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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
1 • (20%) Determine which of the following pairs of velocity components u and v satisfy the equation of continuity for a 2D incompressible flow.
(a) u = cx/(x
2
+ y
2
) and v = -cy/(x
2
+ y
2
),
其他申論題
(i) Find the UMP test with significance level 0.1.
#210688
【已刪除】(ii)
#210689
【已刪除】(i). Show (,ha,t the maximum likdihood cstiinator of", and respectively.
#210690
【已刪除】(ii).
#210691
(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
(b) Is this a rotational flow? Please show it.
#210696
【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