Exact solution for the heat transfer of two immiscible PTT fluids flowing in concentric layers through a pipe

Abdul Majeed Siddiqui, Muhammad Zeb, Tahira Haroon, Qurat ul Ain Azim

Research output: Contribution to journalArticle

Abstract

This article investigates the heat transfer flow of two layers of Phan-Thien-Tanner (PTT) fluids though a cylindrical pipe. The flow is assumed to be steady, incompressible, and stable and the fluid layers do not mix with each other. The fluid flow and heat transfer equations are modeled using the linear PTT fluid model. Exact solutions for the velocity, flow rates, temperature profiles, and stress distributions are obtained. It has also been shown that one can recover the Newtonian fluid results from the obtained results by putting the non-Newtonian parameters to zero. These results match with the corresponding results for Newtonian fluids already present in the literature. Graphical analysis of the behavior of the fluid velocities, temperatures, and stresses is also presented at the end. It is also shown that maximum velocity occurs in the inner fluid layer.

Original languageEnglish (US)
Article number81
JournalMathematics
Volume7
Issue number1
DOIs
StatePublished - Jan 14 2019

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Concentric
Heat Transfer
Exact Solution
Fluid
Newtonian Fluid
Temperature Profile
Fluid Model
Stress Distribution
Flow Rate
Fluid Flow
Zero

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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abstract = "This article investigates the heat transfer flow of two layers of Phan-Thien-Tanner (PTT) fluids though a cylindrical pipe. The flow is assumed to be steady, incompressible, and stable and the fluid layers do not mix with each other. The fluid flow and heat transfer equations are modeled using the linear PTT fluid model. Exact solutions for the velocity, flow rates, temperature profiles, and stress distributions are obtained. It has also been shown that one can recover the Newtonian fluid results from the obtained results by putting the non-Newtonian parameters to zero. These results match with the corresponding results for Newtonian fluids already present in the literature. Graphical analysis of the behavior of the fluid velocities, temperatures, and stresses is also presented at the end. It is also shown that maximum velocity occurs in the inner fluid layer.",
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Exact solution for the heat transfer of two immiscible PTT fluids flowing in concentric layers through a pipe. / Siddiqui, Abdul Majeed; Zeb, Muhammad; Haroon, Tahira; Azim, Qurat ul Ain.

In: Mathematics, Vol. 7, No. 1, 81, 14.01.2019.

Research output: Contribution to journalArticle

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