Numerical solution of the heat equation
Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia, USA.
Review
World Journal of Advanced Engineering Technology and Sciences, 2024, 12(02), 468–478.
Article DOI: 10.30574/wjaets.2024.12.2.322
Publication history:
Received on 15 June 2024; revised on 27 July 2024; accepted on 30 July 2024
Abstract:
Numerical solution of the heat equation using finite difference approximation was developed to determine the temperature distribution profile for cooling of a rectangular steel bar.
Temperature distribution plots were made at characteristic time steps describing the heat distribution along the steel bar and ultimately depicting the time it takes for the steel bar to achieve isothermal equilibrium with the cooling medium.
Keywords:
Finite Difference; Time Step; Diffusion Number; Stability; Node
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