chapter 2

Question 1

Pressure Gradient in a stationary fluid

Answer 1

dp/dz = − γ

and p=gamma*z

Assumes:

The fluid is at rest so shear=0

The fluid is uncompressible (B=infinity)

Question 2

Pressure variation in a stationary incompressible fluid

Answer 2

p 1 = γ h + p 2

Fundamentally this says that the pressure at some depth equals the initial pressure plus the weight of the column of fluid above the depth of interest.

Question 3

Hydrostatic force on a plane surface

Answer 3

F_R = γ h_c A

Question 4

Location of hydrostatic force on a plane surface

Answer 4

y_R = I_xc /y_c A + y_c

X_R = I_xyc/(y_cA) + x_c

Question 5

Buoyant Force

Answer 5

F_B = γ V

Question 6

Pressure Gradient in Rigid Body Motion

Answer 6

−∂p/∂x=ρa_x , −∂p/∂y=ρa_y , −∂p∂z=γ+ρa_z

Question 7

Pressure Gradient in a Rigid Body Rotation

Answer 7

∂p/∂r=ρrω² , ∂p/∂θ=0, ∂p/∂z=−γ

Question 8

Given: p_o and SG

find: p₂ as a function of z

Answer 8

p₂=p_o+(SG*SW_H2O)*z