# Mixing water tempretures and flow rates

• TomStar
In summary, the conversation discusses a work-related problem involving finding a formula for the flow rates of hot and cold water in a tap connected to a Termostatic Mixing Valve. The hot water supply is at 60°c and the cold water supply is at 10°c, with a desired working temperature of 41°c. The formula for the volume of low temperature water is ((60-41)/(60-10))*Mf and the formula for the volume of high temperature water is Mf-Ml or ((41-10)/(60-10))*Mf. The speaker has tried many things to find the answer but is still unable to do so.

#### TomStar

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

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

## 1. What is the ideal temperature for mixing water in a shower?

The ideal temperature for mixing water in a shower is typically between 100-105 degrees Fahrenheit (38-40 degrees Celsius). This temperature is comfortable for most people and also helps to prevent scalding.

## 2. Can mixing water temperatures and flow rates impact energy efficiency?

Yes, mixing water temperatures and flow rates can greatly impact energy efficiency. Using a low flow rate and mixing hot and cold water at the right proportion can reduce energy usage and lower utility bills.

## 3. How does the flow rate affect the temperature of mixed water?

The flow rate plays a significant role in the temperature of mixed water. A higher flow rate will result in a lower temperature, as there is less time for the hot and cold water to mix. Lowering the flow rate will result in a higher temperature, as the hot and cold water have more time to mix and reach equilibrium.

## 4. What is the maximum temperature for mixing water in a household setting?

The maximum temperature for mixing water in a household setting is typically around 120 degrees Fahrenheit (49 degrees Celsius). This is the recommended maximum temperature to prevent scalding and burns.

## 5. How does the type of water heater affect the mixing of water temperatures?

The type of water heater can greatly affect the mixing of water temperatures. For example, tankless water heaters have a slower response time and may result in inconsistent water temperatures when mixing hot and cold water. On the other hand, traditional tank water heaters can provide a more stable and consistent temperature when mixing water.

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