Studiot
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Yup someone has got it at last.
Big Smile
Total pressure is constant, but in any case I probably just wouldn't take the analogy that far.sophiecentaur said:If you are considering pressure and flow inside pipes of varying diameter as being analogous to the potential on wire conductors of varying diameters how do you reconcile the Bernouli Effect where the pressure Increases back up again when the flow goes from a thin pipe to a thick pipe?
I use the analogy only when a situation calls for it - it is the person who asks the question who sets up the scenario.And when you use the analogy, do you stress that you are talking in terms of high speed circulation through capillary pipes and a heating effect?
Of course there are caveats. It isn't perfect: it's an analogy.There's a huge caveat there, I think you have to agree.
Bernoulli's principle states that total pressure is constant along a streamline. Often people make oversimplifications in their description and drop the word "static" when saying:sophiecentaur said:"Total pressure is constant"
Total Pressure = ?
First it's high, then it's low then its high again. What's constant about it?
I think we'll have to differ on this one - perhaps because of our different audiences. I couldn't afford for GCSE and A level students to get it that wrong.
http://en.wikipedia.org/wiki/Bernoulli's_principle...an increase in the speed of the fluid occurs simultaneously with a decrease in [static] pressure or a decrease in the fluid's potential energy.
This is an incorrect objection. If you put a low resistance connection to ground you will get current whether you are talking about water in pipes or electricity in wires. If instead you terminate your conductor with an infinite resistance then you will not get flow whether you are talking about water in pipes or electricity in wires until your cap breaks.Studiot said:However the most important objection I raised earlier, that no one seems to have picked up on is.
If I connect one pipe to a reservoir I can get water out of the other end period.
If I connect one wire to one terminal of a battery how much electricity can I get out of it?
If you put a low resistance connection to ground you will get current whether you are talking about water in pipes or electricity in wires
Great stuff - as long as no one starts talking about pressure as if it's voltage. It's energy that is the equivalent to volts. Then you have an excellent demo / analogy.Studiot said:I did comment back along that it is possible to construct an electric circuit analog from a hydraulic circuit all at the same pressure. You can demonstrate many circuit elements with tanks, wide bore pipes or spillways, water wheels as batteries. You can model series and parallel circuits, demonstrate Kirchoff, energy equation E = IV with I modeled by the mass flow (=volume flow rate for an incompressible fluid like water) and V modeled by height or head.
It's energy that is the equivalent to volts.
[edit: wrong person]Studiot said:Russ, you are skillfully avoiding my comments.
Those are fine demonstration of Bernoulli's principle. Your second link clearly says what I was saying:sophiecentaur said:"Bernoulli's principle states that total pressure is constant along a streamline. Often people make oversimplifications in their description and drop the word "static" when saying: etc
"
So is the 'well known' pipes demonstration not really happening? And are these links seriously in error?
http://home.earthlink.net/~mmc1919/venturi.html
http://www.ceet.niu.edu/faculty/kostic/bernoulli.html
Funny, 'cos I've seen it work often...
Have I missed something?
...with the caveat that "head" is synonomous with "pressure". So "total head" is "total pressure".The terms on the left-hand-side of the above equation represent the pressure head (h), velocity head (hv ), and elevation head (z), respectively. The sum of these terms is known as the total head (h*). According to the Bernoulli’s theorem of fluid flow through a pipe, the total head h* at any cross section is constant (based on the assumptions given above).
What did I avoid
with the caveat that "head" is synonomous with "pressure".
Sorry, responded to the wrong person in that post...Studiot said:I asked what to say to a beginner who asks
"If flow of electricity in wires is like flow of fluid in pipes why can I get fluid out of a single pipe, when I can't get electricity out of a single wire"
And yes a beginner just asked that very question.
Maybe, but since I live on earth, it still works and therefore is often used synonomously (and it is in that link). I suspect you already knew that though. Either way:Studiot said:That is a dimensionally unsound statement sir.
http://dictionary.reference.com/browse/headAlso called pressure head. Hydraulics.
a.the vertical distance between two points in a liquid, as water, or some other fluid
b.the pressure differential resulting from this separation, expressed in terms of the vertical distance between the points.
c.the pressure of a fluid expressed in terms of the height of a column of liquid yielding an equivalent pressure.
Your scenario is self-contradictory, if you connect one terminal only then the resistance is infininte. If you have an infinite resistance then you don't get current flow in either case. Again, there are failings of the analogy, but this is not one.Studiot said:Take a 9 volt battery and tell me, hand on heart, that I can obtain a sustained current flow from it by connecting one terminal only to ground by any resistance you care to name.
Your scenario is self-contradictory, if you connect one terminal only then the resistance is infininte.
OK, I understand what you are talking about, but the analogy is good in this scenario too:Studiot said:Why is what I said self contradictory?
It is perfectly consistent. The connection has as low a resistance as you care to name.
But
The other terminal is not connected.
This is perfectly consistent with the one pipe / one wire scenario.
Studiot said:And of course if you connect a single pipe to this outlet and turn on the tap you will get wet.
Totally unlike a battery where you have to make a connection to both terminals to obtain electricity.
You have improperly connected the battery. Air is a medium where the water is free to flow. Air is not a medium where current is free to flow.
Studiot said:No
The analog is
Volts (V) = Height or head (H)
Charge (q) = mass m
Current I = dq/dt = rate of mass flow dm/dt
Power = VI = ghdm/dt
Energy = VIdt = Vq = ghm
Edit
Regretfully I rushed headlong into an old beartrap. Ouch.
The product VI is of course power.
Energy is the time integral/sum of power.
(Post 77)Studiot said:Would you like to expand on this statement?
Please quote the specific statement I made where you believe I criticized you instead of your statements. That was certainly not my intent, but I understand that this is a difficult medium to communicate sometimes and it is certainly possible to unintentionally criticize the person instead of the statement.Studiot said:If you simply criticize my statements we can have a rational discussion.
But you criticize me as well.
Wasn't this originally just about voltage, not all the other analogies? For voltage, you left out the field intensity term. Voltage = E(h) x h, where E(h) is the field intensity at h. Gravitational potential = g(h) x h.Studiot said:The analogy is
Volts (V) = Height or head (H)
Charge (q) = mass m
Current I = dq/dt = rate of mass flow dm/dt
Power = VI = ghdm/dt
Energy = VIdt = Vq = ghm
I try to avoid the word reservoir because it can be taken to mean a man-made lake or a tank. If you mean a lake, either man-made or natural, then the top of the lake is equivalent to ground, a place where the water/charge is all at the same potential and where lots of flow/current can easily go in or out without changing the potential.Studiot said:Connecting only one port of a pump is not analagous to connecting only one terminal of a battery.
By itself a pump is not a faithful analog of a battery as a battery is an electrical energy source between its terminals.
A pump on the other hand is just a pump between its ports. The analog is only made real by adding the reservoir. So a true analog would be the pump plus reservoir. The ports corresponding to the battery terminals are then the pump outlet and the reservoir inlet.
And of course if you connect a single pipe to this outlet and turn on the tap you will get wet.
Totally unlike a battery where you have to make a connection to both terminals to obtain electricity.
If you want to criticize an analogy you need to actually use the analogy correctly and show where it still fails even when used correctly.
I think this statement goes way too far. The pump is not equivalent to a battery in that way (being a primary energy source). But as I have pointed out above there are plenty of other ways in which they are equivalent. As long as I stick to those other ways in which they are equivalent then my use of the analogy is fine.Studiot said:However I cannot accept a statement that a battery is equivalent in any way to pump.
A battery is a primary energy souce, which is the reason I chose it.
A pump is not.
Period.