Numerical analysis of non-isothermal helical flow of Herschel-Bulkley fluids

In this article a numerical solution of non-isothermal helical flow for the thermodependent Herschel-Bulkley fluids has been presented. The consistenc y term (mu(o)) in comparison to other properties is more temperature depend ent; therefore an exponential function in the form of mu(o) = mu exp(-bT) i s considered. The governing equations are solved for two different physical situations; constant temperature walls and for a case of constant heat flu x using the implicit finite difference method. The results from numerical s olution are compared with results of first law of thermodynamics and a good agreement is noticed.