Three-parameter turbulence model: Numerical investigation of the boundary layer in a nozzle with gas-film wall cooling

Kovalev, V. I.; Лущик, В. Г.; Sizov, V. I.; Yakubenko, A. E.

doi:10.1007/bf01054170

Cited by 6 publications

(4 citation statements)

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“…The procedure developed and the calculation program were tested in [17] by comparing the results of the calculations with experiments on the gas-film cooling of an axisymmetric Laval nozzle with an adiabatic wall and testing will be continued as new experimental data become available.…”

Section: Nozzles With Gas Film Coolingmentioning

confidence: 99%

“…For the boundary layer with gas-film cooling we assume the following input conditions [17]. The film input section was located at the inlet to the conical subsonic section of the nozzle at a relative distance from the critical throat section Zs =zs/r, = -3.3, the slit height Hs=hs/r , ~-0.014, and the boundary layer builds up on the cylindrical part of the combustion chamber from z ~ = -5.…”

Section: Nozzles With Gas Film Coolingmentioning

confidence: 99%

“…The calculations were carried out in accordance with the ZAVESA program [ 17] using the system of equations (1.1)--(1.4) closed by means of relations (1.5) and the transfer equations for the turbulence characteristics (1.6) of the three-parameter model [13].…”

Section: Nozzles With Gas Film Coolingmentioning

confidence: 99%

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Specific impulse losses due to friction and dispersion in a gas-film cooled liquid rocket engine nozzle

Лущик¹,

Sizov²,

Sternin³

et al. 1993

Fluid Dyn

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The problem of designing the best (optimum) liquid rocket engine (LRE) nozzles was formulated as early as 1931 by Glushko (see [1]).At the beginning of the fifties design offices began using parabolic or circular arc nozzle contours. The variational problem of selecting a nozzle with minimum dispersion losses was first solved in the fifties [2--5]. In [2] the solution of the variational problem was reduced to the numerical integration of a system of differential equations. In [3], independently of [2], a similar system of equations was obtained for a gas with a constant specific heat ratio and an effective means of analytic integration was found. In [4] the same integration was carried out for the generalized case of an arbitrary dependence of pressure on density. The principal result of [4] was repeated in [5]. Below, nozzles designed on the basis of [2--5] are called nozzles with a variational characteristic; they were developed in a number of design offices and used in working engines. In the American literature nozzles with a variational characteristic are called Rao nozzles after the name of the author of [5].At the Institute of Heat Processes (NIITP) in the fifties so-called tnmcated nozzle contours with a uniform characteristic were widely investigated. With respect to its thrust characteristics this one-parameter family of contours is similar to the nozzles obtained by variational methods, which is attributable to two circumstances. Firstly, for plane flows the solution of the variational problem is a truncated nozzle with a uniform characteristic. Secondly, for the axisymmetric case an untruncated nozzle with a uniform characteristic is the limiting solution of the variational problem.The investigation of the dispersion losses for both contour families has shown [6] that axisymmetric nozzles with a variational characteristic are approximately 0.1--0.2% better than truncated nozzles with a uniform characteristic. For short nozzles, as follows from calculations made at the t~nergomash NPO (1970), the difference may be much ~eater.It should be noted that although the dispersion losses, associated with the nonuniformity of the flow in the nozzle exit section, are one of the principal components of the impulse losses in the nozzle, the losses due to friction in the nozzle boundary layer are also important and usually exceed the dispersion losses.Nozzle optimization with allowance for the friction and dispersion losses in the variational formulation is an extremely complex and laborious task. One of the fast attempts was an investigation carried out by the t~nergomash NPO and the Computer Center of the USSR Academy of Sciences (1971), in which the general Lagrangian multiplier method proposed in [7] was employed. As a result of the calculations it was found that friction has only a very weak influence on the optimum contour.In the research carried out at the NI1TP [6] using direct calculation methods, without solving the variational problem, it was shown that the optimum contours having minimum friction and d...

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Section: Nozzles With Gas Film Coolingmentioning

confidence: 99%

Section: Nozzles With Gas Film Coolingmentioning

confidence: 99%

See 1 more Smart Citation

Specific impulse losses due to friction and dispersion in a gas-film cooled liquid rocket engine nozzle

Лущик¹,

Sizov²,

Sternin³

et al. 1993

Fluid Dyn

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“…Later, this model was extended to the calculation of heat exchange and supersonic shear flows [8,9] . Over the past 10 years a great many results have been published describing the calculation of turbulent shear flows [10][11][12][13][14][15] with the use of the turbulence model proposed in [6][7][8][9] .…”

Section: Introductionmentioning

confidence: 99%

Turbulent flows. Models and numerical investigations. A review

Luschik¹,

Pavel'ev²,

Yakubenko³

1994

Fluid Dyn

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Russian papers on differential models of turbulence and numerical simulation of nonequilibrium turbulent flows of liquids, gases, and conducting media, published for the most part in this journal over the last 10-15 years, are reviewed .The turbulence models considered in this review are based on Kolmogorovt ideas, which generated a new approach to the mathematical modeling of turbulent flows consisting in the use of transport equations for the turbulence properties . The subsequent development of these models was due to the emergence of computers which made it possible to change over from a qualitative analysis in particular regions to obtaining quantitative results with the influence of viscosity and also such effects as diffusion and convection, taken directly into account in the mathematical simulation of turbulent flows .In this review the models are selected in accordance with the following criteria . 1 . Only differential models are considered, that is models in which transport equations are used for the main turbulence properties : the turbulence energy, shear stress or the turbulent viscosity and a parameter involving the integral turbulence scale . According to the number of the transport equations the models are classified as one-, two-, or three-parameter. The application of the models is restricted to flows for which the boundary layer approximation holds true .2 . The models must have been put to practical use in the analysis of particular flows, and their most efficient areas of application specified . The models must have been tested by comparison with the most reliable experimental data . The models must be highly universal, thus making it possible, without adjusting the constants entering into the model, to take into account the inlet and boundary conditions, the variations of the physical properties of the medium, and external influences .The review aims to demonstrate the potential of the turbulence models considered in relation to a wide variety of flows in boundary layers and channels, and also to draw them to the attention of users and researchers developing scientific and applied computational programs for the description and control of devices with complicated working processes in aviation and space technology, and other areas.

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Influence of corrugated jet plates on internal heat transfer and flow dynamics of double-wall cooling: experimental-numerical approach

Kong,

Bi,

et al. 2024

Applied Thermal Engineering

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Three-parameter turbulence model: Numerical investigation of the boundary layer in a nozzle with gas-film wall cooling

Cited by 6 publications

References 1 publication

Specific impulse losses due to friction and dispersion in a gas-film cooled liquid rocket engine nozzle

Specific impulse losses due to friction and dispersion in a gas-film cooled liquid rocket engine nozzle

Turbulent flows. Models and numerical investigations. A review

Influence of corrugated jet plates on internal heat transfer and flow dynamics of double-wall cooling: experimental-numerical approach

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