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The Journal of Analysis

, Volume 27, Issue 1, pp 103–120 | Cite as

Unsteady MHD reactive flow of second grade fluid through porous medium in a rotating parallel plate channel

  • M. VeeraKrishnaEmail author
  • G. Subba Reddy
Original Research Paper
  • 27 Downloads

Abstract

We considered the transient MHD flow of a reactive second grade fluid through a porous medium between two infinitely long horizontal parallel plates where one of the plate is uniform accelerated motion in the presence of a uniform transverse magnetic field with Arrhenius reaction rate. The transient momentum equations are solved analytically using the Laplace transform technique. The velocity and temperature is presented in graphical form and discussed computationally. The shear stress and Nusselt number are also obtained analytically and computationally discussed. Our results divulge that the effects of magnetic field, rotation, exothermic reaction and variable thermal conductivity have significant impact on the hydromagnetic flow and heat transfer.

Keywords

Heat and mass transfer MHD flows Parallel plate Porous medium Reactive flow Second grade fluids 

List of symbols

(u, w)

The fluid velocity components

(x, z)

Co-ordinate system

q

The fluid density

\( \nu \)

The kinematics viscosity

\( \sigma \)

The electrical conductivity and

p

The fluid pressure

k

The thermal conductivity

Cp

The specific heat at constant pressure

T

The temperature of the fluid

Q

The heat of reaction

C0

The initial concentration of reacting species

A

The rate constant

R

The universal gas constant

M2

The magnetic field parameter (Hartmann number)

D

The Darcy parameter (permeability parameter)

K2

The rotation parameter

S

The second grade fluid parameter

Ec

The Eckert number

\( \lambda \)

The Frank-Kamenetskii parameter or reaction rate parameter

\( \varepsilon \)

The activation energy parameter

\( \delta \)

Thermal conductivity variation parameter and

\( \Pr \)

The Prandtl number

Mathematics Subject Classification

76A05 76E06 76N20 76V05 76W05 

Notes

Funding

The authors have not getting any funding from funding agencies.

Compliance with ethical standards

Research involving human participants and/or animals

My research is only mathematical modelling. No human participants or animals involving in this research.

Conflict of interest

The authors have not conflict of interest in this manuscript.

Ethical approval

The authors have got moral support from Dept of Mathematics, Rayalaseema University, Kurnool for doing this manuscript.

Informed consent

The authors have not taken any permission.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Department of MathematicsRayalaseema UniversityKurnoolIndia

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