Disorder optimization in the mixed convective dynamics of nonlinear shear thinning materials with the significance of wavy surface amplitude and thermal resistance

A mixed convective driven wavy motion of the pseudo-plastic materials is very significant in different practical fields, like the production of paints and ketchup, etc. Blood flow through wavy vessels is another very practical aspect of this study. Energy conversion processes and effective resource use are one of the burning and hot topics when studying heat flow rate through materials. Main theme of this work is to optimize the heat energy conversion by introducing irreversible viscous dissipation and thermally radiative factors. In particular cases, the heat flow rate needs to be enhanced for low energy consumption. This is why, in such cases, the wavy surface flows are preferred by plane surfaces. The proposed problem is presented with highly non-linear mathematical equations. Some assumptions and variables address the mathematical equations in easily solvable forms. The findings are shown regarding the material's velocity, concentration, temperature, resistive forces, and heat-mass flow rates. A remarkable reduction in liquid velocity and enhancement in concentration and temperature is observed with the variation in amplitude of the wavy surface. The irreversible process is maximized due to the higher involvement of temperature ratio and thermal radiation factors, respectively. The ratio of infinite and zero shear rate viscosities reduced the concentration of the liquid. For method validation, a best-matched comparison is provided with literature.