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Consider a liquid stored in a container exposed to its saturated vapour at constant temperture of Tsat. The bottom surface of of the container is

Consider a liquid stored in a container exposed to its saturated vapour at constant temperture of Tsat. The bottom surface of of the container is maintained at a constant temperature of TS such that TS< Tsat while its side walls are insulated. The thermal conductivity k of th eliquid, latent heat of vaporization , density are known. Assuming a linear temperature distribution in the liquid, prove that the expression for the growth of the liquid layer (t) due to condensation as a function of time t is given by (by energy balance for period of time t). ((t))^2 = [ 2k(Tsat Ts )t ]

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