Heat Transfer of Fractional Maxwell Fluid over a Moving Plate with Cattaneo-Christov Flux

A novel time fractional Cattaneo-Christov flux model is introduced in analyzing boundary layer heat transfer of Maxwell fluid over a moving plate. Formulated governing equations contain mixed partial derivatives and fractional parameters. Numerical solutions subject to the new initial condition with characteristic function are obtained by the linear treatment of nonlinear term and using L1-scheme. The effects of Prandtl number on the temporal and spatial evolutions of temperature fields are shown graphically and discussed. Results show that the thickness of temperature boundary layer is thinner while the growth of the distribution versus t is slower for a larger Pr.