Here's a little experiment, it requires a 200 + lumen LEN light,some ash and your eyes .
Go outside on a clear windless winter night and dump a handful of ash on the ground from 3-6 " up, sort of what you would do dumping ash.
Then immediately thereafter shine the light above the ash pile now on the ground & watch how long it takes the tiny ash particles to dissipate.
Record your data in your mind as a function of # particulates as a function of cubic feet per sec post ash dump.
Then think about what is happening in your house with you breathing it not to mention Ivan the Great your prize Husky dog.