# Hydraulic analogy for electrical compounds

I want a source (website or a book) where there are hydraulic simulation (or analogy) for all (or at least the most useful) electronic compounds?

• What research have you done to answer your own question? – Farcher Sep 10 '19 at 8:47
• I want it from any level! – user16752 Sep 10 '19 at 20:04

System Dynamics, A Unified Approach by Karnopp and Rosenberg is a good starting point. The essential points of building a mechanical analogy are as follows, as described in detail in K&R:

First, the effort variable in an electrical circuit is voltage and its corresponding effort variable in a hydraulic system is pressure.

Second, the flow variable in an electrical circuit is current and its corresponding flow variable in a hydraulic system is flow rate.

Third, the lumped inertance element in an electrical circuit is inductance and its hydraulic analogy is fluid mass.

Fourth, the lumped compliance element in an electrical circuit is capacitance and its hydraulic analogy is an air/fluid accumulator.

Fifth, the effort source in an electrical system is a voltage supply and its hydraulic analogy is a constant pressure pump.

Sixth, the flow source in an electrical system is a constant current supply and its hydraulic analogy is a positive displacement pump.

Seventh, the transformation element in an electrical system is a transformer and its hydraulic analogy is a two-piston ram.

Eighth, the gyration element in an electrical system is a DC motor and I do not know of a hydraulic element that accepts a pressure as a causal input and outputs a flow rate in response.

Ninth, the lumped linear resistance element in an electrical system is an ohmic resistor and its hydraulic analogy is a nonchoked orifice.

Kirchhoff's laws for voltage and current are directly analogous.

• I mean for example, a simulation of a bipolar transistor by a hydraulic current. – user16752 Sep 10 '19 at 20:44
• This is a very incomplete answer; for resource-recommendation questions (which seems to be the intent of this one) you need to add a bunch more details. – Kyle Kanos Sep 11 '19 at 11:24
• Oh ok, I thought it was clear. – user16752 Sep 11 '19 at 12:25
• So, I saw many time a simulation of electric current by a water flow (the rate). So I want a source (book or website) which contain many electric compounds (capacitor, transistor, diode ... and more) explained by a flow of water which is more easy to understand than electric current. – user16752 Sep 11 '19 at 12:30
• You could probably come up with a servo valve that translates pressure to flow rate, but how does a DC motor do that? – user253751 Nov 22 '19 at 14:42