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89年 - 89 淡江大學 轉學考 流體力學#56434

科目：研究所、轉學考(插大)-流體力學 | 年份：89年 | 選擇題數：0 | 申論題數：5

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所屬科目：研究所、轉學考(插大)-流體力學

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申論題 (5)

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?
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),
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 = (3x2 + y)i - (6xy + x)j
【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
【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?