Quick questions about Area-Velocity relation

  • Thread starter piano_girl
  • Start date
  • Tags
    Relation
In summary, the conversation discusses the validity of an equation for real gases and its application to square ducts and the continuity equation. It is stated that the equation is based on the assumption of isentropic flow and can only be applied to incompressible flow with constant density. One participant asks for clarification on the use of the equation for different types of gases, to which another participant explains that it can be applied to compressible fluids. The equation is identified as the area velocity relation, with the Mach number being a key factor. It is mentioned that the accuracy of the equation may not be perfect for experimental purposes, but the results derived from it are still useful.
  • #1
piano_girl
9
0
Is it valid for real gases? My initial thought would be no, since the derivation is based on the assumption that the flow is isentropic.

Is it valid for square ducts?
 
Engineering news on Phys.org
  • #2
area velocity relation?

the continuity equation?

It can only be applied to incompressible flow, the density must remain constant.
 
  • #3
No, the area velocity relation is dA/A = (M^2 -1) dV/V
 
  • #4
hi piano girl-
what is the M?-can u tell us about this equation more clear?,and please tell us which kind of gases this equation can be applied?-continuity equation can't be applied for the gases-its only as Mr:mybsaccownt said-for incompressible flow-and the gases is an compressible fluids-in which the density not constant.
waiting you to tell us about this equation-it might be important,thanks .
 
Last edited:
  • #5

What is the Area-Velocity relation?

The Area-Velocity relation is a mathematical formula that describes the relationship between the area of a moving object and its velocity.

How is the Area-Velocity relation used in science?

The Area-Velocity relation is used to calculate the rate at which an object is moving through a specific area. This is useful in various fields such as fluid mechanics, aerodynamics, and meteorology.

What are the units for the Area-Velocity relation?

The units for the Area-Velocity relation depend on the specific application. In fluid mechanics, the units are typically meters squared per second (m^2/s). In aerodynamics, the units can be meters cubed per second (m^3/s) or feet squared per second (ft^2/s).

How is the Area-Velocity relation derived?

The Area-Velocity relation is derived from the basic principles of calculus and is often represented as a differential equation. It can also be derived using dimensional analysis.

What are some real-world examples of the Area-Velocity relation?

The Area-Velocity relation can be observed in many everyday situations, such as water flowing through a pipe, air passing over an airplane wing, or blood circulating through the human body. It is also used in scientific experiments and simulations to understand and predict the behavior of fluids and gases.

Similar threads

  • Mechanical Engineering
Replies
2
Views
170
Replies
1
Views
1K
Replies
1
Views
869
  • Classical Physics
Replies
3
Views
442
  • Materials and Chemical Engineering
Replies
1
Views
403
  • Mechanical Engineering
Replies
0
Views
376
  • Mechanical Engineering
Replies
11
Views
1K
  • Aerospace Engineering
Replies
2
Views
1K
  • Atomic and Condensed Matter
Replies
7
Views
793
  • STEM Educators and Teaching
Replies
4
Views
845
Back
Top