Analysis of heat and mass transfer with MHD and chemical reaction effects on viscoelastic fluid over a stretching sheet

• Published in: Indian journal of physics Vol. 91; no. 10; pp. 1219 - 1227
• Main Authors: Mishra, S. R., Pattnaik, P. K., Bhatti, M. M., Abbas, T.
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.10.2017; Springer Nature B.V
• Subjects: Astrophysics and Astroparticles; Chemical reactions; Differential equations; Fluid mechanics; Heat flux; Heat transfer; Heat transmission; Magnetic fields; Magnetohydrodynamics; Mass transfer; Nonlinear equations; Original Paper; Physics; Physics and Astronomy; Stretching; Temperature profiles; Thermodynamics; Velocity distribution; Viscoelastic fluids; Viscoelasticity; 47.15.-x; Exact solutions; MHD; Kummer’s function; Stretching sheet; 47.10.ad; Viscoelastic liquid
• ISSN: 0973-1458; 0974-9845
• DOI: 10.1007/s12648-017-1022-2

This article addresses the mass and heat transfer analysis over an electrically conducting viscoelastic (Walters B ′) fluid over a stretching surface in presence of transverse magnetic field. The impact of chemical reaction, as well as non-uniform heat source, are also taken into account. Similarity transformations are employed to model the equations. The governing equations comprises of momentum, energy, and concentration which are modified to a set of non-linear differential equations and then solved by applying confluent hypergeometric function known as “ Kummer’s function ”. The exact solution for heat equation is obtained for two cases i.e. (1) Prescribed surface temperature, (2) Prescribed wall heat flux. Physical behavior of all the sundry parameters are against concentration, temperature, and velocity profile are presented through graphs. The inclusion of magnetic field is counterproductive in diminishing the velocity distribution whereas reverse effect is encountered for concentration and temperature profiles.