Quastion 1:

choose the right answer for the following questions:

a) Euler’s equation arises from neglecting the …………. Terms in the more general Navier-Stokes equations.

1- Density 2- Pressure 3-Viscosity 4-None

b) A……………. is used to decelerate a flowing fluid to zero by a frictionless process, thereby allowing the measurement of stagnation pressure.

1-Static pressure probe 2-pitot tube 3-orifice plate 4-none

c) There is a flow probe that depend on 5 parameters and has 3 independent Dimensions. How many pi parameters will that flow problem have?

1-3 2-5 3-2 4-Not enough information

D) The Reynolds number compares initial to ……   effect in a flow problem.

1- Pressure 2- Surface tension 3-Viscus 4- none  

Hot air flows with a mass flow rate of 0.05 kg/s through an insulated square duct with side of 0.15m, the hot air enters at 103 ^oC and after a distance of 5m, cools to 85 ^oC. The heat transfer coefficient between the duct outer surface and the ambient air (T_air = 0 ^oC) is 6 W/m² K.

Calculate the heat transfer coefficient between hot air and duct inner wall.

Air Cp = 1.011 KJ/kg K; air k = 0.0306 W/m K, air viscosity = 211.7*10 ^-7 Ns/m2; air Pr = 0.698

The American novelist James Baldwin wrote, "Words like freedom, justice, democracy are not common concepts; on the contrary, they are rare. People are not born knowing what these are. It takes enormous and, above all, individual effort to arrive at the respect for other people that these words imply." Do you think you know what the words (freedom, justice, and democracy) mean? How did you derive your own meaning for these words?

Create a script that calculates the sine, cosine, and tangent of a vector from 0 to2? with steps of ?/16. The numbers should have three digits to the right of the decimal. Determine an appropriate field width. Use fprintf to display the output in tabular format with the following headers. x sin(x) cos(x) tan(x) Also, plot the three equations in the same figure window, but on separate axes. Plot all thee equations from 0 to 2? on the x-axis. Plot the tangent values (y axis) from -5 to 5 only.

Moist air (RH = 60%) at 80^oF enters an Evaporative cooling unit as it enters a greenhouse and leaves at 100% saturation.

How many pounds Water per pound of Air will be required?

Select one:

a. 0.0155 lbs H₂O per lb Air

b. 0.002865 lbs H₂O per lb Air

c. 0.028656 lbs H₂O per lb Air

d. 0.01315 lbs H₂O per lb Air

e. 0.002344 lbs H₂O per lb Air

3. (a) What is the difference between the signal measurement methods in ‘differential mode’ vs ‘single ended measurement’?

A sensor is used to calculate the kinematic attitude of a satellite with respect to a reference frame.

Two stars are observed by the sensor, S1 and S2.

In the reference frame, S1 has coordinates (0, 1, 0) and S2 has coordinates (-1, 0, 0), the three coordinates represent the i,j,k directions in the reference frame.

In the body frame, S1 has coordinates (1 ,0, 0) and S2 has coordinates (0, 1, 0), the three coordinates represent the iB,jB,kB directions in the body frame.

Find the directional cosine matrix which translates the coordinates from the reference frame to the body frame.

a) A mass of 400 kg is to be raised by the actuation of two identical hydraulic cylinders with a piston diameter of 120 mm. Calculate the required system pressure to just raise the load.

(b) If the load is to be raised 600 mm in 10 seconds, what will be the required flowrate (Q) in l min^–1?

What are Rosette analysis and Flexure formula?

Comment on the comparison between experimental values obtained through Rosette analysis with those values obtained through Flexure formula.

The Young’s Modulus of Aluminium is around 70 GPa. Comment on any difference obtained from the experiment and the expected value of 70 GPa.

Each of the two wheels of a motor bike have a mass of mw = 10 kg, radius of rw = 330 mm, and radius of gyration kw = 0.25 m. A motor bike and rider with a total mass of m = 206 kg travels round a bend of radius R = 80 m at a speed of 135 km/h. The engine rotates in the same sense as the wheels and at four times their speed. The engine rotating parts have mass of me = 12 kg and radius of gyration ke = 0.08 m. The combined center of gravity of the cycle and the rider is 0.7 m. Determine  
1.1 the angle of banking of the track for a smooth ride without slip

In a non-ideal Rankine cycle saturated vapor (x=1) enters the turbine at 8.0 MPa and saturated liquid water (x=0) exits the condenser at a pressure of Pexit. Pexit = 0.006 MPa. The net power output of the cycle is given as 100 MW. Knowing that the isentropic efficiency of the pump is 0.85 generate the following plots in Excel or in similar programs for the given range of the isentropic efficiency of the turbine. (Please submit your Excel sheet or your computer program with the homework.)

a) Isentropic efficiency of the turbine 0.7 < ?T < 0.9 vs. steam mass flow rate

b) Isentropic efficiency of the turbine 0.7 < ?T < 0.9 vs. Rate of heat transfer from the boiler to the compressed water at the outlet of the pump

c) Isentropic efficiency of the turbine 0.7 < ?T < 0.9 vs. thermal efficiency of the cycle

An iron block of mass miron = 1 kg at a temperature of Tiron = 200°C is thrown in sub-cooled water of mass m at Twater = 25°C enclosed in an insulated container. Calculate and plot in Excel or in similar programs the entropy generated as a result of the heat transfer process for a range of water mass values between 10 kg and 10,000 kg. (Please submit your Excel sheet or your computer program with the homework.

What is the principle behind the velocity measurement of fuid? What is static pressure? 7. What is flow rate? How to measure the flow rate? How to determine the volmne flow rate for given meter type, fluid characteristics, pressure measurement, temperature and pipe size?