Laminar compressible flow in a tube

Robert K. Prud'Homme; Thomas W. Chapman; J. Ray Bowen

doi:10.1007/BF00385729

Laminar compressible flow in a tube

Robert K. Prud'Homme
, Thomas W. Chapman
, J. Ray Bowen

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

92 Scopus citations

Abstract

A two-dimensional solution for the velocity and pressure distributions in steady, laminar, isothermal flow of an ideal gas in a long tube is obtained as a double perturbation expension in β, the radius to length ratio, and ε, the relative pressure drop. It is found that simple approximations estimate the exact flow rate-pressure drop relationship accurately.

Original language	English (US)
Pages (from-to)	67-74
Number of pages	8
Journal	Applied Scientific Research
Volume	43
Issue number	1
DOIs	https://doi.org/10.1007/BF00385729
State	Published - Mar 1986

All Science Journal Classification (ASJC) codes

General Engineering

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10.1007/BF00385729

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title = "Laminar compressible flow in a tube",

abstract = "A two-dimensional solution for the velocity and pressure distributions in steady, laminar, isothermal flow of an ideal gas in a long tube is obtained as a double perturbation expension in β, the radius to length ratio, and ε, the relative pressure drop. It is found that simple approximations estimate the exact flow rate-pressure drop relationship accurately.",

author = "Prud'Homme, \{Robert K.\} and Chapman, \{Thomas W.\} and Bowen, \{J. Ray\}",

year = "1986",

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AU - Chapman, Thomas W.

AU - Bowen, J. Ray

PY - 1986/3

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N2 - A two-dimensional solution for the velocity and pressure distributions in steady, laminar, isothermal flow of an ideal gas in a long tube is obtained as a double perturbation expension in β, the radius to length ratio, and ε, the relative pressure drop. It is found that simple approximations estimate the exact flow rate-pressure drop relationship accurately.

AB - A two-dimensional solution for the velocity and pressure distributions in steady, laminar, isothermal flow of an ideal gas in a long tube is obtained as a double perturbation expension in β, the radius to length ratio, and ε, the relative pressure drop. It is found that simple approximations estimate the exact flow rate-pressure drop relationship accurately.

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SP - 67

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JO - Applied Scientific Research

JF - Applied Scientific Research

IS - 1

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Laminar compressible flow in a tube

Abstract

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