PERTURBATION ANALYSIS FOR ELASTICO-VISCOUS FLUID IN A VERTICAL POROUS WALL WITH INDUCED MAGNETIC FIELD, VISCOUS DISSIPATION, CHEMICAL REACTION, AND SORET EFFECT

2019 ◽  
Vol 17 (1) ◽  
pp. 243-263
Author(s):  
Utpal Jyoti Das
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Perturbation Analysis ◽  
Soret Effect ◽  
Porous Wall ◽  
Induced Magnetic Field

MHD STAGNATION POINT FLOW OF HYPERBOLIC TANGENT FLUID WITH VISCOUS DISSIPATION AND CHEMICAL REACTION

2021 ◽  
Vol 21 (2) ◽  
pp. 569-588
Author(s):  
KINZA ARSHAD ◽  
MUHAMMAD ASHRAF
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Stagnation Point ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Normal Velocity ◽  
Hyperbolic Tangent ◽  
Linear Ordinary Differential Equations ◽  
Non Linear

In the present work, two dimensional flow of a hyperbolic tangent fluid with chemical reaction and viscous dissipation near a stagnation point is discussed numerically. The analysis is performed in the presence of magnetic field. The governing partial differential equations are converted into non-linear ordinary differential equations by using appropriate transformation. The resulting higher order non-linear ordinary differential equations are discretized by finite difference method and then solved by SOR (Successive over Relaxation parameter) method. The impact of the relevant parameters is scrutinized by plotting graphs and discussed in details. The main conclusion is that the large value of magnetic field parameter and wiessenberg numbers decrease the streamwise and normal velocity while increase the temperature distribution. Also higher value of the Eckert number Ec results in increases in temperature profile.

scholarly journals Unsteady Motion of Viscous Electrically Conductive Fluid Rotating in Half-Space Bounded by a Wall in the Presence of Medium Injection (Suction)

2020 ◽  
pp. 107-118
Author(s):  
A.A. Gurchenkov
Keyword(s):  
Magnetic Field ◽  
Wall Motion ◽  
Porous Plate ◽  
Fluid Pressure ◽  
Porous Wall ◽  
Unsteady Motion ◽  
Induced Magnetic Field ◽  
Electrically Conductive ◽  
Conductive Fluid ◽  
Longitudinal Wall

The study is devoted to studying motion of a viscous electrically conductive incompressible fluid, which initially rotates as a solid body with constant angular velocity together with a porous wall bounding it under the influence of suddenly appearing longitudinal oscillations of the wall. The wall forms an arbitrary angle with the axis of rotation. Unsteady flow is induced by longitudinal wall oscillations, injection (suction) of the medium directed perpendicular to the porous plate surface and by suddenly activated constant magnetic field directed on the normal to the plate. Solutions were constructed for velocity fields and fluid pressure. Induced magnetic field in the flow of electrically conductive fluid was determined. A number of particular cases of the wall motion were considered. Based on the results obtained, separate structures of the boundary layers adjacent to the wall were examined.

Thermo-diffusion impacts on the flow of an elastico-viscous fluid over an inclined heated plane with magnetized wall

2021 ◽  
pp. 095440892110692
Author(s):  
Jitendra Kumar Singh ◽  
Gauri Shenker Seth
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Fluid Velocity ◽  
Surface Current ◽  
Induced Magnetic Field ◽  
Regular Perturbation ◽  
Surface Current Density ◽  
Magnetic Diffusion ◽  
Mass Fluxes ◽  
Flow Surface

The focus is in this article is to scrutinize the simultaneous significances of magnetic diffusion, thermo-diffusion and angular location on the hydromagnetic flow of an elastico-viscous fluid over an inclined heated plane with magnetized wall. The flow medium is considered to be uniformly permeable (Darcy-Brinkman porous medium) and the flow of the fluid is considerably affected due to the appearance of a strong magnetic field in the direction normal to the flow surface. The significances of Hall current, induced magnetic field and Coriolis force on flow nature is also included in the study. The leading non-dimensionalized equations are explored by regular perturbation analysis. Ultimately, the expressions for velocity field, induced magnetic field, temperature and concentration are obtained. We further derived the surface skin friction, surface current density, heat and mass fluxes. The computation of results is performed with the aid of Mathematica software and results are presented in graphical and tabular forms for distinct flow impacting parameters. Numerical simulation explores that mass diffusion factor brings growth in the fluid velocity, temperature and normal induced magnetic field while it reduces the main induced magnetic field. Magnetic diffusion develops the primary flow and primary induced magnetic field and lessens the normal flow and normal induced magnetic field. Inclination angle of the heated plane upgrades primary induced magnetic field while downgrading normal induced magnetic field.

scholarly journals Induced magnetic field and viscous dissipation on flows of two immiscible fluids in a rectangular channel

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Nehad Ali Shah ◽  
Hussam Alrabaiah ◽  
Dumitru Vieru ◽  
Se-Jin Yook
Keyword(s):  
Magnetic Field ◽  
Viscous Dissipation ◽  
Fluid Velocity ◽  
Rectangular Channel ◽  
Immiscible Fluids ◽  
Temperature Fields ◽  
Induced Magnetic Field ◽  
Transform Method ◽  
Approximate Analytical Solutions ◽  
The Laplace Transform

AbstractThe unsteady, magneto-hydrodynamic generalized Couette flows of two immiscible fluids in a rectangular channel with isothermal walls under the influence of an inclined magnetic field and an axial electric field have been investigated. Both fluids are considered electrically conducting and the solid boundaries are electrically insulated. Approximate analytical solutions for the velocity, induced magnetic, and temperature fields have been determined using the Laplace transform method along with the numerical Stehfest's algorithm for the inversion of the Laplace transforms. Also, for the nonlinear differential equation of energy, a numerical scheme based on the finite differences has been developed. A particular case has been numerically and graphically studied to show the evolution of the fluid velocity, induced magnetic field, and viscous dissipation in both flow regions.

scholarly journals Numerical study on combined thermal radiation and magnetic field effects on entropy generation in unsteady fluid flow past an inclined cylinder

2020 ◽  
Author(s):  
Zachariah Mbugua Mburu ◽  
Sabyasachi Mondal ◽  
Precious Sibanda
Keyword(s):  
Magnetic Field ◽  
Fluid Flow ◽  
Thermal Radiation ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Entropy Generation ◽  
Magnetic Field Effects ◽  
Slip Conditions ◽  
Field Effects ◽  
Flow Past

Abstract This study reports on combined thermal radiation, chemical reaction, and magnetic field effects on entropy generation in an unsteady nanofluid flow past an inclined cylinder using the Buongiorno model. We consider the impact of viscous dissipation, velocity slip conditions, thermal slip conditions, and the Brownian motion. The transport equations governing the flow are solved using an overlapping grid spectral collocation method. The results indicate that entropy generation is suppressed significantly by thermal radiation and chemical reaction parameters but enhanced with the magnetic field, viscous dissipation, the Brinkman number, and the Reynolds number. Also, fluid flow variables are affected by the thermophoresis parameter, the angle of cylinder inclination, and the Richardson number. We present the findings of the skin friction coefficient, the Nusselt number, and the Sherwood number. The model is applicable in fields such as the petroleum industry, building industries, and medicine.

scholarly journals Dufour and Soret Effect on Viscous Fluid Flow between Squeezing Plates under the Influence of Variable Magnetic Field

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2404
Author(s):  
Muhammad Kamran Alam ◽  
Khadija Bibi ◽  
Aamir Khan ◽  
Samad Noeiaghdam
Keyword(s):  
Magnetic Field ◽  
Temperature Distribution ◽  
Differential Equations ◽  
Viscous Fluid ◽  
Direct Effect ◽  
Soret Effect ◽  
Reynold Number ◽  
Variable Magnetic Field ◽  
Squeeze Flow ◽  
Fluid Temperature

The aim of this article is to investigate the effect of mass and heat transfer on unsteady squeeze flow of viscous fluid under the influence of variable magnetic field. The flow is observed in a rotating channel. The unsteady equations of mass and momentum conservation are coupled with the variable magnetic field and energy equations. By using some appropriate similarity transformations, the partial differential equations obtained are then converted into a system of ordinary differential equations and are solved by Homotopy Analysis Method (HAM). The influence of the natural parameters are investigated for the velocity field components, magnetic field components, heat and mass transfer. A direct effect of the squeeze Reynold number is observed on both concentration and temperature. Moreover, increasing the magnetic Reynold number shows an increase in the fluid temperature, but in the case of concentration, an inverse relation is observed. Furthermore, a decreasing effect of the Dufour number is observed on both concentration and temperature distribution. Besides, in case of the Soret number, a direct effect is observed on concentration, but an inverse effect can be seen on temperature distribution. Different effects are shown through graphs in this study and an error analysis is also presented through tables and graphs.

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