Heat Transfer Questions & Answers  
Question by Student 201427132
Dear professor, i have some question about today's class.
First of all, i understand that phase change makes matter change properties.
In last example, i think you solve the problem assuming it is steady state.
But, phase change makes matter change in time.
I guess it does not make sense..
05.31.17
Yes phase change makes matter change in time if the reference frame is set on the fluid going through the phase change. But if the reference frame is set on the pipe, then phase change can become steady. 1 point bonus.
Question by Student 201127102
Dear professor, I have question for today's class.
P20170601_102212937_CBB0498A-018B-4CBA-9594-9947B557E995.JPG

In equestion of dq, attached , I guess Surface area of ${R_{conv}}$ and ${R_{cond}}$ are different from each other.
But i have no idea that why you think ${A_s}$ of ${R_{conv}}$ and ${R_{cond}}$ are same.
Is there specific reason for this?
06.01.17
For convective heat transfer, the surface area when using the equation $q=A_s h \Delta T$ should always be measured at the fluid-solid interface (where the solid touches the fluid). Because the solid here has negligible thickness, the surface area is the same for the convective heat transfer taking place within or outside the pipe. 1.5 points bonus.
Question by Student 201227153
Dear professor, I have a question about conductivity($k$). In many case, $k$ can be used in solid. But in No.3 assignment #7, it has $k$ of gas. What is difference between conductivity in gas and conductivity in solid?
As we saw in the first weeks of this course, $k$ is derived for a gas and extended by analogy to solids and liquids. This was explained already. 0.5 point bonus.
Question by Student 201327557
Hello professor parent. In assignment #8, question 2. To solve the problem I have to find the convective heat transfer coefficient of external flow. But to find the convective heat transfer coefficient I need Nusselt number. First, I found the Reynolds number with the $T_f$ which I assumed $T_w=T_{air}$. In table, summary of convection correlations for external flow across cylinders, tube banks, and spheres, there are two options that I can choose but I don't know what is $Pe$ in first row.
Pe should be written as Pe$_d$: that's the Peclet number as defined on the second page of the tables. 2 points bonus.
Question by Student 201227127
Hi professor, I have question about A8, Q2. To solve problem, I used $q_{water in} = q_{air out}$ concept. So I have to find external and internal convective heat transfer coefficient. All properties of Nusselt number of external flow evaluated at film Temperature. And in internal flow, to get h, we need average bulk temperature. but we don't know both wall temperature and exit bulk temperature. I think I have to guess 2 temperature. Is it right?
Sure, you should proceed iteratively as shown in class.
Question by Student 201127151
Professor, I have a question about the log mean temperature difference. You explained the LMTD EG :
FullSizeRender.jpg
And Solving the example, you used the following equations : \begin{equation} q_w = \frac{h A_{s}(T_{b1}-T_{b2})}{\rm{ln}(\frac{T_{w}-T_{b2}}{T_{w}-T_{b1}})} \end{equation} and \begin{equation} q_{in} = \dot{m}c_{p}(T_{b2}-T_{b1}). \end{equation} When heat is transferred to the pipe, I think that the equation (1) and (2) have positive values. If so, I think that the equation (1) is directly equal to the equation (2). But you used a negative sign as follow : $$ \dot{m}c_{p}(T_{b2}-T_{b1}) = - \frac{h A_{s}(T_{b1}-T_{b2})}{\rm{ln}(\frac{T_{w}-T_{b2}}{T_{w}-T_{b1}})} $$ Which one is correct?
Yes, $q_{\rm w}=q_{\rm in}$. The following is wrong: $$ \dot{m}c_{p}(T_{b2}-T_{b1}) = - \frac{h A_{s}(T_{b1}-T_{b2})}{\rm{ln}(\frac{T_{w}-T_{b2}}{T_{w}-T_{b1}})} $$ I guess I meant: $$ \dot{m}c_{p}(T_{b2}-T_{b1}) = - \frac{h A_{s}(T_{b2}-T_{b1})}{\rm{ln}(\frac{T_{w}-T_{b2}}{T_{w}-T_{b1}})} $$ Change the sign if necessary. 2 points bonus.
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