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Suction/Injection Effects on MHD Flow of a Non-Newtonian Power-Law Fluid Past a Continuously Moving Porous Flat Plate with Heat Flux and Viscous Dissipation

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Abstract

In the present work, we studied the problem of magneto-hydro dynamic flow and heat transfer to the non-Newtonian power-law fluid flow past a continuously moving porous permeability flat plate in the presence of radiation and suction/injection with heat flux by taking into consideration the viscous dissipation. The local similarity solution is used to transform the system of partial differential equations, describing the problem into a system of highly coupled nonlinear ordinary differential equations. The non linear ordinary differential equations are first linearized by using the Quasi-linearization technique and then solved numerically by an implicit finite difference scheme. The solution is found to be dependent on various governing parameter including magnetic field parameter M, power-law index n, suction/injection parameter \(f_{w}\), Prandtl number Pr, permeability Kp, Eckert number Ec and radiation parameter R. A systematical study is carried out to illustrate the effects of these major parameters on the velocity profiles, temperature profile, skin friction coefficient and the rate of heat transfer and the local Nusselt number.

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Abbreviations

\(\hbox {B}_{0}\) :

Magnetic field intensity

\(\hbox {C}_\mathrm{p}\) :

Specific heat at a constant pressure

\(\hbox {E}_\mathrm{c}\) :

Eckert number

f :

Non dimensionless stream function

\(f_\mathrm{w}\) :

Suction/injection parameter

K:

Permeability of porous medium

Kp:

Permeability parameter

k:

Thermal conductivity

M:

Magnetic field parameter

Nu:

Nusselt number

n:

Power law fluid index

\(\hbox {P}_\mathrm{r }\) :

Prandtl number

\(\hbox {q}_\mathrm{w}\) :

Heat flux

Re:

Reynolds number

T:

Temperature of the fluid

\(T_\infty \) :

Ambient temperature (\(T_\infty<\) T)

U:

Free stream velocity

\(\hbox {V}_{0}\mathrm{(x)}\) :

Suction velocity

u, v:

Velocity components along and perpendicular to the plate

x, y:

Coordinate axes along and perpendicular to the plate

\(\gamma \) :

Kinematic viscosity

\(\rho \) :

Density

\(\alpha \) :

Thermal diffusivity

\(\mu \) :

Magnetic permeability

\(\sigma \) :

Electrical conductivity

\(\eta \) :

Dimensionless similarity variable

\(\psi \) :

Stream function

\(\theta \) :

Dimensionless temperature

\(\tau _\mathrm{w}\) :

Shearing stress on the surface

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Authors and Affiliations

  1. Nalla Narashima Reddy Education Society’s Group of Institutions, Ghatkesar, RR, A.P., 88, India

    P. Kavitha

  2. Department of Mathematics, Osmania University, Hyderabad, A.P., 7, India

    Naikoti Kishan

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  1. P. Kavitha
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Kavitha, P., Kishan, N. Suction/Injection Effects on MHD Flow of a Non-Newtonian Power-Law Fluid Past a Continuously Moving Porous Flat Plate with Heat Flux and Viscous Dissipation. Int. J. Appl. Comput. Math 3, 2389–2408 (2017). https://doi.org/10.1007/s40819-016-0244-x

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