Abstract
This article focuses on the exact solution regarding convective heat transfer of a magnetohydrodynamic (MHD) Jeffrey fluid over a stretching sheet. The effects of joule and viscous dissipation, internal heat source/sink and thermal radiation on the heat transfer characteristics are taken in account in the presence of a transverse magnetic field for two types of boundary heating process namely prescribed power law surface temperature (PST) and prescribed heat flux (PHF). Similarity transformations are used to reduce the governing non-linear momentum and thermal boundary layer equations into a set of ordinary differential equations. The exact solutions of the reduced ordinary differential equations are developed in the form of confluent hypergeometric function. The influence of the pertinent parameters on the temperature profile is examined. In addition the results for the wall temperature gradient are also discussed in detail.
Highlights
It is well known that investigation regarding boundary layer flows over continuous stretching surfaces finds numerous important applications occurring in many engineering process
The effects of joule and viscous dissipation, internal heat source/sink and thermal radiation on the heat transfer characteristics are taken in account in the presence of a transverse magnetic field for two types of boundary heating process namely prescribed power law surface temperature (PST) and prescribed heat flux (PHF)
The highly non-linear governing partial differential equations are reduced into a set of non-linear ordinary differential equations by applying suitable similarity transformations and their analytic solutions are obtained in the form of confluent hypergeometric function
Summary
It is well known that investigation regarding boundary layer flows over continuous stretching surfaces finds numerous important applications occurring in many engineering process. Hayat et al.[14] studied the radiative flow of Jeffrey fluid in a porous medium with power law heat flux and heat source. Singh[16] studied the magneto convection flow of viscoelastic fluid over stretching sheet with heat source and radiation effects. Many other researchers have studied the flow and heat transfer of fluids by taking the radiation heat source/sink effects.[17,18,19,20,21]. Motivated by above studies we intend to investigate the flow and heat transfer of an MHD Jeffrey fluid over a stretching sheet subject to power law temperature in the heat source/ sink with radiation. The effects of non-dimensional parameters, magnetic number, Eckert number, radiation parameter, heat source/sink parameter and Deborah number on the temperature profile are explored graphically and discussed in details
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