1. Consider a rectangular cube of fluid element with mass 8m. The length of each sides are
8x, Sy, and 8z. The center pressure of this element is P (x,y,z). Consider that there are no
shear stress acting on the element. Determine the followings: (50-Points)
a. Find all the surface forces in this element
b. Find the body force in this element
c.
Write down the total force equation in terms of gradient operator considering there
are not shear stress acting on the body
d.
From the equation obtained in part c, simplify it to find hydrostatic pressure at depth
h from free surface
e. Use the equation to find the pressure difference between the pipes A and B.
0.5 m
0.6 m
배
1.3 m
Gage fluid
(SG = 2.6)
Water
B
Water
AL