Thermodynamics, Mechanical Engineering

Assignment Help:
Problem specification
5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a specific volume of 0.08m3/kg. The air then expands, as an ideal gas, through a polytropic process, with variable values of n, to a final specific volume of 0.30m3/kg.
Objective:
Write a MATLAB code to solve for the pressure and temperature variation throughout the expansion process and to calculate the work and heat produced in the processes for variable values of n.
Procedure:
1. Begin by defining the temperature at the initial state and then define the temperature and pressure at the final state. Sketch a rough graph of what the process looks like on P-v coordinates. Write out by hand the equations and steps you would take to determine the actual P, T, and v at all points along the process. Identify unknowns, equations, constants, and calculation orders.
2. Using your hand calculations as a guide, write a simple MATLAB m-file to calculate the properties at points along the process (minimum of 20 points, but should be a variable that can be changed) using one of the values of n (I recommend using n=1.5). Plot P-v and T-v diagrams for the process using MATLAB.
3. Calculate the work performed for the process by integrating the curve of pressure versus specific volume. Use the “trapezoidal area method” for calculating the integral.
4. Assume that the specific internal energy for the air in this problem can be defined as a function of temperature as follows:
??(??)=(1.0344*10-4)*??2+(6.4476*10-1)*??+(1.3727*102)
Add code to your MATLAB program to calculate the specific internal energy for the process using the information of the pressure and specific volume at each state.
5. Using conservation of energy and the work calculated, determine the amount of heat transferred for each process.
6. Write a loop in the code to analyze the different values of n, or run the code for the different values of n asked for below.
Deliverables
1. Hand calculations that outline planned MATLAB code.
2. MATLAB code (m-file) that calculates the state variables P, v, T, and u for the defined process, and that calculates the work and heat for each process.
3. On the same graph, plot of P-v for this process with 4 different values of n: 1, 1.4, 1.5, 1.8.
4. Plot of P-v and T-v for n=1.5 on a single graph. Use the function plotyy.
5. Table summarizing results of work and heat as a function of n.
6. A brief paragraph detailing what you learned in this exercise and how useful you think these skills will be for your future as an engineer. This is not a BS question, I want you to provide me with useful information about your experience. If you didn’t learn anything here because you already are a pro at MATLAB, say that!

Related Discussions:- Thermodynamics

Manual engineering drawing , Manual Engineering Drawing: The physical o...

Manual Engineering Drawing: The physical object is to be drawn (Do not take photographs of the object or use it as a template that you trace with) in class as an isometric dra

Injection molding, finishing operation of telephone outer body after inject...

finishing operation of telephone outer body after injection molding

Determine the need for insulation, Q. Determine the need for insulation? ...

Q. Determine the need for insulation? Equipment and piping shall be insulated as required for heat conservation, process heat control and personnel protection. The temperatu

Stacking in the applicators storage, Q. Stacking in the Applicators storage...

Q. Stacking in the Applicators storage? Stacking in the Applicator's storage yard shall be in accordance with good safety practices and/or OWNER Specifications. Sufficient spac

Pole-relative pole-accuracy points-freudenstein’s equation, Pole: this is...

Pole: this is the centre of finite rotation of the coupler. Relative Pole: this is the pole of coupler associated to other moving link. Accuracy Points: The points at w

Carbon and low alloy steels for welding, Q. Carbon and Low Alloy Steels for...

Q. Carbon and Low Alloy Steels for Welding? All welding of pressure retaining equipment must be completed as per the respective code, typically ANSI/ASME B31.1 or Section VIII

Determine the shape of the beam, Determine the shape of the beam: A si...

Determine the shape of the beam: A simply supported beam of span l carries a concentrated load P at midspan. If the beam is to be a beam of consistent strength, determine the

Answer, brifely explain 2r-2p invertion

brifely explain 2r-2p invertion

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd