Analytical and Numerical Resolution of Viscoelastic Upper-Convected Maxwell Fluid in Couette Flow with Thermal Effects

The recent development of theoretical and experimental rheology, coupled with the increasing performance of computers, now allows us to have a different approach and to envisage numerical predictions on complex geometries. Unfortunately, with current differential models, simulations of viscoelastic fluids in complex geometries still run up against the limits of memory resources and prohibitive computational times. In this study, the commercial software Fluent used in combination with a calculation code developed in C<sup>++</sup>, via sub-programs defined by User Defined Functions and User Defined Scalars. The purpose of this study is to compare the results with the analytical solution; which makes it possible to validate the numerical results by using the code developed in C<sup>++</sup> and also, to give an assurance to use this code in the numerical simulation of several problems in UCM fluid, which does not exist on the data base of the Fluent software. The results obtained in this study, shows the effectiveness of the code developed in C<sup>++</sup>.