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Laminar compressible flow in a tube

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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.

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References

  1. R.B. Bird, W.E. Stewart, and E.N. Lightfoot, Transport Phenomena, John Wiley & Sons, Inc. New York (1960) p. 468.

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  2. Ali Bulent Cambel, “Compressible Flow”, Chapter 8 in Handbook of Fluid Dynamics, Victor L. Streeter, Ed., McGraw-Hill Book Company, Inc., New York (1961), pp. 8–38-8–62.

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  3. R.B. Bird et al., op. cit., p. 92.

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  4. R.B. Bird et al., op. cit., p. 484.

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  5. R.B. Bird et al., op. cit., p. 314.

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Author notes

  1. Robert K. Prud'Homme

    Present address: Chemical Engineering Department, Princeton University, Princeton, New Jersey, USA

  2. J. Ray Bowen

    Present address: College of Engineering, University of Washington, Seattle, Washington, USA

Authors and Affiliations

  1. Chemical Engineering Department, University of Wisconsin, 53706, Madison, WI, USA

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

Authors
  1. Robert K. Prud'Homme
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  2. Thomas W. Chapman
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  3. J. Ray Bowen
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Prud'Homme, R.K., Chapman, T.W. & Bowen, J.R. Laminar compressible flow in a tube. Appl. Sci. Res. 43, 67–74 (1986). https://doi.org/10.1007/BF00385729

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  • DOI: https://doi.org/10.1007/BF00385729

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