The flow of a viscous liquid past a doubly periodic row of cylinders

Golovin, A. M.; Lopatin, V. A.

doi:10.1007/bf00913184

Cited by 6 publications

(1 citation statement)

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“…The mass and heat transfer have been studied in detail [1,[16][17][18][19][20][21][22][23] on the basis of analytical and numerical solutions for the flow fields obtained for the fiber lattices [24][25][26][27][28]. As it turned out, a single row of fibers is a particularly convenient model when studying fluid flow and mass transfer at Re > 1 [16,20], when the flow symmetry is broken with increasing Re, and when vortices are formed behind the fibers, leading to an increase in the diffusion flux to the fibers.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Convection–Diffusion Transport in a Laminar Flow Past a Row of Parallel Absorbing Fibers

Kirsh

Bildyukevich

Баженов

2018

Fibers

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A numerical simulation of the laminar flow field and convection–diffusion mass transfer in a regular system of parallel fully absorbing fibers for the range of Reynolds numbers up to Re = 300 is performed. An isolated row of equidistant circular fibers arranged normally to the external flow is considered as the simplest model for a hollow-fiber membrane contactor. The drag forces acting on the fibers with dependence on Re and on the ratio of the fiber diameter to the distance between the fiber axes, as well as the fiber Sherwood number versus Re and the Schmidt number, Sc, are calculated. A nonlinear regression formula is proposed for calculating the fiber drag force versus Re in a wide range of the interfiber distances. It is shown that the Natanson formula for the fiber Sherwood number as a function of the fiber drag force, Re, and Sc, which was originally derived in the limit of high Peclet numbers, is applicable for small and intermediate Reynolds numbers; intermediate and large Peclet numbers, where Pe = Re × Sc; and for sparse and moderately dense rows of fibers.

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