TITLE:
Open Channel Flow over a Permeable River Bed
AUTHORS:
Godwin Christopher Ezike Mbah, Cyril Ifeany Udogu
KEYWORDS:
Fluid, Flow, Permeable River Bed, Open Channel
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.12,
December
24,
2015
ABSTRACT: This paper presents results of a modeled open channel flow through a
porous media (River). In the model, we considered water as an incompressible
fluid; the flow as steady and uniform; the system is assumed to be isothermal
and the flow pattern is laminar. We have solved the resulting Brinkman equation
using analytical method. By some mathematical operation, the momentum partial
differential equation (PDE) was reduced to ordinary differential equation (ODE)
and the resulting equations are solved analytically using the standard solution
technique for a second order ODE. The analysis of the result was done and plotted
on graph using MATLAB to show the effect of permeability on flow parameters
such as velocity, pressure gradient and height of the channel. It is found that
velocity of the open channel decreases with increase in permeability. Also,
increase in the height of the open channel results in increase in velocity of
flow in the open channel. We also found that an increase in the permeability of
an open channel resulted in decrease in pressure.