Open AccessNumerical Modelling on the Influence of Source in the Heat Transformation: An Application in the Metal Heating for Blacksmithing
Author(s) -
H. P. Kandel,
Jeevan Kafle,
L. P. Bagale
Publication year - 2021
Publication title -
journal of nepal physical society/journal of nepali physical society
Language(s) - English
Resource type - Journals
eISSN - 2738-9537
pISSN - 2392-473X
DOI - 10.3126/jnphyssoc.v7i2.38629
Subject(s) - discretization , partial differential equation , finite difference method , numerical analysis , heat equation , finite difference , position (finance) , heat transfer , mathematics , domain (mathematical analysis) , field (mathematics) , transformation (genetics) , mathematical analysis , mechanics , physics , chemistry , finance , pure mathematics , economics , biochemistry , gene
Many physical problems, such as heat transfer and wave transfer, are modeled in the real world using partial differential equations (PDEs). When the domain of such modeled problems is irregular in shape, computing analytic solution becomes difficult, if not impossible. In such a case, numerical methods can be used to compute the solution of such PDEs. The Finite difference method (FDM) is one of the numerical methods used to compute the solutions of PDEs by discretizing the domain into a finite number of regions. We used FDMs to compute the numerical solutions of the one dimensional heat equation with different position initial conditions and multiple initial conditions. Blacksmiths fashioned different metals into the desired shape by heating the objects with different temperatures and at different position. The numerical technique applied here can be used to solve heat equations observed in the field of science and engineering.