102年 - 102 淡江大學轉學考流體力學#53077

科目：研究所、轉學考(插大)-流體力學 | 年份：102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. Write down the definitions for pressure, force, moment, momentum, and stress. Also fully discuss the relation of pressure and shear stress such as their dimensions, directions, vector or scalar, and their usages in fluid dynamics. (20%)

【已刪除】2. The mass conservation equation has the form:

. Now derive the 3-D incompressible continuity equation in Cartesian coordinates form.

3. First write down the definition for Reynolds number, explain its physical meaning in details. Also explain its relation to laminar flow, turbulent flow, and flow transition. Why flow could never change from turbulent to laminar, and always change from laminar to turbulent? Explain reasons in details. (20%)

【已刪除】4. The frequently used Euler equation is as follow:

Please explain the physical meanings of the entire equation and each term. Now for a 1-D, steady, and incompressible flow, derive the famous Bernoulli’s equation from above equation.

【已刪除】4. For a 2-D, irrotational, incompressible, X-direction uniform flow, its velocity components in Cartesian coordinates have the form of u=V

, v=0. Now first prove that these velocity components indeed satisfy both the incompressible and irrotational assumptions, and then also derive its velocity potential expression in Cartesian coordinates. (20%)