MIL-HDBK-1003/1
Use the Hotel column to size central SWH systems for Bachelor Housing and Navy Lodges, due to occupant's schedules resembling those of hotel and motel occupants - the rooms are inhabited mostly between 5 PM and 7 AM."
Add "SECTION 506.3 Hot Water Mixing Equation.
Let: Qf = Fixture flow in gpm = 2.5 gpm per Public Law 102-486
Qs = Flow from SWH Storage Tank in gpm
Qc = Flow from Cold Water Supply in gpm
Tf = Temperature at fixture in degrees F = 110 F for
personnel safety
Ts = Temperature at SWH Storage Tank in degrees F, 140 F
minimum for Legionella
Tc = Temperature at Cold Water Supply in degrees F,
varies due to location and season
Mixing Equation: (Qf x Tf) = (Qs x Ts) + (Qc x Tc) Substituting Qc = Qf - Qs gives the following:
(Qf x Tf) = (Qs x Ts) + ((Qf - Qs) x Tc)
(Qf x Tf) = (Qs x Ts) + (Qf x Tc) - (Qs x Tc)
(Qf x Tf) - (Qf x Tc) = (Qs x Ts) - (Qs x Tc)
Qf x (Tf-Tc) = Qs x (Ts-Tc)
Qs = Qf x [(Tf-Tc)/(Ts-Tc)]
Substituting Qf = 2.5 gpm, Tf = 110 F, Ts = 140 F, and Tc = 50
F gives the following:
Qs = 2.5 x [(110-50)/(140-50)] Qs = 1.667 gpm
Qc = Qf-Qs = 2.5 gpm-1.667 gpm = 0.833 gpm
Check: 2.5 x 110 = (1.667 x 140) + (0.833 x 50)
275 = 233.38 + 41.65
275 = 275.03 = OK
The mixing equation may be used to evaluate the effect of variation of Tc temperatures on Qs. At Ts = 140 F, for Tc = 40 F, Qs = 1.75 gpm; and for Tc = 80 F, Qs = 1.25 gpm.
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