The paradox of heat conduction, influence of variable viscosity, and thermal conductivity on magnetized dissipative Casson fluid with stratification models

The boundary layer ow of temperature-dependent variable thermal conductivity and dynamic viscosity on ow, heat, and mass transfer of magnetized and dissipative Casson uid over a slenderized stretching sheet has been studied. The model explores the Cattaneo-Christov heat ux paradox instead of the Fourier’s law plus the stratications impact. The variable temperature-dependent plastic dynamic viscosity and thermal conductivity were assumed to vary as a linear function of temperature. The governing systems of equations in PDEs were transformed into non-linear ordinary dierential equations using the suitable similarity transformations, hence the approximate solutions were obtained using Chebyshev Spectral Collocation Method (CSCM). Effects of pertinent ow parameters on concentration, temperature, and velocity proles are presented graphically and tabled, therein, thermal relaxation and wall thickness parameters slow down the distribution of the owing uid. A rise in Casson parameter, temperature-dependent thermal conductivity, and velocity power index parameter increases the skin friction thus leading to a decrease in energy and mass gradient at the wall, also, temperature gradient attain maximum within 0.2 - 1.0 variation of Casson parameter.