I took a look at the code and to be honest I am not sure what all you are trying to do.
First the "s k" control is hidden, and as far as I can see there is no way to change its value, so you can not get into the while loop to chart the data.
However once I changed that I did see the VI getting stuck.
The reason is beacuse you are flushing the Queue, and I am not sure why. When you do that you remove all the data in it so you are no longer sending data from one loop to the other you deleted it all. Then right after you flush the Queue you try to deque and element, but it is empty. So it is simply waiting for you to give it data. However there is no gaurantee that when you send the notification to the Left loop it will but data in the queue. So you are stuck with both loops waiting.
Because I am not exactly sure what you end goal is I am not sure what to suggest, however I have a feeling you don't want to flush the Queue in the right loop/
If I am wrong we can see if there is a different way to reach your end goal.