Abstract
This article analyzes the Joule heating effect on the viscous fluid flow over a porous sheet stretching exponentially by employing convective boundary condition. The numerical solutions to the governing equations are obtained using a local similarity and non-similarity approach together with a successive linearization procedure and a Chebyshev collocation method. The influence of the slip parameter, suction/injection parameter, magnetic parameter, Joule heating parameter and Biot number on the velocity, temperature, concentration, skin friction, rate of heat transfer and rate of mass transfer is displayed in graphs. The velocity is found to decay for higher estimation of magnetic parameter, while a thermal field is enhanced for higher Joule heating and Biot number. It is also observed from the investigation that the rate of heat transfer reduces with Joule heating and enhances with increasing Biot number.
Highlights
The investigation of flow over an exponentially stretching sheet is of considerable interest because of its applications in industrial and technological processes, such as fluid film condensation process, aerodynamic extrusion of plastic sheets, crystal growth, cooling process of metallic sheets, design of chemical processing equipment and various heat exchangers, and glass and polymer industries.After the pioneering work of Sakiadis [1, 2], several researchers investigated the flow due to stretching sheet
Velocity is diminishing as the values of velocity slip parameter, magnetic parameter and suction parameter are increasing, while it is decreasing with increase in fluid injection at the stretching surface
The skin friction coefficient is rising with an enhancement in velocity slip parameter λ and decreasing with an enhancement in the values of suction/injection parameter S and magnetic parameter Ha
Summary
The investigation of flow over an exponentially stretching sheet is of considerable interest because of its applications in industrial and technological processes, such as fluid film condensation process, aerodynamic extrusion of plastic sheets, crystal growth, cooling process of metallic sheets, design of chemical processing equipment and various heat exchangers, and glass and polymer industries. After the pioneering work of Sakiadis [1, 2], several researchers investigated the flow due to stretching sheet. Abbas et al [3] numerically investigated the influence of a Deborah number on the flow of Maxwell fluid over a sheet moving exponentially. Several metallurgical processes involve the cooling of continuous strips or filaments such as strengthening and tinning of copper wires, which are sometimes stretched during the process. The proportion of cooling of these strips can be controlled by exposing them to
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