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Surface and buoyancy driven free convection

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TLDR
In this paper, a system of two interfacing immiscible fluids subject to an imposed temperature difference in a gravity field is considered, and an order of magnitude analysis is applied to determine: (i) the types of flow regimes that can be attained in natural, Marangoni or combined free convection; (ii) how the problem's data identify which type of free convective and of flow regime prevails in each specific case.
Abstract
A system of two interfacing immiscible fluids subject to an imposed temperature difference in a gravity field is considered. The fluids, the gravity level, the temperature difference and the extension of the interface are arbitrary. An order of magnitude analysis is applied to determine: (i) the types of flow regimes that can be attained in natural, Marangoni or combined free convection; (ii) how the problem's data identify which type of free convection and of flow regime prevails in each specific case.

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Liquid Sloshing Dynamics

TL;DR: In this article, the authors present a detailed review of liquid sloshing dynamics in rigid containers, including linear forced and non-linear interaction under external and parametric excitations.
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Similarity solutions for MHD thermosolutal Marangoni convection over a flat surface in the presence of heat generation or absorption effects

TL;DR: In this article, the authors studied the effect of a first-order chemical reaction on the steady, laminar, thermosolutal Marangoni convection flow of an electrically-conducting fluid along a vertical permeable surface in the presence of a magnetic field, heat generation or absorption and a first order chemical reaction effects.
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Exact analytical results for the thermosolutal MHD Marangoni boundary layers

TL;DR: In this article, the steady laminar magnetohydrodynamic (MHD) thermosolutal Marangoni convection in the presence of a uniform applied magnetic field is considered in the boundary layer approximation.
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Thermocapillary convection in long horizontal layers of low-Prandtl-number melts subject to a horizontal temperature gradient

TL;DR: In this article, a broad range of values of the Reynolds-Marangoni number, Re, is considered for three values of aspect ratio (A = length/height) for thermocapillary convection arising in small-depth layers subject to a horizontal temperature gradient.
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Exact analysis for the effect of heat transfer on MHD and radiation Marangoni boundary layer nanofluid flow past a surface embedded in a porous medium

TL;DR: In this article, the influence of the velocity profile and temperature distribution for the present nanofluids was investigated under effect of the involved parameters, and the exact solutions of the resulted equations were solved using a new approach via Laplace transform.
References
More filters
Book

Liquid Sloshing Dynamics

TL;DR: In this article, the authors present a detailed review of liquid sloshing dynamics in rigid containers, including linear forced and non-linear interaction under external and parametric excitations.
Journal ArticleDOI

Similarity solutions for MHD thermosolutal Marangoni convection over a flat surface in the presence of heat generation or absorption effects

TL;DR: In this article, the authors studied the effect of a first-order chemical reaction on the steady, laminar, thermosolutal Marangoni convection flow of an electrically-conducting fluid along a vertical permeable surface in the presence of a magnetic field, heat generation or absorption and a first order chemical reaction effects.
Journal ArticleDOI

Exact analytical results for the thermosolutal MHD Marangoni boundary layers

TL;DR: In this article, the steady laminar magnetohydrodynamic (MHD) thermosolutal Marangoni convection in the presence of a uniform applied magnetic field is considered in the boundary layer approximation.
Journal ArticleDOI

Thermocapillary convection in long horizontal layers of low-Prandtl-number melts subject to a horizontal temperature gradient

TL;DR: In this article, a broad range of values of the Reynolds-Marangoni number, Re, is considered for three values of aspect ratio (A = length/height) for thermocapillary convection arising in small-depth layers subject to a horizontal temperature gradient.
Journal ArticleDOI

Exact analysis for the effect of heat transfer on MHD and radiation Marangoni boundary layer nanofluid flow past a surface embedded in a porous medium

TL;DR: In this article, the influence of the velocity profile and temperature distribution for the present nanofluids was investigated under effect of the involved parameters, and the exact solutions of the resulted equations were solved using a new approach via Laplace transform.