Shower Mixer Taps: Physics & Maths Explained

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Can anybody advise where I might find details of the physics and maths of shower mixer taps. My shower behaves like a second order control system (damped temperature oscillation as a result of a step temperature change). How does this work?
Can anybody advise where I might find details of the physics and maths of shower mixer taps.
My shower behaves like a second order control system (damped temperature oscillation as a result of a step temperature change). How does this work?
 
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The correlation between shower temperature control position and actual emitted water temperature is the very theory Einstein was groping toward in the last years of his life. Tragically, he died having never solved it.

My condolences for the life path you have chosen.

(This is a joke. I have no useful contribution to your question.)
 
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They use a baffle that gets pushed side to side based on pressure changes between the hot/cold. That movement opens and closes control valves to keep the ratio constant.
 
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