Heat conductivity

  • Thread starter funoras
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  • #1
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Homework Statement



An ice ball is melting in a water bath. Find the time needed for the ice ball to completely melt. Heat transfer is only due to heat conduction. The radius of the ball is [itex]R_0=1cm[/itex]. The temperature of the water in the bath is [itex]t=10°[/itex]. There is an infinite amount of water compared to the size of the ice ball.
Heat of fusion of water is [itex]\lambda=334 kJ/kg[/itex]
Density of ice is [itex]\rho=900 kg/m^3[/itex]
Thermal conductivity of water is [itex]K=0,6 W/(m*K)[/itex]

Homework Equations


[itex]Q=4/3*\pi R_0^3\rho\lambda[/itex]


The Attempt at a Solution


The equation above is the only thing i know.
 

Answers and Replies

  • #2
1,198
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What class are you taking? The reason why I ask is because this can be considered a moving boundary boundry problem with phase change which is rather advanced.
 

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