- #1

debwaldy

- 38

- 0

## Homework Statement

hi,i was wondering if someone could tell me if the following solution makes sense,ithink it does but not sure why?

cool air blowing across the surface of a frozen lake keeps the top surface of the ice at a temperature of -5degrees celsius.what is the rate of increase in the thickness of the ice layer when the ice is 10 mm thick?

## Homework Equations

the density,thermal conductivity and specific latent heat of fusion of ice are 920 kg m^-3, 1.7 J m^-1 K^-1 s^-1 and 3.3*10^5 J kg^-1 respectively

## The Attempt at a Solution

so i said that:

the heat transfer coefficient = thermal conductivity/thickness of material

i.e heat transfer coefficient= 1.7/0.01= 1.7*10^2 J K^-1 s^-1

then i said :

heat flux=(1.7*10^2) *5 = 8.5*10^2

then:

8.5*10^2/920 = 9.23913*10^-1

and so:

9.23913*10^-1/3.3*10^5= 2.799* 10^-6 ms^-1

i know the answer is right but i don't quite understand the thinking behind it.could anyone explain it to me?

any help would be much appreciated