1️⃣ Cooling Capacity
Given:
Required capacity = 20 TR
Conversion:
1 TR = 3.517 kW
$$20 \times 3.517 = \boxed{70.34\ \text{kW}}$$20×3.517=70.34 kW​ 👉 Cooling capacity = 70.34 kW

2️⃣ Chilled Water Flow Rate
Standard chilled water design:
ΔT = 5°C (12°C → 7°C)
Formula:
$$\text{Flow (m³/hr)} = \frac{\text{TR} \times 3.517}{4.187 \times \Delta T}$$Flow (m³/hr)=4.187×ΔTTR×3.517​ Substitute values:
$$= \frac{20 \times 3.517}{4.187 \times 5}$$=4.187×520×3.517​ $$= \frac{70.34}{20.935} = \boxed{3.36\ \text{m³/hr}}$$=20.93570.34​=3.36 m³/hr​ 👉 Chilled water flow = 3.36 m³/hr

3️⃣ Condenser Water Flow Rate
Standard water-cooled condenser:
ΔT = 5°C
Condenser heat ≈ 1.25 × cooling capacity
$$70.34 \times 1.25 = 87.9\ \text{kW}$$70.34×1.25=87.9 kW Now flow calculation:
$$\text{Flow} = \frac{87.9}{4.187 \times 5}$$Flow=4.187×587.9​ $$= \frac{87.9}{20.935} = \boxed{4.2\ \text{m³/hr}}$$=20.93587.9​=4.2 m³/hr​ 👉 Condenser water flow = 4.2 m³/hr

4️⃣ Compressor Power Input
Typical COP for reciprocating chiller = 3.2
$$\text{Power} = \frac{\text{Cooling Capacity}}{\text{COP}}$$Power=COPCooling Capacity​ $$= \frac{70.34}{3.2} = \boxed{22\ \text{kW (approx)}}$$=3.270.34​=22 kW (approx)​ 👉 Compressor power ≈ 22 kW

5️⃣ Heat Rejection to Cooling Tower
$$\text{Heat Rejection} = \text{Cooling Capacity} + \text{Compressor Power}$$Heat Rejection=Cooling Capacity+Compressor Power $$= 70.34 + 22 = \boxed{92.34\ \text{kW}}$$=70.34+22=92.34 kW​
6️⃣ Cooling Tower Capacity (TR)
$$\text{CT TR} = \frac{92.34}{3.517} = \boxed{26.3\ \text{TR}}$$CT TR=3.51792.34​=26.3 TR​ 👉 Select cooling tower ≈ 27 TR