Technical report: a study of heat distribution for optimal design shape of brownie's pan / Nor Shamsiah Hassan Bakri, Puteri Intan Asyura Zulkifly and Nur Ain Amirah Azman

Hassan Bakri, Nor Shamsiah and Zulkifly, Puteri Intan Asyura and Azman, Nur Ain Amirah (2017) Technical report: a study of heat distribution for optimal design shape of brownie's pan / Nor Shamsiah Hassan Bakri, Puteri Intan Asyura Zulkifly and Nur Ain Amirah Azman. [Student Project] (Unpublished)

Abstract

In this research, the heat distribution on optimal pan at the outer edges are examined. The model of heat distribution is derived from heat flux equation and energy flow balance equation by using Fourier's Law. Laplace Transform method is used to develop the model. The mathematical model of heat distribution for the optimal shape is solved in two-dimension and computerized by using MATLAB. Gauss-Seidel Iteration method is applied to approximate the temperature distribution of each nodes on the pan. It's shown from the graph and the calculation that the boundary temperature for the optimal shape is distributed evenly. Thus, the brownie does not overcooked at four comers.

Metadata

Item Type:	Student Project
Creators:	Creators Email / ID Num. Hassan Bakri, Nor Shamsiah 2014806014 Zulkifly, Puteri Intan Asyura 2014815822 Azman, Nur Ain Amirah 2014849448
Contributors:	Contribution Name Email / ID Num. Advisor Mohamad Rasat, Nurul Alana UNSPECIFIED Advisor Md. Yasin, Roliza UNSPECIFIED
Subjects:	Q Science > QA Mathematics > Study and teaching Q Science > QA Mathematics > Equations Q Science > QA Mathematics > Analysis
Divisions:	Universiti Teknologi MARA, Kelantan > Machang Campus > Faculty of Computer and Mathematical Sciences
Programme:	Mathematics Project (MAT660)
Keywords:	Fourier's Law, MATLAB, optimal shape, pan
Date:	2017
URI:	https://ir.uitm.edu.my/id/eprint/109742