Question

dentify the true statements and relations of the velocity potential, φ = V∞x, and the stream function, ψ = Vy, for a uniform flow. Check All That Apply ∂2φ ∂x2 + ∂2φ ∂y2 = 0 ∂2 φ ∂ x2 + ∂2 φ ∂ y2 = 0 ∂2ψ ∂x2 + ∂2ψ ∂y2 = 0 ∂2 ψ ∂ x2 + ∂2 ψ ∂ y2 = 0 Both the velocity potential equation and stream function satisfy the Laplace's equation. Both the velocity potential equation and stream function satisfy the Laplace's equation. Only the stream function satisfies the Laplace's equation, not the velocity potential. Only the stream function satisfies the Laplace's equation, not the velocity potential. Only the velocity potential satisfies the Laplace's equation, not the stream function. Only the velocity potential satisfies the Laplace's equation, not the stream function. ∂2φ ∂x2 + ∂2φ ∂y2 = 1 ∂2 φ ∂ x2 + ∂2 φ ∂ y2 = 1 ∂2ψ ∂x2 + ∂2ψ ∂y2 = 1

          dentify the true statements and relations of the velocity potential, φ = V∞x, and the stream function, ψ =  Vy, for a uniform flow. 
 Check All That Apply
∂2φ ∂x2 + ∂2φ ∂y2 = 0
∂2 φ  ∂ x2   +  ∂2 φ  ∂ y2   =  0
∂2ψ ∂x2 + ∂2ψ ∂y2 = 0
∂2 ψ  ∂ x2   +  ∂2 ψ  ∂ y2   =  0
Both the velocity potential equation and stream function satisfy the Laplace's equation.
Both the velocity potential equation and stream function satisfy the Laplace's equation.
Only the stream function satisfies the Laplace's equation, not the velocity potential.
Only the stream function satisfies the Laplace's equation, not the velocity potential.
Only the velocity potential satisfies the Laplace's equation, not the stream function.
Only the velocity potential satisfies the Laplace's equation, not the stream function.
∂2φ ∂x2 + ∂2φ ∂y2 = 1
∂2 φ  ∂ x2   +  ∂2 φ  ∂ y2   =  1
∂2ψ ∂x2 + ∂2ψ ∂y2 = 1

Added by Ashley M.

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