Transfer equation for turbulent heat flux. Calculation of heat exchange in a pipe

Лущик, В. Г.; Pavel'ev, A. A.; Yakubenko, A. E.

doi:10.1007/bf01051816

Cited by 12 publications

(6 citation statements)

References 2 publications

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“…The results obtained in [8,9,43] agree well with experiment . This confirms the efficiency of the differential models [7,23] for calculating nonsimilarity solutions with heat exchange .…”

Section: Channel Flowssupporting

confidence: 92%

“…In the second approach [9] q, was determined using a transport equation, which made it possible to abandon the assumption of constant Pr, . The constants in the equation for q, were determined by analyzing the experimental and analytical results for the flow past a mesh with constant velocity and temperature shear and developed heat exchange in the tube, and also by numerical optimization .…”

Section: Channel Flowsmentioning

confidence: 99%

“…The constants a, and b, were determined using the theory of rapid deformation developed in [18] . In [8,9] two approaches were considered for the calculation of the turbulent heat flux pq,= pcD(v Ti) .…”

Section: Channel Flowsmentioning

confidence: 99%

“…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%

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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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“…The results obtained in [8,9,43] agree well with experiment . This confirms the efficiency of the differential models [7,23] for calculating nonsimilarity solutions with heat exchange .…”

Section: Channel Flowssupporting

confidence: 92%

Section: Channel Flowsmentioning

confidence: 99%

Section: Channel Flowsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Turbulent flows. Models and numerical investigations. A review

Luschik¹,

Pavel'ev²,

Yakubenko³

1994

Fluid Dyn

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is the objective of this study to perform a numerical investigation of a compressible boundary layer with suction on a heatinsulated permeable plate in a wide range of values of suction parameter and Prandtl number using the differential model of turbulence [4,8,9]. …”

Section: Introductionmentioning

confidence: 99%