Suppose that a spherical liquid droplet of radius R(t) is growing in a supersaturated vapor. Assume that
the gas density
ho _(G) and liquid density
ho _(L) are each constant, and let the origin correspond to the center of
the droplet.
(a) Show that the liquid inside the droplet is at rest. [Hint: Choose a stationary control volume of constant
radius, which at a given instant is slightly smaller than R(t).]
(b) Evaluate the scalar mass flux into the droplet (i.e., crossing the vapor-liquid interface).
(c) Evaluate the mass flux vector in the vapor at a fixed position just outside the droplet. In what direction
does the flux vector point?
Suppose that a spherical liquid droplet of radius R(t) is growing in a supersaturated vapor. Assume that the gas density Po and liquid density PL are each constant, and let the origin correspond to the center of the droplet.
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a) Show that the liquid inside the droplet is at rest.[Hint: Choose a stationary control volume of constant radius, which at a given instant is slightly smaller than R(t).]
(b) Evaluate the scalar mass flux into the droplet (i.e., crossing the vapor-liquid interface)
(c) Evaluate the mass flux vector in the vapor at a fixed position just outside the droplet. In what direction does the flux vector point?