• Login
    View Item 
    •   MKSU Digital Repository Home
    • Research and Publications
    • School of Pure and Applied Sciences
    • School of Pure and Applied Sciences
    • School of Pure and Applied Sciences
    • View Item
    •   MKSU Digital Repository Home
    • Research and Publications
    • School of Pure and Applied Sciences
    • School of Pure and Applied Sciences
    • School of Pure and Applied Sciences
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    A Study of Solutions to Euler Equations for a One Dimensional Unsteady Flow

    Thumbnail
    View/Open
    Full Text (264.0Kb)
    Date
    2013
    Author
    Mutua, S.K
    Kimathi, M. E.
    Kiogora, P. R.
    Mutua, N. M.
    Metadata
    Show full item record
    Abstract
    In this paper we deal with the Euler equations for Isothermal gas. In analyzing the equations we obtain two real and distinct eigenvalues which enables us to determine the wave structure of the possible solutions to the Riemann problem set up. By considering the Rankine-Hugoniot condition we obtain the shock wave solution analytically. The rarefaction wave solution is determined analytically by considering the fact that rarefaction wave lies along integral curves. To obtain the numerical solution to the Riemann problem that we set up, we use a relaxation scheme to discretize the Euler equations for isothermal gas. Finally we present the simulation results of the numerical solutions, that is, the approximate shock and rarefaction wave solutions are shown, graphically, and explained.
    URI
    http://ir.mksu.ac.ke/handle/123456780/2198
    Collections
    • School of Pure and Applied Sciences [259]

    DSpace software copyright © 2002-2015  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    @mire NV
     

     

    Browse

    All of Digital RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsBy Submit DateThis CollectionBy Issue DateAuthorsTitlesSubjectsBy Submit Date

    My Account

    LoginRegister

    DSpace software copyright © 2002-2015  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    @mire NV