Mixing water tempretures and flow rates

[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

 

[TomStar]

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