Thermal boundary-layer structure in laminar horizontal convection

Bo, Yan; Shishkina, Olga; He, Xiaozhou

doi:10.1017/jfm.2021.226

Cited by 6 publications

(4 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Most studies consider differential heating of the bottom boundary (Mullarney, Griffiths & Hughes 2004; Wang & Huang 2005; Sanmiguel Vila et al. 2016; Shishkina 2017; Yan, Shishkina & He 2021), which results in unstable vertical stratification and horizontal convective flow accompanied by buoyant convection. However, the flow can also be driven by non-uniform heating of the liquid free surface or the top wall of the cavity (Kurosaki et al.…”

Section: Introductionmentioning

confidence: 99%

“…When non-uniform heating or cooling is supplied along one of the horizontal boundaries of the liquid layer, horizontal natural convection develops (Rossby 1965;Hughes & Griffiths 2008). Most studies consider differential heating of the bottom boundary (Mullarney, Griffiths & Hughes 2004;Wang & Huang 2005;Sanmiguel Vila et al 2016;Shishkina 2017;Yan, Shishkina & He 2021), which results in unstable vertical stratification and horizontal convective flow accompanied by buoyant convection. However, the flow can also be driven by non-uniform heating of the liquid free surface or the top wall of the cavity (Kurosaki et al 1989;Ẇhlin et al 2016;Vinnichenko et al 2018b;Noto et al 2021) or by non-uniform cooling of the bottom (Mori & Niino 2002).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Horizontal convective flow from a line heat source located at the liquid–gas interface in presence of surface film

et al. 2022

View full text Add to dashboard Cite

Development of the convective flow from a line heat source located at the liquid surface is studied for the case when thermocapillary convection is inhibited by the surface film. Surface film is formed by small amounts of surfactants present in non-deionized (distilled or natural) water. It imposes a no-slip boundary condition for velocity at the surface and determines the fluid dynamics of the surface layer. For the heat source located at the surface, the vertical stratification is stable and the flow is driven by a horizontal pressure gradient, formed by non-uniform heating of the liquid along the surface. Experimental studies include measurements of velocity fields using particle image velocimetry, surface relief measurements using moon-glade background oriented Schlieren and surface temperature measurements using infrared thermography. Also, numerical simulations of the flow development are performed and a new similarity solution for the steady state in a laterally unbounded domain is constructed, which takes into account the pressure gradient. The results are shown to be in good agreement with experimental data. The obtained dependencies of the maximal velocity, boundary layer thickness, local and total Nusselt numbers on the Rayleigh number are consistent with literature data obtained for the non-uniformly heated bottom case, which demonstrates universal properties of horizontal convection.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Horizontal convective flow from a line heat source located at the liquid–gas interface in presence of surface film

et al. 2022

View full text Add to dashboard Cite

show abstract

“…2021 b ). In horizontal convection, where the flow is asymmetric, equations of the mean temperature profiles were derived near the hot and cold BLs, respectively, based on the LSC structure of the fluid (Yan, Shishkina & He 2021). The predicted temperature equations have been extensively tested in experiments and DNS over a wide range of parameters for no-slip surfaces.…”

Section: Introductionmentioning

confidence: 99%

“…Equations of the temperature variance profiles for different Pr were derived near the thermal BL (Wang, He & Tong 2016;Xu et al 2021), in the mixing zone (Wang et al 2018) and in the log layer (He, Bodenschatz & Ahlers 2021a;He et al 2021b). In horizontal convection, where the flow is asymmetric, equations of the mean temperature profiles were derived near the hot and cold BLs, respectively, based on the LSC structure of the fluid (Yan, Shishkina & He 2021). The predicted temperature equations have been extensively tested in experiments and DNS over a wide range of parameters for no-slip surfaces.…”

Section: Introductionmentioning

confidence: 99%

Heat transport and temperature boundary-layer profiles in closed turbulent Rayleigh–Bénard convection with slippery conducting surfaces

et al. 2022

Self Cite

View full text Add to dashboard Cite

We report direct numerical simulations (DNS) of the Nusselt number $Nu$ , the vertical profiles of mean temperature $\varTheta (z)$ and temperature variance $\varOmega (z)$ across the thermal boundary layer (BL) in closed turbulent Rayleigh–Bénard convection (RBC) with slippery conducting surfaces ( $z$ is the vertical distance from the bottom surface). The DNS study was conducted in three RBC samples: a three-dimensional cuboid with length $L = H$ and width $W = H/4$ ( $H$ is the sample height), and two-dimensional rectangles with aspect ratios $\varGamma \equiv L/H = 1$ and $10$ . The slip length $b$ for top and bottom plates varied from $0$ to $\infty$ . The Rayleigh numbers $Ra$ were in the range $10^{6} \leqslant Ra \leqslant 10^{10}$ and the Prandtl number $Pr$ was fixed at $4.3$ . As $b$ increases, the normalised $Nu/Nu_0$ ( $Nu_0$ is the global heat transport for $b = 0$ ) from the three samples for different $Ra$ and $\varGamma$ can be well described by the same function $Nu/Nu_0 = N_0 \tanh (b/\lambda _0) + 1$ , with $N_0 = 0.8 \pm 0.03$ . Here $\lambda _0 \equiv L/(2Nu_0)$ is the thermal boundary layer thickness for $b = 0$ . Considering the BL fluctuations for $Pr>1$ , one can derive solutions of temperature profiles $\varTheta (z)$ and $\varOmega (z)$ near the thermal BL for $b \geqslant 0$ . When $b=0$ , the solutions are equivalent to those reported by Shishkina et al. (Phys. Rev. Lett., vol. 114, 2015, 114302) and Wang et al. (Phys. Rev. Fluids, vol. 1, 2016, 082301(R)), respectively, for no-slip plates. For $b > 0$ , the derived solutions are in excellent agreement with our DNS data for slippery plates.

show abstract

Transition of natural convection on a cooled circular surface with heated annular extension

Qiao,

Gao,

et al. 2024

International Communications in Heat and Mass Transfer

View full text Add to dashboard Cite

Thermal boundary-layer structure in laminar horizontal convection

Abstract: Abstract

Cited by 6 publications

References 41 publications

Horizontal convective flow from a line heat source located at the liquid–gas interface in presence of surface film

Horizontal convective flow from a line heat source located at the liquid–gas interface in presence of surface film

Heat transport and temperature boundary-layer profiles in closed turbulent Rayleigh–Bénard convection with slippery conducting surfaces

Transition of natural convection on a cooled circular surface with heated annular extension

Contact Info

Product

Resources

About