Entropy generation analysis of Carreau fluid with entire new concepts of modified Darcy's law and variable characteristics

Abstract Characteristics of nonlinear partial slip in flow of Carreau fluid through porous space is studied. Flow in porous space is characterized by modified Darcy's law. Variable characteristics in modeling are accounted. Entropy generation rate is modelled employing second law of thermodynamics. Heat transfer is analyzed with viscous dissipation. Relevant equations are presented by boundary layer theory. The resulting problems are nonlinear not in terms of equations but also through boundary conditions. Dimensionless equations are obtained through adequate transformations. Velocities, temperature and entropy generation rate are discussed graphically. Numerical computations are obtained for skin friction coefficients and local Nusselt number. Physical interpretation for influential variables is arranged.