1971
DOI: 10.1017/s0001925900005874
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Turbulent Jets and Wall Jets in Uniform Streaming Flow

Abstract: SummaryFor plane turbulent jets and wall jets in uniform streaming flow a simple method, based on a simple empirical formula for the rate of growth which differs from that proposed by Abramovich, is presented. The predictions of length scale, l0, and velocity scale, u0, are in good agreement with experimental results for all ratios of free-stream to jet exit velocity and the eddy viscosity Reynolds number has the correct asymptotic values.

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Cited by 28 publications
(20 citation statements)
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“…Unlike the entrainment constants, these rates also agree quite well for nonbuoyant and buoyant flows on one hand, and for plane and axisymmetric shear flows on the other [11]. We noticed that the origin of the diffusion approach appears to be getting lost, Patel [4] already referred to Abramovich [3] as attributing it to Prandtl. In this study we show that the diffusion model is particularly suitable for forced plumes flowing down an incline. In the aquatic environment such flows can arise when the flow is released into an aquifer under some pressure to enhance dilution.…”
supporting
confidence: 53%
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“…Unlike the entrainment constants, these rates also agree quite well for nonbuoyant and buoyant flows on one hand, and for plane and axisymmetric shear flows on the other [11]. We noticed that the origin of the diffusion approach appears to be getting lost, Patel [4] already referred to Abramovich [3] as attributing it to Prandtl. In this study we show that the diffusion model is particularly suitable for forced plumes flowing down an incline. In the aquatic environment such flows can arise when the flow is released into an aquifer under some pressure to enhance dilution.…”
supporting
confidence: 53%
“…More recent experiments show that E = dH/dx for free plumes is about 0.15 [11]. Results for wall jets in a uniform stream by Patel [4] indicate that dH/dx = 0.091 for these flows. Similar to what is found for free shear flows, this widening rate is again in excellent agreement with the value of E = dH/dx = 0.095 ± 0.005 for wall plumes obtained by Grella and Faeth [26].…”
Section: Velocity-based Width Scales For Free Shear Flows and Gravitymentioning
confidence: 99%
“…A combination of both models was proposed by Jirka [7]. We also noticed that the origin of the diffusion concept appears to be getting lost, Patel [9] already quoted Abramovich [3] as attributing it to Prandtl. The two concepts are compared for plane jets and plumes in Sect.…”
Section: Introductionmentioning
confidence: 72%
“…Prandtl's diffusion relation can also be restated in terms of top-hat scales. In the spirit of Patel [9] and [26] the corresponding relation can be stated as…”
Section: Relation Between the Diffusion And Entrainment Conceptsmentioning
confidence: 99%
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