Abstract
The present chapter discusses flows through structures with solid walls and constant flow cross sections, and flows outside the surfaces of solid bodies in motion, allowing for the formation of two-dimensional velocity fields. The flows may be steady or unsteady. We discuss a selection of classical flows with generic relevance for technical applications, as represented in other books as well [3, 9, 11, 15]. We add the discussion of a flow relevant for the biomechanics of brain injuries. In all cases we start from the stream functions derived in the preceding chapter.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions, pp. 503–535. Dover, New York (1972)
Batchelor, G.K.: An Introduction to Fluid Mechanics. Cambridge University Press, Cambridge (UK) (2000)
Currie, I.G.: Fundamental Mechanics of Fluids, 2nd edn. McGraw Hill, New York (USA) (1993)
Drazin, P.G., Reid, W.H.: Hydrodynamic Stability, 2nd edn. Cambridge University Press, Cambridge (UK) (2004)
Durst, F., Ismailov, M., Trimis, D.: Measurement of instantaneous flow rates in periodically operating injection systems. Exp. Fluids 20, 178–188 (1996)
Durst, F., Ünsal, B., Ray, S., Trimis, D.: Method for defined mass flow variations in time and its application to test a mass flow rate meter for pulsating flows. Meas. Sci. Technol. 18, 790–802 (2007)
Klug, C., Sinz, Brenn, G. Feist, F.: Experimental sphere-in-sphere testing for the validation of a numerical cerebrospinal fluid model. In: Proceedings of the IRCOBI Conference 2013, paper IRC-13-53, pp. 483–496. Gothenburg (S), 11–13 September 2013
Lambossy, P.: Oscillations forcées d’un liquide incompressible et visqueux dans un tube rigide et horizontal. Calcul de la force de frottement (Forced oscillations of an incompressible viscous liquid in a rigid horizontal tube. Calculation of the friction force, in French). Helvet. Phys. Acta 25, 371–386 (1952)
Schlichting, H.: Grenzschichttheorie (Boundary Layer Theory, in German), 8th edn. Braun, Karlsruhe (Germany) (1982)
Sexl, T.: Über den von E.G. Richardson entdeckten Annulareffekt (About the annular effect discovered by E.G. Richardson, in German). Z. Phys. 61, 349–362 (1930)
Sherman, F.S.: Viscous Flow. McGraw-Hill, New York (1990)
Spurk, J.H.: Strömungslehre - Eine Einführung in die Theorie der Strömungen (Fluid Mechanics—An Introduction to the Theory of Fluid Flow, in German), 5th edn. Springer, Berlin, Heidelberg, New York (2004)
Szymanski, P.: Quelques solutions exactes des équations de l’hydrodynamique du fluide visqueux dans le cas d’un tube cylindrique (Some exact solutions of the hydrodynamic equations of the viscous fluid in the case of a cylindrical tube, in French). J. Math. Pures Appl. 11, 67–107 (1932)
Taylor, G.I.: Stability of a viscous liquid contained between two rotating cylinders. Phil. Trans. Roy. Soc. A 223, 289–343 (1923)
White, F.M.: Viscous Fluid Flow, 2nd edn. McGraw Hill, New York (USA) (1991)
Womersley, J.R.: Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J. Physiol. 127, 553–563 (1955)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Brenn, G. (2017). Laminar Two-Dimensional Flow. In: Analytical Solutions for Transport Processes. Mathematical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-51423-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-662-51423-8_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-51421-4
Online ISBN: 978-3-662-51423-8
eBook Packages: EngineeringEngineering (R0)