M.Elkamel, Hasan Taher and Basuno, Bambang and Asmuin, Norzelawati (2013) Investigation the behaviour of cell centered finite volume scheme to the convergent divergent nozzle flow problems. In: Prosiding Seminar Kebangsaan Aplikasi Sains dan Matematik 2013 (SKASM 2013) , 2930 Oktober 2013, Batu Pahat, Johor .

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Abstract
The present work focuses on the development of computer code which allow one investigate the flow behavior through a convergent  divergent nozzle. The flow is assumed as steady quasi one dimensional inviscid compressible flow. In other word, the flow problem is governed by compressible Euler equation. The Euler equation in steady form may behaves as elliptic partial differential equation or as hyperbolic type of partial differential equation depending on the local Mach number. If the local Mach number M < 1, the Euler Equation behaves as elliptic equation while for M > 1, it will behave as hyperbolic equation. In one flow domain, with the boundary which separation between two flow domains are not clear, make the Euler equation becomes very difficult to be solved. To avoid such difficulty, one may solve the Euler equation in unsteady form. The present work uses unsteady Euler equation as its governing equation of fluid motion inside the nozzle and cell centered finite volume scheme for their numerical solution. This numerical scheme applied for the case of flow past through two type nozzle models. The first nozzle model follow the nozzle model introduced by Blazek and the second nozzle according to Anderson. Here use the Cell Centered Finite Volume scheme for the purpose of flow analysis on the nozzle. The flow analysis carried out over various flow condition applied to the inlet and outlet section of the nozzle. The result shows that this numerical approach has a limitation. One can not impose arbitrary boundary conditions in solving divergent  convergent nozzle numerically, especially if one use a Cell Centered scheme.
Item Type:  Conference or Workshop Item (Paper) 

Uncontrolled Keywords:  convergent divergent nozzle; cell centered scheme; finite volume; computational fluid dynamics 
Subjects:  T Technology > TJ Mechanical engineering and machinery > TJ11251345 Machine shops and machine shop practice 
Divisions:  Faculty of Mechanical and Manufacturing Engineering > Department of Aeronautical Engineering 
Depositing User:  Normajihan Abd. Rahman 
Date Deposited:  06 Jan 2014 07:55 
Last Modified:  21 Jan 2015 07:59 
URI:  http://eprints.uthm.edu.my/id/eprint/4531 
Statistic Details:  View Download Statistic 
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