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https://doi.org/10.1016/j.ijnonlinmec.2004.07.009

has been cited by the following article:

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

  AUTHORS: A. M. Siddiqui, A. Walait, T. Allison, T. Haroon

  KEYWORDS: Exact Solution, Two-Layer Flow, PTT Fluids

  JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.8 No.4, November 8, 2018

  ABSTRACT: This paper provides the exact solutions for the fully developed two layer pressure driven flows of incompressible Phan-Thien-Tanner fluids in a horizontal cylindrical pipe. Exact equations are formulated and solved for important kinematic properties, such as, velocity profiles, normal and shear stresses, total volume fluxes through a circular cross-section and average velocities. Graphical results are provided and discussed for the different flow parameters. A comparison of Upper Convected Maxwell (UCM), Linear Phan-Thien-Tanner (LPTT) and Exponential Phan-Thien-Tanner (EPTT) shows that UCM is a low viscosity fluid as compared to LPTT, and EPTT and LPTT is lighter than EPTT.