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

• 作者: A. M. Siddiqui A. Walait T. Allison T. Haroon
• 来源期刊: 流体动力学(英文)
• 学科: 数学
• 关键词: EXACT Solution Two-Layer FLOW PTT FLUIDS
• 年，卷（期）: 2018,（4）
• 页码范围: 378-391
• 页数: 14页
• 分类号: O1

摘要

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.