Vol. 11, No. 1, 2016

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Laminar flow of a power-law fluid between corrugated plates

Jakub Krzysztof Grabski and Jan Adam Kołodziej

Vol. 11 (2016), No. 1, 23–40

This paper deals with the problem of a steady, fully developed, laminar flow of a power-law fluid between corrugated plates. A nonlinear governing equation is transformed into a sequence of linear inhomogeneous equations by the Picard iteration method. At each iteration step, the inhomogeneous equation is solved using the method of particular solutions in which the solution consists of two parts: the general solution and the particular solution. The right-hand side of the inhomogeneous equation is interpolated using the radial basis functions and monomials, and simultaneously unknown coefficients of the particular solution are obtained. The method of fundamental solutions is applied in order to obtain the general solution. Unknown coefficients of the general solution are calculated by fulfilling the boundary conditions. In this paper, dimensionless velocity of the fluid and the product of the friction factor and Reynolds number fRe are presented for different values of corrugation amplitude and different parameters of the power-law fluid model.

power-law fluid, corrugated plates, method of fundamental solutions, radial basis functions
Received: 17 August 2014
Revised: 20 March 2015
Accepted: 6 April 2015
Published: 13 January 2016
Jakub Krzysztof Grabski
Institute of Applied Mechanics
Poznań University of Technology
Jana Pawła II 24
60-965 Poznań
Jan Adam Kołodziej
Institute of Applied Mechanics
Poznań University of Technology
Jana Pawła II 24
60-965 Poznań