For the open tank, with piezometers attached on the side, containing two different immiscible liquids as shown in Fig. 2-6, find (a) the elevation of the liquid surface in piezometer A, (b) the elevation of the liquid surface in piezometer B, and (c) the total pressure at the bottom of the tank.

Question

For the open tank, with piezometers attached on the side, containing two different immiscible
liquids as shown in Fig. 2-6, find (a) the elevation of the liquid surface in piezometer A, (b) the
elevation of the liquid surface in piezometer B, and (c) the total pressure at the bottom of the
tank.

Accepted Answer

(a) Liquid A will simply rise in piezometer A to the same elevation as liquid A in the tank (i.e., to elevation 2 m).

(b) Liquid B will rise in piezometer B to elevation 0.3 m (as a result of the pressure exerted by liquid B) plus an additional amount , [latex]h_{A} [/latex] , as a result of the overlying pressure of liquid A, [latex]p_{A} [/latex] .

[latex]p_{A}=\gamma h=(0.72 imes 9.79)(1.7) =11.98 [/latex]kPa

[latex]h_{A}=p/\gamma =11.98/(2.36 imes 9.79)-0.519 [/latex]m

Liquid B will rise in piezometer B to elevation 0.3 + 0.519 = 0.819 m.

(c) Pressure at bottom = (0.72 x 9.79)(1.7) + (2.36 x 9.79)(0.3) = 18.9 kPa

Question 2.12: For the open tank, with piezometers attached on the side, co...

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