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Flow might be rotational or irrotational. If stream function (Ψ) satisfies the Laplace equation, it will be a possible case of an irrotational flow. We will discuss another term i.e. “ Equipotential line and streamline ” in fluid mechanics, in our next post.

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Lifting flow over a cylinder = uniform flow + doublet + vortex All three are irrotational except for vortex Vortex has infinite vorticity at the origin So, lifting flow over the cylinder is irrotational at every point except origin. = I V.ds =0 not including origin Similar arguments for flow over airfoil Flow outside the airfoil is irrotational

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Consider flow of an ideal flow (nonviscous and incompressible) past an airfoil as shown in Figure below. Here, as for irrotational flow past a cylinder, the lift anddrag are zero. There is a stagnation point on the bottom side near the leading edge, and another on the top sidenear the trailing edge of the foil.

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• example: acceleration from rest of a speherical bubble Lecture 22: Potential Flow Theory • the streamfunction and streamfunction-vorticity equation • complex potentials for 2D irrotational ﬂows • simple applications: ﬂow at a wall angle; sources and sinks; ﬂow past a half body; ﬂow past a cylinder with circulation

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Rotational or Irrotational Flow To classify any flow as Rotational or Irrotational the angular motion of the fluid elements is analyzed. If the angle between the two intersecting lines of the boundary of the...

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Find out information about irrotational flow. Fluid flow in which the curl of the velocity function is zero everywhere, so that the circulation of the velocity about any closed curve vanishes.