Hi there,
Over the past few days, my Arduino uno r3 was working completely fine with no problems until recently where I plugged the cable to program this morning and the chip at the side started heating up intensely for no reason whatsoever. My L293D board didn't receive any power and the board is on , but it doesn't recognise the port.
If it's the little square one right next to the USB port, that's the chip that handles USB<>Serial communication (mostly). There's no reason in a bare Arduino board for it to heat up. You do mention a L293D motor driver so I assume something has been hooked up to this board in one way or another. Presumably something went wrong in one of those experiments.
That's the fuse. You got a short. Remove all wires and parts, and check for stray metal bits anywhere. Then try again. If it still heats up, something may have gone bad on your Uno