推 kuiper2000 :好大動的考題XD 06/19 00:36
課程名稱︰流體力學
課程性質︰大氣系必修
課程教師︰林和
開課學院：理學院
開課系所︰大氣科學系
考試日期（年月日）︰2012/06/18
考試時限（分鐘）：180min
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.20%
(a)What is a linear system in the sense of differential equations and matrix?
Please give some examples.
(b)Eigen function?Example?
(c)Orthogonality?How to expand an arbitrary function on an eigenbasis?
2.20%
(a)What is the meaning of dispersion relationship? Can you give an example?
(b)Derive the disperative relationship of internal energy wave from the follow
-ing Boussinesq Approximation.(Hint:linearize equations first)
(∂u/∂t)+u(∂u/∂x)+v(∂u/∂y)+w(∂u/∂z)=-ρs (∂p/∂x)
(∂v/∂t)+u(∂v/∂x)+v(∂v/∂y)+w(∂v/∂z)=-ρs (∂p/∂y)
(∂w/∂t)+u(∂w/∂x)+v(∂w/∂y)+w(∂w/∂z)=-(ρ/ρs)-ρs (∂p/∂z)
(∂u/∂x)+(∂u/∂y)+(∂u/∂z)+(w/H)=0
(∂θ/∂t)+u(∂θ/∂x)+v(∂θ/∂y)+w*(∂θ/∂z)+(w*σ)=0
θ/θs=-(ρ/ρs)
3.20%
(a)Explain the advantage and disadvantage of using Fourier transformation part
-icularly when dealing with a local disturbance in physical space.
(b)Try your best to explain group velocity.
4.20%
(a)Derive vorticity equation,with and without the assumption of incompressibil
-ity.
(b)Explain the meaning of Jacobian term,give example.
(c)What is the Bernoulli equation?Meaning?
(d)Explain the effect of tilting-stretching term.
5.20%
(a)Explain the meaning of viscosity,for the views of both molecular and turbul
-ent scale.
(b)Derive Renold's decompisition.
(c)Show how to parameterize Renold's stress term in the form of Laplacian,try
to justify the process.
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※ 編輯: jasonccr 來自: 61.224.55.218 (06/18 21:07)