Impact of Cattaneo-Christov heat flux on MHD nanofluid flow and heat transfer between parallel plates considering thermal radiation effect

In this work, the unsteady squeezing MHD nanofluid flow and heat transfer between two parallel plates in the attendance of thermal radiation impact and considering Cattaneo-Christov heat flux model instead of conventional Fourier's law of heat conduction are examined. A similarity transformation is used to transmute the governing momentum and energy equations into non-linear ordinary differential equations with the appropriate boundary conditions. The gained non-linear ordinary differential equations are solved by Duan-Rach Approach (DRA). This method allows us to find a solution without using numerical methods to evaluate the undetermined coefficients. This method modifies the standard Adomian Decomposition Method by evaluating the inverse operators at the boundary conditions directly. The impacts of diverse active parameters such as the magnetic parameter, the squeeze number, the volume fraction of nanofluid, the heat source parameter, the thermal relaxation parameter and the radiation parameter on the velocity and temperature profiles are examined. In addition, the value of the Nusselt number is calculated and presented through figures. The outcomes indicate that the temperature distribution is fewer in the case of Cattaneo-Christov heat flux model as compared to Fourier's law. Furthermore, Nusselt number is an incrementing function of heat source parameter, while it is a diminishing function of the thermal relaxation parameter. (C) 2017 Taiwan Institute of Chemical Engineers. Published by Elsevier B.V. All rights reserved.