3. The stress tensor of a fluid in motion is given by -P T = T₁ .T₂ 71 T2 -P 0 0 -P] where P, T1 and t2 are known. (a) Find an expression to calculate the force exerted by the fluid on surfaces with surface area A that are perpendicular to the unit vectors (a.1) n = ei (a.2) n = Ze+ +e (b) What are the normal stresses acting on the two surfaces specified above?

3. The stress tensor of a fluid in motion is given by -P T = T₁ .T₂ 71 T2 -P 0 0 -P] where P, T1 and t2 are known. (a) Find an expression to calculate the force exerted by the fluid on surfaces with surface area A that are perpendicular to the unit vectors (a.1) n = ei (a.2) n = Ze+ +e (b) What are the normal stresses acting on the two surfaces specified above?

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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Concept explainers

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.

Question

3. The stress tensor of a fluid in motion is given by
-P T1 T2
-P 0
T = T1
T2
0 -P]
where P, ti and t2 are known.
(a) Find an expression to calculate the force exerted by the fluid on surfaces with surface area A
that are perpendicular to the unit vectors
(a.1) n = ei
√2
√2
(a.2) n = ²е₁ + ¹²е₂
(b) What are the normal stresses acting on the two surfaces specified above?

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