Quick questions about Area-Velocity relation

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SUMMARY

The area-velocity relation is primarily applicable to incompressible flow, where the density remains constant. This principle is derived under the assumption of isentropic flow, making it invalid for real gases, which are compressible fluids. The Mach number (M) plays a crucial role in this context, indicating that the area-velocity relation cannot be accurately applied to gases. For accurate experimental results, alternative methods should be considered.

PREREQUISITES
  • Understanding of the continuity equation in fluid dynamics
  • Knowledge of isentropic flow principles
  • Familiarity with Mach number (M) and its significance in compressible flow
  • Basic concepts of incompressible versus compressible fluids
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  • Research the implications of the continuity equation for incompressible fluids
  • Study isentropic flow and its applications in fluid dynamics
  • Learn about the behavior of compressible fluids and their properties
  • Explore advanced fluid dynamics topics, such as shock waves and their relation to Mach number
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Students and professionals in fluid dynamics, aerospace engineers, and anyone involved in the study of gas behavior in various flow conditions.

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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?
 
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area velocity relation?

the continuity equation?

It can only be applied to incompressible flow, the density must remain constant.
 
No, the area velocity relation is dA/A = (M^2 -1) dV/V
 
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 .
 
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