103年 - 103 國立嘉義大學_碩士班(乙組)招生考試試題_土木與水資源工程學系：流體力學#146041

1. Let two layers of fluid be dragged along by motion of an upper plate as shown in Fig. The bottom plate is stationary. The top fluid puts a shear stress on the upper plate, and the lower fluid puts a shear stress on the bottom plate. Determine the ratio of these two shear stresses. (20％)

2. A tank wall has the shape shown in Fig. Determine the horizontal and vertical components of force of the water on a 1-ft-width (normal to the figure) of the curved section AB. (20％)

(1) Determine the pressure gradient, \( \frac{\partial p}{\partial x} \) (as a function of \( x \)), needed to produce this flow.

(2) If the pressure at section (1) is 50 psi, determine the pressure at (2) by integration of the pressure gradient and application of the Bernoulli equation. (20％)

(1) What is the definition of Reynolds number?

(2) What is Stokes Theorem?

(3) What is Prandtl boundary layer equation?

(4) What is the definition of dynamic viscosity and eddy viscosity?

(1) cavitation

(2) velocity head

(3) d’Alembert’s paradox

(4) separation point

(5) Poiseuille flow