Inviscid axisymmetric jet impingement with recirculating stagnation regions

Rubel, A.

doi:10.2514/3.8079

Cited by 21 publications

(10 citation statements)

References 9 publications

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“…Looney & Walsh (1984) and Bouainouche et al (1997) considered the impinging turbulent plane jet. The second approach to describing impinging jet flow fields involves separating the flow into regions where distinct approximations of the Navier-Stokes equations are valid (Strand 1964;Scholtz & Trass 1970;Rubel 1980Rubel , 1983. This approach is more desirable for our purposes, since we are mainly concerned with the small region of flow located just above the impingement plane, where boundary layer approximations can be made.…”

Section: Introductionmentioning

confidence: 99%

The wall shear stress produced by the normal impingement of a jet on a flat surface

2000

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A method for the theoretical determination of the wall shear stress under impinging jets of various configurations is presented. Axisymmetric and two-dimensional incompressible jets of a wide range of Reynolds numbers and jet heights are considered. Theoretical predictions from this approach are compared with available wall shear stress measurements. These data are critically evaluated based on the method of measurement and its applicability to the boundary layer under consideration. It was found that impingement-region wall shear stress measurements using the electrochemical method in submerged impinging liquid jets provide the greatest accuracy of any indirect method. A unique wall shear stress measurement technique, based on observing the removal of monosized spheres from well-characterized surfaces, was used to confirm the impinging jet analysis presented for gas jets. The technique was also used to determine an empirical relation describing the rise in wall shear stress due to compressibility effects in impinging high-velocity jets.

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Section: Introductionmentioning

confidence: 99%

The wall shear stress produced by the normal impingement of a jet on a flat surface

2000

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“…͑38͒ with a velocity deficient core. The impingement of this type of profile was also investigated numerically by Rubel,17 who predicted the conditions at which areas of recirculation would develop near the stagnation point. Rubel used a family of velocity profiles described in terms of the location of the maximum velocity, r m , and the core velocity deficiency, d w -the difference between the maximum and centerline velocities.…”

Section: Stagnation Bubbles and Annular Jet Impingementmentioning

confidence: 99%

“…Although the field of jet impingement is extremely rich in the literature ͑see, for example, Martin 11 or Looney and Walsh 12 ͒, only a small number of investigators [13][14][15][16][17] have developed inviscid flow models, thereby enabling separate treatment of the boundary layer. Strand 13 obtained the flow field for potential jet impingement analytically.…”

Section: Introductionmentioning

confidence: 99%

“…Parameswaran 15 used a Green's function method to solve the two-dimensional stream-vorticity equation for impingement of a fully developed turbulent plane jet. Rubel 16,17 developed a model of jet impingement that included turbulent mixing of the jet with the surrounding quiescent fluid by using both the fully developed and developing free jet velocity profiles for the flow into the impingement region. Rubel cast the two-dimensional and axisymmetric stream-vorticity equations into finitedifference form and solved using relaxation techniques.…”

Section: Introductionmentioning

confidence: 99%

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The inviscid impingement of a jet with arbitrary velocity profile

2000

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Accurate determination of wall shear stress and heat and mass transfer rates under an impinging jet requires careful analysis of the boundary layer at the impingement surface due to the large pressure gradients near the stagnation point. Modeling the inviscid flow just outside the boundary layer provides the boundary conditions necessary for such an analysis. Previous inviscid models have considered only a small subset of possible jet velocity profiles and with limited spatial resolution. In the present work, analytical solutions to the stream-vorticity equation for two-dimensional and axisymmetric impingement flow with arbitrary velocity profile are found in terms of a surface integral involving the vorticity function, allowing an iterative determination of the stream function throughout the impingement region. Surface pressure distributions and streamline plots are calculated for various impinging jet configurations, including plane, round, and annular jet nozzles. The calculations show excellent agreement with previous experimental and numerical results, while requiring relatively short computation times. Flow predictions are also made for impinging jet configurations for which no previous data or calculations exist.

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“…The boundary conditions of U I = 0 along the sphere surface and ∂V I /∂β = ∂W I /∂β = ω I = 0 in the equatorial plane cannot be fulfilled by (2.20) and should be satisfied through the presence of local boundary layers. The solution of (2.20) has been discussed in the literature (Rubel 1983;Phares et al 2000), but here it is further complicated by the presence of a recirculation region where the value of the vorticity is unknown, so that equation (2.20) cannot be solved directly, but we need to solve (2.13)-(2.16) instead. Nevertheless the solution as η → ∞ must approach the inflow, so that the outflow asymptotes to…”

Section: )mentioning

confidence: 99%

On the non-parallel instability of the rotating-sphere boundary layer

Segalini

Garrett

2017

J. Fluid Mech.

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We present a new solution for the steady boundary-layer flow over the rotating sphere that also accounts for the eruption of the boundary layer at the equator and other higher-order viscous effects. Non-parallel corrections to the local Type I and Type II convective instability modes of this flow are also computed as a function of spin rate. Our instability results are associated with the previously observed spiral vortices and remarkable agreement between our predictions of the number of vortices and experimental observations is found. Vortices travelling at 70-80% of the local surface speed are found to be the most amplified for sufficient spin rates, also consistent with prior experimental observations.

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Inviscid axisymmetric jet impingement with recirculating stagnation regions

Cited by 21 publications

References 9 publications

The wall shear stress produced by the normal impingement of a jet on a flat surface

The wall shear stress produced by the normal impingement of a jet on a flat surface

The inviscid impingement of a jet with arbitrary velocity profile

On the non-parallel instability of the rotating-sphere boundary layer

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