By C. H. Driesen, J. G. M. Kuerten, M. Streng (auth.), D. Dijkstra, B. J. Geurts, J. G. M. Kuerten, H. K. Kuiken (eds.)
This ebook is devoted to Pieter J. Zandbergen at the get together of his sixty-fifth birthday. It comprises fourteen unique contributions written through really good authors and offers with the applying of arithmetic and numerical research to a large choice of difficulties in fluid dynamics and similar fields.
at the moment the learn box of computational fluid dynamics is transforming into strongly and the e-book is hence of curiosity to utilized mathematicians, theoretical physicists and engineers.
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Extra resources for Floating, Flowing, Flying: Pieter J. Zandbergen’s Life as Innovator, Inspirator and Instigator in Numerical Fluid Dynamics
75 (1989) 369-392. Y. Zang, R. Street and J. Koseff, A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates . I. Camp. Phys. 114 (1994) 18- 33. A. Belov, L. Martinelli and A. Jameson, A novel fully implicit multigrid driven algorithm for unsteady incompressible flow calculations. In: S. Wagner, E. Hirschel, J. Periaux and R. ), Computational Fluid Dynamics '94. Chichester: Wiley (1994) pp. 662-670. J. Chang and D. KWak, On the method of pseudo compressibility for numerically solving incompressible flows.
17) to a 2 . Moreover, the (small) quantity (ao11)3 52 L. ---------------------------~ 3 • c '@ b/j • 2 • • • 1 3 4 5 6 void fraction 7 8 9 x (10,000) Figure 2. Gain. caused by bubbles. of sound radiation from a turbulent region as measured by Korman et al. . 17). 16). It would be interesting to be able to compare these results with experiments. However, data for which all the values of quantities occurring in these relations are given are scarce. The present author has found some interesting results in Korman, Roy and Crum .
Then e;' = p / ap and the factor 1] mentioned above, with which CW find the emitted sound intensity to be multiplied with respect to the single fluid case, is proportional to a 2 . This indicates already interaction between the bubbles, exemplified in the effective medium model. In this paper we search for a contribution of order a, valid when bubbles are so far apart that their interaction is negligible. However, their distance is no longer small with respect to the integral scale of the turbulence.