Bubble dynamics on the evolving bubble formed from the droplet at the superheat limit

Kwak, Ho‐Young; Oh, Si-Doek; Park, Cheon-Ho

doi:10.1016/0017-9310(94)00273-x

Cited by 43 publications

(25 citation statements)

References 10 publications

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“…The entropy generation rate in this kind of oscillating bubble-liquid system, which induces lost work for bubble motion, needs to be calculated by allowing for the rate change of entropy for the gas inside the bubble and the net entropy flow out of the bubble, giving the heat exchange [10]: where n=1.3 produces the same pattern of bubble motion, as shown in Fig. 2.…”

Section: Governing Equations Obtained From the Navierstokes Equation mentioning

confidence: 99%

“…Note that no additional equation of state is needed to obtain gas pressure inside the bubble in our formulation. The detailed derivation and rationale for arriving at the temperature distribution inside the rapidly oscillating bubble are given by Kwak et al [10], Kwak and Yang [11] and Kwak and Na [12].…”

Section: A Set Of Solutions Of the Navier-stokes Equations For The Gamentioning

confidence: 99%

“…(6) is valid when thermal equilibrium prevails inside the bubble. The assumption of uniform temperature is valid when the characteristic time of bubble evolution is in ms range [10].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear behavior of micro bubbles under ultrasound due to heat transfer

et al. 2009

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We investigated the nonlinear behavior of a microbubble under ultrasound, taking into account the heat transfer inside the bubble and through the bubble wall. The polytropic relation, which has been used for the process of pressure change depending on the volume variation of ideal gases, cannot properly treat heat transfer involving the oscillating bubble under ultrasound. In this study, a set of solutions of the Navier-Stokes equations for the gas inside the bubble along with an analytical treatment of the Navier-Stokes equations for the liquid adjacent to the bubble wall was used to treat properly the heat transfer process for the oscillating bubble under ultrasound. Entropy generation due to finite heat transfer, which induces the lost work during bubble evolution, reduces the collapsing process and considerably affects the nonlinear behavior of the bubble.

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Section: Governing Equations Obtained From the Navierstokes Equation mentioning

confidence: 99%

Section: A Set Of Solutions Of the Navier-stokes Equations For The Gamentioning

confidence: 99%

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Nonlinear behavior of micro bubbles under ultrasound due to heat transfer

et al. 2009

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“…Kwak et al [21] study the oscillating bubble that results from a droplet boiling at its superheat limit. They develop coupled differential equations for the evolution over time of the bubble pressure, temperature, radius and velocity, and the thickness of the thermal boundary layer: They assume a quadratic temperature profile in the boundary layer.…”

Section: Shepherd and Sturtevantmentioning

confidence: 99%