A rectangular orifice 1.5m wide and 1.2 m deep is fitted in one side of a large tank. The water level on one side of orifice is 2m above top edge of orifice while on or side of orifice, water level is 0.4m below its top edge. Calculate discharge through orifice if `c_d` is 0.62.

SOLUTION:

Here,

Discharge through submerged portion is,

`Q_1=C_d**b (H_2-H)root ()(2gH)`.. (i)

And the discharge through the free portion is,

`Q_2=2/3C_d*b*root ()(2g)(H^(3/2) -(H_1)^(3/2)`.. (ii)

Thus the total discharge is,

`Q=Q_1+Q_2`

`=C_d**b (H_2-H)root ()(2gH)+2/3C_d*b*root ()(2g)(H^(3/2) -(H_1)^(3/2)`

`=5.1+2.44`

`=7.54m^3/s`

SOLUTION:

Here,

Discharge through submerged portion is,

`Q_1=C_d**b (H_2-H)root ()(2gH)`.. (i)

And the discharge through the free portion is,

`Q_2=2/3C_d*b*root ()(2g)(H^(3/2) -(H_1)^(3/2)`.. (ii)

Thus the total discharge is,

`Q=Q_1+Q_2`

`=C_d**b (H_2-H)root ()(2gH)+2/3C_d*b*root ()(2g)(H^(3/2) -(H_1)^(3/2)`

`=5.1+2.44`

`=7.54m^3/s`