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Anyone derive venturimeter for me

Answer» Yar how you add the diagram ???
Venturimeter\tVenturimeter is a device to measure the flow of incompressible liquid.\tIt consists of a tube with a broad diameter having a larger cross-sectional area but there is a small constriction in the middle.It is attached to U-tube manometer. One end of the manometer is connected to the constriction and the other end is connected to the broader end of the Venturimeter.The U-tube is filled with fluid whose density is ρ.A1= cross-sectional area at the broader end, v1\xa0= velocity of the fluid.A2=cross-sectional area at constriction, v2= velocity of the fluid.\t\t\tBy the equation of continuity, wherever the area is more velocity is less and vice-versa.As A1\xa0is more this implies v1\xa0is less and vice-versa.\tPressure is inversely ∝ to Therefore at A1\xa0pressureP1\xa0is less as compared to pressure P2\xa0at A2.\tThis implies P1v2.\t\t\tAs there is difference in the pressure the fluid moves,this movement of the fluid is marked by the level of the fluid increase at one end of the U-tube.A schematic diagram of VenturimeterVenturimeter: determining the fluid speed\tBy Equation of Continuity: -A1v1=A2v2.\tThis implies v2=(A1/A2)v1(Equation(1))\tBy Bernoulli’s equation:- P1\xa0+ (1/2) ρ v12\xa0+ ρg h = (1/2) ρ v22\xa0+ ρg h\tAs height is same we can ignore the term ρgThis implies P1-P2=(1/2) ρ(v22- v12)=1/2ρ(A12/A22v12- v12)(Using equation(1)=1/2ρv12(A12/A22\xa0-1)=1/2ρv12(A12/A22-1)\t\t\tAs there is pressure difference the level of the fluid in the U-tube changes.\t(P1-P2) = hρmgwhere ρm(density of the fluid inside the manometer).\t1/2ρv12(A12/A22-1)=hρmg\tv1\xa0= 2hρmg/ρ[A12/A22-1]-1/2


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