From the analogy between heat transfer and evaporation, the rate of evaporation from a finite pan by natural convection was obtained as follows:
where
E is the rate of evaporation in g•cm
-2•see
-1, C
0, C
∞ are vapour concentrations at the surface of water and in the air respectively, _??_θ
0-θ
∞, θ
0, θ
∞ being temperatures at the surface of water and in the air respectively,
d is diffusivity, _??_; kinematic viscosity, β; expansion coefficient of air,
g; acceleration of gravity and
x is the radius of the pan in cm.
Experiments were carried out by using a pan of radius 1.83cm. The range of _??_=θ
0-θ
∞ observed was from 0.1° to 50°C, in which θ
∞ was about 20°C. The experimental result was expressed by while the theoretical formula for the pan at θ
∞=20°C is
Both results agree fairly well, but the experimental result gives about 21% smaller rate of evaporation than the theoretical formula.
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