(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant 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

3. 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 dont quite understand the thinking behind it.could anyone explain it to me?

any help would be much appreciated

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