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Neglect hydrostatic pressure variation in the air. The usual boundary condition in a liquid at the interface

between this liquid and a gas is the so-called shear-free condition. This assumes that the shear force on the liquid by the gas is negligible. The interfacial shear stress in the honey is μ dw/dx. So, the boundary condition at the interface is μ dw/dx = 0 at x = δ.

Honey, of density ρ = 1500 kg/m 3 and viscosity s Pa 10 , flows steadily along the side wall of a vertical container. You may neglect the development region near the top of the wall, such that the honey film is independent of z and maintains a constant thickness . a) Find the velocity profile w ( x ) in the film, assuming that the air does not exert any friction on the film. b) For a film thickness of 3 mm, find the mass flow rate of honey per unit depth y .
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SOLUTIONS Q (a) -Answer
Equation To describe the velocity profile.
Note- in this question velocity is mentioned by the symbol w, we use u for our
convenience as we used to use velocity by u. After...

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