109年 - 109 國立高雄大學_碩士班招生考試_化學工程及材料工程學系：輸送現象#103099

科目：研究所、轉學考(插大)◆輸送現象及單元操作 | 年份：109年 | 選擇題數：0 | 申論題數：6

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所屬科目：研究所、轉學考(插大)◆輸送現象及單元操作

選擇題 (0)

申論題 (6)

1. Write the definition and physical meaning of the following numbers. And, prove that these are dimensionless groups. (i) Reynold number (Re), (ii) Nusselt number (Nu), (iii) Prandtl number (Pr), (iv) Peclet number (Pe), (v) Grashof number (Gr), (vi) Schmidt number (Sc), and (vii) Lewis number(Le) (28 分)

2. Consider a laminar-flow Newtonian fluid with constant density (ρ) and viscosity (μ) is flowing through a gap (L) between two parallel wide plates. Derive the velocity profile in this gap. (12 分)

3. Gas A diffuses, dissolves, and reacts with liquid B. The concentration of A is CAo at the free surface. The reaction rate per unit volume R _A =－k₁C_A. Find the steady-state concentration distribution of A in the liquid. Assume constant physical properties in the liquid. k 1 is rate constant. (20 分)

4. A heated sphere is surrounded and suspended in a large stationary fluid as shown in the figure. Show that Nu=2 for heat transfer from sphere at low Reynold number. Where Nu is Nusselt number. (20 分)

(a) Write the feed-line equation in the fractional distillation. (Please specify the symbols in the equation. (10 分)

(b) Specify the orientation of feed lines in the x-y plots for the following q values: (i) q＞1, (ii) q=1, (iii) 0＜ q ＜ 1, (iv) q=0, and (v) q ＜ 0, where q is the moles of liquid flow in the stripping section for each mole of feed. (10 分)