Performance of second law in Carreau fluid flow by an inclined microchannel with radiative heated convective condition

This investigation addresses the novel characteristics of entropy production in the fully-developed heat transport of non-Newtonian Carreau fluid in an inclined microchannel. The physical effects of Roseland thermal radiation and viscous heating are included in the energy equation. The no-slip boundary condition for velocity and convective type heating boundary conditions for temperature are also accounted. Mathematical modeling included the non-Newtonian Carreau fluid model. The dimensionless two-point boundary value problem acquired from governing equations via dimensionless variables. The nonlinear system is tackled by using the Finite Element Method. A detailed discussion of the significance of effective parameters on Bejan number, entropy generation rate, temperature and velocity is presented through graphs. Our analysis established that the entropy generation is reduced at the left and right phase of the channel while the Bejan number is improved at both phases of the channel and is maximum at the center of channel by the incrementing values of Weissenberg number.