A theoretical study on bubble growth in constant and time-dependent pressure fields

Theofanous, T.G.; Biasi, L.; Isbin, H. S.; Fauske, H.K.

doi:10.1016/0009-2509(69)85008-6

Cited by 126 publications

(40 citation statements)

References 15 publications

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“…Assuming that the bubble is a spherical shape and that the instantaneous temperature profile at the thermal boundary layer adjacent to the bubble wall is quadratic [14], then we have…”

Section: Thermal Boundary Layer Adjacent To the Bubble Wallmentioning

confidence: 99%

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Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects

Kwak

2018

Entropy

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Heat transfer accompanying entropy generation for the evolving mini and microbubbles in solution is discussed based on the explicit solutions for the hydrodynamic equations related to the bubble motion. Even though the pressure difference between the gas inside the bubble and liquid outside the bubble is a major driving force for bubble evolution, the heat transfer by conduction at the bubble-liquid interface affects the delicate evolution of the bubble, especially for sonoluminescing the gas bubble in sulfuric acid solution. On the other hand, our explicit solutions for the continuity, Euler equation, and Newtonian gravitational equation reveal that supernovae evolve by the gravitational force radiating heat in space during the expanding or collapsing phase. In this article, how the entropy generation due to heat transfer affects the bubble motion delicately and how heat transfer is generated by gravitational energy and evolving speed for the supernovae will be discussed. The heat transfer experienced by the bubble and supernovae during their evolution produces a positive entropy generation rate.

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“…Assuming that the bubble is a spherical shape and that the instantaneous temperature profile at the thermal boundary layer adjacent to the bubble wall is quadratic [14], then we have…”

Section: Thermal Boundary Layer Adjacent To the Bubble Wallmentioning

confidence: 99%

“…One can solve Equations (11)- (14) and (17) simultaneously to obtain the next time step value of Pb, Tb, Ub, Rb and δ by the Runge-Kutta numerical method with appropriate initial conditions.…”

Section: Overall Energy Equation For a Bubblementioning

confidence: 99%

Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects

Kwak

2018

Entropy

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show abstract

“…Heat transfer is assumed to occur through the thermal boundary layer of thickness (t). The temperature profile in this layer is assumed to be quadratic (Theofanous et al, 1969).…”

Section: Temperature Profile In Thermal Boundary Layermentioning

confidence: 99%

Nonlinear Bubble Behavior due to Heat Transfer

Kwak¹

2011

Heat Transfer - Theoretical Analysis, Experimental Investigations and Industrial Systems

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“…The combined effects of liquid inerti~heat transfer, non-equilibrium effects and variable vapour density in the process of vapour bubble growth in constant and time dependent pressure fields has been investigated by Theofanous et al (1969). Reviews of these works can be found in Skripov (1974), Blander & Katz (1975) and Blander (1979).…”

Section: -6mentioning

confidence: 99%

Venezuela-MEM/USA-DOE Fossil Energy Report IV-11: Supporting technology for enhanced oil recovery - EOR thermal processes

Venezuela¹

2000

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A theoretical study on bubble growth in constant and time-dependent pressure fields

Cited by 126 publications

References 15 publications

Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects

Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects

Nonlinear Bubble Behavior due to Heat Transfer

Venezuela-MEM/USA-DOE Fossil Energy Report IV-11: Supporting technology for enhanced oil recovery - EOR thermal processes

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