Q21: indicate if the flow fields are irrotational then determine the velocity potential and the corresponding stream function for each given flow field. u=x(1 +y) ,v = 글x2-32-y, u = 1+xy (- y), (a) (b) (c) u = x+y v = 1+x-y, (d) u = 1-2x v 1+ 2y, (e) u = x-y v = 1-x-y.

Q21: indicate if the flow fields are irrotational then determine the velocity potential and the corresponding stream function for each given flow field. u=x(1 +y) ,v = 글x2-32-y, u = 1+xy (- y), (a) (b) (c) u = x+y v = 1+x-y, (d) u = 1-2x v 1+ 2y, (e) u = x-y v = 1-x-y.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Fluid Materials

In general terms, anything that flows can be termed as a fluid. In other words, a fluid is any substance that cannot resist shear forces and deforms continuously under the application of external shear forces. Fluid materials differ completely from solid materials such as metals and alloys. For instance, if we consider two infinitesimally small cross-sectional areas of fluid materials and solid materials, and apply shear forces to these elements, both the elements will undergo deformation. Upon releasing the shear force, the element of the solid materials will regain its original orientation, but the element of the fluid materials will keep on deforming continuously under the action of the shear force.

Question

This is a question of fluid mechnices

Q21: indicate if the flow fields are irrotational then determine the velocity potential and the
corresponding stream function for each given flow field.
(a)
u= x(1 + y) ,v =를x2-즐)2-y,
(b)
u = 1+xy
(c)
u = x+y
v = 1+x-y,
(d)
u = 1- 2x v =1+ 2y,
(e)
u = x-y
v = 1-x-y.

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