Entropy generation analysis of liquid fluid past embedded open parallel microchannels within the surface

This paper presents an analysis of entropy generation of forced convection heat transfer of liquid fluid over the horizontal surface with embedded open parallel microchannels at constant heat flux boundary conditions. The governing partial differential equations subjected to slip flow boundary conditions are transformed into a set of ordinary differential equations using similarity variables. These ordinary differential equations are solved numerically by using a fourth order Runge-Kutta and shooting method. Entropy production related to open parallel embedded microchannels is considered. The rate of entropy generation is formulated by an integral of local entropy generation subjected to constant heat flux boundary condition. The rate of entropy generation is investigated and discussed in details for various values of slip coefficient. It is shown that the embedded open parallel microchannels within the surface can sufficiently reduce both friction and thermal irreversibilities of liquid fluid through slip-flow conditions.