M. Massoudi et I. Christie, EFFECTS OF VARIABLE VISCOSITY AND VISCOUS DISSIPATION ON THE FLOW OF A 3RD-GRADE FLUID IN A PIPE, International journal of non-linear mechanics, 30(5), 1995, pp. 687-699
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.