Abstract
This letter investigates the MHD three-dimensional flow of upper-convected Maxwell (UCM) fluid over a bi-directional stretching surface by considering the Cattaneo-Christov heat flux model. This model has tendency to capture the characteristics of thermal relaxation time. The governing partial differential equations even after employing the boundary layer approximations are non linear. Accurate analytic solutions for velocity and temperature distributions are computed through well-known homotopy analysis method (HAM). It is noticed that velocity decreases and temperature rises when stronger magnetic field strength is accounted. Penetration depth of temperature is a decreasing function of thermal relaxation time. The analysis for classical Fourier heat conduction law can be obtained as a special case of the present work. To our knowledge, the Cattaneo-Christov heat flux model law for three-dimensional viscoelastic flow problem is just introduced here.
Highlights
The phenomenon of heat transfer has widespread industrial and biomedical applications such as cooling of electronic devices, nuclear reactor cooling, power generation, heat conduction in tissues and many others
Cattaneo [2] modified this law through the inclusion of thermal relaxation time which is defined as the time required establishing heat conduction once the temperature gradient is imposed
Consider the flow of upper-convected Maxwell fluid induced by an elastic sheet stretching in two lateral directions
Summary
OPEN ACCESS Citation: Rubab K, Mustafa M (2016) CattaneoChristov Heat Flux Model for MHD ThreeDimensional Flow of Maxwell Fluid over a Stretching Sheet. This letter investigates the MHD three-dimensional flow of upper-convected Maxwell (UCM) fluid over a bi-directional stretching surface by considering the Cattaneo-Christov heat flux model. This model has tendency to capture the characteristics of thermal relaxation time. It is noticed that velocity decreases and temperature rises when stronger magnetic field strength is accounted. Penetration depth of temperature is a decreasing function of thermal relaxation time. The Cattaneo-Christov heat flux model law for three-dimensional viscoelastic flow problem is just introduced here.
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