Finding tube surface temperature for HX tube

[farhan07]

HI,

I am trying to find the T.s value in this file. Please  help me out. ThanksEnergy balance equation on surface of tube (Taking solar energy as source)

[terryhendicott]

Hi,

You have unmatched terms in the Find statement, add Qfluid to right hand side of the equation for consistency.

The left hand side should be a column vector rather than row vector.

If you upload you worksheet by first making it a zip file, it is possible to show you.

Cheers

Terry

[farhan07]

Thanks Terry for your help.

But i have tried it before as you said.Anyhow, i am uploading this file here. Please have a look and point out the error.

Thanks.

[LucMeekes]

I should expect Qrad to be (also) part of the top equation in the solve block (the one with Qabs=Qfluid+...).

And what about Qcond?

Success!
Luc

[farhan07]

Thanks, Luc.

True. Qcond should absolutely be part of the Qabs equation. Actually i got stuck while sloving these equations. But eventually i need to add two resistance values in overall Qcond as in my design i want to add thin sheet of aluminum on tubes to make whole conduction process more effective. So R.tot = R.conv1+Rcond1+Rcond2+Rconv2.   

And Aluminum sheet between tubes will also help to conduct the heat flux. 

I share screenshot of design.

What do you suggest in this scanerioMultilayer

[farhan07]

Thanks, Luc.

True. Qcond should absolutely be part of the Qabs equation. Actually i got stuck while sloving these equations. But eventually i need to add two resistance values in overall Qcond as in my design i want to add thin sheet of aluminum on tubes to make whole conduction process more effective. So R.tot = R.conv1+Rcond1+Rcond2+Rconv2.   

And Aluminum sheet between tubes will also help to conduct the heat flux. 

I share screenshot of design.

What do you suggest in this scanerio?Multilayer

[AlanStevens · Accepted solution]

You shouldn't be solving for Qabs as it's independent of any of the other Qs and Ts.  It can be fixed above the solve block.  Either (i) you should include an expression for Qcond, including values for conductivity, thickness etc., or (ii) replace Qcond in the first equality within the solve block by Qrad (I suspect Qrad should be included in this first expression anyway, as Luc noted).  See below for my suggested solution for (ii):

(I wasn't able to open your .rar file)

Alan

[farhan07]

Thanks, Alan.

I tried to upload the file. Sorry i don't know what happend with it.

You highlighted such a good point about not using Qabs in find syntax. Sometime it's really hard to point out the errors. 

True (Qcond). As i got stuck in these equations. I will absolutely add Qcond factor in these equation.

Initially, i started to solve these equations without units but now i check with units. 

Thanks for your help, Alan.

[farhan07]

Hi Alan,

There is stil error while solving the equation with units. In case of conduction,I reviewed my calculation so in case of heat transfer to fluid inside tube i have added the conduction and convection resistance in it. So i think Qfluid is total heat transfer to fluid including conduction and convection factor.

if there is downloading issue then i can upload again.

Thanks

Farhan

[AlanStevens]

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@farhan07 wrote:

In case of conduction,I reviewed my calculation so in case of heat transfer to fluid inside tube i have added the conduction and convection resistance in it. So i think Qfluid is total heat transfer to fluid including conduction and convection factor.

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This is the best approach as long as you aren't interested in the tube wall temperatures.

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There is stil error while solving the equation with units.

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Mathcad 15 doesn't like mixed units within a single vector or matrix.  

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if there is downloading issue then i can upload again.

---

I'm still unable to open your .rar file.  I can download it ok, but 7-Zip, which I use for .rar files, says it can't open it!

Alan

[VladimirN]

 Alan,

Please find this file in ".zip" format in attachment.

[farhan07]

Thanks Alan.

I am using Mathcad 14 so there might be problem to solve these equation in that version. Anyhow i am uploading again please point out the errors.

Thanks 

[AlanStevens]

Ok.  I can open both of these files.  See attached for solution.  I've only done one file; the same approach can be used with the other.

Alan

[farhan07]

Thanks Alan.

By using your apporach, i got the same values without dividing and multiplying with units. Anyhow this also works now. Thanks for your help.

[AlanStevens]

Well done!

Alan

[LucMeekes]

Or like this (why do I get a different temperature?):

Obviously the 4th is the only one that can apply...

You can even get a fully symbolic solution, although that is not easy to handle due to it's size...

Success!
Luc

[AlanStevens]

You have sigma with 10^8 instead of 10^-8 Luc!

Alan

[LucMeekes]

You're right. How did I miss that?

Anyway, with the correct value I get the same answer as you.

Luc

[farhan07]

Thanks Luc for your help. 

This solution is more easier to understand. 

Thanks