My bmw 320d,2000 modelsuddenly vut engine off whildt in motion wht could be the problem?

In the fuel tank.

thermostat is stuck. change it
also check the viscous fan

perhaps some water condensation in the empty tank that then caused the smoke and shaking during warming up.

Refill with good branded Diesel a full tank and have a drive for 30 mins possibly warming at high revs (or low gear to warm faster)
Enjoy

If your battery is good and all of your other electrical systems work fine then chances are it is your starter that is bad. However if the engine turns over but just won't start then you most likely have an electrical problem such as a bad ignition switch or ECM. I hope this helps you out.

It's the low coolant light. Check the resevoir.

fuel filter or air filter? Cabin filter? Fuel filter will be under drivers side door near drive axle on left side of engine. Or by gas tank.

try fitting a new rubber door seal to the rear door.

You have blown the oil rings.

I assuming that you have an E46 bimmer. you can find an exploded view of the m79 320d engine here.

http://www.realoem.com/bmw/partgrp.do?model=AL71&mospid=47634&hg=11&fg=30

That will solve all your parts locating problem for your car..

I hope that helped you.. have a great day.