Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Mechanical Engineering Expert

Problem specification:

5 kg of air is contained in the 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, via a polytropic process, with variable values of n, to a final specific volume of 0.30m3/kg.

Objective:

prepare down a MATLAB code to solve for the pressure and temperature variation all through the expansion process and to compute the work and heat produced in the processes for variable values of n.

Procedure:

A) Start by defining the temperature at initial state and then define the temperature and pressure at final state. Sketch a rough graph of what the process looks like on P-v coordinates. prepare out by hand the equations and steps you would take to find out the actual P, T, and v at all points all along the process. Identify unknowns, equations, constants and calculation orders.

B) By using your hand calculations as a guide, prepare a simple MATLAB m-file to compute the properties at points all along the process (minimum of 20 points, however must be a variable that can be changed) by using one of the values of n (I recommend using n = 1.5).  Plot P-v and T-v diagrams for the process by using the MATLAB.

C) Compute the work performed for the process by integrating the curve of pressure versus specific volume. Use the ‘trapezoidal area method’ for computing the integral.

D) Suppose that the specific internal energy for the air in this problem can be defined as the function of temperature as shown below:

 u(T) = (1.0344 ∗ 10−4) ∗ T2 + (6.4476 ∗ 10−1) ∗ T + (1.3727 ∗ 102)

Add code to your MATLAB program to compute the specific internal energy for the process by using the information of the pressure and specific volume at each and every state.

E) Using conservation of energy and the work computed, find out the amount of heat transferred for each process.

F) prepare a loop in the code to analyze the various values of n, or run the code for the distinct values of n asked for below.

Deliverables:

A) Hand calculations which outline planned MATLAB code.

B) MATLAB code (m-file) which find outs the state variables P, v, T, and u for the defined process, and which find outs the work and heat for each process.

C) On same graph, plot of P-v for this process with 4 different values of n: 1, 1.4, 1.5, 1.8.

D) Plot of P-v and T-v for n=1.5 on a single graph. Use the function plotyy.

E) Table summarizing results of work and heat as a function of n.

F) A brief paragraph detailing what you learned and how useful you think such skills will be for your future as an engineer.

Mechanical Engineering, Engineering

  • Category:- Mechanical Engineering
  • Reference No.:- M9610

Have any Question? 


Related Questions in Mechanical Engineering

How much would the maximum stress in the boston molasses

How much would the maximum stress in the Boston molasses tank have been increased by the reduction in wall thickness from the design spec, 0.687 in, to 0.667 in?

A critical bolted joint in a nuclear power plant requires a

A critical bolted joint in a nuclear power plant requires a specific bolt preload. The access prevents a direct, accurate measurement of the actual bolt preload. It is planned to use a UNF 7/16-20 bolt with a root diamet ...

A nut having an effective length of 2 in and a 12-16 un

A nut having an effective length of 2 in. and a 1/2-16 UN thread is snug tightened and then turned 308. How much preload will that create in the bolt? Is that an acceptable preload? Describe the typical torque-turn tight ...

A solid circular rod of known radius is twisted in a

A solid circular rod of known radius is twisted in a testing machine with a known torque T. Only one strain gage is available. Does each of the test setups below give us enough information to determine the shear modulus ...

A water jet pump has an area ajnbsp 006 ft2nbspand a jet

A water jet pump has an area A j  = 0:06 ft 2  and a jet velocity v j  = 90 fps, which entrains a secondary stream of water having a velocity v s  = 10 fps in a constant-area pipe of total area A = 0.6 ft 2 . At section ...

A cable with a length h a cross-sectional area a and

A cable with a length H, a cross-sectional area A, and modulus E is attached to the end of a cantilever beam with length L, second moment of area I, and modulus E (same modulus as the cable). The beam is loaded with a fo ...

Given the result of problem 67 estimate the magnitude of

Given the result of Problem 6.7, estimate the magnitude of the radial deflection of a pressurized cylinder as a fraction of its thickness Problem 6.7: Given that the hoop strain is likely to be a very small number, estim ...

1 what is the pressure panbspin the figure the specific

1. What is the pressure p A  in the figure? The specific gravity of the oil is 0.8. 2. Find the difference in pressure between tanks A and B, if  d 1 = 2ft, d 2 = 6 in., d 3 = 2.4 in., and d 4 = 4 in. 3. What is the pres ...

1 if the density of sea water is approximated by the

1. If the density of sea water is approximated by the equation of stat is the compressibility, determine the pressure and density at a point 32,000 ft below the surface of the sea. Assume β = 300,00 psi. 2. The change in ...

What must the bolts in a shear joint do to prevent its

What must the bolts in a shear joint do to prevent its failure? Describe some of the factors that make it difficult to create an exact and predicted amount of clamping force during assembly? How does an external load on ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro