Optimal pool heating strategy

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Hello, I’m seeking a physicist to help me optimize the heating of a swimming pool given certain parameters and variables.

Context: I run a therapeutic swim school for kids with autism and other special needs. We’ve rented a residential swimming pool with a heater. In order for the kids to have the best experience, the pool during business hours should be at 85 F. The heater comes with a timer, such that on and off times for the heater can be set at any hour of the day. The heater is equipped with a thermostat.


The pool is an in-ground type that holds an estimated 7,000 gallons.

On TUE WED and THU the pool is used between 1030am and 330pm.

On SAT and SUN the pool is used between 9am and 4pm.

The Problem: what times should the heater be set to turn on and off, and with what thermostat setting(s), such that

A) the water will be 85 F during all operating hours, and

B) the heater does not run any more than necessary, to save on energy costs.

The average temperature for any given day of the year (which would presumably affect how much and how fast the water would cool off) is available online.

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Can the temperature forecast be taken into account in some kind of equation?

Can an optimal solution be found?


Deliver an equation into which we could change the variables of operating hours, desired water temperature, and/or projected low temperature for any given day.

Fizică Matematică

ID Proiect: #36716460

Detalii despre proiect

17 propuneri Proiect la distanță Activ acum 2 luni

17 freelanceri licitează în medie 124$ pentru acest proiect


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