What is reaction between isopropyl alcohol and acetone?

What would be the probable reaction between acetone, $\ce{(CH3)2CO}$, and isopropyl alcohol, $\ce{CH3CHOHCH3}$, at room temperature without any catalyst in different concentrations? 




I've used acetone/ipa mix to flush chromatography columns. There is no reaction between them without another reagent present


 4

I mix rubbing alcohol and acetone together to clean flux off of stained glass that I have soldered. Nothing happens when you mix them. 


 2

Obviously these liquids do not react with each other. But they can be interconverted. Isopropanol can be converted to acetone simply by heating over a copper catalyst (<https://en.wikipedia.org/wiki/Isopropyl_alcohol>). And as many readers know, sodium borohydride or lithium aluminum hydride reduces acetone to isopropanol (<https://www.chemguide.co.uk/organicprops/carbonyls/reduction.html>).


 2