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研究所、轉學考(插大)-流體力學
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89年 - 89 淡江大學 轉學考 流體力學#56434
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3. (20%) Calculate the circulation about the square enclosed by x = ±1 and y = ±1 in the xy-plane for the two-dimensional flow given by V = (3x
2
+ y)i - (6xy + x)j
其他申論題
9. Find and classify all relative extrema for the function f(x,y) = x4 + y4 - 4xy
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【已刪除】10. Fiiul the volume of tlie solid lliat is bovmdetl by tlie surface and over the region bomided by x- axis , y=x and x=2
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1 . (20%) In a two-dimensional, planar flow of an incompressible fluid，the x-component of velocity is given by u = x2 + x - 2y Can you find an expression for v?
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2. (20%) The velocity field of a steady, incompressible flow is given as V = (3x2 - 2xy)i + (y2 - 6xy + 3 yz2)j -(z3 + xy2)k. Determine the pressure gradient at the position (x，y，z) = (2，3，1),
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【已刪除】4. (20%) A steady，two-dimensional, incompressible flow occurs between two fixed plane surfaces spaced at a distance b apart. The velocity profile is a parabola with its vertex at the center line. Determine the stream
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【已刪除】5. (20%) For turbulent flow in a smooth pipe with pVD/μ ＜ 105，the velocity profile in the turbulent core can be approximated by the following power equation: where y and r are respectively the distances measured from the pipe wall and the pipe axis, and ro is the radius of the pipe. What is the average velocity V of this pipe flow if expressed in umax?
#214377
【已刪除】1. Find vo in the circuit of Fig. 1. 20%
#214378
【已刪除】2. In the op amp circuit of Fig. 2, vs = 4u(t) V, find the zero-state response vu(t) for t ≥ 0. 20%
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【已刪除】3. The circuit of Fig. 3 has reached steady state when the switch S is open. The switch S is closed at t = 0. Find and plot v(t), 0. 20%
#214380
【已刪除】(a)
#214381
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