What does it mean when you put your watch on charge and the Apple logo come up on the screen and then goes away(over and over )?

The Apple logo appears when the watch is rebooting. If it appears repeatedly without the watch ever completing the reboot there is a hardware problem, most likely because the battery doesn’t have enough charge to complete the reboot. Contact Apple Support (link) to arrange getting your watch checked by Apple, they will report and advise repair options after it has been examined.