✦ LIBER ✦

On laminar steady flow in sinusoidal channels

✍ Scribed by S. Tsangaris; E. Leiter

Book ID: 104620138
Publisher: Springer
Year: 1984
Tongue: English
Weight: 536 KB
Volume: 18
Category: Article
ISSN: 0022-0833
DOI: 10.1007/bf00042729

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✦ Synopsis

In the present paper a perturbation method is developed in order to study viscous laminar flows through wavy-walled channels. The stream function of the flow is expanded in a series thereby the wall amplitude being the perturbation parameter. The walls of the channel are transformed into parallel straight lines in order to simplify the boundary conditions of the problem on the wall. Flow field and wall-shear stresses are calculated numerically up to the first perturbation order.

The position of the beginning separation on the channel walls and the associated critical Reynolds number are determined, as well as the extension of the region of the separated flow. The position of separation and reattachment points are given as functions of Reynolds numbers lying above the critical Reynolds number. The results are discussed and compared with the experimental results of other papers and further theoretical analysis.

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