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Brinkman equation for a corrugated pipe using a spectral–Galerkin method

✍ Scribed by F. Talay Akyildiz; Hamid Bellout

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
499 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

This study numerically investigates the fully developed flow of a Newtonian fluid in a porous-saturated corrugated pipe, on the basis of a Brinkman model. The variable coefficient Helmholtz equation, which is obtained by means of an epitrochoid transformation, is solved using a spectral-Galerkin method. The effects of both the Darcy number and corrugation on the velocity field are discussed and presented graphically. The nature of these effects is documented for the first time.

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