In Eulerian fluid mechanics, conservation laws may be set up for four different types of control volumes. A control volume may be infinitesimally small or finite in size. Independent of size, a control volume may be fixed in space or moving along with the flow. This chapter shows which combination of fixed or moving and finite or infinitesimal control volume yields which form of the conservation law. Finite control volumes lead to integral forms, whereas infinitesimally small control volumes result in differential forms of the conservation laws. Moving control volumes always contain the same fluid mass but may change their shape. The chapter discusses the application of all four types of control volumes to the conservation of mass principle. As a result, it obtains four equivalent mathematical models for the conservation of mass principle known as the continuity equation.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Continuity Equation


    Contributors:


    Publication date :

    2019-05-06


    Size :

    9 pages




    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




    Continuity Equation Validation for Nonhomogeneous Traffic

    Tiwari, Geetam | Online Contents | 2008


    Continuity Equation Validation for Nonhomogeneous Traffic

    Tiwari, G. / Fazio, J. / Gaurav, S. et al. | British Library Online Contents | 2008




    Continuity equation for the angular momentum and its application [3904-12]

    Alexeyev, C. N. / Fridman, Y. A. / Alexeyev, A. N. et al. | British Library Conference Proceedings | 1999