Multiplying equations - spiral coil heat transfer

In summary, the conversation is about multiplying equations 8 and 9 in order to obtain equation 10. The process involves multiplying the left-hand side of equation 8 with the left-hand side of equation 9, and the right-hand side of equation 8 with the right-hand side of equation 9. However, there may be some confusion on how to get from this step to equation 10. The person asking for help tried this method but couldn't get the desired result and ended up finding a different solution.
  • #1
luznyr
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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.

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  • #2


That means [itex]\mbox{LHS of (8)} \times \mbox{LHS of (9)} = \mbox{RHS of (8)} \times \mbox{RHS of (9)}[/itex]. (Although I don't quite understand how they get from there to (10).)
 
  • #3


Ok cheers, I did try that but I couldn't get it. Will have to try again, thanks :)
 
  • #4


Thanks for your help, didn't end up needing to multiply them just required a lot of tedious manipulation!
 
  • #5


Multiplying equations 8 and 9 in the context of spiral coil heat transfer refers to the mathematical process of combining these two equations to obtain a new equation, which is labeled as equation 10. This could be done in order to simplify the equations or to derive a new relationship between the variables involved in the heat transfer process. It is important to carefully follow the steps and assumptions made in the article to accurately multiply the equations and obtain the desired result. Additionally, it may be helpful to check for any potential errors or missing information that could be causing difficulty in obtaining equation 10.
 

1. What is the purpose of multiplying equations in spiral coil heat transfer?

The purpose of multiplying equations in spiral coil heat transfer is to determine the amount of heat transferred between two mediums or the heat transfer coefficient. This is important in understanding the efficiency of a heat exchanger and can help in designing more efficient systems.

2. How do you multiply equations in spiral coil heat transfer?

To multiply equations in spiral coil heat transfer, you need to first identify the variables involved in the heat transfer process. These can include temperature, heat flux, and heat transfer coefficient. Then, you can use algebraic manipulation and multiplication to combine the equations and solve for the desired variable.

3. Can multiplying equations in spiral coil heat transfer be used for all types of heat exchangers?

Yes, multiplying equations in spiral coil heat transfer can be used for all types of heat exchangers as long as the heat transfer process is well understood and the appropriate variables are included in the equations. The specific equation used may vary depending on the type of heat exchanger, but the general concept of multiplying equations remains the same.

4. What are some common challenges when multiplying equations in spiral coil heat transfer?

One common challenge when multiplying equations in spiral coil heat transfer is ensuring that all the variables are properly accounted for and that the equations are being multiplied correctly. Additionally, the equations may become more complex and difficult to solve as more variables are added or when dealing with non-linear systems.

5. Are there any limitations to multiplying equations in spiral coil heat transfer?

While multiplying equations in spiral coil heat transfer is a useful tool, there are some limitations. It assumes that the heat transfer process is steady-state and that there are no external factors affecting the heat transfer. Additionally, the accuracy of the results may also be affected by the assumptions made in the equations and the quality of the data used to determine the variables.

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