When we're tired due to long-hour-work, we often move our palm over our face from top to down, we may squeeze our noses as well on the way doing that.
And, if we're very tired we can do it hard or else we do it gently.
Is it natural to say "I stroke my face whenever I am tired"?
stroke: to move your hand gently over something. Eg, He reached out and stroked her cheek tenderly