Abstract
Chemical processes governed by the laws of diffusion kinetics can be intensified by elastic oscillations. It is also known that the rate of combustion of liquid and solid fuels changes markedly with the onset of acoustic vibrations in the combustion chamber. Despite the extensive application of vibrational processes in technology, the mechanisms of heat and mass transfer in the presence of vibrations are not well known. The aim of this research was to analyze the mass transfer from a sphere in an acoustic field.
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Abbreviations
- ω :
-
angular frequency of oscillations
- λ:
-
wavelength
- R:
-
characteristic dimension of axisymmetric body
- s:
-
amplitude of displacement of fluid particles in a plane acoustic wave
- B:
-
amplitude of oscillation velocity
- x, y:
-
longitudinal and transverse coordinates
- u, v:
-
longitudinal and transverse velocity components
- v :
-
kinematic viscosity
- U — A(x) cos ωt:
-
velocity of potential flow
- δ+ :
-
thickness of momentum boundary layer
- δ− :
-
thickness of diffusion boundary layer
- m:
-
dimensionless concentration
- m* :
-
concentration of diffusing component at surface of vaporization
- t:
-
time
- D:
-
diffusion coefficient
- ρ:
-
average density of mixture
- erf:
-
error function
- r:
-
radius of axisymmetric body
- R:
-
Reynolds number
- P:
-
diffusion Prandtl number
- 〈〉:
-
time average
- N, Nd :
-
Nusselt numbers based on radius and diameter respectively
- ′:
-
pulsating component of velocity or concentration
- o:
-
stationary component of velocity or concentration
References
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D. Roy, “Non-steady periodic boundary layer.” Z. angew. Math. und Phys., vol. 12, p. 363, 1961.
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In conclusion, the authors wish to thank S. S. Kutateladze and I. A. Yavorskii, who supervised the present work.
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Burdukov, A.P., Nakoryakov, V.E. On mass transfer in an acoustic field. J Appl Mech Tech Phys 6, 51–55 (1965). https://doi.org/10.1007/BF00915612
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DOI: https://doi.org/10.1007/BF00915612