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

試卷資訊

所屬科目：研究所、轉學考(插大)-流體力學

選擇題 (0)

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 u_max?