Ethanol ( , , NIST reference values at ) completely wets a clean vertical glass plate

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Fluid statics and the continuum picture · Fluid statics and the continuum picture

Fluid Dynamics, Ch Interfaces: capillary statics and the stress conditions at a surface

Problem

Ethanol (γ=0.0223 N m−1\gamma = 0.0223\,\mathrm{N\,m^{-1}}, ρ=789 kg m−3\rho = 789\,\mathrm{kg\,m^{-3}}, NIST reference values at 20∘C20^\circ\mathrm{C}) completely wets a clean vertical glass plate, so its equilibrium contact angle is θc=0∘\theta_c = 0^\circ. Take g=9.8 m s−2g = 9.8\,\mathrm{m\,s^{-2}}. ((a)) Compute the capillary length ℓc\ell_c of ethanol. ((b)) Compute the height hh to which ethanol climbs the plate above the level far from it.

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