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

  • Azad HussainEmail author
  • Lubna Sarwar
  • Sohail Nadeem
  • Sobia Akbar
  • Sarmad Jamal
Technical Paper


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.


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

List of symbols


Specific heat at constant pressure


Short memory coefficient


Restrictive viscosity


Rate of strain tensor


Dimensionless number


Distribution function


Radiation parameter


Eckert number


Applied magnetic field


Frequency of radiation


Electrical conductivity


Skin friction coefficient

v, w

Velocity components along z direction


Free stream velocity


Radiative term


Heat flux vector


Body force




Viscosity ratio






Bulk temperature


Wall heat flux


Nusselt number


Magnetic number


Prandtl number


Relaxation time


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • Azad Hussain
    • 1
    Email author
  • 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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