Suppressive Fire: Firing rounds down on the enemy's position in order to negate the enemy the possibility of firing upon friendly troops. Thus allowing the section to win the firefight.
That's what suppressive fire is in my own words. I'm a member of the Canadian Forces (infantry), so this is my bread and butter.
Blind fire is how you see most incompetent riflemen/gunners fire their weapons, from either ill-training or ignorance of percision. You also see this in most (older) hollywood movies. Like the firing-from-the-hip bullshit, which can very well be consider blind firing since you have no real proper aim other than your body's direction.
"Hosti Acie Nominati"
My next sigpic will be 105x500 or smaller