water analogy- a simple calculator

Jan 06, 2011 170 Replies

Where is the inductance analogy? An inquisitive mind wants to know.

Cheers, John

BTW, I know it is 1 degree C * second / watt. But what is the physical realization of that like the farad equivalence being 1 gram of aluminum?

BTW, I know it is 1 degree C * second / watt. But what is the physical realization of that like the farad equivalence being 1 gram of aluminum?

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Inertia due to mass. The same as an inductor applied conversely.

mike

Well, yeah. But isn't 1 gram of aluminum an inertia?

John

There isn't one. The heat equation is first order with respect to time, and all the coefficients are real-valued, so there's no opportunity for oscillatory solutions. (The Schrodinger equation is also first order in time, but it has a factor of i in it, so all the nontrivial solutions are oscillatory. Second order equations can display both sorts of behaviour.)

Cheers

Phil Hobbs

Dr Philip C D Hobbs Principal ElectroOptical Innovations 55 Orchard Rd Briarcliff Manor NY 10510 845-480-2058 email: hobbs (atsign) electrooptical (period) net http://electrooptical.net

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I'd have to check the numbers, but I assume that at room temperature the heat capacity of 1 gram of aluminum is about 1 joule per degree K.

George H.

Well, yeah. But isn't 1 gram of aluminum an inertia?

John

Only the 1 gram part has inertia. The aluminum is a container. mike

Thanks, Dr. Phil. I guess that's why I could not mentally picture such a thing.

Cheers, John

A turbine driving a flywheel. Or more accurately, a positive-displacement pump.

Clifford Heath.

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