# Time-independent velocity fields

Drag sliders to change parameters.

• Near a wall (Stagnation point): $\mathbf{v}(x,y)=(k\,x,-k\,y)$, with $k\in \mathbb R^{+}$.

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• Rigid body rotation: $\mathbf{v}(x,y)=(-w\,y,w\,x)$, where $w\in \mathbb R$ For $w>0$, rotation is anticlockwise, and for $w < 0$ rotation is clockwise.

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• Vortex: $\mathbf{v}(x,y)=\left(\dfrac{-k\,y}{x^2+y^2},\dfrac{k\,x}{x^2+y^2}\right)$, with $k\in \mathbb R.$ For $k>0$, rotation is anticlockwise, and for $k < 0$ rotation is clockwise.

• Sorry, the sketch is not supported for small screens.

• Source & Sink: $\mathbf{v}(x,y)=\left(\dfrac{k\,x}{x^2+y^2},\dfrac{k\,y}{x^2+y^2}\right)$, with $k\in \mathbb R.$ For $k>0$, the flow is a source, and for $k < 0$ the flow is a sink.

• Sorry, the sketch is not supported for small screens.