Liquid water coats an active (growing) icicle and extends up a short, narrow tube along the central axis. Because the water-ice interface must have a temperature of 0^(@)C, the water in the tube cannot lose energy through the sides of the icicle or down through the tip because there is no temperature change in those directions . It can lose energy and freeze only by sending energy up(through distance L) to the top of the icicle, where the temperature T_(r) can be below 0^(@)C. Take L=0.10m and T_(r)=-5^(@)C.Assume that the central tube and the upward conduction path both have crosse-sectional area A=0.5m^(2). The thermal conductivity of ice is 0.40 W//mcdotK, latent heat of fusion is L_(F)=4.0xx10^(5) J//K and the density of liquid water is 1000 kg//m^(3). At what rate does the top of the tube move downward because of water freezing there?

Liquid water coats an active (growing) icicle and extends up a short,

1.	Liquid water coats an active (growing) icicle and extends up a short, narrow tube along the central axis. Because the water-ice interface must have a temperature of 0^(@)C, the water in the tube cannot lose energy through the sides of the icicle or down through the tip because there is no temperature change in those directions . It can lose energy and freeze only by sending energy up(through distance L) to the top of the icicle, where the temperature T_(r) can be below 0^(@)C. Take L=0.10m and T_(r)=-5^(@)C.Assume that the central tube and the upward conduction path both have crosse-sectional area A=0.5m^(2). The thermal conductivity of ice is 0.40 W//mcdotK, latent heat of fusion is L_(F)=4.0xx10^(5) J//K and the density of liquid water is 1000 kg//m^(3). At what rate does the top of the tube move downward because of water freezing there?
Answer» `5xx10^(-8) m//s` `2.5xx10^(-3) m//s` `2.5xx10^(-8) m//s` `4.5xx10^(-2) m//s` ANSWER :C