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Mercury manometer fluid mechanics.?
Two open tanks are filled with water and connected by a mercury manometer.
Derive the relationship between Δz and Δh.
2 Answers
- ?Lv 74 years agoFavorite Answer
At the left side water-Hg interface you have:
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PLeft = Patm + ( dH2O ) ( g ) ( Lleft )
Lleft = distance from left water surface to the H2O-Hg interface
Directly horizontal from Pleft, you have :
---------------------------------------------------------
PRight = Patm + ( dH2O ) ( g ) ( Lleft - delta z - delta h ) + ( dHg ) ( g ) ( Delta h )
Since Pleft and Pright are at equal elevations in a static fluid :
------------------------------------------------------------------------------------
PLeft = PRight
Patm + ( dH2O ) ( g ) ( Lleft ) = Patm + ( dH2O ) ( g ) ( Lleft - Delta z - Delta h ) + ( dHg ) ( g ) ( Delta h )
( dH2O ) ( Lleft ) = ( dH20 ) ( Lleft ) - ( dH2O ) ( Delta z ) - ( dH2O ) ( Delta h ) + ( dHg ) ( Delta h )
( dH2O ) ( Delta z ) = ( dHg - dH20 )( Delta h )
Delta h = [ dH2O / dHg - dH2O ] [ Delta z ) <----------------------
- Anonymous4 years ago
idk
