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.