Mixed convection in a vertical flat microchannel

Авраменко, А. А.; Tyrinov, A. I.; Shevchuk, Igor V.; Dmitrenko, N.P.; Kravchuk, Alexander V.; Shevchuk, V.I.

doi:10.1016/j.ijheatmasstransfer.2016.10.096

Cited by 31 publications

(17 citation statements)

References 29 publications

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“…In this case, the effect of slippage on heat transfer weakens with the increasing Prandtl number, which can be explained by a decrease in the temperature jump on the wall at large Prandtl numbers. The same trend was also observed at mixed convection in pure fluids in microchannels [17,18], as well as in porous microchannels [24].…”

Section: Heat Transfersupporting

confidence: 77%

“…The given above analysis of the research activities on fluid flow and heat transfer in microchannels performed over the past few years indicates that studies incorporated different geometries of microchannels, namely circular, flat, rectangular, and triangular, and straight and curved, subject to different boundary and initial conditions. In the works [15][16][17][18], the lattice Boltzmann method (LBM) was successfully applied to simulate stationary and accelerated microflows in straight and curved microchannels. The simulations enabled quantifying the effects of the Rayleigh, Prandtl, and Nusselt numbers, as well as slippage on the flow development in circular, flat, and curved microchannels.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Heat transfer and hydrodynamics of slip confusor flow under second-order boundary conditions

Авраменко

Dmitrenko

Shevchuk

2020

J Therm Anal Calorim

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The paper focused on an analytical analysis of the main features of heat transfer in incompressible steady-state flow in a microconfusor with account for the second-order slip boundary conditions. The second-order boundary conditions serve as a closure of a system of the continuity, transport, and energy differential equations. As a result, novel solutions were obtained for the velocity and temperature profiles, as well as for the friction coefficient and the Nusselt number. These solutions demonstrated that an increase in the Knudsen number leads to a decrease in the Nusselt number. It was shown that the account for the second-order terms in the boundary conditions noticeably affects the fluid flow characteristics and does not influence on the heat transfer characteristics. It was also revealed that flow slippage effects on heat transfer weaken with an increase in the Prandtl number.

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Section: Heat Transfersupporting

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Heat transfer and hydrodynamics of slip confusor flow under second-order boundary conditions

Авраменко

Dmitrenko

Shevchuk

2020

J Therm Anal Calorim

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“…Many problems of natural and mixed (natural and forced) convective heat transfer were studied in the literature, which arise from numerous industrial applications [8][9][10]. However, the most widespread modeling approach to them deals with the fluids with constant physical properties or with density described by the ideal-gas Equation (2).…”

Section: Introductionmentioning

confidence: 99%

An Analytical Investigation of Natural Convection of a Van Der Waals Gas over a Vertical Plate

Авраменко

Shevchuk

Kovetskaya

2021

Fluids

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The study focused on a theoretical study of natural convection in a van der Waals gas near a vertical plate. A novel simplified form of the van der Waals equation derived in the study enabled analytical modeling of fluid flow and heat transfer. Analytical solutions were obtained for the velocity and temperature profiles, as well as the Nusselt numbers. It was revealed that nonlinear effects considered by the van der Waals equation of state contribute to acceleration or deceleration of the flow. This caused respective enhancement or deterioration of heat transfer. Results for a van der Waals gas were compared with respective computations using an ideal gas model. Limits of the applicability of the simplified van der Waals equations were pinpointed.

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“…Let us derive integral equations for the case of a real gas considered in this paper and described by the van der Waals equation. To obtain the integral equation of motion, we multiply the continuity Equation ( 9) by the velocity component and add it to the left side of Equation (19). As a result, we have:…”

Section: Integral Forms Of Equationsmentioning

confidence: 99%

“…Heat transfer during natural and mixed convection has been studied extensively. In particular, some works [18][19][20][21][22][23][24] investigated the cases of natural and mixed convection in different geometries for the different ranges of physical parameters in the frames of the ideal gas model. The cases of real gases were considered in the studies [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

An Integral Method for Natural Convection of Van Der Waals Gases over a Vertical Plate

et al. 2021

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This paper focuses on a study of natural convection in a van der Waals gas over a vertical heated plate. In this paper, for the first time, an approximate analytical solution of the problem was obtained using an integral method for momentum and energy equations. A novel simplified form of the van der Waals equation for real gases enabled estimating the effects of the dimensionless van der Waals parameters on the normalized heat transfer coefficients and Nusselt numbers in an analytical form. Trends in the variation of the Nusselt number depending on the nature of the interaction between gas molecules and the wall were analyzed. The results of computations for a van der Waals gas were compared with the results for an ideal gas.

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Mixed convection in a vertical flat microchannel

Cited by 31 publications

References 29 publications

Heat transfer and hydrodynamics of slip confusor flow under second-order boundary conditions

Heat transfer and hydrodynamics of slip confusor flow under second-order boundary conditions

An Analytical Investigation of Natural Convection of a Van Der Waals Gas over a Vertical Plate

An Integral Method for Natural Convection of Van Der Waals Gases over a Vertical Plate

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