Abstract
This chapter introduces the fluid motion in terms of vortex dynamics. First, the conceptual background on vortex dynamics is presented to attain an intuition why most fluid phenomena involve vortices and why they are so relevant. Then the origin of vortices, their interaction and dissipation will be discussed. Vortices reveal to have major effects on the wall shear stress along the nearby structures, and the process of vortex formation is associated with the development of forces on surrounding boundaries.
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The scalar λ2 is the intermediate eigenvector of the tensor build by the sum D2 + Ω2, where D and Ω are the rate of deformation and rotation tensors, respectively.
References
Batchelor GK. An introduction to fluid dynamics. Cambridge: Cambridge University Press; 1967.
Dabiri JO. Optimal vortex formation as a unifying principle in biological propulsion. Annu Rev Fluid Mech. 2009;41:17–33.
Davidson PA. Turbulence. An introduction for scientists and engineers. Oxford: Oxford University Press; 2004.
Domenichini F. Impulsive vortex formation from slender orifices. J Fluid Mech. 2011;666:506–20.
Frisch U. Turbulence. Cambridge: Cambridge University Press; 1995.
Gharib M, Rambod E, Shariff K. A universal time scale for vortex ring formation. J Fluid Mech. 1998;360:121–40.
Jeong J, Hussain F. On the identification of a vortex. J Fluid Mech. 1995;285:69–94.
Kida S, Takaoka M. Vortex reconnection. Annu Rev Fluid Mech. 1994;26:169–77.
Luchini P, Tognaccini R. The start-up vortex issuing from a semi-infinite flat plate. J Fluid Mech. 2002;455:175–93.
Lugt HJ. Vortex flow in nature and technology. New York: Wiley; 1983.
Panton RL. Incompressible flow. 3rd ed. Hoboken: Wiley; 2005.
Pedrizzetti G. Unsteady tube flow over an expansion. J Fluid Mech. 1996;310:89–111.
Pedrizzetti G. Vortex formation out of two-dimensional orifices. J Fluid Mech. 2010;655:198–216.
Pullin DI. The large-scale structure of unsteady self-similar rolled-up vortex sheets. J Fluid Mech. 1978;88:401–30.
Saffman PG. Vortex dynamics. Cambridge: Cambridge University Press; 1992.
Shariff K, Leonard A. Vortex rings. Annu Rev Fluid Mech. 1992;24:235–79.
Wu JZ, Ma HY, Zhou MD. Vorticity and vortex dynamics. Berlin/Heidelberg: Springer; 2006.
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Kheradvar, A., Pedrizzetti, G. (2012). Vortex Dynamics. In: Vortex Formation in the Cardiovascular System. Springer, London. https://doi.org/10.1007/978-1-4471-2288-3_2
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DOI: https://doi.org/10.1007/978-1-4471-2288-3_2
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