Linear Straining Shear Flow. High Peclet Numbers

Linear Straining Shear Flow. High Peclet Numbers 

The solution of hydrodynamic problems for an arbitrary straining linear shear flow (Gkm = Gmk) past a solid particle, drop, or bubble in the Stokes approximation (as Re - 0) is given in Section 2.5. In the diffusion boundary layer approximation, the corresponding problems of convective mass transfer at high Peclet numbers were considered in [27, 164, 353]. In Table 4.4, the mean Sherwood numbers obtained in these papers are shown. 

For a solid spherical particle in an arbitrary linear straining shear flow, the following interpolation formula was suggested in [27] for the mean Sherwood number  

For the axisymmetric and plane shear flows (see Table 4.4), the error of formula (4.8.1) does not exceed 1%. 

For a spherical drop in an arbitrary straining linear shear flow under limiting resistance of the continuous phase, one can use the interpolation formula [353]  

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The mean Sherwood number for spherical solid particles, drops, and bubbles in a linear straining shear flow (Gkm = 0 for k m) at low Reynolds numbers and high Peclet numbers... 

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