Calculation of the rise velocity of large gas bubbles

Zudin, Yu. B.

doi:10.1007/bf00854360

Cited by 9 publications

(2 citation statements)

References 3 publications

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“…Moreover, the influence of a combined periodic heat flux and convective boundary condition through semi-infinite and finite media is studied [12]. Some experimental methods are considered to specify the heat transfer coefficient and thermal diffusivity of the material and the temperature field [13][14][15][16]. One of these experimental methods is the photothermal radiometry (PTR) technique which represents a very powerful tool for the thermal characterization of materials [17][18][19].…”

Section: List Of Symbols Amentioning

confidence: 99%

Analysis of Transient Heat Conduction in a Hollow Sphere Using Duhamel Theorem

Abdous

Avval²,

Ahmadi

et al. 2011

Int J Thermophys

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In this article, analytical modeling of two-dimensional heat conduction in a hollow sphere is presented. The hollow sphere is subjected to time-dependent periodic boundary conditions at the inner and outer surfaces. The Duhamel theorem is employed to solve the problem where the periodic and time-dependent terms in the boundary conditions are considered. In the analysis, the thermophysical properties of the material are assumed to be isotropic and homogenous. Moreover, the effects of the temperature oscillation frequency, the thickness variation of the hollow sphere, and thermophysical properties of the sphere are studied. The temperature distribution obtained here contains two characteristics, the dimensionless amplitude (A) and the dimensionless phase difference (ϕ). Moreover, the obtained results are shown with respect to Biot and Fourier numbers. Comparison between the present results and the findings from a previous study for a hollow sphere subjected to the reference harmonic state show good agreement.

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Section: List Of Symbols Amentioning

confidence: 99%

Analysis of Transient Heat Conduction in a Hollow Sphere Using Duhamel Theorem

Abdous

Avval²,

Ahmadi

et al. 2011

Int J Thermophys

View full text Add to dashboard Cite

show abstract

“…proposed to compute the terminal velocity of single bubbles rising in pure and contaminated systems. Zudin [14] proposed an analytical solution for shape and rise velocity for large bubbles. The relative terminal rise velocity of a single gas bubble moving into a liquid phase was studied by Bozzano and…”

Section: Experimental Studies and Correlationsmentioning

confidence: 99%