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#21
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Thanks, finally somebody on my nerdy wavelength, and a really thoughtful
reply, but... Todd W. Deckard wrote: The carb throat is a double venturi and a manometer between the opening and the neck would show a theoretical pressure drop of: p(opening) - p(neck) = .5 * density of air * { velocity(neck)^2 - velocity(opening)^2 } (Lets ignore carb ice for a second and say that the air is incompressible). agreed. { Pressure / density } + .5 * { velocity ^ 2 } + gravity * change_in_height = a constant I think you are speaking of the velocity of the gas in the orfice system and the density of the gas, relative to the pressure differential that is driving the fuel flow. If so, I agree (caveat below). Note that this is equivalent to saying that the fuel flow is proportional to the square root of the pressure differential, same assumption I made. so Air over Fuel cancels your density term. Check your math carefully, are you sure that you are not confusing the density of the fuel (constant) and density of the air (decreasing) terms. I gave this the quick and dirty back of the napkin verification, and it seems I still had both density terms in the final equation relating mass airflow to mass fuelflow. If you think you're right... I'll do a little more rigorous playing with the terms. My current hunch on this: The mass fuel flow is not proportional to the square root of the pressure differential, but more or less directly proportional to the differential. This is because of the viscous friction effects of the avgas in going through the metering orfices. If those effects predominate, (not surprising given the very small orfice sizes), I'd say Bernoulli has little to say about the mass flow rate of the avgas, and it is more linearly related to the pressure differential. Q.E.D. Good question. If I ever become a physics teacher I am going to put this one on the final! I think I'm going to forward this to one of my old fluid dynamics profs ![]() |
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#23
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"Bertie the Bunyip" wrote in message ... Tman wrote in news:- : wrote: On Jan 19, 7:05 pm, "Todd W. Deckard" wrote: It diverts low pressure air from the back of the venturi into the fuel float bowl. Never taken a close look at an airplane carb, but I understand that the standard config (not this stromberg, but rather something like in a basic 172N) has a fuel-bowl vent upstream of the venturi, making the air pressure in the fuel bowl pretty much equal to the air intake pressure.... Kind of like a standard auto carb from a few years ago when they still had them. Let me know if that's not right. They're basically a float bowl and a tube. not a lot to complicate them, really. Probably the simplest carbs in operation today. Bertie You're an idiot. |
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#24
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"Maxwell" #$$9#@%%%.^^^ wrote in :
"Bertie the Bunyip" wrote in message ... Tman wrote in news:- : wrote: On Jan 19, 7:05 pm, "Todd W. Deckard" wrote: It diverts low pressure air from the back of the venturi into the fuel float bowl. Never taken a close look at an airplane carb, but I understand that the standard config (not this stromberg, but rather something like in a basic 172N) has a fuel-bowl vent upstream of the venturi, making the air pressure in the fuel bowl pretty much equal to the air intake pressure.... Kind of like a standard auto carb from a few years ago when they still had them. Let me know if that's not right. They're basically a float bowl and a tube. not a lot to complicate them, really. Probably the simplest carbs in operation today. Bertie You're an idiot. Nope. But please don't let that stop you maxie. Bertie |
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#25
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On Wed, 21 Jan 2009 12:29:21 -0500, Tman
wrote: Thanks, finally somebody on my nerdy wavelength, and a really thoughtful reply, but... Todd W. Deckard wrote: The carb throat is a double venturi and a manometer between the opening and the neck would show a theoretical pressure drop of: p(opening) - p(neck) = .5 * density of air * { velocity(neck)^2 - velocity(opening)^2 } (Lets ignore carb ice for a second and say that the air is incompressible). agreed. { Pressure / density } + .5 * { velocity ^ 2 } + gravity * change_in_height = a constant I think you are speaking of the velocity of the gas in the orfice system and the density of the gas, relative to the pressure differential that is driving the fuel flow. If so, I agree (caveat below). Note that this is equivalent to saying that the fuel flow is proportional to the square root of the pressure differential, same assumption I made. so Air over Fuel cancels your density term. Check your math carefully, are you sure that you are not confusing the density of the fuel (constant) and density of the air (decreasing) terms. I gave this the quick and dirty back of the napkin verification, and it seems I still had both density terms in the final equation relating mass airflow to mass fuelflow. If you think you're right... I'll do a little more rigorous playing with the terms. My current hunch on this: The mass fuel flow is not proportional to the square root of the pressure differential, but more or less directly proportional to the differential. This is because of the viscous friction effects of the avgas in going through the metering orfices. If those effects predominate, (not surprising given the very small orfice sizes), I'd say Bernoulli has little to say about the mass flow rate of the avgas, and it is more linearly related to the pressure differential. Q.E.D. Good question. If I ever become a physics teacher I am going to put this one on the final! I think I'm going to forward this to one of my old fluid dynamics profs ![]() You all are making this much too complicated. The reason you lean the mixture as you climb is.... if you don't the check airman will flunk you on your check ride. Ron :-) |
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#26
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On Jan 21, 10:29*am, Tman wrote:
Thanks, finally somebody on my nerdy wavelength, and a really thoughtful reply, but... Todd W. Deckard wrote: The carb throat is a double venturi and a manometer between the opening and the neck would show a theoretical pressure drop of: p(opening) - p(neck) = .5 * density of air * { velocity(neck)^2 - velocity(opening)^2 } * * * * * * *(Lets ignore carb ice for a second and say that the air is incompressible). agreed. { Pressure / density } + .5 * { velocity ^ 2 } + gravity * change_in_height = a constant I think you are speaking of the velocity of the gas in the orfice system and the density of the gas, relative to the pressure differential that is driving the fuel flow. *If so, I agree (caveat below). *Note that this is equivalent to saying that the fuel flow is proportional to the square root of the pressure differential, same assumption I made. so Air over Fuel cancels your density term. Check your math carefully, are you sure that you are not confusing the density of the fuel (constant) and density of the air (decreasing) terms. *I gave this the quick and dirty back of the napkin verification, and it seems I still had both density terms in the final equation relating mass airflow to mass fuelflow. *If you think you're right... I'll do a little more rigorous playing with the terms. My current hunch on this: *The mass fuel flow is not proportional to the * square root of the pressure differential, but more or less directly proportional to the differential. *This is because of the viscous friction effects of the avgas in going through the metering orfices. *If those effects predominate, (not surprising given the very small orfice sizes), I'd say Bernoulli has little to say about the mass flow rate of the avgas, and it is more linearly related to the pressure differential. Q.E.D. *Good question. * If I ever become a physics teacher I am going to put this one on the final! I think I'm going to forward this to one of my old fluid dynamics profs ![]() I think your problem is the assumption that there's a linear relationship between air density and pressure differential. The same pressure differential is the force that lifts our airplanes off the ground, and as they gain altitude the density decreases. The stall speed will rise, but not linearly with the decrease in density; it's the square root of the decrease in density that we're looking for. In the carb, one-half the density should then cut the pressure differential and therefore fuel flow by one quarter, which will give us a mixture twice a rich as when we took off. We find half the density at 18,000 feet, incidentally. Dan |
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#27
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#28
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On Jan 21, 5:25*pm, Tman wrote:
wrote: * In the carb, one-half the density should then cut the pressure differential and therefore fuel flow by one quarter, which will give us a mixture twice a rich as when we took off. * At the risk of dragging on the subject ... Wouldn't that actually leanit out, requiring one to compensate by richening the mixture at higher altitudes? *One-half the density i.e. one half the mass airflow at constant velocity, fuel flow by quarter... sounds like that mixture is leaner! No, the fuel flow drops by a quarter, to three-quarters of what it was at sea level. With half the density, that gives us a mixture that is half again as rich as it was at sea level, requiring leaning. Dan |
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#29
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Bertie the Bunyip wrote:
"Maxwell" #$$9#@%%%.^^^ wrote in : "Bertie the Bunyip" wrote in message ... Tman wrote in news:- : wrote: On Jan 19, 7:05 pm, "Todd W. Deckard" wrote: It diverts low pressure air from the back of the venturi into the fuel float bowl. Never taken a close look at an airplane carb, but I understand that the standard config (not this stromberg, but rather something like in a basic 172N) has a fuel-bowl vent upstream of the venturi, making the air pressure in the fuel bowl pretty much equal to the air intake pressure.... Kind of like a standard auto carb from a few years ago when they still had them. Let me know if that's not right. They're basically a float bowl and a tube. not a lot to complicate them, really. Probably the simplest carbs in operation today. Bertie You're an idiot. Nope. But please don't let that stop you maxie. What's new on teh gasket-front, Cap'N? -- ah |
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#30
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ah wrote in news:4977e445$0$35423
: Bertie the Bunyip wrote: "Maxwell" #$$9#@%%%.^^^ wrote in : "Bertie the Bunyip" wrote in message ... Tman wrote in news:- : wrote: On Jan 19, 7:05 pm, "Todd W. Deckard" wrote: It diverts low pressure air from the back of the venturi into the fuel float bowl. Never taken a close look at an airplane carb, but I understand that the standard config (not this stromberg, but rather something like in a basic 172N) has a fuel-bowl vent upstream of the venturi, making the air pressure in the fuel bowl pretty much equal to the air intake pressure.... Kind of like a standard auto carb from a few years ago when they still had them. Let me know if that's not right. They're basically a float bowl and a tube. not a lot to complicate them, really. Probably the simplest carbs in operation today. Bertie You're an idiot. Nope. But please don't let that stop you maxie. What's new on teh gasket-front, Cap'N? Not much. Need a gearbox though.. Bertie |
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