Even rubber dams stretched across pipes work exactly like capacitors. Firstly, they block DC: water cannot flow. But back and forth movement is conveyed (AC passes). Less capacitance in series, more in parallel. Two such dams in series do not have more capacitance because to get one to stretch, the other must stretch; they partially cancel. And since there are two, more pressure is needed to get the same stretch. (Same as more voltage needed to cram in the same charge: less capacitance).

Inductance doesn't have an analog. To some extent, the inertia of the fluid cam model some of it, I suppose. Like what is "water hammer" in plumbing? The circuit is too suddenly broken, but the water wants to keep moving. There's gotta be a resulting momentary pressure rise there in the closed-off line, similar to voltage rising in an interrupted inductor. If the valve were some weak piece of crap relative to the mass of the water, the water would break it: like arcing.