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

Objectives of basic troubleshooting of motorcycle , Objectives After s...

Objectives After studying basics troubleshoot of motorcycle, you should be able to check, perform inspection and identify the reason(s) of various problems reported by

Fermenter dimensions and mechanical design, Once the total volume of an ind...

Once the total volume of an individual vessel has been established the detailed dimensions or mechanical design can be performed. Much of this is based on "Rules of Thumb"  built f

Instantaneous center method, Linear velocity of links using Instantaneous c...

Linear velocity of links using Instantaneous center method

Electrical system, Electrical System: Electrical system consists of a batt...

Electrical System: Electrical system consists of a battery, spark plug, lighting system, ignition system, charging system and electricity generator. These components of electrical

Construction activities for plant, Construction Activities for plant Co...

Construction Activities for plant Construction activities, such as shoring and bracing of excavations, lifting and rigging activities and scaffolding need to be considered as p

Present marketing information, Question: (a) When you are provide a de...

Question: (a) When you are provide a design brief, marketing forms an important aspect that involves researching and computing a potential opportunity to enter a market. What

Calculate force required for equilibrium, Calculate force required for equi...

Calculate force required for equilibrium: A member ABCD is subjected to the point loads P 1 , P 2 , P 3   an d P 4   as shown in the figure given below

Determine the mean radius of an open coiled spring, Determine the mean radi...

Determine the mean radius of an open coiled spring: Determine the mean radius of an open coiled spring of helix angle of 38 o , to give a vertical displacement of 20 mm and an

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