Title: Numerical calculations of laminar flows in circular pipe partially filled with porous media
Abstract: This research proposed numerical computations of laminar flows in a circular pipe partly filled with porous media to examine the impact of many dimensionless variables on the velocity profile (u*) and temperature profile (T*). The investigated variables consisted of pressure-gradient (P*), Eckert number (Ec), porosity (ε), and time (t*). An explicit finite difference method was utilized in the calculation method based on the assumption of simplifying the governing equations for transient plane Poiseuille flow, Newtonian fluid, laminar flow, and the incompressible fluid. From the investigation, it was found that the behavior of u* was decreased as decreasing ε. On the other hand, the trend of T* was increased as increasing P*, Ec*, and ε because this was considered as the actual behavior of the Poiseuille flow.