The components of a flow v= v(x,y,z, t) are given in a Cartesian basis as: Ux=...
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The components of a flow v= v(x,y,z, t) are given in a Cartesian basis as: Ux= x +2y + f(t), Vy = xy + 2, v = yz + f(t), where f(t) is an unknown function of time. Determine the acceleration field that acts on the fluid, once a steady state is obtained for the flow. 1.b) A flow v = v(x, y,z) has the components given in a Cartesian basis as: Ux = kx, Vy = -ky, V = 0, where k is a known constant. Explicitly show that this is a two-dimensional, incompressible and stationary flow. 1. c) A two-dimensional fluid flow v(x, y) is prescribed by the complex potential: w(z) = Cz + 12, where C is a real constant, i = -1 and z = x + iy. Determine the components of the flow. 1. d) A two-dimensional flow is prescribed by the stream function, p(x,y, t) et sin (y). Compute the symmetric and antisymmetric contributions made by the velocity gradients. The components of a flow v= v(x,y,z, t) are given in a Cartesian basis as: Ux= x +2y + f(t), Vy = xy + 2, v = yz + f(t), where f(t) is an unknown function of time. Determine the acceleration field that acts on the fluid, once a steady state is obtained for the flow. 1.b) A flow v = v(x, y,z) has the components given in a Cartesian basis as: Ux = kx, Vy = -ky, V = 0, where k is a known constant. Explicitly show that this is a two-dimensional, incompressible and stationary flow. 1. c) A two-dimensional fluid flow v(x, y) is prescribed by the complex potential: w(z) = Cz + 12, where C is a real constant, i = -1 and z = x + iy. Determine the components of the flow. 1. d) A two-dimensional flow is prescribed by the stream function, p(x,y, t) et sin (y). Compute the symmetric and antisymmetric contributions made by the velocity gradients.
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Accounting for Governmental and Nonprofit Entities
ISBN: 978-1259917059
18th edition
Authors: Jacqueline L. Reck, James E. Rooks, Suzanne Lowensohn, Daniel Neely
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