Volume 3 Number 5 (Sep. 2013)
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IJAPM 2013 Vol.3(5): 316-323 ISSN: 2010-362X
DOI: 10.7763/IJAPM.2013.V3.229

The Construction of an Integral Formula for Computing Cylindrical and Non-Cylindrical Flow in the Region Bounded by Two Coaxial Cylinders of Varying Radii

Vasos Pavlika

Abstract—In this paper an integral formula will be derived that will compute the velocity of a non-cylindrical flow variation in swan neck ducts with prescribed flow characteristics. The flow can be characterized by the total head, H(ψ) a function of only the stream function, ψ (x, r) and by the function C(ψ) which is a function of the azimuthal (circumferential) component of velocity vector, u in cylindrical polar coordinates (x, r, ). The solution to the problem is given in terms of an integral formula based on Green’s first identity.

Index Terms—Stokes stream function, cylindrical flow, non-cylindrical flow, singular integral formula.

Vasos Pavlika is with SOAS, University of London, UK (e-mail: vp4@soas.ac.uk).

Cite: Vasos Pavlika, "The Construction of an Integral Formula for Computing Cylindrical and Non-Cylindrical Flow in the Region Bounded by Two Coaxial Cylinders of Varying Radii," International Journal of Applied Physics and Mathematics vol. 3, no. 5, pp. 316-323, 2013.

General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing: INSPEC(IET), CNKI, Google Scholar, EBSCO, Chemical Abstracts Services (CAS), etc.
E-mail: ijapm@iap.org
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