1. Explain the importance in CFD of the following equations.Some important linear partial differential equations in fluid dynamics are :a?ua²u1. 1-D wave equation2. 1-D heat conduction equationkwhere a :(PC, )a’u a?uôx? ' ây?= v?u = 03. 2-D Laplace equation+.2a²u a²u4. 2-D Poisson equationv²u = f(x,y)ây?+a²u a?u_ a²u5..3-D Laplace equation= v? u = 0+ay? ' ôz?

The importance of linear equation will be given as: 1. 1-D wave equation: This equation is…

Some important linear partial differential equations in fluid dynamics are : a²u 1. 1-D wave equation T 2. 1-D heat conduction equation k where a Əx (pC,) a'u a'u Ôx² ' @y 3. 2-D Laplace equation v?u = 0 a’u a²u 4. 2-D Poisson equation v² u = f(x,y) %3D

Some important linear partial differential equations in fluid dynamics are : a²u 1. 1-D wave equation T 2. 1-D heat conduction equation k where a Əx (pC,) a'u a'u Ôx² ' @y 3. 2-D Laplace equation v?u = 0 a’u a²u 4. 2-D Poisson equation v² u = f(x,y) %3D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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

1. Explain the importance in CFD of the following equations.
Some important linear partial differential equations in fluid dynamics are :
a?u
a²u
1. 1-D wave equation
2. 1-D heat conduction equation
k
where a :
(PC, )
a’u a?u
ôx? ' ây?
= v?u = 0
3. 2-D Laplace equation
+
.2
a²u a²u
4. 2-D Poisson equation
v²u = f(x,y)
ây?
+
a²u a?u_ a²u
5..3-D Laplace equation
= v? u = 0
+
ay? ' ôz?

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