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In a two-dimensional flow, the Laplace equation for the velocity potential function (φ) is given by

11. In a two-dimensional flow, the Laplace equation for the velocity potential function (φ) is given by:

1. ²φ = 0
2. φ = 0
3. ∂²φ/∂x² + ∂²φ/∂y² = 0
4. ∂φ/∂x + ∂φ/∂y = 0

Answer: C) ∂²φ/∂x² + ∂²φ/∂y² = 0

Explanation:

The Laplace equation for the velocity potential function in a two-dimensional flow is ∂²φ/∂x² + ∂²φ/∂y² = 0. This equation represents the condition for an irrotational flow.