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

Hi all, I have this problem statement with variables:

20" Diameter, 2000mm (length, L) cylindrical container with 8mm thickness made of plastic

Container 3/4 filled with gasoline.

Question: What is the immediately surrounding temperature required outside the container to raise the temperature of gasoline, initially at 50 F, 6 F per minute.

How will the pressure change/minute inside the tank as temperature of gasoline rises.

Known: Thermal conductivity, k, of plastic (for conduction heat transfer)

Heat capacity of gasoline

Assumptions: Equal heat transfer from outside to inside through all sides

At atmospheric pressure outside

Tank fully closed (no vents, etc.)

2. Relevant equations

I know this equation q = (mass) (temp change) (Cp)

But I don't know how to incorporate heat transfer through the thickness of the container to the fluid inside the tank.

I also know that the heat transfer rate through cylindrical shell is Q(dot)= 2k(pi)L(T1-T2)/ln(r2/r1)

But how do I take into account heat transfer through circular end caps on each end of the cylinder?

3. The attempt at a solution

I have no idea how to combine heat transfer and thermodynamic aspects of this problem together to solve for what the statement is asking for, outside temperature and pressure change

Any ideas or direction will be greatly appreciated!

Thanks,

Abe

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# Temp to raise fluid temp inside a container - Heat transfer & thermodynamics

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