Abstract
The momentum and thermal boundary layer flow problem for shear thinning fluid with modified viscosity model over moving wedge is discussed. The mathematical model of the problem is developed by using improved Carreau model relates viscosity to shear rate and using the thermal conductivity model in the similar form of viscosity expression. The improved Carreau model contains five-parameters: zero viscosity, high shear rate viscosity, flow behavior index, consistency index and viscosity curvature which cover almost all aspects of the fluid's rheology. On the governing equations of the problem, boundary layer approximations are used and then reduced into ordinary differential equations by using similarity transformations. The results in form of velocity and temperature profiles, thickness of boundary layers regions, deflation in volume and momentum flow rates under the influence of all the parameters are calculated and displayed in graphs and tables for discussion. The effects of zero viscosity on different profiles are dominant as compared to high shear rate viscosity. The velocity is decreased but temperature profile is increased by the parameters that are involved to increase to viscosity. (c) 2020 Elsevier B.V. All rights reserved.