Journal of Applied Mechanics Reviews and Reports
ISSN: 3069-0803 | DOI: 10.64030/3069-0803
Igor Gaissinski
A one-dimensional model to determine the laminar ow of a fluid in a porous channel with wall suction or injection is proposed. The approach is based on the integration of the Naiver–Stokes equations using the analytical solutions for the two-dimensional local velocity and pressure fields obtained from the asymptotic developments at low filtration Reynolds number proposed by Berman and Yuan and Finkelstein [1,2]. It is noticeable that the resulting one-dimensional model preserves the whole ow properties, in particular the inertial terms which can affect the wall suction conditions. The model is validated in the case of a single porous channel of rectangular or circular cross-section with uniform or variable wall suction. Then the model is applied to a two-dimensional multi-channel system which consists of a great number of adjacent entrance and exit channels connected by a filter porous medium. All existing models aren’t analytical, and need to use complex numerous calculations. The present model is a first an attempt to reduce the problem to a simple analytical scheme based on Berman Similarity and
perturbation series solution method that allows it to be used by general engineers not using complex mathematical methods