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Corresponding Author

El-Kady, M.

Subject Area

Mechanical Power Engineering

Article Type

Original Study

Abstract

This work presents an analysis of a non-Newtonian drag reducing fluid (dilute polymer solutions) in a circular pipe filled with porous media. The flow is developed by modifying the momentum equation for the flow in porous media to account for the elougational viscosity of drag reducing fluids. The modified Darcy-Forschheimer-Brinkman's equation is solved using the finite difference method. The results are obtained for flow Reynolds number up to 105, a non-Newtonian drag parameter range of 0≤ up < /strong>≤5000, and nondimensional pressure gradient B up to 1010. The results show that the non-Newtonian effect of drag reducing fluids have a significant influence on the velocity and signifies relative increase in the maguitude of the velocity in the region adjacent to the wall which in turns signifies the channeling effect. This phenomena is reflected in the great influence on the fluid flow characteristics such as the boundary frictional drag, the elongational viscous drag, and in turns in the total drag. Important results documenting and analyzing the behavior of the velocity and the fluid flow characteristics and its dependence on the non-Newtonian drag parameter are also reported in the course of the study. An experimental investigation was carried out for the flow of water and a dilute polymer solutions with concentrations C = 1, 5, 20, 50 and 100 wppm of the polyacryiamide in a circular rube of 20mm diameter filled with 3.2 mm diameter stainless-steel spheres. Comparison of the numerical results with the experimental results show good agreement of the presented results and prove the validity of the model.

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