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研究所、轉學考(插大)-流體力學
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99年 - 99 淡江大學 轉學考 流體力學#55761
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題組內容
3. (20%) Given a velocity field: V = (3x
2
- 2xy) / + (y
2
- 6xy + 3yz
2
)j - (z
3
+ xy
2
)k
(b) Is this a rotational flow? Please show it.
其他申論題
(a) u = cx/(x2 + y2) and v = -cy/(x2 + y2),
#210692
(b) u = -cx/y and v = c ln(xy) where c is a constant.
#210693
2. (20%) Given a 2-D flow field: V = x2y i - xy2 j Please determine the equation of the streamline passing through the point (3, 2).
#210694
(a) Please determine the vorticity of the flow at position (2, 3, 1).
#210695
【已刪除】4. (20%) Calculate the circulation about the square enclosed by x = ±1 and y = ±1 in the xy-plane for the 2-D flow of V- u / + v j, where u = 3x2 + y and v = - (6xy + x)
#210697
5. (20%) Consider an incompressible, irrotational, two-dimensional flow, where the stream function is φ= 2xy2 , please find the velocity potential φ.
#210698
(A)誘發性消費支出會變動多少(10分)?
#210699
(B)儲蓄總額會變動多少(10分)?
#210700
(C)政府的預算赤字(或盈餘)會變動多少(10分)?
#210701
(A)請寫下張小姐此時的預算限制式,並畫出預算線(7分)。
#210702