I have the same main tap/outside tap layout as you have. Try this, then: Turn off the main tap under the sink. Turn off the main tap for the outside tap. Turn on the kitchen sink cold tap. Turn on the outside tap. You should not be getting any water out of either tap. (The main tap under the sink will control (well, mine does!) the flow to the outside tap.) Turn on the main tap under the sink. If all goes well, you should now have water flowing out of your kitchen sink tap and out of the outside tap. With a bit of luck, you will have, at first, a spluttering, intermittent flow of water out of both taps. Let it run until it changes to a smooth flow. This might take a few seconds, or the best part of a minute. It depends on how big an airlock is in the pipes. When the water changes to a smooth flow from both taps, turn off the sink tap but do it in small turns of the valve, nice and gradually. Don't give the valve big, hearty turns. When the sink tap is fully turned off, turn off the outside tap in the same gradual manner. To avoid air locks in the future, turn off taps fairly gently and smoothly. I'll come back and have a look here this afternoon. Let me know how you get on. Best of luck.