Pseudopotential Lattice Boltzmann Method for boiling heat transfer: A mesh refinement procedure

Jaramillo, Alfredo; Mapelli, Vinícius Pessôa; Cabezas‐Gómez, Luben

doi:10.1016/j.applthermaleng.2022.118705

Cited by 8 publications

(4 citation statements)

References 67 publications

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“…We are looking for solutions ρ(y) and T (y) that fulfill Eqs. (19) and (20). This is a complex problem that can be simplified by modeling the interfacial regions between different phases as sharp interfaces that connect a liquid and a gas equilibrium densities corresponding to the temperature at the location of the interface.…”

Section: A Theoretical Solutionmentioning

confidence: 99%

“…This then fully determines the temperature profile T (y) leaving us to find the density profile ρ(y) by integrating Eq. (19). To do this we pre-suppose an interface location, which will give us the equilibrium liquid and gas densities corresponding to the local temperature, and from those we can numerically integrate Eq.…”

Section: A Theoretical Solutionmentioning

confidence: 99%

“…In this appendix we describe the numerical procedure used to solve Eqs. (19), (20) and (21). To differentiate this solution from the one obtained by the LBM, we call this as theoretical solution.…”

Section: Data Availability Statementmentioning

confidence: 99%

“…Some authors use a conventional formulation for this force as F g = ρg [7][8][9][10][11] . Other authors opt for a formulation in the form F g = (ρ − ρ )g, where ρ is the average density of the domain [12][13][14][15][16][17][18][19][20] . If the force of gravity is small enough to lead to only minor differences in the pressure in the simulation, those formulations will give very similar results.…”

Section: Introductionmentioning

confidence: 99%

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Effects of gravity induced pressure variations for thermal liquid-gas phase-change simulations with the pseudopotential lattice Boltzmann method

Czelusniak¹,

Cabezas‐Gómez²,

Wagner³

2023

Preprint

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Direct simulations of phase-change and phase-ordering phenomena are becoming more common. Recently qualitative simulations of boiling phenomena have been undertaken by a large number of research groups. One seldom discussed limitations is that large values of gravitational forcing are required to simulate the detachment and rising of bubbles formed at a bottom surface. The forces are typically so large that neglecting the effects of varying pressure in the system becomes questionable. In this paper we examine the effect of large pressure variations induced by gravity using pseudopotential lattice Boltzmann simulations. These pressure variations lead to height dependent conditions for phase co-existence and nucleation of either gas or liquid domains. Because these effects have not previously been studied in the context of these simulation methods we focus here on the phase-stability in a one dimensional system, rather than the additional complexity of bubble or droplet dynamics. Even in this simple case we find that the different forms of gravitational forces employed in the literature lead to qualitatively different phenomena, leading to the conclusion that the effects of gravity induced pressure variations on phase-change phenomena should be very carefully considered when trying to advance boiling and cavitation as well as liquefaction simulations to become quantitative tools.

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Section: A Theoretical Solutionmentioning

confidence: 99%

Section: A Theoretical Solutionmentioning

confidence: 99%