Project Title EAS230 Engineering Computations Spring 2019 Group

Project Title
EAS230 Engineering Computations
Spring 2019
Group Name
PARTNER #1 Full Name, Lab Section, and UBitName
PARTNER #2 Full Name, Lab Section, and UBitName
Part Description of the breakdown of tasks
Script file Member #1 wrote up most of this part, Member #2 contributed in this
way
Explicit solver
Implicit solver
Please list other groups/individual that you may have worked with:
Group name #1, individual #1, etc.

EAS230 Spring 2019 Programming Project
GroupName: insert GroupName here
Table of Contents
Add your table of contents including each section number, title, and corresponding page
number
List of Tables and Figures
Add your list of tables and figures including each table number, title, and corresponding
page number and each figure number, title, and corresponding page number
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EAS 230 – Spring 2019 – PP

EAS230 Spring 2019 Programming Project
GroupName: insert GroupName here
1. Summary/Abstract
The finite difference methods are methods used to obtains approximate solutions for
temperature distributions across the plate and over time, T ( y ,u), at finite sets of x and t.
Different computer software has been used to determine and plotting the temperature
distributions across bodies such as MATLAB, python, etc.
In this project, MATLAB software is used to write programs that estimates the
temperature distribution across a large plate of uranium over time. Uranium plate generate
heat uniformly at a constant rate, the temperature distribution is approximated after
application of stated boundary conditions using finite difference numerical methods.
Page 3 of 15
EAS 230 – Spring 2019 – PP

EAS230 Spring 2019 Programming Project
GroupName: insert GroupName here
2. Introduction
Problem statement
A uranium large plate which generate heat uniformly at a constant rate of ̇g W
m3 . Suppose
the plate made of uranium with a thicknessL=0.2m, thermal conductivity k =28 W
m °C ,
and has thermal diffusivity, α =12.5 ×10−6 m2
s . It is assumed that the plate is initially at a
uniform temperature,T∫¿¿ at time t=0, each side of the plate is subjected to a boundary
condition that affects the change in temperature through the plate over time. It is also
assumed that the boundary conditions are constantly applied over time.
Given the specific set of boundary conditions, the solution for how the temperature
changes over time through the plate is estimated by MATLAB program using two methods:
i) Explicit Finite Difference Method
ii) Implicit Finite Difference Method
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EAS 230 – Spring 2019 – PP