Fluid Mechanics Homework Help

When a fluid flows in a conduit, there is friction between the flowing fluid and the pipe walls. The result of this friction is a net loss of energy in the flowing fluid. The fluid pressure is the source of the energy loss. Thus, whenever a fluid flows through a pipe, the pressure of the fluid will decrease in the direction of the flow in the absence of other effects, such as a gravitationalfield, or mechanical devices, such as pumps. Fluid flow can be laminar or turbulent in nature. Turbulent flow is characterized by intense mixing phenomena often observed as eddies within the flow field. Laminar flow is characterizedby a very smooth appearance and is devoid of intense missing phenomena. The third regime of fluid flow is transitional. As the name implies, it occurs when the fluid flow is in transition from laminar to turbulent flow or from turbulent to laminar flow. In general, the flow is considered to be laminar below Re-2000 and turbulent above Re-3000.

Isosceles triangle gate AB in Fig. P2.68 is hinged at A and weighs 1500 N. What horizontal force P is required at point B for equilibrium?d

The quarter circle gate BC in Fig. P2.86 is hinged at C. Find the horizontal force P required to hold the gate stationary. The width b into the paper is 3 m. Neglect the weight of the gate.

A 7-cm-diameter solid aluminum ball (SG = 2.7) and a solid brass ball (SG = 8.5) balance nicely when submerged in a liquid, as in Fig. P2.108. (a) If the fluid is water at 20°C, what is the diameter of the brass ball? (b) If the brass ball has a diameter of 3.8 cm, what is the density of the fluid?

A uniform wooden beam (SG = 0.65) is 10 cm by 10 cm by 3 m and hinged at A, as in Fig. P2.120. At what angle will the beam float in 20°C water?

A rigid hose is carried on a buggy and is put into seawater (p=2 slugs/ft^3) to spray seawater onto the walls of yachts to remove algae. The crew inserts the hose intake 6 ft below the surface of the water. You can assume that the hydrostatic pressure at the intake depth in sweater is equal to the pressure if the intake. We are told that the weight of all the water in the hose system is 550 lbf D₁ = Diameter of intake = 2 ft D₂ = Diameter of outflow = 1 ft The velocity at outflow = 65 ft/s Pressure at outflow = Atmospheric (free jet) Flow is in steady state Angle = 42°

2. The dead sea is a popular tourist destination. It is much easier to float due to the high salinity of the water. The specific gravity is 1.240. a. What is the density if water in the dead sea? b. What is the absolute water pressure on a diver at a depth of 500 feet in both atm and Pa?

A tank contains 9 kg of CO₂ at 20°C and 2.0 MPa. Estimate the volume of the tank, in m³.

You are designing a parachute for a person who's mass is 85 kg. This person is going to fall through the air and air temperature and pressure are -10° C and 95 kPa respectively. if the parachute itself has a mass of 1.5 kg and terminal velocity of the person is 6 m/s, calculate the required diameter of the parachute. Consider, drag coefficient as 1.4. [HINTS: Use the ideal gas law to find air density. Specific gas constant for dry air, R=287.053 J/kgk]

A 1500-ft long horizontal and non-fractured well with 6-in. radius is completed in a 55-acre drainage area. The formation net pay is 75 ft thick with the net to gross ratio of 0.9 and has a porosity of 6.5%. The formation permeability values are 2 md and 15 md in vertical and horizontal directions, respectively with the relative permeability to oil of 0.82. The oil has a viscosity of 0.55 cp and the formation volume factor is 1.22 bbl/STB. Earlier test conducted at this well resulted in the calculation of a skin value of 0.8. The correction factor for wellbore friction is 1.0. ● Determine the Productivity Index (PI) for this well.