Computational Methods for Engineers
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MMJ 1113 COMPUTATIONAL METHODS FOR ENGINEERS FACULTY OF MECHANICAL ENGINEERING,UNIVERSITI TEKNOLOGI MALAYSIA Project 2 (Due 31.12.2014) Session I 2014-2015 Consider a steady state heat transfer in an L-shaped solid body whose cross-section is given in the figure below. The thermal conductivity of the body is = 15 . ⁄ . The right surface of the body is 5 cm and insulated, and the bottom surface is 10 cm and maintained at a uniform temperature of 100 o C. The top surface is 5 cm on both sides of the step and the entire top surface is subjected to convection to ambient air at = 25℃ with a convection coefficient of = 80 . ⁄ . The left surface is 2 cm and has a constant heat flux of 2 W/m 2 . Use finite difference formulation to determine the temperature distribution in the body. Use ∆ =∆ =1 as the mesh interval. Solve the problem using Matlab/Octave. Show the temperature distribution as isotherms on a Matlab plot. Also calculate and show the heat flux at each node on a Matlab plot. Hand in your report on a CD containing all the relevant files and plots. The steady state heat transfer equation can be treated as + =0 Deliverables Your report should include the description of the problem, how you set up the problem, assumptions, method of solution, the Matlab code that you used, the results, all relevant plots, discussion and potential weaknesses in your solution method. Hand in your work on a CD.
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Example of question in differentiationn and integration
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MMJ 1113 COMPUTATIONAL METHODS FOR ENGINEERSFACULTY OF MECHANICAL ENGINEERING, UNIVERSITI TEKNOLOGI MALAYSIA
Project 2 (Due 31.12.2014) Session I 2014-2015
Consider a steady state heat transfer in an L-shaped solid body whose cross-section is given in the figurebelow. The thermal conductivity of the body is = 15 . . The right surface of the body is 5 cm andinsulated, and the bottom surface is 10 cm and maintained at a uniform temperature of 100 oC. The topsurface is 5 cm on both sides of the step and the entire top surface is subjected to convection to ambientair at = 25 with a convection coefficient of = 80 . . The left surface is 2 cm and hasa constant heat flux of 2 W/m2. Use finite difference formulation to determine the temperature distributionin the body. Use = = 1 as the mesh interval. Solve the problem using Matlab/Octave. Show thetemperature distribution as isotherms on a Matlab plot. Also calculate and show the heat flux at each nodeon a Matlab plot. Hand in your report on a CD containing all the relevant files and plots.
The steady state heat transfer equation can be treated as
+ = 0Deliverables
Your report should include the description of the problem, how you set up the problem, assumptions,method of solution, the Matlab code that you used, the results, all relevant plots, discussion and potentialweaknesses in your solution method. Hand in your work on a CD.
