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Chorin, A.J. and Marsden, J. E. (1993) A Mathematical Introduction to Fluid Mechanics. Springer, New York.
http://dx.doi.org/10.1007/978-1-4612-0883-9

has been cited by the following article:

  • TITLE: Modeling and Simulation of Real Gas Flow in a Pipeline

    AUTHORS: Agegnehu Atena, Tilahun Muche

    KEYWORDS: Gas Flow, Equation of State, Godunov Scheme, Roe Solver, Pipe

    JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.8, August 30, 2016

    ABSTRACT: In this paper, a mathematical model that describes the flow of gas in a pipe is formulated. The model is simplified by making some assumptions. It is considered that the natural gas flowing in a long horizontal pipe, no heat source occurs inside the volume, transfer of heat due to heat conduction is dominated by heat exchange with the surrounding. The flow equations are coupled with equation of state. Different types of equations of state, ranging from the simple Ideal gas law to the more complex equation of state Benedict Webb Rubin Starling (BWRS), are considered. The flow equations are solved numerically using the Godunov scheme with Roe solver. Some numerical results are also presented.