Unsteady Magnetohydrodynamics Slip Flow of Powell-Eyring Fluid with Microorganisms Over an Inclined Permeable Stretching Sheet

2021 ◽  
Vol 10 (1) ◽  
pp. 128-145
Author(s):  
Amala Olkha ◽  
Amit Dadheech
Keyword(s):  
Thermal Conductivity ◽  
Porous Media ◽  
Friction Coefficient ◽  
Stretching Sheet ◽  
Variable Viscosity ◽  
Slip Flow ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Linear Nature

The unsteady MHD flow of Powell-Eyring fluid with microorganisms due to permeable extending surface which is also inclined, embedded in porous media is acknwledged. We have considered variable fluid property such as variable viscosity, thermal conductivity. For this perspective relevant transformations are exercised to reduce the governing PDE’s corresponding to momentum energy, mass and microorganisms’ profiles to system of ODE’s which are of non-linear nature and are numerically evaluated by MATLAB algorithm using Runge-kutta technique. Tabular annotations including pictorial presentations are comprehensively used to analyse effects caused by physical parameters concerning velocity, energy, mass and microorganisms.The present analysis focuses the study of unsteady MHD slip flow of Powell-Eyring fluid with microorganisms over an inclined permeable stretching sheet with slip conditions which is not avalaible in open literature beforehand. Rising unsteady parameter (A) decreases skin friction coefficient and reverse impact is shown on local Sherwood, Nusselt, and motile microorganisms’ number.

scholarly journals MHD Flow and Heat Transfer over Vertical Stretching Sheet with Heat Sink or Source Effect

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 297 ◽  
Author(s):  
Ibrahim Alarifi ◽  
Ahmed Abokhalil ◽  
M. Osman ◽  
Liaquat Lund ◽  
Mossaad Ayed ◽  
...  
Keyword(s):  
Stretching Sheet ◽  
Hartmann Number ◽  
Velocity Ratio ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Normal System ◽  
Integration Algorithm ◽  
Nonlinear Normal ◽  
The Impact

A steady laminar flow over a vertical stretching sheet with the existence of viscous dissipation, heat source/sink, and magnetic fields has been numerically inspected through a shooting scheme based Runge—Kutta–Fehlberg-integration algorithm. The governing equation and boundary layer balance are expressed and then converted into a nonlinear normal system of differential equations using suitable transformations. The impact of the physical parameters on the dimensionless velocity, temperature, the local Nusselt, and skin friction coefficient are described. Results show good agreement with recent researches. Findings reveal that the Nusselt number at the sheet surface augments, since the Hartmann number, stretching velocity ratio A, and Hartmann number Ha increase. Nevertheless, it reduces with respect to the heat generation/absorption coefficient δ.

MHD flow and heat transfer in a non-Newtonian liquid film over an unsteady stretching sheet with variable fluid properties

2009 ◽  
Vol 87 (10) ◽  
pp. 1065-1071 ◽  
Author(s):  
Mostafa A.A. Mahmoud ◽  
Ahmed M. Megahed
Keyword(s):  
Heat Transfer ◽  
Liquid Film ◽  
Stretching Sheet ◽  
Variable Viscosity ◽  
Thin Liquid Film ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Local Skin ◽  
Unsteady Stretching Sheet ◽  
Flow And Heat Transfer

The present paper is concerned with the study of variable viscosity and variable thermal conductivity on the flow and heat transfer of an electrically conducting non-Newtonian power-law fluid within a thin liquid film over an unsteady stretching sheet in the presence of a transverse magnetic field. The transformed system of nonlinear ordinary differential equations describing the problem is solved numerically. The effects of various parameters on the velocity and temperature profiles are shown through graphs and discussed. The values of the local skin-friction coefficient and the local Nusselt number for different values of physical parameters are presented through tables.

scholarly journals Effect of radiation with temperature dependent viscosity and thermal conductivity on unsteady a stretching sheet through porous media

2010 ◽  
Vol 15 (3) ◽  
pp. 257-270 ◽  
Author(s):  
M. M. M. Abdou
Keyword(s):  
Thermal Conductivity ◽  
Boundary Layer ◽  
Porous Media ◽  
Stretching Sheet ◽  
Variable Viscosity ◽  
Darcy Number ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Boundary Layer Equations ◽  
Dependent Viscosity

A numerical model is developed to study the effect of thermal radiation on unsteady boundary layer flow with temperature dependent viscosity and thermal conductivity due to a stretching sheet in porous media. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing equations reduced to similarity boundary layer equations using suitable transformations and then solved using the Runge–Kutta numerical integration, procedure in conjunction with shooting technique. A parametric study illustrating the influence of the radiation R, variable viscosity ε, Darcy number Da, porous media inertia coefficient γ, thermal conductivity κ and unsteady A parameters on skin friction and Nusselt number.

scholarly journals Atangana-Baleanu and Caputo-Fabrizio Analysis of Fractional Derivatives on MHD Flow past a Moving Vertical Plate with Variable Viscosity and Thermal Conductivity in a Porous Medium

2021 ◽  
Vol 6 (2) ◽  
pp. 493-509
Author(s):  
Dipen Saikia ◽  
Utpal Kumar Saha ◽  
Gopal Chandra Hazarika
Keyword(s):  
Thermal Conductivity ◽  
Porous Medium ◽  
Concentration Distribution ◽  
Fractional Derivatives ◽  
Vertical Plate ◽  
Variable Viscosity ◽  
Mhd Flow ◽  
Iteration Scheme ◽  
Physical Parameters ◽  
Similarity Transformations

In this paper, a numerical investigation is presented for non-integer order derivatives with Atangana-Baleanu (AB) and Caputo-Fabrizio (CF) fractional derivatives for the variable viscosity and thermal conductivity over a moving vertical plate in a porous medium two dimensional free convection unsteady MHD flow. The effects of radiation have also been considered. The governing partial differential equations along with the boundary conditions are changed to ordinary form by similarity transformations. Hence physical parameters show up in the equations and interpretations on these parameters can be achieved suitably.By using ordinary finite difference scheme the equations are discritized and developed in fractional form. These discritized equations are numerically solved by the approach based on Gauss-seidel iteration scheme. Some numerical strategies are used to find the values of AB and CF approaches on time by developing programming code in MATLAB. The effects of all the physical parameters involved in the problem on velocity, temperature and concentration distribution are compared graphically as well as in tabular form. The effects of each parameter are found to be prominent. We have observed a significant variation of values under different parameters using AB and CF approaches on velocity, temperature and concentration distribution with respect to time.

scholarly journals Scaling group analysis on MHD effects on heat transfer near a stagnation point on a linearly stretching sheet with variable viscosity and thermal conductivity, viscous dissipation and heat source/sink

2015 ◽  
Vol 42 (2) ◽  
pp. 111-133 ◽  
Author(s):  
Hunegnaw Dessie ◽  
Kishan Naikoti
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Differential Equations ◽  
Heat Source ◽  
Stagnation Point ◽  
Viscous Dissipation ◽  
Stretching Sheet ◽  
Variable Viscosity ◽  
Physical Parameters ◽  
Source Sink

The effects of variable viscosity and thermal conductivity on MHD heat transfer flow of viscous incompressible electrically conducting fluid near stagnation point flow on non-conducting stretching sheet in presence of uniform transfer magnetic field with heat source/sink and viscous dissipation has been analyzed. The governing partial differential equations are transformed into ordinary differential equations using a special form of Lie group transformations and then solved using Fourth order Runge-Kutta Method. Effects of different physical parameters on the flow and heat transfer characteristics are analyzed. Variations of different parameters on skin fiction coefficient-f??(0) and temperature gradient ???(0) are presented in tabular form.

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