SORET AND DUFOUR EFFECTS ON UNSTEADY MHD FREE CONVECTIVE FLOW OF MICROPOLAR FLUID WITH OSCILLATORY PLATE VELOCITY CONSIDERING VISCOUS DISSIPATION EFFECTS

2017 ◽  
Vol 79 (4) ◽  
Author(s):  
Shamshuddin M. D. ◽  
Thirupathi Thumma
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Viscous Dissipation ◽  
Micropolar Fluid ◽  
Partial Differential ◽  
Soret And Dufour Effects ◽  
Translation Velocity ◽  
Case Comparison ◽  
Dimensional Boundary ◽  
Free Convection Heat

The present paper deals with the study of micropolar fluid flow of an unsteady incompressible free convection heat and mass transfer flow past a semi-infinite vertical plate fixed firmly in porous medium with the influence of heat absorption, viscous dissipation, Soret, Dufour and chemical reaction has been analyzed. The governing partial differential equations are transformed into a set of coupled partial differential equations using suitable dimensionless quantities. The resulting non-dimensional boundary value problem is solved by the Galerkin finite element method. The effects of different pertinent parameters on translation velocity, microrotation, temperature and concentration distributions along boundary layer have been represented with the help of graphs. Under special case, comparison of the Skin friction, Wall couple stress, Nusselt number and Sherwood number are made with the Numerical results available from the literature obtained through analytical approach and found to be in good agreement.  

scholarly journals Radiation Effect on MHD Blood Flow Through a Tapered Porous Stenosed Artery with Thermal and Mass Diffusion

2019 ◽  
Vol 24 (2) ◽  
pp. 411-423
Author(s):  
M. Sharma ◽  
R.K. Gaur ◽  
B.K. Sharma
Keyword(s):  
Blood Flow ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Soret And Dufour Effects ◽  
Linear Partial Differential Equations ◽  
Flow And Heat Transfer ◽  
Stenosed Artery ◽  
Flow Through ◽  
Explicit Finite Difference

Abstract A mathematical model for MHD blood flow through a stenosed artery with Soret and Dufour effects in the presence of thermal radiation has been studied. A uniform magnetic field is applied perpendicular to the porous surface. The governing non-linear partial differential equations have been transformed into linear partial differential equations, which are solved numerically by applying the explicit finite difference method. The numerical results are presented graphically in the form of velocity, temperature and concentration profiles. The effects of various parameters such as the Reynolds number, Hartmann number, radiation parameter, Schmidt number and Prandtl number, Soret and Dufour parameter on the velocity, temperature and concentration have been examined with the help of graphs. The present results have an important bearing on the therapeutic procedure of hyperthermia, particularly in understanding/regulating blood flow and heat transfer in capillaries.

scholarly journals Ohmic and Viscous Dissipation Effect on Free and Forced Convective Flow of Casson Fluid in a Channel

2021 ◽  
Vol 12 (1) ◽  
pp. 132-148
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Viscous Dissipation ◽  
Convective Flow ◽  
Casson Fluid ◽  
Pictorial Representation ◽  
Physical Parameters ◽  
Partial Differential ◽  
Buoyancy Parameter ◽  
Forced Convective Flow

Analytical study of the free and forced convective flow of Casson fluid in the existence of viscous dissipation, ohmic effect and uniform magnetic field in a porous channel to the physical model. The nonlinear coupled partial differential equations are converted to linear partial differential equations using similarity transformation and the classical perturbation method. The physical parameters such as Prandtl number (Pr), viscous dissipation (Vi), Schmidt number (Sc), Reynolds number (R), thermal buoyancy parameter (λ), Ohmic number (Oh), Casson fluid parameter (β), Darcy number (Da), Hartmann number (M2), the concentration of buoyancy parameter (N), chemical reaction rate (γ) effect on velocity, temperature and concentration have been studied with pictorial representation. For the particular case, the present paper analysis is compared with the previous work and is found good agreement.

Lie Group Analysis for a Mixed Convective Flow and Heat Mass Transfer Over a Permeable Stretching Surface with Soret and Dufour Effects

2013 ◽  
Vol 30 (1) ◽  
pp. 67-75 ◽  
Author(s):  
Reda G. Abdel-Rahman ◽  
Ahmed M. Megahed
Keyword(s):  
Mass Transfer ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Lie Group ◽  
Group Analysis ◽  
Group Method ◽  
Stretching Surface ◽  
Partial Differential ◽  
Soret And Dufour Effects

ABSTRACTThe Lie group transformation method is applied for solving the problem of mixed convection flow with mass transfer over a permeable stretching surface with Soret and Dufour effects. The application of Lie group method reduces the number of independent variables by one and consequently the system of governing partial differential equations reduces to a system of ordinary differential equations with appropriate boundary conditions. Further, the reduced non-linear ordinary differential equations are solved numerically by using the shooting method. The effects of various parameters governing the flow and heat transfer are shown through graphs and discussed. Our aim is to detect new similarity variables which transform our system of partial differential equations to a system of ordinary differential equations. In this work a special attention is given to investigate the effect of the Soret and Dufour numbers on the velocity, temperature and concentration fields above the sheet.

scholarly journals Role of Slip Velocity in a Magneto-Micropolar Fluid Flow from a Radiative Surface with Variable Permeability: A Numerical Study

2017 ◽  
Vol 22 (3) ◽  
pp. 637-651
Author(s):  
B.K. Sharma ◽  
V. Tailor ◽  
M. Goyal
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Micropolar Fluid ◽  
Numerical Study ◽  
Slip Flow ◽  
Skin Friction Coefficient ◽  
Convection Flow ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Variable Permeability

AbstractAn analysis is presented to describe the hydromagnetic mixed convection flow of an electrically conducting micropolar fluid past a vertical plate through a porous medium with radiation and slip flow regime. A uniform magnetic field has been considered in the study which absorbs the micropolar fluid with a varying suction velocity and acts perpendicular to the porous surface of the above plate. The governing non-linear partial differential equations have been transformed into linear partial differential equations, which are solved numerically by applying the explicit finite difference method. The numerical results are presented graphically in the form of velocity, micro-rotation, concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters.

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