Comparison of different approaches in the Trefftz method for analysis of fluid flow between regular bundles of cylindrical fibres

22nd Fluid Mechanics Conference

物理学;力学

Mierzwiczak, M.^1 ; Grabski, J.K.^1 ; Kolodziej, J.A.^1

Poznan University of Technology, Institute of Applied Mechanics, Jana Pawla II 24, Poznan

60-965, Poland^1

关键词: Approximate solution;    Cartesian coordinate system;    Cylindrical coordinate systems;    Friction factors;    Fundamental solutions;    Governing equations;    Linear combinations;    Method of fundamental solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/760/1/012019/pdf
DOI  :  10.1088/1742-6596/760/1/012019

学科分类：力学，机械学

来源: IOP

【 摘 要 】

In the paper three different approaches for the Trefftz method are compared in analysis of the fluid flow between regular bundles of cylindrical fibres. The approximate solution is a linear combination of such trial functions which fulfil exactly the governing equations. The trial functions can be defined in the Cartesian coordinate system (the first approach), in the cylindrical coordinate system (and can fulfil also some boundary conditions - the second approach) or be defined as a fundamental solutions (the third approach - the method of fundamental solutions).The average velocity and the product of the friction factor and the Reynolds numbers. Re are compared for selected parameters of a considered region.