Change of Variable for Limit Coating Hypothesis | Exam Study Help

In summary, a change of variable is a mathematical concept used in scientific research to simplify complex equations and make them easier to analyze or solve. It can significantly impact the outcome of an experiment or study by altering the way data is collected, analyzed, and interpreted. Common techniques for implementing a change of variable include substitution, transformation, and integration. However, there can be limitations and challenges associated with its use, such as difficulty finding a suitable substitution and complex transformed equations. Nonetheless, a change of variable can be applied in various fields of scientific research and is a fundamental concept for understanding natural phenomena.
  • #1
Frenchie_Girl
1
0
I'm french and my englis is bad sorry but i need help !

My exam :

In this part of the study, we considered the hypothesis of limit coat and that the gradients of pressure are negligible in this limit coat. The previous system is :

http://nsm05.casimages.com/img/2011/01/20//110120113941704087499697.png

With limits condition of Dirichlet.

With a change of varaible, the eqaution 6.0 to 8.0 give :

http://nsm05.casimages.com/img/2011/01/20//110120113941704087499696.png


Can you help me ?
 
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  • #2
"limit coat"? Could you mean "boundary layer"?
 

1. What is a change of variable and why is it used in scientific research?

A change of variable is a mathematical concept that involves replacing one variable with another in a given equation or function. It is commonly used in scientific research to simplify complex equations and make them easier to analyze or solve.

2. How does a change of variable impact the outcome of an experiment or study?

A change of variable can significantly impact the outcome of an experiment or study by altering the way data is collected, analyzed, and interpreted. It can also help in identifying patterns and relationships that may not have been apparent before.

3. What are some common techniques for implementing a change of variable in scientific research?

There are several techniques for implementing a change of variable in scientific research, including substitution, transformation, and integration. Each technique has its own advantages and is used depending on the specific research question.

4. Are there any limitations or challenges associated with using a change of variable in scientific research?

Yes, there can be limitations and challenges when using a change of variable in scientific research. For example, it may not always be possible to find a suitable variable substitution, and the transformed equation may be more complex than the original one, making it difficult to interpret.

5. Can a change of variable be applied in all areas of scientific research?

Yes, a change of variable can be applied in various fields of scientific research, including mathematics, physics, chemistry, and biology. It is a fundamental concept that can be used to solve problems and gain a deeper understanding of various phenomena in nature.

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