One kilogram of water in a piston-cylinder assembly undergoes the two internally reversible processes in series. P₁ = 0.1 MPa, T₁ = 100C, s₁ = s_2​ = 7.3164 kJ/kg*K​, P₂ = 0.5 MPa, T₂ = T₃, P₃ = 1.5 MPa, and u₁ = 2506.7 kJ/kg. Find T₂. Legibly show and explain all work, units, and formulas.

Water at a local bulk temperature of 24°C flows at 0.8 m/s through a smooth, 1.5-cm-ID tube that is kept at 30°C and the flow is fully developed.

a) The system is extremely clean and quiet; therefore, the flow stays laminar regardless of the magnitude of ReD, until a noisy air compressor is turned on in the laboratory. Then the flow suddenly goes turbulent. Calculate the ratio of turbulent to laminar heat transfer coefficients. Use the Gnielinski correlation for turbulent flow.

b) Air at 227°C flows across the pipe at 20 m/s. Find the pipe wall temperature assuming the water flow to be turbulent, h from part a). You may assume a thin-walled pipe. This calculation is performed at the local point where the bulk temperature is 24°C.

Prove that raising the pressure will increase melting point (T_m) of a metal. Use the Clausius-Clapeyron eqn., and remember that the enthalpy of a liquid is larger that the enthalpy of solid. Then consider the difference in molar volumes of the liquid and the solid

Air expands through a turbine operating at steady state. At the inlet, p₁ = 150 lbf/in.², T₁ = 1400°R, and at the exit, p₂ = 14.8 lbf/in.², T₂ = 900°R. The mass flow rate of air entering the turbine is 11 lb/s, and 65,000 Btu/h of energy is rejected by heat transfer.

Neglecting kinetic and potential energy effects, determine the power developed, in hp.

Given the I/O equation
2ẏ + 10y = 3u(t) Sketch the response y(t) for a step input u(t) = 6U(t) and the initial condition y(0) = −2.

Using the Laplace Transform. Find the time constant to improve your sketch of the response.

Question 1 – Case Study (30%)
You are required to produce a written assignment of maximum 500 words for each section. Each section is 15 marks.
(a) The management of your company has requested you to propose two CAD
system for the new design project that was recently awarded to the company.
Your proposal should be a comparative study and include: -
i) CAD software name and developer
ii) Hardware and system requirements
iii) CAD/CAM features and capabilities
iv) Price
Based on the comparisons, given your recommendation on the suitable CAD system.
(b) Locate an engineering company (you may have visited as part of your work related learning) and produce your own case study of how the investment in CAD CAM has affected the business. You should produce an analysis of the investment and the impact on the output of the business. Identify also how they also may be planning to introduce additional machines as a result of the improvement in production.

100 people enter a room that is initially at a temperature of 15 C and pressure of 1bar. Each person losses heat to the air in the room at a constant rate of 300 W at a constant temperature of 37 C. The air mass in the room is 750 Kg, remains constant and its cv = 0.79 kJ/(Kg K), cp = 1.08 kJ/(Kg K) and the gas constant is 0.287 kJ/(Kg K). Air enters the room at a temperature 25 C at a mass flow rate of 0.01 Kg/s and leaves the room at the temperature of the room and at the same mass flow rate. The pressure remains constant during this process.

a) Determine the temperature of the air in the room after 30 minutes assuming that there is no heat transfer from the room to the surroundings because it is heavily insulated.

b) Calculate the entropy production for this process assuming that the people are at a temperature of 310 K.

A low-carbon steel plate is 270 mm wide and 25 mm thick. It is reduced in one pass in a two‑high rolling mill to a thickness of 20 mm. Roll radius = 300 mm, and roll speed = 30 m/min. Strength coefficient = 500 MPa, and strain hardening exponent = 0.25. Determine (a) roll force, N (b) roll torque, N-m and (c) power required to perform the operation kW.

A steel alloy specimen having a rectangular cross section of dimensions 19.1 mm × 3.0 mm (0.7520 in. × 0.1181 in.) has the stress-strain behavior shown in the Animated Figure 6.22. If this specimen is subjected to a tensile force of 95120 N (21380 lbf) then (a) Determine the amount of elastic strain induced. (b) Determine the amount of plastic strain induced. (c) If its original length is 590 mm, what will be its final length after this force is applied and then released? The elastic modulus for steel is 207 GPa.

Solve the following set of equations with LU factorization with pivoting:
3x1 -2x2 + x3 = -10
2x1 + 6x2- 4x3 = 44
-8x1 -2x2 + 5x3 = -26

Please show all steps

Aluminum fins of triangular profile are attached to a plane wall whose surface temperature is 100°C. The fin base thickness is 2.0 mm, and its length is 10 mm. The system is in ambient air at a temperature of 20°C, and the surface convection coefficient is 40 W/m2·K. (a) What are the fin efficiency and effectiveness? (b) What is the heat dissipated per unit width by a single fin?

(a)nf=

ef=

(b)q'f=

A brick wall 25cm thick, initially at 80°C has a medium at 15°C suddenly placed in conatct with both of its surfaces through a heat transfer coefficient of 90W/m2°C. Find the temperature at a point 2.5cm from the surafce after 10hrs have elapsed. Find also the heat that has flowed out of the wall during that time. Take ρ = 1602kg/m3, cp = 0.84kJ/kg°C, k = 0.69W/m°C,and α = 5.2×10-7m2/s.