论文信息 - The flow due to a rough rotating disk

The flow due to a rough rotating disk

AbstractVon Kármán’s problem of a rotating disk in an infinite viscous fluid is extended to the case where the disk surface admits partial slip. The nonlinear similarity equations are integrated accurately for the full range of slip coefficients. The effects of slip are discussed. An existence proof is also given.

Chang Y. Wang | C. Wang | Milan Miklavčič | M. Miklavcic

[1] Felix Sharipov,et al. Data on Internal Rarefied Gas Flows , 1998 .

[2] D. Joseph,et al. Boundary conditions at a naturally permeable wall , 1967, Journal of Fluid Mechanics.

[3] On the swirling flow problem , 1971 .

[4] Ephraim M Sparrow,et al. Flow about a porous-surfaced rotating disk , 1971 .

[5] Chaoyang Wang. Exact Solutions of the Steady-State Navier-Stokes Equations , 1991 .

[6] E. R. Benton. On the flow due to a rotating disk , 1966, Journal of Fluid Mechanics.

[7] C. Wang. The Stokes drag due to the sliding of a smooth plate over a finned plate , 1994 .

[8] J. McLeod. Von Kármán's swirling flow problem , 1969 .

[9] C. Wang. Drag due to a striated boundary in slow Couette flow , 1978 .

[10] P. Zandbergen,et al. Von Karman Swirling Flows , 1987 .

[11] G. N. Lance,et al. The rotationally symmetric flow of a viscous fluid in the presence of an infinite rotating disk , 1960, Journal of Fluid Mechanics.

[12] W. Cochran. The flow due to a rotating disc , 1934, Mathematical Proceedings of the Cambridge Philosophical Society.

[13] T. Kármán. Über laminare und turbulente Reibung , 1921 .

[14] J. Serrin,et al. The existence of similar solutions for some laminar boundary layer problems , 1968 .