Mixing water tempretures and flow rates

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SUMMARY

The discussion focuses on calculating the flow rates of hot and cold water supplies using a Thermostatic Mixing Valve (TMV). The user provided specific parameters: a tap supplying water at 41°C with a flow rate of 0.17 l/s, hot water at 60°C, and cold water at 10°C. The established formulas for calculating the volumes of low and high-temperature water are: Ml = ((Th-Tf)/(Th-Tl))*Mf for low temperature and Mh = ((Tf-Tl)/(Th-Tl))*Mf for high temperature. These formulas allow for precise calculations needed for effective mixing of water temperatures.

PREREQUISITES
  • Understanding of Thermostatic Mixing Valves (TMV)
  • Basic knowledge of fluid dynamics
  • Familiarity with temperature measurement in Celsius
  • Ability to perform algebraic calculations
NEXT STEPS
  • Research the principles of Thermostatic Mixing Valves (TMV)
  • Learn about fluid flow rate calculations in plumbing systems
  • Explore temperature control in water heating systems
  • Study the impact of water temperature on mixing efficiency
USEFUL FOR

Plumbers, HVAC technicians, engineers, and anyone involved in designing or maintaining water heating systems will benefit from this discussion.

TomStar
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Have a work related problem here, tried all afternoon to find a formula but no luck so far

Heres the problem.

I have a tap supplying water at 41°c and at a flow rate of 0.17 l/s. The tap is connected to a Termostatic Mixing Valve (TMV) with a hot and cold water supply.

The hot water is at 60°c and the cold water is being supplied at 10°c.

What are the flow rates for the hot water supply and the cold water supply?

Have tried many things to find the answer but still no luck, if someone can please let me know a formula would be very greatful!

Thanks
 
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Found the formula for future ref

Ml = Volume of low temperature water. Mh = Volume of high temperature water. Mf = Total Volume needed. Tl = Temperature of low temperature water. Th = Temperature of high temperature water. Tf = Working temperature desired.

The formula for the volume of low temperature water to use is

Ml = ((Th-Tf)/(Th-Tl))*Mf

The formula for the volume of high temperature water to use is

Mh = Mf-Ml

or

Mh = ((Tf-Tl)/(Th-Tl))*Mf
 

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