Introduction
In a moving fluid the three fundamental laws, conservation of mass, momentum, and energy, must be satisfied at every point in the domain. Thus the first step is to formulate (cast) the three laws in a form that satisfies this condition. This is accomplished by applying each law to a differential (infinitesimal) element. Following this approach, each law is described by a partial differential equation. Differential formulation of the three laws will be presented using rectangular coordinates. The corresponding forms in cylindrical and spherical coordinates will be stated without details.
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References
Schlichting, H.: Boundary Layer Theory, 7th edn. McGraw-Hill, New York (1979); translated into English by Kestin, J.
Bejan, A.: Convection Heat Transfer, 2nd edn. Wiley, Chichester (1995)
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Jiji, L.M. (2009). Differential Formulation of the Basic Laws. In: Heat Convection. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02971-4_2
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DOI: https://doi.org/10.1007/978-3-642-02971-4_2
Publisher Name: Springer, Berlin, Heidelberg
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