Not sure so just giving it my best shot since noone else has chimed in yet.
When the heater is switched on the water nearest to the heater will begin to heat up. However, since there is no gravity there will be no convective heating, only conductive heating. Therefore, there will be a temperature gradient that always decreases monotonically in the direction away from the heater. Eventually, all of the water will be at the temperature of the heater. The temperature of each "piece" of water should roughly be a function of it's distance from the heater and the amount of time since the heater has been turned on.
Hope this helps (and is at least partially right

)!