Transport Phenomena _Lecture 34_R. Ravi

Lecture 34: Bernoulli theorems for a perfect fluid and an incompressible linearly viscous fluid; Irrotational flow as a flow governed by a potential Up to 14 min.: Bernoulli theorems for a perfect fluid: ii) Steady flow: Proof that the quantity H is constant along streamlines and vortex lines 14 min. – 27 min.: Bernoulli theorem for flow of an incompressible, linearly viscous fluid: i) Steady, irrotational flow; ii) Steady flow; Proof that the quantity H is a constant of the flow for case i). 27 min. – end: Irrotational flow as a potential flow; stream function vs potential function: similarities and differences; 2-D irrotational flow past a cylinder References: R. Aris, Vectors, tensors and the equations of Fluid Mechanics; R. B. Bird, W. E. Stewart, E. N. Lightfoot, Transport Phenomena