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posted by  Anonymous on 11/7/2009 12:37:39 AM  |  status: Closed  |  Earned Karma: 50

convective heat transfer

Course Textbook Chapter Problem Needs by
Heat and Mass Transfer Fundamentals of Heat and Mass Transfer (6th) by Incropera, Dewitt 1 13P 11/10/2009 at 10:00:00 PM
Question Details:
Hello

About problem 13, chapter 1 in Fundamentals of Heat and Mass Transfer by Incropera and Dewitt:
Given are velocity in air and water, the temperature of the hand and the medium (air and water) and the respective convection coefficients. The heat flux in both cases is to be found.
Why do they give velocity at all when it is obviously not used? I (completely sure that convection depends on velocity), spend a lot of time calculating Nusselt numbers etc. being sure that this will help me find the right convection coefficient only to find  out (when comparing my results to the solution in Cramster) that velocity is not used at all. What is the idea of giving the velocity then? Does it influence the final solution at all? If yes in what way?

Thank you.

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posted by Root_Locus(MNK) on 11/7/2009 12:40:05 PM  |  status: Live
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Response Details:
I don't know what solution you are referring but I am telling you the answer
Q = hAΔT
or, q = Q/A = hΔT
qwater = hwater*(Thand - Twater)
            =(900 W/m2-K )*(30-10)K
            = 18000 W/m2
qair = hair*(Thand - Tair)
       = (40 W/m2-k)*(30-(-5))K
       =  1400 W/m2
as qwater > qair, Hand will feal coller in water
Now, to things to visualize:
1. air is at lower temperature (Tair = -50C) comapred to water at 100C, still qwater is more.
2. vair >vwater still qwater is more.

Now, your confusion why at all the speed is given and convective heat transfer depends on speed of the medium?
Answer is Yes, convective heat transfer depends on the flow of the medium. but convection heat transfer coefficient (h)  takes care of this.Now, h is dependent on the type of media, gas or liquid, the flow properties such as velocity, viscosity and other flow and temperature dependent properties. and h is given so speed plays no role in calculation.
then why speed is given.. this is for visualization  purpose.

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