a. State the difference between personal frequency and excitation frequency
b. State the difference in angular frequency and linear frequency
c. State the difference between transient response and steady state response
d. Mention the different meanings of eigenvalue and eigenvector in the vibration equation
e. Mention the difference between viscous and silencer d

Consider the two-dimensional laminar boundary layer flow of air over a wide 15 cm long flat plate whose surface temperature varies linearly from 20°C at the leading edge to 40°C at the trailing edge. This plate is placed in an airstream with a velocity of 2 m/s and a temperature of 10°C. Numerically determine how the surface heat flux varies along the plate.
Explain the results obtained with proper reasoning. Support your results with scaling analysis wherever possible.I need c++ program to solve the similarity equations.

6 m³/s recirculated room air at 22^oC T_db and 50% saturation, is mixed with 1.5 m³/s of incoming fresh air at 10^oC T_db and 6^oC T_wb. Determine all properties of the mixed air that you can get form the psychrometric chart (APPENDIX 2).

19.7 Consider an AISI 4135 steel in which all of the alloying elements have the mean or average value of their ranges.

(a) Determine its ideal critical diameter.

(b) Determine the maximum diameter of a bar of this material that can be quenched so as to obtain a 50 percent martensite–50 percent pearlite structure at its center when given a poor oil quench.

(c) Make the same computation, but now assume that the bar is given a brine quench.

3-5 page paper on Graphene

a steam power plant operates on a superheated rankine cycle where steam at 10kg/s entering the turbine at 5MPa and 375 degree celcius and leaving the turbine at saturated vapor at pressure 100 times less then initial. If the compressor efficiency is 85% ,

I) sketch the cycle of T-s diagram

ii) calculate the temperature and pressure for all points in the cycle

iii) calculate the compressor work

iv) calculate the turbine work and turbine efficiency

v.) calculate the thermal efficiency of the cycle

vi) if the efficiency of turbine and compressor is 100%;

a) is there any changes in temperature of the steam leaving the compressor and turbine? why?

b) Is there is any changes in the thermal efficiency of the cycle? prove the statement

3 kg of air in a closed movable container undergoes a few processes. Initially, the air with P1=330kPa and T1=70°C is cooled without producing any work until P2= 100kPa, and then it is expanded according to PVn=cont, where n=1.84 until the volume is double. The air again will be heated without changing the volume until the temperature of the air increase to the initial temperature. It is then cooled with constant pressure until the volume becomes 0.5m3. The air undergoes isothermal compression process with Wb=-130kJ. Finally, the air undergoes a polytropic expansion to the initial state.

1.1. Sketch the P-V diagram

1.2. Find all P’s, V’s and T’s

1.3. Calculate all Q’s

1.4. Determine the nett work of the cycle

4. 4MPa, 350°C of water vapor enters the insulating turbines, and is discharged into 50kPa of saturated vapor after expansion. Ignore kinetic energy and position energy.
1) Draw a schematic diagram and a T-s diagram of the turbine.
2) Obtain turbine efficiency.
3) Obtain entropy change from turbine.

Air at 50 ° C with 1.7 bar gauge pressure enters the cylindrical bearing system, the diameter of which is below, and standing in an upright position, with an average flow rate of 2.6 m / s for drying purposes. In the fluid state, the porosity value of the bed is desired to be 0.61 m and its height 0.53 m. Inside the bed are fresh kidney beans with a diameter of 8 mm.
a). When the air enters the bed, is the inlet speed of the air sufficient for the bed to be in a fluid form as desired above, or is it necessary to adjust the air speed in accordance with the desired conditions?
b). Find the drag force that acts on a single kidney bean while the bearing is fluid.
c) What is the absolute pressure value of the air when leaving the fluidized bed?

You can get the density of kidney bean grains 1120 kg / m.
The diameter of the bed is 18 cm

a frozen ice cream is placed into a container before the freezing process is complete. The container has dimensions of infinite shapes 8, 10 and 12 cm and is then placed in a water blast freezer with a heat conductivity coefficient of 50W / (m2 K). product temperature of -14 degrees centigrade and air temperature of -25 degrees centigrade. product density is 700 Kg / m3, thermal conductivity (frozen) 1.2 W / (m K) and specific heat 1.9 kJ / (Kg K). if latent heat is lost during the 80kJ / kg freezing blast process, make an estimated freezing time ... (kJ / W)

Mastery Question:

1. Show an engineering problem and solve the kinematic parameters by using normal-tangent coordinates systems used to define the motion of an object.

Note: Provide a clear diagram of the suggested engineering problem with detailed calculation.

1. Show an engineering problem and solve the kinematic parameters by using polar coordinates systems used to define the motion of an object.

Note: Provide a clear diagram of the suggested engineering problem with detailed calculation.

A centrifugal pump has an eye diameter and an impeller diameter of 300 mm and 600 mm respectively while running at 850 rpm. When rotating, the blade angle is measured at 35^o at the outlet with considering the tangent. The flow velocity is limited at 5 m/s constantly. Determine the following;

(a) inlet blade angle

(b) outlet absolute velocity with its angle at outlet and

(c) the manometric head.

An engineer is conducted the centrifugal pump at aircraft hangar. The pump has an eye diameter and an impeller diameter of 200 mm and 500 mm respectively while running at 900 rpm. While it rotate, the blade angle is measured at 35^o at outlet with considering the tangent. The flow velocity is limited at 3 m/s constantly. Evaluate the

(a) inlet blade angle

(b) outlet absolute velocity with its angle at outlet and

(c) the manometric head.