- #1

- 44

- 0

if the velocity potential Φ = Φ(x,y,t).

and it says Φ satifies laplace's equation.

does that mean ∂²Φ/∂x² + ∂²Φ/∂y² = 0

or

∂²Φ/∂x² + ∂²Φ/∂y² + ∂²Φ/∂t² = 0.

does the time variable get included??

i'm thinking it isn't but i'm not exactly sure.

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- Thread starter Qyzren
- Start date

- #1

- 44

- 0

if the velocity potential Φ = Φ(x,y,t).

and it says Φ satifies laplace's equation.

does that mean ∂²Φ/∂x² + ∂²Φ/∂y² = 0

or

∂²Φ/∂x² + ∂²Φ/∂y² + ∂²Φ/∂t² = 0.

does the time variable get included??

i'm thinking it isn't but i'm not exactly sure.

- #2

HallsofIvy

Science Advisor

Homework Helper

- 41,847

- 966

[tex]\frac{\partial^2 \phi}{\partial x^2}+ \frac{\partial^2 \phi}{\partial y^2}= 0[/itex]

. Usually, Laplaces's equation is for functions that are independent of t.

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