A shock wave in air exists in a de Laval nozzle where the cross-sectional area is 130 cm².The inlet Mach number, area and static pressure are 0.35, 210 cm² and 350 kPa. The exit area of the nozzle is 135 cm². Find:

• The back pressure for this shock wave to occur

explain the consideration in the design of the dimensions of formed and the parallel key having rectangular cross- section

For the flow over a circular cylinder discuss the differences and similarities between the potential flow solution and the real viscous flow.

A well was drilled to 3000 meters depth with a casing of (9 5/8 inches) nine and five eigths inches with an internal diameter of 6,69 inches, they continued drilling up to 4800 meters obtaining a diameter of 6.7 inches average. Before finishing the drilling they made a test with a drill pipe of (5 1/2 inches) five and a half inches long with a diameter of 4,78 inches until the bottom of the well.
If we consider that the pump used for the job it's a triplex pump, calculate the returning time of the drill pipe that the test was made with.

A well was drilled to 3000 mts depth with a casing of 9 5/8 inches outer diameter and an inner díameter of 6,69 inches, they continued drilling up to 4800 mts obtaining an average hole diameter of 6,70 inches .
Before finishing the drill hole, they sent down the Casing a set of drill pipes with a Tricone . The drill pipes measured 5 1/2 inches outer diameter and an inner diameter of
4 7/8 inches.
Taking into account that the water pump used for the job is a triplex pump, calculate the time for the return of water when the pump efficiency is 0,94 with a cylinder length of 7,5 inches and a displacement 4 gallons/stroke and 30 strokes/ minutes

1. A circular Euler column with one end fixed and the other pinned (or hinged or simply-supported) is under a compressive axial load. Given the length L of the column and bending rigidity EI, what is the buckling load P_cr ?

Stresses at a point are: 60 MPa in the x-direction, 80 MPa in the y-direction and no shear stress in this reference x-y plane. Note that these are already the principal stresses and the reference plane x-y is the principal plane. What are the stresses at 45^o clockwise from the principal planes? Show them on a properly-oriented element. Mohr’c cirle is to be used and no equations will be accepted.

2. Initially, the steel sphere with a diameter of 15 cm with a temperature of 200°C was left to cool in the airflow at a temperature of 6 m/s. By making the necessary acceptances, calculate the amount of time the aluminum sphere will fall to a temperature of 50°C.

The relevant correlation for forced transport on the sphere;

NuD = 2 + (0.4 ReD 0.5+ 0.06 ReD 2/3) Pr 0.6 (μo/μy)1/4

The flow limit of commercial-grade aluminum is given as σ = 120 MPa, the modulus of elasticity is E = 70 GPa and the density is 2.7 gr / cm3.
a) There is a 4mm diameter and 3m long wire which made with this material. How many N should be applied to make this wire 3mm longer?
b) If a 4 mm diameter wire made of this material is hung from the ceiling, what should be the total length of the wire to carry its own weight without plastic deformation?

just please step-by-step because it's too important for me. thanku so muc

design and their source water heat pump using simulation of software Photon 77 and explain step-by-step the theoretical as well as experimental steps to be carried out in order to design linear compressor technology in the air source heat pump using split evaporator

Two large tanks with the same levels of water inside, one is open to the atmosphere while the other is closed and pressurized with an inside pressure of 65 k Pa gage . Water is to be pumped to the pressurized tank by a pump with 85% efficiency, placed in a stainless steel pipe connecting the two tanks at the lowest level. The pipe is 9cm in diameter, 100 m long and the volume flow rate is 0.025 m³/s

• find the power of the pump

A plate of length 4m in the direction of the flow and of width 2m is pulled at a speed of 108 km/h in water at 15^oC find the power needed against the shear force for one side of the plate .

b- oil with dynamic viscosity=0.1 N-s/m² and density=863 kg/m³ flows between 2 parallel plates 2.5 mm apart and inclined 30 degrees to the horizontal at a rate of 300 cm³/s per one meter of width. Calculate the pressure gradient in the direction of flow.

A pump curve provided by a manufacturer is given by h= 20[1 − (Q/100)²] where h is the head provided by the pump in meters and Q is the discharge in liters per minute. The system curve for a pumping application is

h= 5+0.002Q² (Q in liters per minute).Find the Operating point (Q) for

• one pump
• two pumps connected in series
• two pumps connected in parallel

. Air enters the compressor of a gas turbine power plant operating on Brayton cycle at 14.5 psia and 540° R. The pressure ratio across the turbine and compressor is same, which is equal to 6. Assume that the compressor work as 0.4 times the turbine work. Take K=1.4 a) Draw the T-S diagram of the cycle. [2] b) Calculate the maximum temperature in the cycle. [3] c) Calculate the cycle efficiency

Write a two page report on the recent space travel by NASA and SpaceX. Explain any two electronic subsystems involved.

An ideal Rankine cycle operates between 2700 psia and 1050° F at throttle and 4 psia in the condenser. One high pressure open type feed-water heater and one low pressure open type feed water heater are placed at 700 psia and 190 psia respectively. a) Draw the schematic flow and T-S diagrams of the cycle [3] b) Calculate mass flow rate in the both heaters. [2] c) Calculate heat rejected. [2] d) Calculate cycle efficiency. [4] e) Calculate work ratio. [1] Assumption: 1 lbm/h flow at turbine throttle and no flow pressure drops.