There are two pipes in a system connected by a double U-tube manometer as shown in Figure 1.29 where brine pipe is connected to a tank filled with different fluids. Oil and brine are flowing in parallel horizontal pipelines. The pressure at center of oil pipe is 200 kPa. Take density of water is 1000 kg/m³. a) Write pressure balance equation between points 1 and 2. b) Find pressure at point 2. c) Write pressure balance equation between points 2 and 3. d) Find pressure of point 3.

a) Write the pressure balance equation between points 1 and 2

`P_1+rho_0 g (0.5)-rho_m g(0.1)-rho_a g (0.6)+rho_B g (0.5)=P_2`

b) Find the pressure at point 2

`200** 1000+850**9.81**0.5-13600**9.81**0.1-1**9.81**0.6+1100**9.81**0.5=P_2`

or, `P_2=196217.3` Pa

c) Write the pressure balance equation between points 2 a....

a) Write the pressure balance equation between points 1 and 2

`P_1+rho_0 g (0.5)-rho_m g(0.1)-rho_a g (0.6)+rho_B g (0.5)=P_2`

b) Find the pressure at point 2

`200** 1000+850**9.81**0.5-13600**9.81**0.1-1**9.81**0.6+1100**9.81**0.5=P_2`

or, `P_2=196217.3` Pa

c) Write the pressure balance equation between points 2 and 3
`196217.3+1100**9.81**0.1-13600**9.81**0.3-1000**9.81**0.3=P_3`

or, `P_3=154328.6` Pa