|
|||||
 |
|
|
|
|
|
Laminar flow of a
power-law fluid between corrugated plates
Jakub Krzysztof Grabski and Jan Adam Kołodziej |
|
Vol. 11 (2016), No. 1, 23–40
|
Abstract |
|
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 are presented for different values of corrugation amplitude and different parameters of the power-law fluid model. |
Keywords
power-law fluid, corrugated plates, method of fundamental
solutions, radial basis functions
|
Milestones
Received: 17 August 2014
Revised: 20 March 2015
Accepted: 6 April 2015
Published: 13 January 2016
|
Authors |
| Jakub Krzysztof Grabski | |
| Institute of Applied Mechanics Poznań University of Technology Jana Pawła II 24 60-965 Poznań Poland |
|
| Jan Adam Kołodziej | |
| Institute of Applied Mechanics Poznań University of Technology Jana Pawła II 24 60-965 Poznań Poland |
|
|
