Question

Which of the following is a barotropic flow?

• A. Density depends only on the temperature
• B. Density independent of pressure
• C. Density depends only on the pressure
• D. Density independent of temperature

Hint:

Understanding the distinction between barotropic and non-barotropic flows is crucial for correct modeling in fluid dynamics, especially in meteorology and oceanography.

Answer 1

The Correct Option is C

Step 1: Define Barotropic Flow.
A barotropic flow is characterized by a state where the density is a function solely of the pressure.
Step 2: Analyze the Options.
In a barotropic flow: - The density cannot depend solely on temperature, as this ignores pressure effects. - The density cannot be independent of pressure as pressure variations affect density. - The density cannot be independent of temperature; however, in barotropic flow, the primary dependency is on pressure, not temperature.
Step 3: Correct Conclusion.
The correct characterization of a barotropic flow is that density depends only on the pressure, aligning with the definition of barotropic conditions in fluid dynamics.