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The ratio of the radius of the tube of a venturimeter is eta (eta gt 1) . The ratio of the densities of the liquid in the manometer and the moving fluidis eta _(1) . If the differencein heights of the liquid column in the manometer is h , find the minimum speed of flow of the fluid . |
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Answer» Solution :The speed of FLOW is minimum whenthe cross - sectional AREA of the tube is maximum . The equation foe minimumspeed of FLOWOF the liquidin a venturimeter is GIVEN as `v_(1) = A_(2) sqrt((2rho_(0)gh)/(rho(A_(1)^(2)-A_(2)^(2))))= sqrt((2(rho_(0)//rho)gh)/(((A_(1))/(A_(2)))^(2)-1))` Putting `rho_(0)//rho = eta_(1) , (A_(1))/(A_(2))= (pir_(1)^(2))/(pir_(2)^(2)) = (r_(1)/(r_(2)))^(2) = ETA^(2)` , we obtain , `v_(1) = sqrt((2eta_(1)gh)/(eta^(4)-1))` |
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