Multiplying equations - spiral coil heat transfer

AI Thread Summary
The discussion centers on the confusion surrounding the multiplication of equations 8 and 9 related to spiral coil heat transfer. The user seeks clarification on how to derive equation 10 from the multiplication of the left-hand sides and right-hand sides of the previous equations. Despite attempts to apply the multiplication, the user finds it challenging and ultimately discovers that tedious manipulation is sufficient for their needs. The conversation highlights the complexities of mathematical derivation in the context of heat transfer equations. Ultimately, the focus is on understanding the process rather than strictly multiplying the equations.
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"multiplying equations" - spiral coil heat transfer

Hi, I was wondering if anyone could explain to me what is meant in this article by "Multiplying equations 8 & 9". I have both equation 8 and equation 9 however I cannot seem to work out how to get equation 10...not sure if it's something simple I'm missing, thanks in advance.

9vees8.png
 
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That means \mbox{LHS of (8)} \times \mbox{LHS of (9)} = \mbox{RHS of (8)} \times \mbox{RHS of (9)}. (Although I don't quite understand how they get from there to (10).)
 


Ok cheers, I did try that but I couldn't get it. Will have to try again, thanks :)
 


Thanks for your help, didn't end up needing to multiply them just required a lot of tedious manipulation!
 
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