Change in internal energy of Carreau fluid flow along with Ohmic heating: A Von Karman application

This article examine the impact of internal energy change in steady, Carreau incompressible electrically conducting fluid flow due to a porous Von Karman problem under the effects of transverse magnetic field and Ohmic heating. The nonlinearities generated by the rheological fluid model declines the numerical convergence of outcome results, that is why infinite shear viscosity is assumed to be zero. The basic mathematical model (system of PDEs) is converted into nonlinear ODEs by applying Von Karman similarity transformations. Numerical solutions of the resultant equations are achieved by utilizing (fifth order Runge–Kutta–Fehlberg method) along with shooting technique. Detailed variations of radial and tangential components of the velocity as function of Ha number, power law index, Reynold number and We number have been computed for further analysis. Phenomena of heat and mass transfer depends on thermal-diffusion and diffusion-thermo aspects. So, Soret and Dufour effects are also added in this analysis. •Change in internal energy is discussed.•Carreau model is used as fluid.•Soret and Dufour effects are also taken.•Shooting method is used to calculate the solution of the problem.