Darcy Weish Bach Friction Factor Through Porous Rectanguler Open Channels II  A Numerical (Galerkin) Solution

          A.Venkateshwarlu,

    *N. Ch. Pattabhiramacharyulu

          Department of Mathematics,

          C.K.M Arts&Science college,  

          Warangal, A.P., India.

          Email:  arravenkateshwarlu@gmail.com

    professor(Retd)of Mathematics

    National Institute of technology    

    Warangal-506004, A.P., India.

     

ABSTRACT

Darcy-Weish Bach Friction Factor plays a notable role in the estimation of flow drop in open channels. Most of the studies on open channel flows are experimental due to geometric complexity of channels and their networks.The present paper deals with an estimation of Darcy-Weish Bach Friction factor through an open porous straight channel of rectangular cross-section. An approximate solution is obtained to the basic flow equation employing Galerkin Technique.The fluid is assumed to be incompressible homogenous and viscous.The momentum equation adopted takes care of the convective acceleration and viscous shears generated in the flow region in addition to classical Darcy friction force.An approximate solution is obtained employing Galerkin Technique.The mean velocity and Darcy-Weish Bach Friction factor have been computed and their variations are illustrated.

 

 

 

 


International eJournal of Mathematics and Engineering

Volume 1, Issue 3, Pages:  472 483