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Chemical reaction effect on MHD viscoelastic fluid over a stretching sheet through porous medium

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Abstract

The heat and mass transfer effects in a boundary layer flow through porous medium of an electrically conducting viscoelastic fluid subject to transverse magnetic field in the presence of heat source/sink and chemical reaction have been analyzed. It has been considered the effects of radiation, viscous and Joule dissipations and internal heat generation/absorption. Closed form solutions for the boundary layer equations of viscoelastic, second-grade and Walters’ B′ fluid models are obtained. The method of solution involves similarity transformation. The transformed equations of thermal and mass transport are solved by applying Kummer’s function. The solutions of temperature field for both prescribed surface temperature as well as prescribed surface heat flux are obtained. It is important to remark that the interaction of magnetic field is found to be counterproductive in enhancing velocity and concentration distribution whereas the presence of chemical reaction as well as porous matrix with moderate values of magnetic parameter reduces the temperature and concentration fields at all points of flow domain.

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Abbreviations

\(\alpha\) :

Thermal diffusivity

k :

Thermal conductivity

R c :

Viscoelastic parameter

P r :

Prandtl number

S c :

Schmidt number

T :

Non-dimensional temperature

t :

Non-dimensional time

\(\rho\) :

Density of the fluid

\(\upsilon\) :

Kinematics coefficient of viscosity

\(\sigma\) :

Electrical conductivity

R :

Radiation parameter

E c :

Eckert number

C f :

Skin friction coefficient

k 0 :

Modulus of the viscoelastic fluid

m w :

Rate of mass flux

k 1 :

Mean absorption coefficient

K p :

Permeability parameter

M n :

Magnetic parameter

B 0 :

Magnetic field strength

Q :

Heat source/sink parameter

T′:

Temperature of the field

p :

Pressure

D :

Molecular diffusivity

q r :

Radiative heat flux

\(\sigma^{*}\) :

Stefan–Boltzmann constant

C p :

Specific heat

q w :

Wall heat flux

\(\tau_{w}\) :

Wall shear stress

\(T_{\infty }\) :

Temperature far from sheet

T w :

Wall temperature

K c :

Chemical reaction parameter

A, B, E 0, E 1 :

Constants

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Authors and Affiliations

  1. Department of Physics, Radhakrishna Institute of Technology and Engineering, Bhubaneswar, Odisha, India

    M. K. Nayak

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  1. M. K. Nayak
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Nayak, M.K. Chemical reaction effect on MHD viscoelastic fluid over a stretching sheet through porous medium. Meccanica 51, 1699–1711 (2016). https://doi.org/10.1007/s11012-015-0329-3

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