I don't want to sound stupid but the Whirlpool you are talking about is your tub?
I have a Jetted tub and the way I was told I could keep it clean was that once a month to fill the tub and throw in a couple of handfuls of "dishwasher detergent like Cascade", not regular soap. There is "filter material" that has to be taken out and washed too.(where the water gets sucked in)
I let the jets run for about 20 minutes, drain it, and then fill with cold water, and run the jets to rinse the tub and the pipes.
It works for me!