Hi there, not sure if you said if it was for a mk1 or mk2.
However my, mk1 front washer packed up after not using the car a few months. Same thing, no noise.
Turned out to be the washer motor (probably original part), checked to see if it was the pump first by swapping the rubber tubing over to rear washer pump and this was working with water squirting out fine on the windscreen.
You can under a screw under the bottom front of the wheel arch and then undo one or two poppers, not sure how many, not all of the wheel arch has to be removed to get access to the washer area. Yes there is one reservoir to supply two pumps, see photo, Black is new front pump.
Got this front ebay.
http://www.ebay.co.uk/itm/161778925204?ul_noapp=true.Its cheap, but as its not a safety critical item if it fails buy another one. Got a quote from Honda Dealership, part retails at about £40.00.
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