Suppose that a spherical vapor bubble of radius R(t) is growing in a supersaturated liquid. Assume...

 

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Suppose that a spherical vapor bubble of radius R(t) is growing in a supersaturated liquid. Assume that the gas density (PG) and liquid density (PL) are each constant, and let the origin correspond to the center of the bubble. (a) Show that the vapor inside the bubble is at rest. [Hint: Choose a control volume of constant radius, which at a given instant is slightly smaller than R(t)]. (b) Evaluate the mass flux into the bubble (i.e., relative to the vapor-liquid interface). (c) Evaluate the mass flux in the liquid at a fixed position just outside the bubble. Suppose that a spherical vapor bubble of radius R(t) is growing in a supersaturated liquid. Assume that the gas density (PG) and liquid density (PL) are each constant, and let the origin correspond to the center of the bubble. (a) Show that the vapor inside the bubble is at rest. [Hint: Choose a control volume of constant radius, which at a given instant is slightly smaller than R(t)]. (b) Evaluate the mass flux into the bubble (i.e., relative to the vapor-liquid interface). (c) Evaluate the mass flux in the liquid at a fixed position just outside the bubble.