pressure remains constant in each fluid parcel, is supported by compressible fluids with free and rigid boundaries. We present exact analytic solutions of nonlinear hydrodynamics equations which describe the incompressible wave motion. The solutions provide an extension of the Gerstner wave in an incompressible fluid with a free boundary to waves in compressible three-dimensionally inhomogeneous moving fluids such as oceans and planetary atmospheres.

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25

Mammadova, Maleyka. "ABOUT DARSY’S LAW DURING FLUIDS MOTION IN THE MICRO-CRACKED CHANNELS." EUREKA: Physics and Engineering 5 (September 30, 2020): 3–11. http://dx.doi.org/10.21303/2461-4262.2020.001386.

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Firstly it has been experimentally revealed that during fluid motion in the micro-cracked channel and in the equivalent porous medium an unknown additional resistance arises in the scientific technical literature that is the “microcrack-fluid” effect. It has been demonstrated that the determined “microcrack-fluid” effect is the cause of linear Darcy’s law violation in the micro-cracked channels. It has been revealed in the work that during fluids moving in the microcracked channel there is a critical size of crack for the homogeneous fluid (water, viscous and anomalous fluids) and a hydrodynam

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26

Velescu, Cornel, and Nicolae Calin Popa. "Laminar Motion of the Incompressible Fluids in Self-Acting Thrust Bearings with Spiral Grooves." Scientific World Journal 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/478401.

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We analyze the laminar motion of incompressible fluids in self-acting thrust bearings with spiral grooves with inner or external pumping. The purpose of the study is to find some mathematical relations useful to approach the theoretical functionality of these bearings having magnetic controllable fluids as incompressible fluids, in the presence of a controllable magnetic field. This theoretical study approaches the permanent motion regime. To validate the theoretical results, we compare them to some experimental results presented in previous papers. The laminar motion of incompressible fluids

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27

Poroshina, Anastasia, and Vasily Vedeneev. "Existence and uniqueness of the stationary state of elastic tubes conveying power law fluid." Russian journal of biomechanics. 22, no. 2 (2018): 169–93. http://dx.doi.org/10.15593/rjbiomech/2018.2.05.

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Instability of elastic tubes with flowing fluid has been studied in many papers theoretically and experimentally in the context of biological applications. Up to the present day, only Newtonian fluid flowing in collapsible tubes has been studied. However, there are circumstances when blood, gall, and other biological fluids have essentially non-Newtonian properties. An important feature of the biological fluids motions in elastic vessels is the possibility of an oscillatory flow. Several mechanisms are possible for the appearance of such flow conditions. When the pressure inside of the tube is

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28

Miao, Rui, Yingchun Chen, Wei Song, Xiaoli Fan, Wei Ye, and Yi Lou. "The motion state of a spherical detector in a horizontal pipeline under different density ratio." Journal of Physics: Conference Series 2787, no. 1 (2024): 012029. http://dx.doi.org/10.1088/1742-6596/2787/1/012029.

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Abstract Pipeline leakage can lead to serious environmental damage and industrial hazards. A spherical detector is a device for detecting pipeline leakage, which can locate the leakage position. To ensure the stable operation of the detector in a variety of media fluids, this paper uses the numerical simulation method to study the motion state of the sphere and the influence of different density fluids on its motion. It is found that the resistance and lift of the sphere under different density fluids are different, which will affect the motion trajectory of the detector and the speed of the s

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29

Fetecau, Constantin, and Hanifa Hanif. "Effects of Magnetic Field on Modified Stokes Problems Involving Fluids Whose Viscosity Depends Exponentially on Pressure." Axioms 14, no. 2 (2025): 124. https://doi.org/10.3390/axioms14020124.

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In this study, precise analytical formulas were obtained for dimensionless steady-state velocity and shear stress in modified Stokes flow scenarios involving fluids whose viscosity varies exponentially with pressure, with magnetic effects and gravitational acceleration also taken into account. Actually, these are the first exact solutions for such motions of fluids with exponential dependence of viscosity on pressure in which magnetic effects are taken into consideration. They are important for experimental researchers who want to know the transition moment of a motion to the steady state. In

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30

Walicka, A. "Basic Flows of Generalized Second Grade Fluids Based on a Sisko Model." International Journal of Applied Mechanics and Engineering 22, no. 4 (2017): 1019–33. http://dx.doi.org/10.1515/ijame-2017-0065.

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Abstract The present investigation is concerned with basic flows of generalized second grade fluids based on a Sisko fluid. After formulation of the general equations of motion three simple flows of viscoplastic fluids of a Sisko type or fluids similar to them are considered. These flows are: Poiseuille flow in a plane channel, Poiseuille flow in a circular pipe and rotating Couette flow between two coaxial cylinders. After presentation the Sisko model one was presented some models of fluids similar to this model. Next it was given the solutions of equations of motion for three flows mentioned

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31

Nooreza, K., T. D. K. Wungu, and F. T. A. Sobar. "Simulating 2D Fluid Motion with the Smooth Particle Hydrodynamic Approach." Journal of Physics: Conference Series 2866, no. 1 (2024): 012044. http://dx.doi.org/10.1088/1742-6596/2866/1/012044.

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Abstract Virtual two-dimensional (2D) fluid simulation is useful for directly simulating fluids in various situations, including geological simulations for landslides and fluid simulations for teaching. This research aims to simulate the behaviour of three different types of fluids (water, coconut oil, and glycerine) in a 2D container and analyse how these three types of fluids behave under various conditions, including interactions with boundaries. The research used Python programming to simulate fluids and the Wondershare Filmora X application to combine images. The Smooth Particle Hydrodyna

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Koutselos, A. D., and J. Samios. "Transport properties of diatomic ions in moderately dense gases in an electrostatic field." Pure and Applied Chemistry 76, no. 1 (2004): 223–29. http://dx.doi.org/10.1351/pac200476010223.

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The motion of diatomic ions in moderately dense fluids under the action of an electrostatic field is studied through a nonequilibrium molecular dynamics simulation method. The method simulates the motion of the ions and the fluid molecules that constitute their immediate environment. Thus, effectively, the dissipation of the excess energy of the ions is reproduced leading to steady drift motion. Results revealed the effect of the fluid density on mobility, ion-effective temperatures and diffusion coefficients parallel and perpendicular to the field at various field strengths for a model diatom

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Fetecau, Constantin, Shehraz Akhtar, Norina Consuela Forna, and Costică Moroşanu. "General Solutions for MHD Motions of Second-Grade Fluids Through a Circular Cylinder Filled with Porous Medium." Symmetry 17, no. 3 (2025): 319. https://doi.org/10.3390/sym17030319.

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The isothermal motion of incompressible second-grade fluids induced by an infinite circular cylinder that rotates around its symmetry axis is analytically and numerically investigated when the magnetic and porous effects are taken into consideration. General closed-form expressions are established for the dimensionless velocity field and the corresponding motion problem is completely solved. For illustration, some special cases are considered, and the results’ correctness is graphically proved. Based on a simple but important observation, the obtained results have been used to provide a genera

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34

Maleyka, Mammadova. "ABOUT DARSY'S LAW DURING FLUIDS MOTION IN THE MICRO-CRACKED CHANNELS." EUREKA: Physics and Engineering, no. 5 (September 30, 2020): 3–11. https://doi.org/10.21303/2461-4262.2020.001386.

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Abstract:

Firstly it has been experimentally revealed that during fluid motion in the micro-cracked channel and in the equivalent porous medium an unknown additional resistance arises in the scientific technical literature that is the “microcrack-fluid” effect. It has been demonstrated that the determined “microcrack-fluid” effect is the cause of linear Darcy’s law violation in the micro-cracked channels. It has been revealed in the work that during fluids moving in the microcracked channel there is a critical size of crack for the homogeneous fluid (water, viscous and anom

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35

Yasappan, Justine, Ángela Jiménez-Casas, and Mario Castro. "Asymptotic Behavior of a Viscoelastic Fluid in a Closed Loop Thermosyphon: Physical Derivation, Asymptotic Analysis, and Numerical Experiments." Abstract and Applied Analysis 2013 (2013): 1–20. http://dx.doi.org/10.1155/2013/748683.

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Fluids subject to thermal gradients produce complex behaviors that arise from the competition with gravitational effects. Although such sort of systems have been widely studied in the literature for simple (Newtonian) fluids, the behavior of viscoelastic fluids has not been explored thus far. We present a theoretical study of the dynamics of a Maxwell viscoelastic fluid in a closed-loop thermosyphon. This sort of fluid presents elastic-like behavior and memory effects. We study the asymptotic properties of the fluid inside the thermosyphon and the exact equations of motion in the inertial mani

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Bush, J. W. M., H. A. Stone, and J. Bloxham. "Axial drop motion in rotating fluids." Journal of Fluid Mechanics 282 (January 10, 1995): 247–78. http://dx.doi.org/10.1017/s0022112095000139.

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A theoretical and experimental investigation of drop motion in rotating fluids is presented. The theory describing the vertical on-axis translation of an axisymmetric rigid body through a rapidly rotating low-viscosity fluid is extended to the case of a buoyant deformable fluid drop of arbitrary viscosity. In the case that inertial and viscous effects are negligible within the bulk external flow, motions are constrained to be two-dimensional in compliance with the Taylor–Proudman theorem, and the rising drop is circumscribed by a Taylor column. Calculations for the drop shape and rise speed de

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Naumov I.V., Sharifullin B.R., and Shtern V.N. "Influence of the upper liquid layer on vortex breakdown in the bioreactor model." Technical Physics Letters 48, no. 10 (2022): 42. http://dx.doi.org/10.21883/tpl.2022.10.54797.19259.

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The motion caused by rotation of the upper disk in a stationary vertical cylindrical container filled with two immiscible fluids is studied experimentally. The vortex breakdown the emergence of reversed motion on the cylinder axis in the lower liquid is investigated as a function of the thickness of the upper liquid layer. It is found that despite the fact that the motion of the upper fluid converges spirally to the cylinder axis near the interface, the vortex breakdown in the lower fluid occurs similarly to what is observed in the case of a single fluid, with the upper disk swirling. This cur

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Constantin, Fetecau. "On the Governing Equations for Velocity and Shear Stress of some Magnetohydrodynamic Motions of Rate-type Fluids and their Applications." IgMin Research 2, no. 1 (2024): 045–47. http://dx.doi.org/10.61927/igmin144.

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The governing equations for the shear stress corresponding to some magnetohydrodynamic (MHD) motions of a large class of rate-type fluids are brought to light. In rectangular domains, the governing equations of velocity and shear stress are identical as form. The provided governing equations can be used to solve motion problems of such fluids when shear stress is prescribed on the boundary. For illustration, the motion in an infinite circular cylinder with shear stress on the boundary is discussed.

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39

Gad-el-Hak, Mohamed. "Splendor of fluids in motion." Progress in Aerospace Sciences 29, no. 2 (1992): 81–123. http://dx.doi.org/10.1016/0376-0421(92)90004-2.

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Kramer, Dietrich. "Perfect fluids with conformal motion." General Relativity and Gravitation 22, no. 10 (1990): 1157–62. http://dx.doi.org/10.1007/bf00759016.

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Millán-Rodríguez, Juan, Michael Bestehorn, Carlos Pérez-García, Rudolf Friedrich, and Marc Neufeld. "Defect Motion in Rotating Fluids." Physical Review Letters 74, no. 4 (1995): 530–33. http://dx.doi.org/10.1103/physrevlett.74.530.

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Fetecau, Constantin, and Dumitru Vieru. "Symmetric and Non-Symmetric Flows of Burgers’ Fluids through Porous Media between Parallel Plates." Symmetry 13, no. 7 (2021): 1109. http://dx.doi.org/10.3390/sym13071109.

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Unidirectional unsteady flows of the incompressible Burgers’ fluids between two infinite horizontal parallel plates are analytically studied when the magnetic and porous effects are taken into consideration. The fluid motion is induced by the two plates, which move in their planes with time-dependent velocities. Exact general expressions are established both for the dimensionless velocity and shear stress fields as well as the corresponding Darcy’s resistance in the channel using the Laplace transform. If both plates move with equal velocities in the same direction, the fluid motion becomes sy

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Fetecau, Constantin, and Dumitru Vieru. "MHD Taylor–Couette Flow of Oldroyd-B Fluids Through a Porous Medium in an Annulus Induced by Time-Dependent Couples." Mathematics 13, no. 5 (2025): 719. https://doi.org/10.3390/math13050719.

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The Taylor–Couette flow of electrically conducting incompressible Oldroyd-B fluids induced by time-dependent couples in an annulus is analytically investigated when magnetic and porous effects are taken into account. Closed-form expressions are established for the dimensionless shear stress, fluid velocity and Darcy’s resistance by means of the integral transforms. Similar solutions for the MHD Taylor–Couette flow of the same fluids through a porous medium induced by a time-dependent couple in an infinite circular cylinder are obtained as limiting cases of previous results. In both cases, the

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Kararsiz, Gokhan, Yasin Cagatay Duygu, Zhengguang Wang, Louis William Rogowski, Sung Jea Park, and Min Jun Kim. "Navigation and Control of Motion Modes with Soft Microrobots at Low Reynolds Numbers." Micromachines 14, no. 6 (2023): 1209. http://dx.doi.org/10.3390/mi14061209.

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This study investigates the motion characteristics of soft alginate microrobots in complex fluidic environments utilizing wireless magnetic fields for actuation. The aim is to explore the diverse motion modes that arise due to shear forces in viscoelastic fluids by employing snowman-shaped microrobots. Polyacrylamide (PAA), a water-soluble polymer, is used to create a dynamic environment with non-Newtonian fluid properties. Microrobots are fabricated via an extrusion-based microcentrifugal droplet method, successfully demonstrating the feasibility of both wiggling and tumbling motions. Specifi

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FORBES, LAWRENCE K., RHYS A. PAUL, MICHAEL J. CHEN, and DAVID E. HORSLEY. "KELVIN–HELMHOLTZ CREEPING FLOW AT THE INTERFACE BETWEEN TWO VISCOUS FLUIDS." ANZIAM Journal 56, no. 4 (2015): 317–58. http://dx.doi.org/10.1017/s1446181115000085.

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The Kelvin–Helmholtz flow is a shearing instability that occurs at the interface between two fluids moving with different speeds. Here, the two fluids are each of finite depth, but are highly viscous. Consequently, their motion is caused by the horizontal speeds of the two walls above and below each fluid layer. The motion of the fluids is assumed to be governed by the Stokes approximation for slow viscous flow, and the fluid motion is thus responsible for movement of the interface between them. A linearized solution is presented, from which the decay rate and the group speed of the wave syste

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Tripathi, M. K., K. C. Sahu, G. Karapetsas, K. Sefiane, and O. K. Matar. "Non-isothermal bubble rise: non-monotonic dependence of surface tension on temperature." Journal of Fluid Mechanics 763 (December 10, 2014): 82–108. http://dx.doi.org/10.1017/jfm.2014.659.

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AbstractWe study the motion of a bubble driven by buoyancy and thermocapillarity in a tube with a non-uniformly heated walls, containing a so-called ‘self-rewetting fluid’; the surface tension of the latter exhibits a parabolic dependence on temperature, with a well-defined minimum. In the Stokes flow limit, we derive the conditions under which a spherical bubble can come to rest in a self-rewetting fluid whose temperature varies linearly in the vertical direction, and demonstrate that this is possible for both positive and negative temperature gradients. This is in contrast to the case of sim

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Ibrahim, Ayad. "Analysis of Electric Field Influence on Heat and Mass Transfer in Non-Newtonian Fluid Flow over a Non-Uniform Surface." KHWARIZMIA 2025 (June 30, 2025): 23–29. https://doi.org/10.70470/khwarizmia/2025/003.

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Electric field-non-Newtonian fluid flow over non-uniform surfaces has attracted significant interest because of its application in many industrial and biomedical systems. In contrast to Newtonian fluids, which exhibit a constant viscosity under different shear conditions, non-Newtonian fluids, including suspensions, biological fluids, and solutions based on polymers, display viscosity that varies with the applied shear rate, leading to more intricate flow dynamics. The behavior of these fluids becomes even more complex when they pass through wavy or uneven geometries because surface characteri

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Fetecau, Constantin, Abdul Rauf, Tahir Mushtaq Qureshi, and Masood Khan. "Permanent solutions for some oscillatory motions of fluids with power-law dependence of viscosity on the pressure and shear stress on the boundary." Zeitschrift für Naturforschung A 75, no. 8 (2020): 757–69. http://dx.doi.org/10.1515/zna-2020-0135.

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AbstractIn this paper, we provide simple expressions for the permanent solutions corresponding to some oscillatory motions of two classes of Newtonian fluids with power-law dependence of viscosity on the pressure between two infinite horizontal parallel plates. The fluid motion is generated by the lower plate that applies an oscillatory shear stress to the fluid. Such solutions, which are lack in the existing literature, can be useful both for those who want to eliminate the transients from their experiments and as tests to verify numerical schemes that are developed to study complex unsteady

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Fetecau, Constantin, Dumitru Vieru, Lucian Eva, and Norina Consuela Forna. "Memory Effects in the Magnetohydrodynamic Axial Symmetric Flows of Oldroyd-B Fluids in a Porous Annular Channel." Symmetry 16, no. 9 (2024): 1108. http://dx.doi.org/10.3390/sym16091108.

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In this article, we analytically investigate the isothermal magnetohydrodynamic axial symmetric flows of ordinary and fractional incompressible Oldroyd-B fluids through a porous medium in an annular channel. The fluid’s motion is generated by an outer cylinder, which moves along its symmetry axis with an arbitrary time-dependent velocity Vh(t). Closed-form expressions are established for the dimensionless velocity fields of both kinds of fluids, generating exact solutions for any motion of this type. To illustrate the concept, two particular cases are considered, and the velocity fields corres

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Ismayilov, Gafar, Fidan Ismayilova, and Gulnara Zeynalova. "DIAGNOSIS OF STEADY-STATE CHARACTERISTICS IN LAMINAR FLOW OF FLUIDS." Rudarsko-geološko-naftni zbornik 39, no. 3 (2024): 53–58. http://dx.doi.org/10.17794/rgn.2024.3.5.

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Laminar flow of fluids is one of the most common forms of motion in oilfield practice. In such a flow regime of fluid, the determination of velocity-flow rate performance which takes into account the rheological properties of the fluid is of great importance for the development of hydraulic criteria. On the other hand, from the moment of the beginning of fluid motion in the pipe, a certain time is required to ensure the steady flow of fluid, i.e. independence of its parameters on time. The issues of diagnosing steady-state characteristics in laminar flow of both Newtonian and non-Newtonian flu

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