Open Channel Flow over a Permeable River Bed

Autor:	Cyril Ifeany Udogu, Godwin Christopher Ezike Mbah
Rok vydání:	2015
Předmět:	Physics::Fluid Dynamics Physics Partial differential equation Chézy formula Ordinary differential equation Compressibility Laminar flow Mechanics Energy–depth relationship in a rectangular channel Simulation Pressure gradient Open-channel flow
Zdroj:	OALib. :1-7
ISSN:	2333-9705 2333-9721
DOI:	10.4236/oalib.1101475
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::019f8aabcc14790c730e69e0b62a7c82 https://doi.org/10.4236/oalib.1101475 Zobrazit plný text záznamu