advantages of inverted u tube differential manometer
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Inverted U-tube differential manometerInverted U-tube differential manometer will be used for measuring the vacuum pressure. Inverted U-tube differential manometer will have one inverted U-tube contained with light liquid.
Let us consider that inverted U tube differential manometer is connected with two points in two pipes as displayed here in following figure. These two pipes are filled with different specific gravity liquid. As displayed here in figure, point A and point B are at different level.Let us consider the following terms as mentioned here.XX is the datum linePA= Pressure at point APB = Pressure at point B
We need to measure the pressure difference between point A and point B or we need to find out the expression for difference of pressure i.e. PA – PB.
h = Difference of light liquid level in the U-Tubeh1 = Height of liquid level in left limb of manometer below the datum lineh2 = Height of liquid level in right limb of manometer below the datum lineρ1 = Density of liquid which is contained in pipe Aρ2 = Density of liquid which is contained in pipe BρL = Density of light liquid
We will now determine the pressure below datum line in left limb of manometer and also we will secure here the value of pressure below the datum line in right limb of manometer and we will equate these two pressures to find out the pressure difference i.e. PA – PB.
Pressure in the left limb below the datum line XX = PA - ρ1g h1Pressure in the right limb below the datum line XX = PB - ρ2g h2 - ρL g h
As pressure is same for the horizontal surface and therefore we will have following equation as mentioned here.PA - ρ1g h1 = PB - ρ2g h2 - ρL g hPA - PB = ρ1g h1 + ρ2g h2 - ρL g h
Let us consider that inverted U tube differential manometer is connected with two points in two pipes as displayed here in following figure. These two pipes are filled with different specific gravity liquid. As displayed here in figure, point A and point B are at different level.Let us consider the following terms as mentioned here.XX is the datum linePA= Pressure at point APB = Pressure at point B
We need to measure the pressure difference between point A and point B or we need to find out the expression for difference of pressure i.e. PA – PB.
h = Difference of light liquid level in the U-Tubeh1 = Height of liquid level in left limb of manometer below the datum lineh2 = Height of liquid level in right limb of manometer below the datum lineρ1 = Density of liquid which is contained in pipe Aρ2 = Density of liquid which is contained in pipe BρL = Density of light liquid
We will now determine the pressure below datum line in left limb of manometer and also we will secure here the value of pressure below the datum line in right limb of manometer and we will equate these two pressures to find out the pressure difference i.e. PA – PB.
Pressure in the left limb below the datum line XX = PA - ρ1g h1Pressure in the right limb below the datum line XX = PB - ρ2g h2 - ρL g h
As pressure is same for the horizontal surface and therefore we will have following equation as mentioned here.PA - ρ1g h1 = PB - ρ2g h2 - ρL g hPA - PB = ρ1g h1 + ρ2g h2 - ρL g h
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