Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2025
  • Volume: 17
  • Issue: 2

The Hagen-Poiseuille Flow Through a Circular Pipe in Porous Medium

1Department of Mathemetics, Shobhit University GangohSaharanpur, (U.P.) India

2Department of Mathemetics, Shobhit University GangohSaharanpur, (U.P.) India

3Department of Mathemetics, K.L.D.A.V. CollegeRoorkee, H.N.B.G.U.Srinagar, (U.K) India

*E-mail: nirmalakharola@gmail.com

**hvishvaschand@schobhituniversity.ac.in

Online published on 29 January, 2026.

Abstract

The problems of flow and transport in porous media presents many abnormal challenges before the scholar of mechanics. In mechanics, the Hagen Poisseville can be stated as a physical law which gives the pressure drop in Newtonian fluid flowing through a cylindrical pipe of constant cross section. In this paper The mathematical model of Hagen-Poisseuille flow through a circular pipe in a porous media has been carried out. The Laplace Transformation has been applied to solve the differential difference equations. The objective of the paper is to search out or derive the expressions for various parameters such as Shearing Stress, Skin friction, Drag per unit length, coefficient of friction etc.'

Keywords

Hagen-Poiseuille flow, Steady flow, Circular pipe, Porous medium and Laminar flow