A Numerical Solution for the Turbulent Flow of Non-Newtonian Fluids in the Entrance Region of a Heated Circular Tube

Prapat Wangskarn; Bahman Ghorashi; Rama Subba Reddy Gorla; Rama S.R. Gorla

doi:10.1016/0142-727X(90)90022-4

A Numerical Solution for the Turbulent Flow of Non-Newtonian Fluids in the Entrance Region of a Heated Circular Tube

Prapat Wangskarn
, Bahman Ghorashi
, Rama Subba Reddy Gorla
, Rama S.R. Gorla

Cleveland State University

Research output: Contribution to journal › Article › peer-review

Abstract

Numerical solutions of conservation equations are obtained for turbulent flow of non - Newtonian fluids in a circular tube . The forward marching procedure of Patankar and Spalding^1 was implemented in order to obtain the simultaneous development of the velocity and temperature fields by using the apparent viscosity of fluids . Prandtl's mixing length concept is used to determine the apparent turbulent shearing stress. Furthermore, local and average Nusselt numbers are obtained in the entrance region , as well as in the fully developed region . For the case of the fully developed region , values of the Nusselt numbers are compared both with the experimental data and empirical correlations.

Original language	American English
Journal	International Journal of Heat and Fluid Flow
Volume	11
DOIs	https://doi.org/10.1016/0142-727X(90)90022-4
State	Published - Mar 1 1990

Keywords

Non-Newtonian fluids
Power-law fluids
Entrance region
Developing region

Disciplines

Complex Fluids
Transport Phenomena

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10.1016/0142-727X(90)90022-4License: CC BY

A Numerical Solution for the Turbulent Flow of Non-Newtonian FluiFinal published version, 1.29 MBLicense: CC BY
A Numerical Solution for the Turbulent Flow of Non-Newtonian FluiFinal published version, 1.29 MBLicense: CC BY

Cite this

@article{f56e0d686b7a49a6a475d8a4eec840f0,

title = "A Numerical Solution for the Turbulent Flow of Non-Newtonian Fluids in the Entrance Region of a Heated Circular Tube",

abstract = " Numerical solutions of conservation equations are obtained for turbulent flow of non - Newtonian fluids in a circular tube . The forward marching procedure of Patankar and Spalding\textasciicircum{}1 was implemented in order to obtain the simultaneous development of the velocity and temperature fields by using the apparent viscosity of fluids . Prandtl's mixing length concept is used to determine the apparent turbulent shearing stress. Furthermore, local and average Nusselt numbers are obtained in the entrance region , as well as in the fully developed region . For the case of the fully developed region , values of the Nusselt numbers are compared both with the experimental data and empirical correlations.",

keywords = "Non-Newtonian fluids, Power-law fluids, Entrance region, Developing region",

author = "Prapat Wangskarn and Bahman Ghorashi and Gorla, \{Rama Subba Reddy\} and Gorla, \{Rama S.R.\}",

note = "Wangskarn, P., Ghorashi, B., , \& Gorla, R. (1990). A numerical solution for the turbulent flow of non-Newtonian fluids in the entrance region of a heated circular tube. International Journal of Heat and Fluid Flow, 11(1), 40-43. doi:10.1016/0142-727X(90)90022-4",

year = "1990",

month = mar,

day = "1",

doi = "10.1016/0142-727X(90)90022-4",

language = "American English",

volume = "11",

journal = "International Journal of Heat and Fluid Flow",

}

TY - JOUR

T1 - A Numerical Solution for the Turbulent Flow of Non-Newtonian Fluids in the Entrance Region of a Heated Circular Tube

AU - Wangskarn, Prapat

AU - Ghorashi, Bahman

AU - Gorla, Rama Subba Reddy

AU - Gorla, Rama S.R.

N1 - Wangskarn, P., Ghorashi, B., , & Gorla, R. (1990). A numerical solution for the turbulent flow of non-Newtonian fluids in the entrance region of a heated circular tube. International Journal of Heat and Fluid Flow, 11(1), 40-43. doi:10.1016/0142-727X(90)90022-4

PY - 1990/3/1

Y1 - 1990/3/1

N2 - Numerical solutions of conservation equations are obtained for turbulent flow of non - Newtonian fluids in a circular tube . The forward marching procedure of Patankar and Spalding^1 was implemented in order to obtain the simultaneous development of the velocity and temperature fields by using the apparent viscosity of fluids . Prandtl's mixing length concept is used to determine the apparent turbulent shearing stress. Furthermore, local and average Nusselt numbers are obtained in the entrance region , as well as in the fully developed region . For the case of the fully developed region , values of the Nusselt numbers are compared both with the experimental data and empirical correlations.

AB - Numerical solutions of conservation equations are obtained for turbulent flow of non - Newtonian fluids in a circular tube . The forward marching procedure of Patankar and Spalding^1 was implemented in order to obtain the simultaneous development of the velocity and temperature fields by using the apparent viscosity of fluids . Prandtl's mixing length concept is used to determine the apparent turbulent shearing stress. Furthermore, local and average Nusselt numbers are obtained in the entrance region , as well as in the fully developed region . For the case of the fully developed region , values of the Nusselt numbers are compared both with the experimental data and empirical correlations.

KW - Non-Newtonian fluids

KW - Power-law fluids

KW - Entrance region

KW - Developing region

UR - https://engagedscholarship.csuohio.edu/encbe_facpub/70

U2 - 10.1016/0142-727X(90)90022-4

DO - 10.1016/0142-727X(90)90022-4

M3 - Article

VL - 11

JO - International Journal of Heat and Fluid Flow

JF - International Journal of Heat and Fluid Flow

ER -

A Numerical Solution for the Turbulent Flow of Non-Newtonian Fluids in the Entrance Region of a Heated Circular Tube

Abstract

Keywords

Disciplines

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