Reynolds Transport Theorem and Volume calculation

In summary, the relation between Reynolds Transport Theorem and Volume Calculation lies in the fact that both involve the calculation of volumes in thermodynamics, heat transfer, and fluid mechanics. The problem given under RTT likely involves the use of control volumes in solving the question.
  • #1
mech-eng
828
13
I cannot understand the the relation between Reynolds Transport Theorem and Volume Calculation.

Volume calculation is an simple, straightforward process which, I think, have much connection between Reynolds Transport Theorem. We calculate volumes in thermodynamics, heat transfer and fluid mechanics. So I would like to ask why this problem is given under RTT.

https://www.physicsforums.com/attachments/197658

Source: A Brief Introduction to Fluid Mechnanics by Munson/Young/Okiishi/Huebsch.

Thank you.
 
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  • #2
mech-eng said:
I cannot understand the the relation between Reynolds Transport Theorem and Volume Calculation.

Volume calculation is an simple, straightforward process which, I think, have much connection between Reynolds Transport Theorem. We calculate volumes in thermodynamics, heat transfer and fluid mechanics. So I would like to ask why this problem is given under RTT.

https://www.physicsforums.com/attachments/197658

Source: A Brief Introduction to Fluid Mechnanics by Munson/Young/Okiishi/Huebsch.

Thank you.
I get an error message when I click on your link.
 
  • #3
Sorry, the title which questions belonging to have also control volumes. Then the question is solved.

Thank you.
 

FAQ: Reynolds Transport Theorem and Volume calculation

What is the Reynolds Transport Theorem?

The Reynolds Transport Theorem is a fundamental concept in fluid mechanics that describes the conservation of mass, momentum, and energy within a control volume.

How is the Reynolds Transport Theorem different from other transport theorems?

The Reynolds Transport Theorem is unique in that it considers the motion of the control volume itself, rather than just the fluid particles within it. This allows for a more comprehensive understanding of the fluid flow.

How is the volume of a control volume calculated using the Reynolds Transport Theorem?

The volume of a control volume can be calculated by integrating the velocity vector across the control surface, taking into account any changes in position or orientation of the control volume.

What are some applications of the Reynolds Transport Theorem?

The Reynolds Transport Theorem is widely used in many fields, including aerodynamics, hydraulics, and chemical engineering. It is especially useful for analyzing complex fluid flows, such as those in turbomachinery or in environmental fluid mechanics.

Are there any limitations to the use of the Reynolds Transport Theorem?

Like any mathematical model, the Reynolds Transport Theorem has its limitations. It assumes steady-state flow and neglects certain phenomena such as turbulence, which may be significant in some cases. Additionally, it may be challenging to apply in highly unsteady or complex flow situations.

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