5. A fluid flow is given by the velocity field: V = (-2xe)i + 2(e +x³e2*)j a) Is this flow field 1-D, 2-D, or 3-D? Is this flow field steady or unsteady? b) Determine the acceleration field at the point (-5,5), đ = a,î + ayĵ + a,k. c) Determine the vorticity vector at the point (-5,5), = wzî+ wyf+ w,k. d) Determine the rate of dilatation at the point (-5,5), V. e) Determine the rate of angular strain components at the point (-5,5), Ɛxy, Exz, Eyz.

5. A fluid flow is given by the velocity field: V = (-2xe)i + 2(e +x³e2*)j a) Is this flow field 1-D, 2-D, or 3-D? Is this flow field steady or unsteady? b) Determine the acceleration field at the point (-5,5), đ = a,î + ayĵ + a,k. c) Determine the vorticity vector at the point (-5,5), = wzî+ wyf+ w,k. d) Determine the rate of dilatation at the point (-5,5), V. e) Determine the rate of angular strain components at the point (-5,5), Ɛxy, Exz, Eyz.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

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5. A fluid flow is given by the velocity field: V = (-2xe')î + 2(e +x³e2*)j
a) Is this flow field 1-D, 2-D, or 3-D? Is this flow field steady or unsteady?
b) Determine the acceleration field at the point (-5,5), å = azî + a,j + a,k.
c) Determine the vorticity vector at the point (-5,5), = Wzî+ wyf + wzk.
d) Determine the rate of dilatation at the point (-5,5), .V.
e) Determine the rate of angular strain components at the point (-5,5), Exy, Exz, Eyz.

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