Research Papers: Fundamental Issues and Canonical Flows

Quasi-Two-Dimensional Numerical Analysis of Fast Transient Flows Considering Non-Newtonian Effects

[+] Author and Article Information
Pedram Tazraei

Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77843-3120
e-mail: ptazraei@tamu.edu

Alireza Riasi

Department of Mechanical Engineering,
University of Tehran,
Tehran 11155-4563, Iran
e-mail: ariasi@ut.ac.ir

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received December 30, 2014; final manuscript received May 20, 2015; published online August 21, 2015. Assoc. Editor: Oleg Schilling.

J. Fluids Eng 138(1), 011203 (Aug 21, 2015) (8 pages) Paper No: FE-14-1798; doi: 10.1115/1.4031093 History: Received December 30, 2014

In this study, the difference between laminar fast transient flow of shear-thinning liquids and that of Newtonian liquids under similar conditions is numerically studied. Since the literature appears to lack fast transient flow investigation of non-Newtonian fluids, this work addresses features of those flows. In this way, the Newton–Kantorovich method is implemented to linearize nonlinear shear stress term available in the characteristic equations. The verification and validation of the solution are carried out in detail. The results show that the non-Newtonian behavior of fluids has significant influence on the velocity and shear stress profiles and also on the magnitude of pressure head and wall shear stress.

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Fig. 1

Grid system for numerical solution [21]

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Fig. 2

Effect of grid size on pressure oscillations at the pipe midpoint

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Fig. 3

Pressure–time history at the pipe midpoint

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Fig. 4

Experimental apparatus with copper pipeline

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Fig. 5

Pressure heads for laminar fast transient flow: (a) at the valve and (b) at the pipe midpoint

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Fig. 6

Axial velocity profiles at the pipe midpoint: (a) in steady-state and (b) at t = 0.6L/a

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Fig. 7

Shear stress profiles at the pipe midpoint: (a) at t = 0.6L/a and (b) in steady-state

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Fig. 8

Wall shear stress at the pipe midpoint

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Fig. 9

Pressure heads for laminar fast transient flow for different values of λ : (a) at the valve and (b) at the pipe midpoint

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Fig. 10

Axial velocity profiles at the pipe midpoint at t = 0.6L/a




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