Turbulent flow in the boundary layer and in tubes

Millionshchikov, M. D.

doi:10.1007/bf01403913

At Energy

1970

DOI: 10.1007/bf01403913

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Turbulent flow in the boundary layer and in tubes

M. D. Millionshchikov¹

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Cited by 15 publications

(7 citation statements)

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“…We have the following relations for the distribution of kinematic eddy viscosity, in accordance with [6,7]: %'t1%'=0, h~6~/6 +, %'r/%'= 0,39(h8--6~)(1--~]), I]>85/8 + ,…”

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confidence: 83%

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Heat exchange on a thermal initial section in the evaporation of turbulent falling liquid films

Sobin

Shcherbakov

Karpov

1983

Journal of Engineering Physics

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“…We have the following relations for the distribution of kinematic eddy viscosity, in accordance with [6,7]: %'t1%'=0, h~6~/6 +, %'r/%'= 0,39(h8--6~)(1--~]), I]>85/8 + ,…”

mentioning

confidence: 83%

“…Two values, 7.8 and 11.6, are used for the dimensionless thickness of the viscous sublayer in the calculations below. The value of 7.8 was recommended in [6], while the value of 11.6 is normally used in 5oundary-iayer theory.…”

mentioning

confidence: 99%

Heat exchange on a thermal initial section in the evaporation of turbulent falling liquid films

Sobin

Shcherbakov

Karpov

1983

Journal of Engineering Physics

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“…With account for (3), for constant thermophysical properties of the fluid we have Figure 1 compares the calculated and experimental values of the turbulent friction stress [6,7]. It shows that they strongly change for Y + < 20; we observe a gradual increase in this quantity in the interval 20 < Y + < 60 and a slight increase for Y + > 60.…”

mentioning

confidence: 90%

“…1. Distribution of the turbulent friction stress in the wall region of the boundary layer: 1) experimental data of Laufer [6]; 2) the same, of Schubauer [7]; curve, calculation from Eq. (6).…”

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confidence: 99%

Determination of the site of generation of additional turbulence in the wall part of a flow for variable thermophysical properties of the fluid

Kelbaliev

2004

J Eng Phys Thermophys

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A theoretical method of finding the thickness of the wall layer when an artificial turbulizer is installed in the flow is proposed. The site of location of the turbulizer is determined for maximum intensification of heat exchange in the case of constant and variable thermophysical properties of the fluid. It is established that incorrect selection of the site improves the heat transfer only slightly due to the growth in hydraulic resistance.Intensification of the process of heat exchange is used to maintain the permissible temperature regime of equipment during its operation and to create small-size apparatuses and is also used in different technological processes. Numerous works [1-3] are devoted to this subject. To intensify the transfer of heat from the wall to the fluid and conversely it is necessary to generate additional turbulence in the wall part of the flow. Of great interest is to study this process for fluids of supercritical pressure (SCP). Substances at SCP are widely used in thermal power stations and for cooling of a high-temperature surface. In the objects in question, the fluid is used in a heated state in the first case and in a cold state in the second case.A distinctive feature of the critical state of a fluid is a significant and diverse change in the thermophysical properties. Thus, the density and viscosity of the fluid sharply decrease, the heat capacity and the coefficient of volumetric expansion attain their maximum values, and the surface-tension force and the heat of evaporation tend to zero.Experimental investigations of convective heat exchange have shown that it produces a change in the forces in the fluid, acceleration or deceleration of the flow, and thermoacoustic pressure self-oscillations and free convection. These effects can finally result in a reorganization of the flow and a change in the transfer of heat in the longitudinal and transverse directions.In motion of the heat-transfer agent in a pipe, a near-critical state is attained between the wall and the pipe axis. In cooling of a high-temperature surface, the temperature of the wall is higher than the critical temperature, and that of the fluid on the pipe axis is lower (t w > t cr and t fl < t cr ). The structure of the flow and hence the intensity of convective heat exchange will depend on the site of location of this region on the cross section of the flow. Experimental investigations have proved that different regimes of convective heat exchange (of normal, improved, and impaired heat transfer) can exist at the SCP of the fluid.In the work proposed, we consider the possibility of solving the process of intensification of heat exchange for a fluid flow with variable thermophysical properties.Experimental data on determination of the velocity and temperature profiles and the turbulent coefficients of transfer for variable properties of the fluid are lacking in the literature. Those available mainly refer to substances that are far from the critical state, where the thermophysical properties change monotonically and rela...

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“…(iI)~ allowing for Eqs. ( 6) and (15) for Re** = 2.103 and Re** = 104 , respectively; experiment: 5) [2]; 6) [6].…”

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confidence: 99%

Improvement of the limiting relative friction law on a permeable plate with blown gas

Leont'ev

Puzach

Nabatov

1983

Journal of Engineering Physics

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part of the recycled material entering the jet; Qp, part of the recycled material entering the bulk; Qc, suspension flow rate; oj, p, distribution densities in the jet and bulk, respectively; r, particle radius; S, particle surface; V, particle volume; t, time; ~, fraction of recycled material supplied to the jet; nun, product unloading rate; np, recycled-material supply rate; Ti, instant i of the instantaneous recycled material loading; ~.., instant j of instantaneous product unloading; Qp, Qun' flow rates of the recycled materiJal and the final product;No, initial number of particles in the apparatus; AQp, AQun, volumes of the recycled material and product supplied to and withdrawn from the apparatus at a fixed instant. LITERATURE CITED i. O.M. Todes, Yu. Ya. Kaganovich, S. P. Nalimov, et al., Fluidized-Bed Solution Dewatering [in Russian], Metallurgiya, Moscow (1973). 2. V. E. Babenko, A. A. Oigenblik, G. N. Gavrilov, et al., "A mathematical model for dewatering and granulation in a fluidized bed," Teor. Osn. Khim. Tekhnol., No. 6, 837-845 (1969). 3. P.G. Romankov and N. B. Rashkovskaya, Fluidized-State Drying [in Russian], Khimiya, Leningrad (1968). 4. G.A. Minaev, A Study of Jet Flows in a Granular Bed: Theoretical Principles for Calculating and Designing Equipments Containing Dispersed Solid Phases [in Russian], Moscow (1977). 5.G.A. Minaev, A. S. Sukhov, and A. N. Tsetovich, "Granulating food yeasts in a fluidizedbed apparatus," Gidroliznoe Proizvod., No. 4, 4-6 (1981).

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Turbulent flow in the boundary layer and in tubes

Cited by 15 publications

References 2 publications

Heat exchange on a thermal initial section in the evaporation of turbulent falling liquid films

Heat exchange on a thermal initial section in the evaporation of turbulent falling liquid films

Determination of the site of generation of additional turbulence in the wall part of a flow for variable thermophysical properties of the fluid

Improvement of the limiting relative friction law on a permeable plate with blown gas

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