Enhancement of heat transfer rate on phase change materials with thermocapillary flows

Madruga, Santiago; Mendoza, Carolina

doi:10.1140/epjst/e2016-60207-7

Cited by 42 publications

(7 citation statements)

References 11 publications

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“…Regarding the validation of the model, the proper implementation of the bulk equations has been extensively verified with numeric and experimental works to ensure the stability and accuracy of the code, with special care of the treatment of the source term of the energy equation in [57]. The implementation is very successful in modeling the strong coupling between momentum and energy equations typical of phase change problems in rectangular and geometries in the form of circular sections [19,58,57].…”

Section: Methodsmentioning

confidence: 99%

Dynamic of plumes and scaling during the melting of a Phase Change Material heated from below

Madruga

Curbelo

2018

International Journal of Heat and Mass Transfer

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We identify and describe the main dynamic regimes occurring during the melting of the PCM n-octadecane in horizontal layers of several sizes heated from below. This configuration allows to cover a wide range of effective Rayleigh numbers on the liquid PCM phase, up to ∼ 10 9 , without changing any external parameter control. We identify four different regimes as time evolves: (i) the conductive regime, (ii) linear regime, (iii) coarsening regime and (iv) turbulent regime. The first two regimes appear at all domain sizes. However the third and fourth regime require a minimum advance of the solid/liquid interface to develop, and we observe them only for large enough domains. The transition to turbulence takes places after a secondary instability that forces the coarsening of the thermal plumes. Each one of the melting regimes creates a distinct solid/liquid front that characterizes the internal state of the melting process. We observe that most of the magnitudes of the melting process are ruled by power laws, although not all of them. Thus the number of plumes, some regimes of the Rayleigh number as a function of time, the number of plumes after the primary and secondary instability, the thermal and kinetic boundary layers follow simple power laws. In particular, we find that the Nusselt number scales with the Rayleigh number as N u ∼ Ra 0.29 in the turbulent regime, consistent with theories and experiments on Rayleigh-Bénard convection that show an exponent 2/7. arXiv:1711.07744v1 [physics.flu-dyn]

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Section: Methodsmentioning

confidence: 99%

Dynamic of plumes and scaling during the melting of a Phase Change Material heated from below

Madruga

Curbelo

2018

International Journal of Heat and Mass Transfer

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“…In previous experimental and numerical works 25,29,36 the model has been validated, and the implementation of the bulk equations have been widely verified in different geometries (circular and rectangular domains). The code is stable and accurate and can model the strong coupling between energy and momentum equations typical of phase change problems in a wide range of Stefan numbers.…”

Section: Methodsmentioning

confidence: 99%

Effect of the inclination angle on the transient melting dynamics and heat transfer of a phase change material

Madruga

Curbelo

2021

Physics of Fluids

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We report two-dimensional simulations and analytic results on the effect of the inclination on the transient heat transfer, flow, and melting dynamics of a Phase Change Material within a square domain heated from one side. The liquid phase has Prandtl number P r = 60.8, Stefan number Ste = 0.49 and Rayleigh numbers extend over eight orders of magnitude 0 ≤ Ra ≤ 6.6 • 10 8 for the largest geometry studied. The tilt determines the stability threshold of the base state. Above a critical inclination, there exists only a laminar flow at the melted phase, irrespective of the Rayleigh number. Below that inclination, the base state destabilizes following two paths according to the inclination: either leading to a turbulent state for angles near the critical inclination or passing through a regime of plume coarsening before reaching the turbulent state for smaller angles. We find that the Nusselt and Reynolds numbers follow a power law as N u ∼ Ra α , Re ∼ Ra β in the turbulent regime. Small inclinations reduce very slightly α and strongly β. The inclination leads to subduction of the kinematic boundary layer into the thermal boundary layer. The scaling laws of the Nusselt and Reynolds numbers and boundary layers are in agreement with different results at high Rayleigh convection. However, some striking differences appear as the stabilization of turbulent states with further increasing of the Rayleigh number. We find as well that the turbulent regime exhibits a higher dispersion in quantities related to heat transfer and flow dynamics on smaller domains.

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“…For the general session on Marangoni effects where also gravity and buoyancy plays a role, the papers by Goldobin et al [2], Madruga et al [3], and Kossov et al [4] are representative. In the first two, phase transitions are crucial, the latter deals with multicomponent mixtures.…”

Section: The European Physical Journal Special Topicsmentioning

confidence: 99%

IMA8 – Interfacial Fluid Dynamics and Processes

Bestehorn

2017

Eur. Phys. J. Spec. Top.

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Enhancement of heat transfer rate on phase change materials with thermocapillary flows

Cited by 42 publications

References 11 publications

Dynamic of plumes and scaling during the melting of a Phase Change Material heated from below

Dynamic of plumes and scaling during the melting of a Phase Change Material heated from below

Effect of the inclination angle on the transient melting dynamics and heat transfer of a phase change material

IMA8 – Interfacial Fluid Dynamics and Processes

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