1977
DOI: 10.1017/s0022112077000214
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On cavity flow at high Reynolds numbers

Abstract: The flow in a square cavity is studied by solving the full Navier–Stokes and energy equations numerically, employing finite-difference techniques. Solutions are obtained over a wide range of Reynolds numbers from 0 to 50000. The solutions show that only at very high Reynolds numbers (Re[ges ] 30000) does the flow in the cavity completely correspond to that assumed by Batchelor's model for separated flows. The flow and thermal fields at such high Reynolds numbers clearly exhibit a boundary-layer character. For … Show more

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Cited by 101 publications
(28 citation statements)
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“…The present model data are compared with the data presented by Nalassamy and Prasad [56]. Both the velocity and temperature profiles of the present model show excellent agreement with the results predicted by Nalassamy and Prasad [56].…”
Section: Model Verificationsupporting
confidence: 81%
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“…The present model data are compared with the data presented by Nalassamy and Prasad [56]. Both the velocity and temperature profiles of the present model show excellent agreement with the results predicted by Nalassamy and Prasad [56].…”
Section: Model Verificationsupporting
confidence: 81%
“…The dimensionless local velocity and temperature profiles at the cavity center (x* = x/L = 0.5) for a mixed convective flow with Re = 100 are shown along with the height of the cavity (y* = y/H). The present model data are compared with the data presented by Nalassamy and Prasad [56]. Both the velocity and temperature profiles of the present model show excellent agreement with the results predicted by Nalassamy and Prasad [56].…”
Section: Model Verificationsupporting
confidence: 81%
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“…The results for Re =1000 are plotted with those of Tosaka [32], Thomasset [30] and, Nallasamy and Prasad [34] in Figure 5. Tosaka [32] formulated the boundary integral equations with primitive variables and constructed the fundamental solution by adopting Hormander's method.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…There is an obvious analogy with the lid-driven or shear-driven cavity flows, and there are many numerical and experimental studies of shear-driven rectangular cavities from which the basic flow can be deduced. Stokes flow was assumed by Roshko (1955), Burggraf (1966), Kistler and Tan (1967), Pan and Acrivos (1967), Shen and Floryan (1985) and Gustafson and Halasi (1986), but studies at high Reynolds numbers were done by Nallasamy and Prasad (1977). Unfortunately, there is very little information on the flow within a cylindrical cavity, for either lid-or shear-driven flows.…”
Section: Static Pressure Errorsmentioning
confidence: 99%