99年 - 99 淡江大學轉學考流體力學#55761

科目：研究所、轉學考(插大)-流體力學 | 年份：99年 | 選擇題數：0 | 申論題數：7

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 (7)

(a) u = cx/(x² + y²) and v = -cy/(x² + y²),

(b) u = -cx/y and v = c ln(xy) where c is a constant.

2. (20%) Given a 2-D flow field: V = x²y i - xy²j

Please determine the equation of the streamline passing through the point (3, 2).

(a) Please determine the vorticity of the flow at position (2, 3, 1).

(b) Is this a rotational flow? Please show it.

【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)

5. (20%) Consider an incompressible, irrotational, two-dimensional flow, where the stream function is φ= 2xy² , please find the velocity potential φ.