Heat transfer for the generalized Newtonian fluid flow through a fibrous porous media

摘要

The paper presents a consideration of a steady longitudinal, laminar flow through the fibrous porous media. A non-Newtonian, incompressible fluid is modeled using the power law, the Sisko, the Carreau and the Prandtl- Eyring models. Cylindrical fibers are arranged to form a regular square, triangular or hexagonal array. The fluid flow and the heat transfer in fibrous porous media was investigated by use of the meshless method. The proposed algorithm is easy to implement and it is mesh-free. A non-linear governing equation in a repeated element of an array is solved using the Picard iteration method. At each iteration step, the method of fundamental solutions and the method of particular solutions are used. The velocity and the temperature field are calculated as a function of porosity.