Use 'lie down' to indicate resting in a horizontal position, not necessarily implying sleep. I'm going to lie down on the couch for a few minutes to relax.
Pro Tip 2/3
Not Sit Down
'Lie down' means completely horizontal; it's different from 'sit down', which is not fully reclined. Don't just sit down, lie down if you're feeling dizzy.
Pro Tip 3/3
Physical Comfort
The phrase often suggests seeking physical comfort or a break from activity. After running the marathon, he could hardly wait to lie down.