Combined impacts of heat source/sink, radiative heat flux, temperature dependent thermal conductivity on forced convective Rabinowitsch fluid

The current study deals with the properties of thermal radiation, heat generation and the effect of convective boundary conditions through a duct with the Rabinowitsch fluid. The thermal conductivity is also taken as a function of temperature. The exact solution of velocity distribution is presented with the help of symbolic software Maple. Due to existence of thermal radiation, heat generation and variable thermal conductivity, the exact solution of energy Equations is not possible. For this, we have evaluated the numerical solution of the energy Equation with the help of numerical scheme. The effects of physical parameters on temperature and velocity profiles are presented in term of graphs. The temperature profile is minimum for the case of Dilatant fluid and maximum for Pseudoplastic fluid. Thermal radiation and convective boundary parameters suppressed the temperature inside the tube. While, the thermal conductivity and heat generation parameters are enhancing the heat transfer rate through a tube. The variation of heat transfer rate against the physical parameters are listed in tabular form. The magnitude of the heat transfer is maximum and minimum for Dilatant and pseudoplastic fluids for all physical parameters. The solution is also benchmarked with the previous published data available in the literature.