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Inquisition of combined effects of radiation and MHD on elastico-viscous fluid flow past a pervious plate

  • Azad Hussain
  • Lubna Sarwar
  • Sohail Nadeem
  • Sobia Akbar
  • Sarmad Jamal
Technical Paper
  • 43 Downloads

Abstract

An analysis is performed to explore the effects of radiation and MHD on a steady-state flow of an incompressible fluid pertained to as elastico-viscous fluid model through a pervious plate. The continuity, energy and momentum equations are embellished to scrutinize nature of the fluid model. The partial differential equations after implementing similar transforms are converted into the flourished form of a system of coupled nonlinear ordinary differential equations. Then, resulting nonlinear ODE’s are solved by developing the appropriate numerical solution by employing shooting technique with Runge–Kutta method. Computational results for the flow quantities have been presented graphically for the effects of radiation, MHD, elastico-viscous and the permeability parameter. Nusselt number and skin friction are also deliberated through graphs and tables for different values of dimensionless parameters.

Keywords

Numerical solution Elastico-viscous fluid model Pervious plate Radiation effects Magnetohydrodynamics 

List of symbols

cp

Specific heat at constant pressure

k0

Short memory coefficient

η0

Restrictive viscosity

e

Rate of strain tensor

γ

Dimensionless number

N(τ)

Distribution function

R

Radiation parameter

E

Eckert number

B0

Applied magnetic field

K*

Frequency of radiation

σ

Electrical conductivity

cf

Skin friction coefficient

v, w

Velocity components along z direction

V∞

Free stream velocity

qr

Radiative term

q

Heat flux vector

f

Body force

P

Pressure

λ

Viscosity ratio

ρ

Density

θ

Temperature

θb

Bulk temperature

qw

Wall heat flux

Nu

Nusselt number

M

Magnetic number

Pr

Prandtl number

τ

Relaxation time

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • Azad Hussain
    • 1
  • Lubna Sarwar
    • 1
  • Sohail Nadeem
    • 2
  • Sobia Akbar
    • 1
  • Sarmad Jamal
    • 1
  1. 1.Department of MathematicsUniversity of GujratGujratPakistan
  2. 2.Department of MathematicsQuaid-I-Azam UniversityIslamabadPakistan

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