Compressible turbulent boundary layers with heat addition by homogeneous condensation

Schnerr, Günter; Bohning, R.; Breitling, Thomas; Jantzen, Hans-Arno

doi:10.2514/3.11062

Cited by 30 publications

(7 citation statements)

References 9 publications

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“…The values of pressure used in the momentum equation are With the surrounding vapour conditions regarded as calculated from the density at the next downstream point constant, the only variables on the right-hand side of but with a correction factor to reduce the biasing. equation (14) are r, T L and h L . Writing h L in terms of The actual sequence in which the variables are updates T L and using equation (11) to substitute for T L in equais as follows: tion (14), the resulting expression can be integrated analytically to give 1.…”

Section: Wetness Lossesmentioning

confidence: 99%

“…equation (14) are r, T L and h L . Writing h L in terms of The actual sequence in which the variables are updates T L and using equation (11) to substitute for T L in equais as follows: tion (14), the resulting expression can be integrated analytically to give 1. The density is updated from the continuity equation.…”

Section: Wetness Lossesmentioning

confidence: 99%

“…In cases where the changes in T L are sufficiently gradual for the use of average values to be permissible the procedure can be simplified considerably. By assuming that all fluid properties except r remain constant at their mean values, equation (14) can be integrated directly. The resulting expression is a quadratic in r which can be solved analytically to give r=−1.59ĺ+ C (1.59ĺ)2+r 1 (r 1 +3.18ĺ) Fig.…”

Section: Wetness Lossesmentioning

confidence: 99%

“…To apply the above conservation equations to two-phase flows they have to be combined with equations (10) and (14) in Appendix 1 describing droplet formation and 2 OUTLINE OF THE TREATMENT growth and solved simultaneously. An important difference between the two families of equations is that those As already indicated, to describe the behaviour of twophase flows the equations describing droplet behaviour describing droplet formation and growth are stiff and have to be integrated over much shorter time intervals.…”

Section: Introductionmentioning

confidence: 99%

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On the performance of a cascade of turbine rotor tip section blading in nucleating steam Part 3: Theoretical treatment

Bakhtar

Mahpeykar²

1997

Proceedings of the Institution of Mechanical Engineers, Part C:

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During the course of expansion in turbines, steam first supercools and then nucleates to become a two-phase mixture. Formation and subsequent behaviour of the liquid lower the performance of turbine wet stages. This is an area where greater understanding can lead to improved design. This paper describes the theoretical part of an investigation into nucleating flows of steam in a cascade of turbine rotor tip section blading. The main flow field is regarded as inviscid and treated by the time-marching technique modified to allow for two-phase effects. The viscous effects are assumed to be concentrated in boundary layers which are treated by the integral method. Comparisons are carried out with the experimental measurements presented in the earlier parts of the paper and the agreement obtained is good.

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Section: Wetness Lossesmentioning

confidence: 99%

Section: Wetness Lossesmentioning

confidence: 99%

Section: Wetness Lossesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the performance of a cascade of turbine rotor tip section blading in nucleating steam Part 3: Theoretical treatment

Bakhtar

Mahpeykar²

1997

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Comparisons of ͑a͒ temperature and ͑b͒ mole fraction of CH4 , y CH 4 , between PTM and LAM under a dry-flow condition. ͗T͘ Laminar is an averaged temperature along the IR laser light path incorporating the effect of the laminar boundary layer and assuming that the temperature at the center of the flow is equal to that derived from the pressure trace measurement T PTM .…”

mentioning

confidence: 99%

Temperature and gas-phase composition measurements in supersonic flows using tunable diode laser absorption spectroscopy: The effect of condensation on the boundary-layer thickness

Tanimura

Zvinevich

Wyslouzil

et al. 2005

The Journal of Chemical Physics

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We used a tunable diode laser absorption spectrometer and a static-pressure probe to follow changes in temperature, vapor-phase concentration of D2O, and static pressure during condensation in a supersonic nozzle. Using the measured static-pressure ratio p/p0 and the mass fraction of the condensate g as inputs to the diabatic flow equations, we determined the area ratio (A/A*)wet and the corresponding centerline temperature of the flow during condensation. From (A/A*)wet we determined the boundary-layer displacement thickness during condensation (delta#)wet. We found that (delta#)wet first increases relative to the value of delta# in a dry expansion (delta#)Dry before becoming distinctly smaller than (delta#)Dry downstream of the condensation region. After correcting the temperature gradient across the boundary layers, the temperature determined from p/p0 and g agreed with the temperature determined by the laser-absorption measurements within our experimental error (+/-2 K), except when condensation occurred too close to the throat. The agreement between the two temperature measurements let us draw the following two conclusions. First, the differences in the temperature and mole fraction of D2O determined by the two experimental techniques, first observed in our previous study [P. Paci, Y. Zvinevich, S. Tanimura, B. E. Wyslouzil, M. Zahniser, J. Shorter, D. Nelson, and B. McManus, J. Chem. Phys. 121, 9964 (2004)], can be explained sufficiently by changes in delta# caused by the condensation of D2O, except when the phase transition occurs too close to the throat. Second, the extrapolation of the equation, which expresses the temperature dependence of the heat of vaporization of bulk D2O liquid, is a good estimate of the heat of condensation of supercooled D2O down to 210 K.

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J5 Spontane Kondensation und Aerosolbildung

Ehrler¹,

Schaber²

2013

VDI-Wärmeatlas

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Compressible turbulent boundary layers with heat addition by homogeneous condensation

Cited by 30 publications

References 9 publications

On the performance of a cascade of turbine rotor tip section blading in nucleating steam Part 3: Theoretical treatment

On the performance of a cascade of turbine rotor tip section blading in nucleating steam Part 3: Theoretical treatment

Temperature and gas-phase composition measurements in supersonic flows using tunable diode laser absorption spectroscopy: The effect of condensation on the boundary-layer thickness

J5 Spontane Kondensation und Aerosolbildung

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