Use the mapping function w = z2 to find the streamlines for the flow of wateraround the inside of a right-angle boundary. Find the velocity potential Φ, thestream function Ψ, and the velocity V = ∇Φ.

Use the mapping function w = z2 to find the streamlines for the flow of wateraround the inside of a right-angle boundary. Find the velocity potential Φ, thestream function Ψ, and the velocity V = ∇Φ.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.23P

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Question

Use the mapping function w = z² to find the streamlines for the flow of water
around the inside of a right-angle boundary. Find the velocity potential Φ, the
stream function Ψ, and the velocity V = ∇Φ.

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