Physical approach to averaging theorems on phase interfaces in a dispersed multiphase medium

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[1] Fras, G.
[2] Benet, J.C.
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Fras, G. | 1600年 / Kluwer Academic Publishers, Dordrecht, Netherlands卷 / 15期
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Derivatives - Differentiation (calculus) - Dispersions - Equations of motion - Microscopic examination - Surfaces - Thermodynamics - Transport properties - Velocity;
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摘要
Within the framework of a procedure for scale-changing by averaging a representative elementary volume, theorems are developed to relate the averages of derivatives to the derivatives of averages over a surface, using elementary differential calculus. These theorems form the basis of a general macroscopic balance equation for a given quantity over interfaces of a dispersed multiphase medium. The equations of phase interfaces complement equations related to bulk phases describing transport in dispersed multiphase media.
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