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Exact Solution for Pressure Driven Flow of Two Immiscible Phan-Thien-Tanner Fluids in a Pipe

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Document pages: 14 pages

Abstract: This paper provides the exact solutions for the fully developed two layerpressure driven flows of incompressible Phan-Thien-Tanner fluids in a horizontalcylindrical pipe. Exact equations are formulated and solved for importantkinematic properties, such as, velocity profiles, normal and shearstresses, total volume fluxes through a circular cross-section and average velocities.Graphical results are provided and discussed for the different flowparameters. A comparison of Upper Convected Maxwell (UCM), LinearPhan-Thien-Tanner (LPTT) and Exponential Phan-Thien-Tanner (EPTT)shows that UCM is a low viscosity fluid as compared to LPTT, and EPTT andLPTT is lighter than EPTT.

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