Simultaneous development of velocity and temperature profiles for laminar flow of a non‐Newtonian fluid in the entrance region of flat ducts

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Abstract
The momentum and energy integral method of von Karman and Pohlhausen is used to solve the entrance heat transfer problem for a non‐Newtonian fluid in a flat duct. The initial temperature and velocity profiles are assumed to be flat. The fluid is assumed to obey the Ostwald‐de Wael model and its physical properties are assumed to be constant. Dimensionless expressions for temperature and velocity profiles are obtained by numerical methods.The results of this investigation indicate that, similar to the case of Newtonian fluid, the parameters which influence entrance heat transfer are x/b ratio, Reynolds number and Prandtl number, provided these groups are properly defined.