Abstract
AbstractWe analyze hydrodynamic enhancement of mass (or heat) release rate from small spherical particles within fluid flows from local flow shear‐rate, with application to drug dissolution. Combining asymptotic theories in the high/low shear Peclet number limits in Stokes flow with 205 carefully‐developed computational experiments, we develop accurate correlations for shear enhancement of Sherwood/Nusselt number (Sh/Nu) as a function of shear Peclet and Reynolds number (S*, Re S). The data spanned S* from 0 to 500 and Re S from 0 to 10. In Stokes flow our correlations are highly accurate over the entire S* range, whereas for finite Re S < 1 accuracy is good for S* up to a few thousand. Shear enhancement results from highly three‐dimensional spiraling flow created by particle spin. We develop a model for particle slip velocity that is inserted into the Ranz/Marshall correlation to show that shear‐rate enhancement strongly dominates convection, a result important to drug dissolution.
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