My WD External hard drive not recognised

yes, there are 2 controllers that you will see. on is just an adapter from SATA to USB and another is attached to your drive.

I would pull the drive out, and connect it to any other enclosure just to see if it spins.

having your laptop power cord could have caused failure in 3 places.

  1. usb controller - drive wont spin in burnt enclosure but will in any other enclosure, or if conneted to another power supply direct to sata.

  2. hard drive PCB - drive wont spin at all in any enclosure or even when connected to power supply direct to SATA.

  3. hard drive pre-amp - drive wont spin at all in any enclosure or even when connected to power supply direct to SATA, but will also start to click when PCB is either repaired or replaced.

problem is that your USB adapter is what decrypts the data on the drive, so even if the drive is healthy that USB adapter needs to be fixed.