EFFECTS OF VARIABLE VISCOSITY AND VISCOUS DISSIPATION ON THE FLOW OF A 3RD-GRADE FLUID IN A PIPE

The flow of a fluid-solid mixture is very complicated and may depend o n many variables, such as the physical properties of each phase and th e size and shape of the solid particles. One approach to the study of these flows is to model the mixture as a non-Newtonian fluid. Much eff ort has been put into analyzing various transport processes in non-New tonian fluids, such as coal slurries. Heat transfer plays an important role in the handling and processing of these fluids. In this paper, t he fully developed flow of an incompressible, thermodynamically compat ible fluid of grade three in a pipe is studied. The temperature of the pipe is assumed to be higher than the temperature of the fluid and th e shear viscosity of the fluid is assumed to be a function of the temp erature.