Abstract
A flow problem is described mathematically by the conservation equations for mass, momentum and energy. In this chapter, the conservation equations are derived by deducing them from a general approach. The partial nonlinear differential equations are treated in a Cartesian reference frame, where an infinitesimally small volume element is considered as a balance space, whose edges are each parallel to the corresponding coordinate axes. The volume element is considered fixed in space. It is assumed that the fluid is homogeneous, while a distinction is made between compressible and incompressible flow.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
H. Sigloch, Technische Fluidmechanik, 10 ed., Springer Vieweg, Berlin Heidelberg, 2017.
H. Schlichting and K. Gersten, Grenzschicht-Theorie, 10 ed., Springer Verlag, 2006.
G. Böhme, Strömungsmechanik nichtnewtonscher Fluide, 2nd Teubner Verlag Stuttgart, 2000.
Herbert Oertel Jr., Prandtl – Führer durch die Strömungslehre: Grundlagen und Phänomene, ed., Springer Vieweg, Wiesbaden, 2012.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Fachmedien Wiesbaden GmbH, part of Springer Nature
About this chapter
Cite this chapter
Ghaib, K. (2023). Conservation Equations. In: Introduction to Computational Fluid Dynamics. essentials. Springer, Wiesbaden. https://doi.org/10.1007/978-3-658-37619-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-658-37619-2_2
Published:
Publisher Name: Springer, Wiesbaden
Print ISBN: 978-3-658-37621-5
Online ISBN: 978-3-658-37619-2
eBook Packages: EngineeringEngineering (R0)