Fully developed viscous flow in internally finned tubes

K. Nandakumar; J. H. Masliyah

doi:10.1016/0300-9467(75)88025-7

Fully developed viscous flow in internally finned tubes

K. Nandakumar^*, J. H. Masliyah

^*Corresponding author for this work

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

30 Scopus citations

Abstract

An approximate solution is obtained using a finite element method to solve the equation of motion governing the steady state, fully developed, incompressible Newtonian flow within a straight tube with internal fins. The values of the product f Re are computed over a wide range of values for length, thickness and number of fins. It is observed that equivalent diameter alone is not a sufficient parameter to correlate f Re values. The equation. fRe = -0.5077 + 16.287( D_e D_i)^1.2 -0.049 ×. {1-exp( 20sl s+l)}. predicts f Re values with an average error of 2.0%. A less rigorous correlation in terms of D_e/D_i alone is given by. f Re = 16.07 (D_e/D_i)^1.177. This equation predicts f Re values with an average error of 4.0%.

Original language	English
Pages (from-to)	113-120
Number of pages	8
Journal	The Chemical Engineering Journal
Volume	10
Issue number	1
DOIs	https://doi.org/10.1016/0300-9467(75)88025-7
State	Published - 1975
Externally published	Yes

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10.1016/0300-9467(75)88025-7

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@article{358145f142c24ab4abd38ef4116ed7c3,

title = "Fully developed viscous flow in internally finned tubes",

abstract = "An approximate solution is obtained using a finite element method to solve the equation of motion governing the steady state, fully developed, incompressible Newtonian flow within a straight tube with internal fins. The values of the product f Re are computed over a wide range of values for length, thickness and number of fins. It is observed that equivalent diameter alone is not a sufficient parameter to correlate f Re values. The equation. fRe = -0.5077 + 16.287( De Di)1.2 -0.049 ×. {1-exp( 20sl s+l)}. predicts f Re values with an average error of 2.0%. A less rigorous correlation in terms of De/Di alone is given by. f Re = 16.07 (De/Di)1.177. This equation predicts f Re values with an average error of 4.0%.",

author = "K. Nandakumar and Masliyah, {J. H.}",

note = "Funding Information: The authors wish to thank the National Research Council of Canadaa nd the University of Saskatchewan for financial support. The authors would also like to thank Dr. Paul Watkinson for suggestingth is research project and Noranda ResearchC entre for making availablet o us their experimentalf indings.",

year = "1975",

doi = "10.1016/0300-9467(75)88025-7",

language = "英语",

volume = "10",

pages = "113--120",

journal = "The Chemical Engineering Journal",

issn = "0300-9467",

publisher = "Elsevier BV",

number = "1",

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TY - JOUR

T1 - Fully developed viscous flow in internally finned tubes

AU - Nandakumar, K.

AU - Masliyah, J. H.

N1 - Funding Information: The authors wish to thank the National Research Council of Canadaa nd the University of Saskatchewan for financial support. The authors would also like to thank Dr. Paul Watkinson for suggestingth is research project and Noranda ResearchC entre for making availablet o us their experimentalf indings.

PY - 1975

Y1 - 1975

N2 - An approximate solution is obtained using a finite element method to solve the equation of motion governing the steady state, fully developed, incompressible Newtonian flow within a straight tube with internal fins. The values of the product f Re are computed over a wide range of values for length, thickness and number of fins. It is observed that equivalent diameter alone is not a sufficient parameter to correlate f Re values. The equation. fRe = -0.5077 + 16.287( De Di)1.2 -0.049 ×. {1-exp( 20sl s+l)}. predicts f Re values with an average error of 2.0%. A less rigorous correlation in terms of De/Di alone is given by. f Re = 16.07 (De/Di)1.177. This equation predicts f Re values with an average error of 4.0%.

AB - An approximate solution is obtained using a finite element method to solve the equation of motion governing the steady state, fully developed, incompressible Newtonian flow within a straight tube with internal fins. The values of the product f Re are computed over a wide range of values for length, thickness and number of fins. It is observed that equivalent diameter alone is not a sufficient parameter to correlate f Re values. The equation. fRe = -0.5077 + 16.287( De Di)1.2 -0.049 ×. {1-exp( 20sl s+l)}. predicts f Re values with an average error of 2.0%. A less rigorous correlation in terms of De/Di alone is given by. f Re = 16.07 (De/Di)1.177. This equation predicts f Re values with an average error of 4.0%.

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U2 - 10.1016/0300-9467(75)88025-7

DO - 10.1016/0300-9467(75)88025-7

M3 - 文章

AN - SCOPUS:0016562510

SN - 0300-9467

VL - 10

SP - 113

EP - 120

JO - The Chemical Engineering Journal

JF - The Chemical Engineering Journal

IS - 1

ER -

Fully developed viscous flow in internally finned tubes

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