In a two-dimensional flow of fluid- if a velocity potential function - exists which satisfies the relation -2- x2-2- y2-0- then the flow is -

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Velocity Potential Function

In a two-dime...

Question

In a two-dimensional flow of fluid, if a velocity potential function $ϕ$ exists which satisfies the relation $\frac{\partial^{2} ϕ}{\partial x^{2}} + \frac{\partial^{2} ϕ}{\partial y^{2}} = 0$ , then the flow is :

Steady incompressible.

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Steady laminar incompressible.

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Irrotational and incompressible.

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Turbulent incompressible.

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Solution

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Similar questions

\frac{\partial^{2} ϕ}{\partial x^{2}} + \frac{\partial^{2} ϕ}{\partial y^{2}} + \frac{\partial ϕ}{\partial x} + \frac{\partial ϕ}{\partial y} = 0

ϕ = l o g_{e} (x^{2} + y^{2})

ψ

ϕ = a x^{2} y - y^{3}

▽^{2} ϕ

^{'} a^{'}

▽ \times u = 0

u = ▽ ϕ

(ϕ)

\frac{\partial^{2} ϕ}{\partial x^{2}} + \frac{\partial^{2} ϕ}{\partial y^{2}}

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