V Thermo-chiller Q x �ｪt: Heat volume [kJ] 20°C Water bath After 15 minutes, cool 32°C down to 20°C. Required Cooling Capacity Calculation Circulating Fluid Typical Physical Property Values Precautions on Cooling Capacity Calculation Note) This is the calculated value by changing the fluid temperature only. Thus, it varies substantially depending on the water bath or piping shape. Heat quantity by cooled substance (per unit time) Q Cooled substance Cooled substance mass m Cooled substance density ρ Cooled substance total volume V Cooled substance specific heat capacity C Cooled substance temperature when cooling begins T0 Cooled substance temperature after t hour Tt Cooling temperature difference �ｪT Cooling time �ｪt : Unknown [W] ([J/s]) : Water : (= ρ x V) [kg] : 1 [kg/L] : 20 [dm3] : 4.2 x 103 [J/(kg・K)] : 305 [K] (32 [°C]) : 293 [K] (20 [°C]) : 12 [K] (= T0 . Tt) : 900 [s] (= 15 [min]) Heat quantity by cooled substance (per unit time) Q Cooled substance Cooled substance weight m Cooled substance weight volume ratio �､ Cooled substance total volume V Cooled substance specific heat capacity C Cooled substance temperature when cooling begins T0 Cooled substance temperature after t hour Tt Cooling temperature difference �ｪT Cooling time �ｪt Conversion factor: hours to minutes Conversion factor: kcal/h to kW : Unknown [cal/h] → [W] : Water : (= ρ x V) [kgf] : 1 [kgf/L] : 20 [L] : 1.0 x 103 [cal/(kgf・°C)] : 32 [°C] : 20 [°C] : 12 [°C] (= T0 . Tt) : 15 [min] : 60 [min/h] : 860 [(cal/h)/W] Example of conventional measurement units (Reference) Cooling capacity = Considering a safety factor of 20%, 1120 [W] x 1.2 = 1344 [W] Q = m x C x (Tt . T0) �ｪt = ρ x V x C x �ｪT �ｪt = 1 x 20 x 4.2 x 103 x 12 900 = 1120 [J/s] . 1120 [W] Q = m x C x (Tt . T0) �ｪt x 860 = �､ x V x 60 x C x �ｪT �ｪt x 860 = 1 x 20 x 60 x 1.0 x 103 x 12 15 x 860 . 1120 [W] . Refer to the following for the typical physical property values by circulating fluid. Cooling capacity = Considering a safety factor of 20%, 1120 [W] x 1.2 = 1344 [W] 1. Heating capacity When the circulating fluid temperature is set above room temperature, it needs to be heated by the Thermo-chiller. The heating capacity depends on the circulating fluid temperature. Consider the radiation rate and heat capacity of the customer’s machine and check beforehand if the required heating capacity is provided. 2. Pump capacity Circulating fluid flow rate varies depending on the circulating fluid discharge pressure. Consider the installation height difference between the Thermo-chiller and a customer’s machine, and the piping resistance such as circulating fluid pipings, or piping size, or piping curves in the machine. Check beforehand if the required flow is achieved, using the pump capacity curves. Circulating fluid discharge pressure has the possibility to increase up to the maximum pressure in the pump capacity curves. Check beforehand if the circulating fluid pipings or circulating fluid circuit of the customer’s machine are fully durable against this pressure. 1. This catalog uses the following values for density and specific heat capacity in calculating the required cooling capacity. Density ρ: 1 [kg/L] (or, using conventional unit system, weight volume ratio �､ = 1 [kgf/L]) Specific heat capacity C: 4.19 x 103 [J/(kg・K)] (or, using conventional unit system, 1 x 103 [cal/(kgf・°C)]) 2. Values for density and specific heat capacity change slightly according to temperature shown below. Use this as a reference. Note) The above shown are reference values. Please contact circulating fluid supplier for details. Water Conventional unit system 5°C 10°C 15°C 20°C 25°C 30°C 35°C 40°C Density ρ [kg/L] Specific heat C [cal/(kgf・°C)] Specific heat C [J/(kg・K)] Weight volume ratio �､ [kgf/L] 4.2 x 103 4.19 x 103 4.19 x 103 4.18 x 103 4.18 x 103 4.18 x 103 4.18 x 103 4.18 x 103 1 x 103 1 x 103 1 x 103 1 x 103 1 x 103 1 x 103 1 x 103 1 x 103 1.00 1.00 1.00 1.00 1.00 1.00 0.99 0.99 1.00 1.00 1.00 1.00 1.00 1.00 0.99 0.99 Conventional unit system 5°C 10°C 15°C 20°C 25°C 30°C 35°C 40°C Weight volume ratio �､ [kgf/L] Specific heat C [cal/(kgf・°C)] 3.91 x 103 3.91 x 103 3.91 x 103 3.91 x 103 3.91 x 103 3.91 x 103 3.91 x 103 3.92 x 103 0.93 x 103 0.93 x 103 0.93 x 103 0.93 x 103 0.93 x 103 0.94 x 103 0.94 x 103 0.94 x 103 1.02 1.02 1.02 1.01 1.01 1.01 1.01 1.01 1.02 1.02 1.02 1.01 1.01 1.01 1.01 1.01 15% Ethylene Glycol Aqueous Solution Physical property value Temperature Physical property value Temperature Density ρ [kg/L] Specific heat C [J/(kg・K)] Example 3: When there is no heat generation, and when cooling the object below a certain temperature and period of time. Cooling Capacity Calculation Series HRS 1309 HRG HRS HRZ HRZD HRW HEC HEB HED HEA IDH