A numerical method is developed to solve the coupled unsteady laminar momentum and thermal boundary layers over a circular cylinder impulsively started from rest. The present non-iterative finite difference method, which requires relatively fewer grid points in the reversed flow region than any othe
Circular Hydraulic Jumps Triggered by Boundary Layer Separation
โ Scribed by H.-C. Chang; E.A. Demekhin; P.V. Takhistov
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 360 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0021-9797
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โฆ Synopsis
When a high-flow-rate circular jet impinges vertically on a horizontal plane, it flows out radially and then undergoes a distinctive hydraulic jump on the plane because of boundary layer separation induced by hydrostatic back pressure. The jump radius is shown to be 0.37 a Re 1/3 -1/8 , where = (ga 3 /ฮฝ 2 ) Re -7/3 is a modified Froude number, Re = (Q/aฮฝ) is the jet Reynolds number, a is the jet radius, and Q the liquid flow rate, which is favorably compared to experimental data in the limit of small . When exceeds 3.0 ร 10 -4 at low flow rates, the jump radius decreases below a minimum in the film depth and our experiments detect a different jump mechanism that may be triggered by capillary pressure rather than hydrostatic pressure.
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