Abstract
First we state that the governing equations, which describe general three dimensional flow fields, can be found in more or less all fluiddynamic textbooks. Some of them give the complete mathematical derivations of the equations both in integral and differential form, [1–6].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
- 2.
The density \(\rho \) is a constant and also the kinematic viscosity \(\nu \), which does not depend on the temperature T.
References
Hirschel, E.H.: Basics of Aerothermodynamics, 2nd edn. Springer, Berlin (2015)
Hirschel, E.H., Weiland, C.: Selected Aerothermodynamic Design Problems of Hypersonic Flight Vehicles. Springer, Berlin (2009) (Progress in Astronautics and Aeronautics, vol. 229, AIAA, Reston, Va.)
Becker, E.: Gasdynamik. Teubner Verlag, Stuttgart (1966)
Zierep, J.: Theoretische Gasdynamik. G. Braun Verlag, Karlsruhe (1972)
Bird, R.B., Stuart, W.E., Lightfoot, E.N.: Transport Phenomena, 2nd edn. Wiley, New York (2002)
Hirsch, C.: Numerical Computation of Internal and External Flows, vol. I. Wiley, New York, Reprint (1997)
Krause, E.: Strömungslehre, Gasdynamik und aerodynamisches Laboratorium. Teubner Verlag, Stuttgart (2003)
Zierep, J.: Ähnlichkeitsgesetze und Modellregeln der Strömungsmechanik. G. Braun Verlag, Karlsruhe (1972)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Weiland, C. (2020). Method of Differential Equations. In: Mechanics of Flow Similarities. Springer, Cham. https://doi.org/10.1007/978-3-030-42930-0_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-42930-0_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-42929-4
Online ISBN: 978-3-030-42930-0
eBook Packages: EngineeringEngineering (R0)