Transient Thermal Diffusion Model using the Finite Difference Method
Dear this is a combo coursework, it has a part to program using a matlab then writing a report of minimum of 1000 words.
BACHELORS DEGREE ASSIGNMENT SPECIFICATION
Student name:
Student P number:
Programme: BENGAUTOMOTIVE / MOTORCYCLE ENGINEERING
Module: Advanced computational methods Module Level (4, 5, 6): 6
Module code: M6X00408 Contribution to Overall
Module Assessment (%): 50 %
Internal Verifier:
Assignment Title: Transient Thermal Diffusion Model using the Finite Difference Method Assignment No (x of x): 1of2
Hand Out Date: 10 / 11 / 2016
Submission deadline:
Referencing: In the main body of your submission you must give credit to authors on whose research your work is based. Append to your submission a reference list that indicates the books, articles, etc. that you have read or quoted in order to complete this assignment (e.g. for books: surname of author and initials, year of publication,title of book, edition, publisher: place of publication).
Disclosure:
I declare that this assignment is all my own work and that I have acknowledged all materials used from the published or unpublished works of other people. All references have been duly cited.
Student’s Signature:
Assignments will not be accepted without a signature here
Date:
Turnitin: Lecturer totick to indicate if an electronic version of the assignment must be submitted to Turnitin. Note: the Turnitin version is the primary submission and acts as a receipt for the student. Both electronic and paper versions MUST be submitted by the same deadline. No marks will be released until both submissions are received. Late submission of either the electronic or paper version will result in a late penalty mark. Penalties for late submission: Up to one week late, maximum mark of 40%. Over one week late, Refer. Only Year Tutors and the Programme Director may grant an extension. YES
NO
Learning Outcomes tested
(from module syllabus) Assessment CriteriaTo achieve each outcome a student must demonstrate the ability to:
Ability to analyse and model an engineering problem
Programming competence in Matlab
Use of the finite difference method
Critical awareness of the limitations of the model Implement the finite difference method in Matlab to calculate the heat propagation through an aluminium plate and then critically evaluate the results and suggest improvements.
Please submit the assignment parts in a suitable report folder or stapled– NOT IN POLYPOCKETS
This form (ALL PAGES) MUST be at the front of the paper submission. Assignments will not be accepted without this form as it is a requirement that you sign the disclosure regarding referencing convention.
DO NOT put this form into Turnitin or it will match many similarities with other students’ submissions.
TASK DESCRIPTION
During this assignment you will implement a model inMatlab to solve the time-dependent thermal diffusion equation using the finite difference method to calculate the temperature distribution within a rectangular plate with prescribed initial and boundary conditions.
GUIDANCEFOR STUDENTS IN THE COMPLETION OF TASKS
You have been tasked with calculating the temperature distribution within an aluminium plate through time.
The calculations will be done considering the region of interest (that is the 2 dimensional aluminium plate) covered by a uniform grid, as shown in the following figure, where the grid spacing is h=∆x=∆y.
The temperature calculations will be based on the Explicit Method.
The Aluminium properties are:
Conductivity: k = 143 W/m.C
Density: = 2.8 103 kg/m3
Specific Heat: c = 795 J/kg.C
The prescribed initial and boundary conditions are:
CODE 1:
CODE 2:
The dimensions of the plate, the grid spacing h and the Fourier Number F0 should be the choice of the user of the model.
You must complete the following:
A model in Matlab based on the Explicit Method that does the following
Ask the user to define the dimension of the plate along the x-axis
Ask the user to define the dimension on the plate along the y-axis
Ask the user to choose a value for the Fourier Number
You should make sure that the stability criterion cannot be broken.
Ask the user to choosethe grid spacing.
You should make sure that the grid spacing complies with the dimension of the plate.
Calculate the temperatures inside the plate at each time step.
Display the temperatures at each node of the plate at every time step
The programme should stop when convergence to the final temperatures within the plate is reached.
A report detailing your findings. Your report must contain;
Details of your Finite Difference model (Script) [60 marks]
Details of your results. [10 Marks]
A discussion as to the limitations of the model. [10 Marks]
Suggested improvements to the model. [10 Marks]
You should submit your MatlabScript of your model along with your report which should be 1000 words (minimum) and should contain screenshots from your analysis. This must be handed in through Turnitin and a hard copy must be handed in to the Owen Library. Any sources used must be referenced correctly using Harvard referencing. Any blank CDs or corrupt files will count as non submissions.
Report structure and presentation [10 Marks]
MARKING CRITERIA AND STUDENT FEEDBACK
This section details the assessment criteria. The extent to which these are demonstrated by you determines your mark. The marks available for each criterion are shown. Lecturers will use the space provided to comment on the achievement of the task(s), including those areas in which you have performed well and areas that would benefit from development/improvement.
Common Assessment Criteria Applied Marks available Marks
awarded
1. Research-informed Literature
Extent of research and/or own reading, selection of credible sources, application of appropriate referencing conventions.
Assessed in Task2c, 2d and report
5
2. Knowledge and Understanding of Subject
Extent of knowledge and understanding of concepts and underlying principles associated with the discipline.
Assessed in Task 2a
40
3. Analysis
Analysis, evaluation and synthesis; logic, argument and judgement; analytical reflection; organisation of ideas and evidence
Assessed inTask 2b, 2c and 2d
40
4. Practical Application and Deployment
Deployment of methods, materials, tools and techniques; application of concepts; formulation of innovative and creative solutions to solve problems.
Assessed in Task 2a
10
5. Skills for Professional Practice
Attributes in professional practice: individual and collaborative working; deployment of appropriate media; presentation and organisation.
Assessed in report writing skills
5
Assignment Mark Overall(Assessment marks are subject to ratification at the Exam Board. These comments and marks are to give feedback on module work and are for guidance only until they are confirmed. ) Late Submission Penalties (tick if appropriate) %
Up to one-week late
Over one week late
COMMON ASSESSMENT AND MARKING CRITERIA
OUTRIGHT FAIL UNSATISFACTORY SATISFACTORY GOOD VERY GOOD EXCELLENT EXCEPTIONAL
Assessment Criteria 0-29% 30-39%* 40-49% 50-59% 60-69% 70-79% 80-100%
1. Research-informed Literature
Extent of research and/or own reading, selection of credible sources, application of appropriate referencing conventions Little or no evidence of reading.
Views and findings unsupported and non-authoritative.
Referencing conventions largely ignored. Poor evidence of reading and/or of reliance on inappropriate sources, and/or indiscriminate use of sources.
Referencing conventions used inconsistently. References to a limited range of mostly relevant sources. Some omissions and minor errors.
Referencing conventions evident though not always applied consistently. Inclusion of a range of research-informed literature, including sources retrieved independently. Referencing conventions mostly consistently applied. Inclusion of a wide range of research-informed literature, including sources retrieved independently.
Selection of relevant and credible sources. Very good use of referencing conventions, consistently applied. A comprehensive range of research informed literature embedded in the work. Excellent selection of relevant and credible sources. High-level referencing skills, consistently applied. Outstanding knowledge of research-informed literature embedded in the work. Outstanding selection of relevant and credible sources. High-level referencing skills consistently and professionally applied.
2. Knowledge and Understanding of Subject
Extent of knowledge and understanding of concepts and underlying principles associated with the discipline. Major gaps in knowledge and understanding of material at this level. Substantial inaccuracies. Gaps in knowledge, with only superficial understanding. Some significant inaccuracies. Evidence of basic knowledge and understanding of the relevant concepts and underlying principles. Knowledge is accurate with a good understanding of the field of study. Knowledge is extensive. Exhibits understanding of the breadth and depth of established views. Excellent knowledge and understanding of the main concepts and key theories. Clear awareness of challenges to established views and the limitations of the knowledge base. Highly detailed knowledge and understanding of the main theories/concepts, and a critical awareness of the ambiguities and limitations of knowledge.
3. Analysis
Analysis, evaluation and synthesis; logic, argument and judgement; analytical reflection; organisation of ideas and evidence Unsubstantiated generalisations, made without use of any credible evidence. Lack of logic, leading to unsupportable/ missing conclusions. Lack of any attempt to analyse, synthesise or evaluate. Some evidence of analytical intellectual skills, but for the most part descriptive. Ideas/findings sometimes illogical and contradictory. Generalised statements made with scant evidence. Conclusions lack relevance. Evidence of some logical, analytical thinking and some attempts to synthesise, albeit with some weaknesses.
Some evidence to support findings/ views, but evidence not consistently interpreted.
Some relevant conclusions and recommendations, where relevant Evidence of some logical, analytical thinking and synthesis. Can analyse new and/or abstract data and situations without guidance.
An emerging awareness of different stances and ability to use evidence to support the argument.
Valid conclusions and recommendations, where relevant Sound, logical, analytical thinking; synthesis and evaluation. Ability to devise and sustain persuasive arguments, and to review the reliability, validity & significance of evidence. Ability to communicate ideas and evidence accurately and convincingly.
Sound, convincing conclusions / recommendations. Thoroughly logical work, supported by evaluated evidence. High quality analysis, developed independently or through effective collaboration.
Ability to investigate contradictory information and identify reasons for contradictions.
Strong, persuasive, conclusions, justifiable recommendations. Exceptional work; judiciously selected and evaluated evidence. Very high quality analysis, developed independently or through effective collaboration.
Ability to investigate contradictory information and identify reasons for contradictions.
Highly persuasive conclusions
4. Practical Application and Deployment
Effective deployment of appropriate methods, materials, tools and techniques; extent of skill demonstrated in the application of concepts to a variety of processes and/or contexts; formulation of innovative and creative solutions to solve problems. Limited or no use of methods, materials, tools and/or techniques.
Little or no appreciation of the context of the application. Rudimentary application of methods, materials, tools and/or techniques but without consideration and competence. Flawed appreciation of the context of the application.
An adequate awareness and mostly appropriate application of well established methods, materials, tools and/or techniques.
Basic appreciation of the context of the application.
A good and appropriate application of standard methods, materials, tools and/or techniques.
Good appreciation of the context of the application, with some use of examples, where relevant.
A very good application of a range of methods, materials, tools and/or techniques.
Very good consideration of the context of the application, with perceptive use of examples, where relevant.
Evidence of some innovation and creativity. An advanced application of a range of methods, materials, tools and/or techniques.
The context of the application is well considered, with extensive use of relevant examples.
Application and deployment extend beyond established conventions. Innovation and creativity evident throughout. Outstanding levels of application and deployment skills. Assimilation and development of cutting edge processes and techniques.
5. Skills for Professional Practice
Demonstrates attributes expected in professional practice including: individual initiative and collaborative working; deployment of appropriate media to communicate (including written and oral); clarity and effectiveness in presentation and organisation. Communication media is inappropriate or misapplied.
Little or no evidence of autonomy in the completion of tasks.
Work is poorly structured and/or largely incoherent. Media is poorly designed and/or not suitable for the audience.
Poor independent or collaborative initiative.
Work lacks structure, organisation, and/or coherence Can communicate in a suitable format but with some room for improvement.
Can work as part of a team, but with limited involvement in group activities.
Work lacks coherence in places and could be better structured. Can communicate effectively in a suitable format, but may have minor errors.
Can work effectively as part of a team, with clear contribution to group activities.
Mostly coherent work and is in a suitable structure. Can communicate well, confidently and consistently in a suitable format.
Can work very well as part of a team, with very good contribution to group activities.
Work is coherent and fluent and is well structured and organised. Can communicate professionally and, confidently in a suitable format.
Can work professionally within a team, showing leadership skills as appropriate, managing conflict and meeting obligations.
Work is coherent, very fluent and is presented professionally. Can communicate with an exceptionally high level of professionalism.
Can work exceptionally well and professionally within a team, showing advanced leadership skills.
Work is exceptionally coherent, very fluent and is presented professionally.
Student Self Evaluation Form
Student name: Student P number:
Programme: Year of programme
Assignment Title:
This section repeats in brief the common assessment criteria detailed on previous pages. The extent to which these are demonstrated by you determines your mark. Using these criteria, tick the box that best indicates the level of achievement you feel you have achieved with regard to each of them.
Common Assessment Criteria Applied Level of Achievement
REFER
3rd
2:2
2:1
1st
1st
OUTRIGHT FAIL UNSATISFACTORY SATISFACTORY GOOD VERY GOOD EXCELLENT EXCEPTIONAL
1. Research-informed Literature
0-29% 30-39% 40-49% 50-59% 60-69% 70-79% 80-100%
2. Knowledge and Understanding of Subject 0-29% 30-39% 40-49% 50-59% 60-69% 70-79% 80-100%
3. Analysis
0-29% 30-39% 40-49% 50-59% 60-69% 70-79% 80-100%
4. Practical Application and Deployment
0-29% 30-39% 40-49% 50-59% 60-69% 70-79% 80-100%
5. Skills for Professional Practice
0-29% 30-39% 40-49% 50-59% 60-69% 70-79% 80-100%
PLEASE COMMENT ON AREAS IN WHICH YOU FEEL THAT YOU HAVE PERFORMED WELL PLEASE COMMENT ON AREAS YOU FEEL THAT YOU NEED TO DEVELOP
ASSIGNMENT INTERNAL VERIFICATION FORM
MODULE :
Advanced Computational Methods M6X00408 LEVEL: 6
PROGRAMME :
BEng Advanced Engine Design 649D
BEng Motorcycle Engineering 649J
BEng Motorsport Engineering 648S, 649S
BEng Mechanical and Manufacturing Eng 648N, 649N
BEng Mechanical Engineering 649M
BEng Extreme Sport Engineering 649E TERM OF EXAM:
(SPRING OR SUMMER) Spring
LEARNING OUTCOME(S) BEING ASSESSED: Show a detailed knowledge of the usage of suitable analysis packages for specific problems and competence in the application of the packages studied to specific engineering problems.
Demonstrate subject specific skills and the ability to successfully validate and critically evaluate numerical results.
Show cognitive skills in the formulation and numerical solution of a specific engineering problem. EXAMINATION AUTHOR : Dr A Marotin
VERSION: DATE SUBMITTED
FOR VERIFICATION: INTERNAL VERIFIER COMMENTS (Approval or detail of amendments required): DATE:
1.
Assignment 1
24/10/2016 Assignment suitable for level of award. 28/10/2016
INTERNAL VERIFIER PLEASE TICK TO INDICATE THAT THE EXAMINATION:
Conforms to the assessment pattern described in the module syllabus
Tests the module learning outcome(s) appropriately
SIGNATURES OF FINAL APPROVAL: SIGNATURE DATE
INTERNAL VERIFIER: I confirm that this version of the exam paper is ready to be sent to the external examiner Dr A. Al-Hussany
28/10/2016
EXAM AUTHOR: I confirm that internal verifier and external examiner approval have been received and that this version of the exam paper is ready for printing.