全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

The Entrance Region of Circular Pipes Revisited

DOI: 10.4236/oalib.1102675, PP. 1-7

Subject Areas: Applied Physics

Keywords: Flow Development, Round Pipe, Incompressible Flow, Constant Temperature, Complete Finite Element Solution, Navier-Stokes Equations

Full-Text   Cite this paper   Add to My Lib

Abstract

The laminar flow in the entrance region of pipes having a circular cross section is investigated by the use of finite element solutions to the full Navier-Stokes equations in cylindrical coordinates. Because these solutions cover the complete three-dimensional geometry the usual development length is no longer a very interesting parameter as explained herein. The velocities and pressures are determined throughout the pipe and presented in graphic form.

Cite this paper

Young, F. J. (2016). The Entrance Region of Circular Pipes Revisited. Open Access Library Journal, 3, e2675. doi: http://dx.doi.org/10.4236/oalib.1102675.

References

[1]  Schiller, L. (1922) Die Entwicklung der laminaren Geschwindigkeitsverteilung und ihre Bedeutung für Zahigkeitsmessungen, (Mit einem Anhang über den Druckverlust turbulenter Stromung beim Eintritt in ein Rohr.). Zeitschrift für angewandte Mathematik und Mechanik, 2, 96-106.
http://dx.doi.org/10.1002/zamm.19220020203
[2]  Bodoia, J.R. and Osterle, J.F. (1961) Finite Difference Analysis of Plane Poiseuille and Couette Flow Developments. Applied Scientific Research, A10, 265.
http://dx.doi.org/10.1007/BF00411919
[3]  Campbell, W.D. and Slattery, J.C. (1962) Flow in the Entrance of a Tube. ASME Paper No. 62-Hyd-6.
[4]  Gerrad, J.H. and Taylor, L.A. (1977) Mathematical Model Representing Blood Flow Inarteries. Medical and Biological Engineering and Computing, 19, 611-617.
http://dx.doi.org/10.1007/BF02457918
[5]  Hornbeck, R.W. (1964) Laminar Flow in the Entrance Region of a Pipe. Applied Scientific Research, Section A, 13, 224-236.
http://dx.doi.org/10.1007/BF00382049
[6]  Durst, F., Ray, S., U’nsal, B. and Bayoumi, O.A. (2005) The Development Lengths of Laminar Pipe and Channel Flows. Transactions of the ASME, 127, 1154-1160.
http://dx.doi.org/10.1115/1.2063088
[7]  T'oppel, M., Rada, M. and Pasche, E. (2006) Hydrodynamic Flow Simulation in Pipe Networks Including Heat Transfer. Dresdener Wasserbauliche Mitteilungen, 32, 461.
[8]  Hinsen, K. (2016) Scientific Communication in the Digital Age. Physics Today, 69, #6.

Full-Text


comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133

WeChat 1538708413