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Effects of chemical reactions on MHD micropolar fluid flow past a vertical plate in slip-flow regime

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Abstract

Heat and mass transfer effects on the unsteady flow of a micropolar fluid through a porous medium bounded by a semi-infinite vertical plate in a slip-flow regime are studied taking into account a homogeneous chemical reaction of the first order. A uniform magnetic field acts perpendicular to the porous surface absorb micropolar fluid with a suction velocity varying with time. The free stream velocity follows an exponentially increasing or decreasing small perturbation law. Using the approximate method, the expressions for the velocity microrotation, temperature, and concentration are obtained. Futher, the results of the skin friction coefficient, the couple stress coefficient, and the rate of heat and mass transfer at the wall are presented with various values of fluid properties and flow conditions.

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Abbreviations

B 0 :

magnetic flux density

C :

concentration

C f :

skin-friction coefficient

C m :

couple stress coefficient

C p :

specific heat at constant pressure

D :

chemical molecular diffusivity

g :

acceleration due to gravity

h :

refrection parameter

Grc :

modified Grashof number

Gr :

Grashof number

j :

microinertia per unit mass

k :

thermal conductivity

K :

permeability of the porous medium

K c :

chemical reaction parameter

M :

magnetic field parameter

m 1 :

Maxwell’s reflection coefficient

L :

mean free path

n :

parameter related to microgyration vector and shear stress

N :

model parameter

Nu :

Nusselt number

P :

pressure

Pr :

Prandtl number

Sc :

Schmidt number

Sh :

Sherwood number

t :

time

T :

temperature

u, υ :

components of velocities along and perpendicular to the plate

U 0 :

scale of free stream velocity

V 0 :

scale of suction velocity

x, y :

distances along and perpendicular to the plate, respectively

α :

fluid thermal diffusivity

β :

ratio of vortex viscosity and dynamic viscosity

β c :

coefficient of volumetric expansion with concentration

β f :

coefficient of volumetric expansion of the working fluid

γ :

spin gradient viscosity

δ :

scalar constant

ɛ :

scalar constant (≪ 1)

θ :

dimensionless temperature

Λ:

coefficient of vortex (microrotation) viscosity

µ:

fluid dynamic viscosity

ρ :

fluid density

σ :

electrical conductivity

ν :

fluid kinematic viscosity

ν r :

fluid kinematic rotational viscosity

ω :

angular velocity vector

w:

wall condition

∞:

free stream condition

( )′:

differentiation with respect to y

*:

dimensional properties

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Authors and Affiliations

  1. Department of Mathematics, University of Rajasthan, Jaipur, 302004, India

    R. C. Chaudhary & Abhay Kumar Jha

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  1. R. C. Chaudhary
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  2. Abhay Kumar Jha
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Correspondence to R. C. Chaudhary.

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Communicated by ZHOU Zhe-wei

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Chaudhary, R.C., Jha, A.K. Effects of chemical reactions on MHD micropolar fluid flow past a vertical plate in slip-flow regime. Appl. Math. Mech.-Engl. Ed. 29, 1179–1194 (2008). https://doi.org/10.1007/s10483-008-0907-x

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  • DOI: https://doi.org/10.1007/s10483-008-0907-x

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