Symmetry of turbulent boundary-layer flows: Investigation of different eddy viscosity models

Авраменко, А. А.; Kobzar, S. G.; Shevchuk, Igor V.; Кузнецов, А. В.; Iwanisov, L. T.

doi:10.1007/bf01272521

Cited by 38 publications

(16 citation statements)

References 4 publications

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“…Теплообмін в зоні відриву пограничного шару при ламінарному і турбулентному режимах течії з довільним законом зміни швидкості на зовнішній межі пограничного шару теоретично досліджено в роботах [12][13][14]. Отримано закономірності для розрахунку коефіцієнта тепловіддачі в залежності від параметрів потоку та для трьох різних моделей турбулентної (вихрової) в'язкості.…”

Section: теплообмін в градієнтному турбулентному пограничному шаріunclassified

“…У випадку позитивного градієнту тиску коефіцієнт тертя прямує до нуля в точці відриву пограничного шару, але при цьому параметр N прямує до нескінченості. При цьому, згідно (26), коефіцієнт тепловіддачі прямує до величини, яка може бути розрахована по співвідношенню для зони відриву пограничного шару [12,13]. Висновки В роботі представлено математичну модель и дано рішення задачі теплообміну в турбулентному пограничному шарі зі зміною тиску в напрямку течії.…”

Section: рис 2 залежність відносного числа стантона від параметру Nunclassified

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Heat Transfer in Gradient Turbulent Boundary Layer

Авраменко

Kovetskaya

Kondratieva

et al. 2019

ttpe

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Effect of pressure gradient on heat transfer in turbulent boundary layer is constantly investigated during creation and improvement of heat exchange equipment for energy, aerospace, chemical and biological systems. The paper deals with problem of steady flow and heat transfer in turbulent boundary layer with variable pressure in longitudinal direction. The mathematical model is presented and the analytical solution of heat transfer in the turbulent boundary layer problem at positive and negative pressure gradients is given. Dependences for temperature profiles and coefficient of heat transfer on flow parameters were obtained. At negative longitudinal pressure gradient (flow acceleration) heat transfer coefficient can both increase and decrease. At beginning of acceleration zone, when laminarization effects are negligible, heat transfer coefficient increases. Then, as the flow laminarization increases, heat transfer coefficient decreases. This is caused by flow of turbulent energy transfers to accelerating flow. In case of positive longitudinal pressure gradient, temperature profile gradient near wall decreases. It is because of decreasing velocity gradient before zone of possible boundary layer separation.

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Section: теплообмін в градієнтному турбулентному пограничному шаріunclassified

Section: рис 2 залежність відносного числа стантона від параметру Nunclassified

Heat Transfer in Gradient Turbulent Boundary Layer

Авраменко

Kovetskaya

Kondratieva

et al. 2019

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“…EL-Hakiem (2009) analyzed the Lie group technique for the radiation effects on hydromagnetic free convective and mass transfer flow of a gas passing through a circular cylinder with uniform heat and mass flux. Avramenko et al (2001) analyzed the application of Lie group theory to the boundary layers.…”

Section: Introductionmentioning

confidence: 99%

Scaling Transformation for the Effect of Temperature-Dependent Fluid Viscosity with Thermophoresis Particle Deposition on MHD-Free Convective Heat and Mass Transfer Over a Porous Stretching Surface

Kandasamy

Muhaimin

2009

Transp Porous Med

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This article concerns with a steady two-dimensional flow of an electrically conducting incompressible fluid over a vertical stretching sheet. The flow is permeated by a uniform transverse magnetic field. The fluid viscosity is assumed to vary as a linear function of temperature. A scaling group of transformations is applied to the governing equations. The system remains invariant due to some relations among the parameters of the transformations. After finding three absolute invariants, a third-order ordinary differential equation corresponding to the momentum equation, and two second-order ordinary differential equations corresponding to energy and diffusion equations are derived. The equations along with the boundary conditions are solved numerically. It is found that the decrease in the temperature-dependent fluid viscosity makes the velocity to decrease with the increasing distance of the stretching sheet. At a particular point of the sheet, the fluid velocity decreases with the decreasing viscosity but the temperature increases in this case. Impact of thermophoresis particle deposition in the presence of temperature-dependent fluid viscosity plays an important role on the concentration boundary layer. The results, thus, obtained are presented graphically and discussed.

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“…The method of Lie group transformations is used to derive all group-invariant similarity solutions of the unsteady twodimensional laminar boundary layer equations, Yurusoy and Pakdemirli [18] , Yurusoy and Pakdemirli [19] and Avramenko et al [37] . Impact of thermal stratification is an important aspect in heat transfer analyses.…”

Section: Introductionmentioning

confidence: 99%

Solar Radiation Energy Issues on Nanoparticle Shapes in the Potentiality of Water Based Cu, Al2O3 and SWCNTs

Kandasamy

Adnan

Kamarulzaki

et al. 2018

FME

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Energy is an extensive view for industrial advancement. Solar thermal energy is designed by light and heat which is radiated by the sun, in the form of electromagnetic radiation. Solar energy is the highest promptly and sufficiently applicable authority of green energy. Impact of nanoparticle shapes on the Hiemenz nanofluid (water-based Cu, Al2O3 and SWCNTs) flow over a porous wedge surface in view of solar radiation energy has been analyzed. The three classical form of nanoparticle shapes are registered into report, i.e. sphere (m=3.0), cylinder (m=6.3698) and laminar (m=16.1576). Nanoparticles in the water-based Cu, Al2O3 and SWCNTs have been advanced as a means to boost solar collector energy through explicit absorption of the entering solar energy. The controlling partial differential equations (PDEs) are remodeled into ordinary differential equations (ODEs) by applying dependable accordance alteration and it is determined numerically by executing Runge Kutta Fehlberg method with shooting technique. It is anticipated that the lamina shape SWCNTs have dynamic heat transfer attainments in the flow improvement over a porous wedge surface as compared with the other nanoparticle shapes in different nanofluid flow regime.

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Symmetry of turbulent boundary-layer flows: Investigation of different eddy viscosity models

Cited by 38 publications

References 4 publications

Heat Transfer in Gradient Turbulent Boundary Layer

Heat Transfer in Gradient Turbulent Boundary Layer

Scaling Transformation for the Effect of Temperature-Dependent Fluid Viscosity with Thermophoresis Particle Deposition on MHD-Free Convective Heat and Mass Transfer Over a Porous Stretching Surface

Solar Radiation Energy Issues on Nanoparticle Shapes in the Potentiality of Water Based Cu, Al2O3 and SWCNTs

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