Preparing multiple refreshing drinks for your friends, you used several cubic ice cubes (3 cm per side). The ice cubes are initially at a uniform temperature of -18 C and have a thermal conductivity and diffusivity of 2.22 Wm-K- and 0.124 x 10-7 m²s-, respectively. One of the ice cube fell on a thick kitchen towel that was laid on the counter top. Consequently, the top and lateral surfaces of the ice cube are exposed to a constant and uniform combined convection (h 17 W m-2K-1), while the heat transfer on its bottom surface is minimized due to the presence of the thick towel (assume ġlbottom = 0). The temperature of the air and surroundings in the kitchen is constant at 20 'C. a. How long will it take for the ice cube to start melting? b. What will be the minimum temperature of the ice cube at that time (see a.)?

Elements Of Electromagnetics
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HEAT AND MASS TRANSFER

 

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1. Preparing multiple refreshing drinks for your friends, you used several cubic ice cubes (3 cm per side).
The ice cubes are initially at a uniform temperature of -18 C and have a thermal conductivity and
diffusivity of 2.22 W m-K-1 and 0.124 x 10-7 m2s-!, respectively. One of the ice cube fell on a thick
kitchen towel that was laid on the counter top. Consequently, the top and lateral surfaces of the ice
cube are exposed to a constant and uniform combined convection (h = 17 W m-2K-1), while the heat
transfer on its bottom surface is minimized due to the presence of the thick towel (assume ġlottom = 0).
The temperature of the air and surroundings in the kitchen is constant at 20 "C.
a. How long will it take for the ice cube to start melting?
b. What will be the minimum temperature of the ice cube at that time (see a.)?
Transcribed Image Text:1. Preparing multiple refreshing drinks for your friends, you used several cubic ice cubes (3 cm per side). The ice cubes are initially at a uniform temperature of -18 C and have a thermal conductivity and diffusivity of 2.22 W m-K-1 and 0.124 x 10-7 m2s-!, respectively. One of the ice cube fell on a thick kitchen towel that was laid on the counter top. Consequently, the top and lateral surfaces of the ice cube are exposed to a constant and uniform combined convection (h = 17 W m-2K-1), while the heat transfer on its bottom surface is minimized due to the presence of the thick towel (assume ġlottom = 0). The temperature of the air and surroundings in the kitchen is constant at 20 "C. a. How long will it take for the ice cube to start melting? b. What will be the minimum temperature of the ice cube at that time (see a.)?
Question 4
a. 51.7 min
b. 4.18 'C and 12.8 'C
Transcribed Image Text:Question 4 a. 51.7 min b. 4.18 'C and 12.8 'C
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