Savchenko Problem 4.6.4

Physics · mechanics · fluid-mechanics

Problem

a. Using the result of Problem 4.4.5, determine the volume of liquid flowing per unit time through a capillary of radius r connected to the liquid if its surface in the capillary is established (due to evaporation) at distance h from itsbase. Viscosityoftheliquidη\eta,surfacetensionσ\sigma,theliquidcompletelywets the capillary. Approve the maximal volume of blood which can be supplied to tissues in 1 s by capillaries of radius 10 µm and length 1 mm. If the number of capillaries is 105, viscosity 5⋅\cdot10−3N ⋅\cdot s , surface tension 7⋅\cdot10−2 N/m. m2 149

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