If you don’t utilize portal users in your CRM, you might want your customers (contacts) be notified with an email when a new post is created in the stream of a case record.
Create a Workflow rule for ‘Note’ target entity, with trigger type ‘After record created’. Specify the following conditions formula:
parentType == 'Case' && type == 'Post' && !isInternal
Add ‘Send Email’ action.
Select ‘Related: Parent.Contacts’ for To field.
Create Email Template for the action. Set Subject with the text “Post in case {Note.parentName}” and Body with the text “{Note.post}”.