Hi Lyghur,
It's strange not to use $F, because you said you want to increase the rz value by 10 EACH FRAME, which implies that you need to use $F(otherwise, you may need to use some other channels indirectly).
the expression should be:-
rz = 10*$F
Hope this help!
Tell me if it works or not!
PRmen
P.S.
Your expression doesn't work because houdini don't loop your rz value, it only manipulate once, so your final rz value has only increased by 10 once. If you want increase the rz value based on previous one, you gotta use a "COPY SOP" (If I didn't recall wrong!) to save this value to use the rz value again.