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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
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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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?
Transcribed Image Text: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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