Question

What is the Coefficient of pressure, where velocity at the surface of the cylinder is equal to free stream velocity?

• A. 1
• B. 0
• C. infinity
• D. maximum

Hint:

Coefficient of pressure is a useful parameter for comparing relative pressures along a surface in fluid flow.

Answer 1

The Correct Option is B

Step 1: Recall the Bernoulli Equation and Coefficient of Pressure.
The coefficient of pressure (\(C_p\)) is defined as: \[ C_p = 1 - \left(\frac{V}{V_\infty}\right)^2 \] where \( V \) is the local velocity and \( V_\infty \) is the free stream velocity.
Step 2: Apply Conditions. If \( V = V_\infty \), then: \[ C_p = 1 - \left(\frac{V_\infty}{V_\infty}\right)^2 = 1 - 1 = 0 \]