Stability Effects of Heat and Mass Transfer on Thin Liquid Films PDF Download
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Author: Harry Anderson
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Category :
Languages : en
Pages :
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Author: Harry Anderson
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
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ISBN:
Category :
Languages : en
Pages : 5
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The objective of this work continues to be the study of dynamics, stability, and rupture (including contact line motions) of thin liquid films, especially with heat and/or mass transfer. Following the publication of a comprehensive paper on thin-film stability and rupture, taking into account evaporation (condensation), thermocapillarity, surface tension, vapor recoil, van der Waals forces, and mass loss (gain), two follow-up papers have appeared. The first examines the conditions for a non-uniformly-heated liquid film to rupture, owing to thermocapillarity, while the second reports experimental results in excellent agreement with the theory on non-isothermal free-surface problems. Another paper extends some previous results to the case where the viscosity of the liquid is a function of temperature. By proper rescaling, it is shown that the evolution equation can be transformed into the constant-viscosity case, so that previous results can be applied directly. Another paper considers the nonlinear growth, steepening, and wavebreaking of an isothermal thin liquid film draining down an inclined plate. The competition between mean flow and evaporation gives important morphological changes that control the heat-transfer process in the wavy regime. A number of other results were obtained. 9 refs.
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Languages : en
Pages : 18
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The objective of this summer research was to examine heat transfer in thin liquid films. A successful formulation was accomplished on the effect of electrostatic field on the stability of isothermal non-evaporating thin films and on the heat transfer in evaporating thin films. Here, the coupling of the electrostatic field with the fluid dynamics was accomplished through the interfacial boundary condition only. The weakness of this approach lies in the fact that the body forces due to the electrical field are ignored in the equation of motion and the work terms are not included in the conservation law for energy balance. Lastly, a general formulation including the electric field and Van der Waals forces between a solid surface and the fluid in the Navier Stokes equation was written but not applied to a particular geometry. A thorough literature search reveals that analysis that includes these effects has not been undertaken until now. The governing equations for the fluid as well as the electrical field are given for the previously mentioned two problems.
Author: Tatiana Gambaryan-Roisman
Publisher:
ISBN:
Category :
Languages : en
Pages : 224
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 5
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Book Description
The objective of this work continues to be the study of dynamics, stability, and rupture (including contact line motions) of thin liquid films, especially with heat and/or mass transfer. Following the publication of a comprehensive paper on thin-film stability and rupture, taking into account evaporation (condensation), thermocapillarity, surface tension, vapor recoil, van der Waals forces, and mass loss (gain), two follow-up papers have appeared. The first examines the conditions for a non-uniformly-heated liquid film to rupture, owing to thermocapillarity, while the second reports experimental results in excellent agreement with the theory on non-isothermal free-surface problems. Another paper extends some previous results to the case where the viscosity of the liquid is a function of temperature. By proper rescaling, it is shown that the evolution equation can be transformed into the constant-viscosity case, so that previous results can be applied directly. Another paper considers the nonlinear growth, steepening, and wavebreaking of an isothermal thin liquid film draining down an inclined plate. The competition between mean flow and evaporation gives important morphological changes that control the heat-transfer process in the wavy regime. A number of other results were obtained. 9 refs.
Author: S. Kalliadasis
Publisher: Springer Science & Business Media
ISBN: 1848823673
Category : Mathematics
Languages : en
Pages : 446
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Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar inclined substrate. This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It will also be of use for a more general understanding of specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. Particular emphasis is given to low-dimensional approximations for such flows through a hierarchy of modeling approaches, including equations of the boundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experiment is illustrated, and, as a further bridge between the two, the development of order-of-magnitude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics. This monograph will appeal to advanced graduate students in applied mathematics, science or engineering undertaking research on interfacial fluid mechanics or studying fluid mechanics as part of their program. It will also be of use to researchers working on both applied, fundamental theoretical and experimental aspects of thin film flows, as well as engineers and technologists dealing with processes involving isothermal or heated films. This monograph is largely self-contained and no background on interfacial fluid mechanics is assumed.
Author: Thomas Edward Hinkebein
Publisher:
ISBN:
Category : Liquid films
Languages : en
Pages : 326
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Author:
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Category :
Languages : en
Pages : 6
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The objective of this work continues to be the study of the dynamics, stability and rupture of thin liquid films, especially with heat and/or mass transfer. These films appear in many engineering processes, such as film coating, gas absorption, condensation, and especially cooling of hot surfaces. Surface waves may be detrimental, leading to film breakdown, with consequent equipment overheating, or beneficial, as when mass transfer coefficients are increased.
Author: Prakash B. Joshi
Publisher:
ISBN:
Category :
Languages : en
Pages : 422
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Author: Igor Bykadorov
Publisher: Springer Nature
ISBN: 3030333949
Category : Computers
Languages : en
Pages : 606
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Book Description
This book constitutes revised and selected papers from the 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019. The 40 full papers and 4 short papers presented in this volume were carefully reviewed and selected from a total of 170 submissions. The papers in the volume are organised according to the following topical headings: ​combinatorial optimization; game theory and mathematical economics; data mining and computational geometry; integer programming; mathematical programming; operations research; optimal control and applications.
