What is the head loss for water flowing through a horizontal pipe if the gage pressure at point 1 is 1.05 kPa, the gage pressure at point 2 downstream is 1.00 kPa, and the velocity is constant?

The required head loss is 0.00509 m.

Explanation:

Head loss for horizontal pipe  (zout − zin) with no pump (hs = 0), and constant cross section  (Vout =Vin) is given by:

                  Head loss=                     ( for constant velocity)

where,

 = pressure at point 1.

= pressure at point 2.

d= density of water flowing

g = acceleration due to gravity

Now,

                                             Head loss =

                                                              = 0.00509 m

Hence the head loss is 0.00509 m.