Surface Integrals, Stokess Theorem and
Specifying a surface:
Parametric form: X(s, t) = (x(s, t), y(s, t), z(s, t) in some region D in R2 .
Explicit function: z = g(x, y) where g is a function in some region D in R2 .
Fluid Dynamics IB
Dr Natalia Berlo
3 IRROTATIONAL FLOWS, aka POTENTIAL FLOWS
Irrotational ows are also known as potential ows because the velocity eld can be taken
to be the gradient of a
3.1 Velocity potential.
That is, an irrotational ow has a velocity
Doklady Physics, Vol. 49, No. 2, 2004, pp. 127131. Translated from Doklady Akademii Nauk, Vol. 394, No. 5, 2004, pp. 626630.
Original Russian Text Copyright 2004 by Shcheprov.
Analytical Solutions of NavierStokes Equations
for Axisymmetric and P