Chemical Engineering - Heat Transfer - Discussion

Discussion Forum : Heat Transfer - Section 2 (Q.No. 1)
1.
Which area is used in case of heat flow by conduction through a cylinder ?
Logarithmic mean area
Arithmetic mean area
Geometric mean area
None of these
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
5 comments Page 1 of 1.

Ghori Mayur said:   1 decade ago
Why using this area? any reason behind it ?

Arpit said:   10 years ago
Just go through the derivation, and you will know the reason.

K.Rama Krishna said:   8 years ago
The formula of heat transfer by conduction in cylindrical coordinate is:

q=2*π*k*L*(T1-T2)/ln(r2/r1).

So, the area used in case of heat flow by conduction through a cylinder is the logarithmic mean area.

Jaat boy said:   6 years ago
Yes due to radius ratio.

Gemedo geleto said:   2 years ago
Q = -KA dT/dx ---> 1
But for cylinder;
A=2*π *r*L----------> 2
and dx = dr---------->3

Substitute 2 and 3 into 1 and integrate;
Q=(T1-T2)/((1/2pkL)*ln(r2/r1)----> LMTD
=> we use Ac= 2prL.
(7)

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