An analysis of the one-dimensional heat-transfer flow of a third-grade fluid in a circular pipe

Abstract

We investigate the one-dimensional heat-transfer flow of a third-grade fluid in a circular pipe. The thermophysical properties of the fluid are assmed to be independent of the temperature and the governing nonlinear boundary value problem is solved using the power series method. Analytical expressions for the fluid velocity and the fluid temperature are derived and the behavior of these expressions for various values of the relevant physical parameters is illustrated graphically. Variation of the skin friction with these parameters is also reported. It is shown that the fluid velocity, the fluid temperature and the the skin friction all increase with increasing values of the governing parameters.