Title
Effect of Nonlinear Thermal Radiation and Variable Thermal Conductivity on Different Types of Non-Newtonian Fluids
Abstract
The motive behind current dissertation is to explore the heat and mass transfer analysis of incompressible laminar non-Newtonian uids ow across a stretching sheet with the inclusion of distinguished physical parameters appear during the numerical simulation of the problem. Initially the Reiner-Philippo fluid past a stretching sheet under the e ects like variable thermal conductivity and nonlinear thermal radiation is analyzed. To amplify the thermophysical properties of the fluids specially in the case of hyperbolic tangent fluid and Maxwell fluid, the idea of nano fluid is employed. Nanofluids along with variable thermal conductivity and nonlinear thermal radiation increase the heat transfer rate of the fluids. Magnetic field is applied normal to the fluid and induced magnetic eld is neglected by the assumption of small Reynold’s number. Furthermore, the impact of viscous dissipation, Ohmic dissipation, heat generation/absorption, velocity slip, temperature slip, gyrotactic microorganisms and homogeneous/heterogeneous reactions on non-Newtonian fluids are also scrutinized in detail. The governing nonlinear partial di erential equations (PDEs) along with boundary conditions are rst converted into the nonlinear ordinary di erential equations (ODEs) by utilizing the similarity variables, and then the resulting nonlinear ODEs have been tackled numerically using nonlinear shooting method and nite di erence method (Keller box). The numerical results are obtained with the utilization of MATLAB computational software. The physical quantities of interest such as skin friction co- ecient, heat transfer analysis (Nusselt) and mass transfer analysis (Sherwood number) for sundry parameters appear during numerical simulation are computed numerically and discussed in the form of tables and gures. A comparison with previously available literature in limiting cases is also performed in order to check the reliability of the code.