I would like my Apple Watch to vibrate but not my iPhone

Hi i have an iphone 5 and an Apple Watch Sport.

I have my vibrations turned off on all notifications on my iphone, with only the screen lighting up or the notification popping up as a banner on the top of the screen if i have my iphone in hand, with only a phone call making sound, if the phone is on silent then the phone will only light up for all notifications. I would like my watch to vibrate when it is notifying me of a new whatsapp/call/sms etc.

The reason for this is i use a sleep recording/alarm app that means my phone is under my pillow during the night, i dont want the phone to vibrate when it is on silent overnight as it will wake me up. I cannot use the "Do not Disturb" function on the iPhone as the app must be running and the phone screen on and face down (not in sleep mode/locked).

Is there a way for my watch to vibrate but my phone to stay completely silent?

Thank you its really been bugging me!