A sharp interface approach for cavitation modeling using volume-of-fluid and ghost-fluid methods

Michael, Thad; Yang, Jianming; Stern, Frederick

doi:10.1016/s1001-6058(16)60806-5

Cited by 11 publications

(5 citation statements)

References 16 publications

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“…where is the liquid/solid temperature, is the melting temperature, ″ is the liquid/solid heat flux vector evaluated at the solid/liquid interface, is the density of the solid phase, is the latent heat of melting, is the 'coordinate velocity' at the interface [5], is a vector normal to the interface, but not necessarily of unit magnitude, and the subscripts and denote the liquid and solid phases, respectively.…”

Section: Mathematical Analysismentioning

confidence: 99%

“…One can use the following terminology so as to be able to employ the methods of Tensor Calculus, ( , , ) → ( 1 , 2 , 3 ) or simply (4) ( , , ) → ( 1 , 2 , 3 ) or simply (5) The liquid-solid interface is in general a three-dimensional surface and in a curvilinear coordinate system it can be defined as,…”

Section: Mathematical Analysismentioning

confidence: 99%

“…( , , ) → ( 1 , 2 , 3 ) or simply (5) The liquid-solid interface is in general a three-dimensional surface and in a curvilinear coordinate system it can be defined as,…”

Section: Mathematical Analysismentioning

confidence: 99%

“…In phase change problems, such as evaporation or condensation, there were two-way coupling of momentum, heat and species transfer took place. In formulating the interfacial conditions for phase change problem, such as cavitation problem, a sharp interface approach incorporating the volume-of-fluid and ghost-fluid methods was demonstrated to be very effective Michael et al [5]. However, the level set function should be constructed from the volume fraction function.…”

Section: Introductionmentioning

confidence: 99%

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An Approach for Interface Condition of Phase-Change Heat Conduction in Curvilinear Coordinates

Mansoor

Yilbaş

2020

Journal of Thermal Engineering

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Phase change materials are vastly used in thermal engineering applications. The model studies reduce the experimental time and cost and gives insight into the physical process and and provides relation between the process outcomes and the influencing parameters on the process. One of the challenges in the model study related to the phase change problem is setting the appropriate boundary conditions across the phases. This is because of the fictitious definition of the mush zone across the phases. This situation becomes complicated when setting the boundary conditions across the odd geometric shapes. In this study, mathematical formulation of the condition for energy-balance at the interface of the phase changing is investigated using the curvilinear coordinate system without requiring the coordinate system. The proposed arrangement enables to create a curvilinear system via transformation equations from another curvilinear coordinate system. It also provides mathematical formulation of the interfacial boundary conditions across the phases.

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Section: Mathematical Analysismentioning

confidence: 99%

Section: Mathematical Analysismentioning

confidence: 99%

“…( , , ) → ( 1 , 2 , 3 ) or simply (5) The liquid-solid interface is in general a three-dimensional surface and in a curvilinear coordinate system it can be defined as,…”

Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Approach for Interface Condition of Phase-Change Heat Conduction in Curvilinear Coordinates

Mansoor

Yilbaş

2020

Journal of Thermal Engineering

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“…The effect of ultrasound on generating and controlling the cavitation bubble of the grinding fluid during ultrasonic vibration honing was investigated [7]. In paper [8] a novel sharp interface approach for modeling the cavitation phenomena in incompressible viscous flows is described.…”

Section: Literature Reviewmentioning

confidence: 99%

Increasing of Equipment Efficiency by Intensification of Technological Processes

Фесенко

Basova

Іванов

et al. 2018

Period. Polytech. Mech. Eng.

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Issues of technological processes’ intensification and increase of technological equipment efficiency are of priority value in the modern engineering. Application of various methods of hydrodynamic drag on the working fluids in rotary-wheel machines allows increasing of processing efficiency to receive finely-dispersed homogeneous mixtures with necessary characteristics. In this article the issues, connected with the liquid flows' formation in the working zone of rotary-cavitating activator are studied and the main principles of energy impact while the usage of rotor with radial channels, supplied with the elements for receiving cavitating effects, are defined. Based on the offered methodology, experimental research was conducted and calculations of the main indexes, defining efficiency of energy impact on the working medium, were held. The substantiated estimation of efficiency of hydrodynamic machines work according to the dissipative power that allows to choose the proportion of hydrodynamic settings, which provide the highest intensity of cavitating processing of processed liquids, was presented. The practical value of the research is in the studying of ways of increasing of equipment efficiency through the possibility of technological process intensification.

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Adaptive mesh refinement immersed boundary method for simulations of laminar flows past a moving thin elastic structure

et al. 2020

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A sharp interface approach for cavitation modeling using volume-of-fluid and ghost-fluid methods

Cited by 11 publications

References 16 publications

An Approach for Interface Condition of Phase-Change Heat Conduction in Curvilinear Coordinates

An Approach for Interface Condition of Phase-Change Heat Conduction in Curvilinear Coordinates

Increasing of Equipment Efficiency by Intensification of Technological Processes

Adaptive mesh refinement immersed boundary method for simulations of laminar flows past a moving thin elastic structure

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