Enhanced Explicit Scheme to Solve Transient Heat Conduction Problem
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Ganesh Hegde
Improvement in accuracy without sacrificing stability and convergence of the solution to unsteady diffusion heat transfer problems by computational method of enhanced explicit scheme (EES), has been achieved and demonstrated, through transient one dimensional and two dimensional heat conduction. The truncation error induced in the explicit scheme using finite difference technique is eliminated by optimization of partial derivatives in the Taylor series expansion, by application of interface theory developed by the authors. This theory, in its simple terms gives the optimum values to the decision vectors in a redundant linear equation. The time derivatives and the spatial partial derivatives in the transient heat conduction, take the values depending on the time step chosen and grid size assumed. The time correction factor and the space correction factor defined by step sizes govern the accuracy, stability and convergence of EES. The comparison of the results of EES with analytical results, show decreased error as compared to the result of explicit scheme. The paper has an objective of reducing error in the explicit scheme by elimination of truncation error introduced by neglecting the higher order terms in the expansion of the governing function. As the pilot examples of the exercise, the implementation is aimed at solving one-dimensional and two-dimensional problems of transient heat conduction and compared with the results cited in the referred literature.
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Articles in the same Issue
- Review
- A Generalized Kinetic Model for Hydrometallurgical Processes
- Advanced Modeling of Reactive Separation Units with Structured Packings
- Applications of Computational Fluid Dynamics (CFD) Tools for Gravity Concentrators in Coal Preparation
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- CFD Diagnosis of the Cyclotol Manufacturing Plant: Product Quality and Process Operation
- Performance Analysis of Three Controllers for the Polymerisation of Styrene in a Batch Reactor
- Enhanced Explicit Scheme to Solve Transient Heat Conduction Problem
- Analysis and Simulation of Cross-Flow Reactor for Ethylene Epoxidation
- Learning to Control pH Processes at Multiple Time Scales: Performance Assessment in a Laboratory Plant
- Estimating Output Variance in Closed Loop Systems
- CFD Simulations for Continuous Flow of Bubbles through Gas-Liquid Columns: Application of VOF Method
- Inference of Chemical Reaction Networks Using Hybrid S-system Models
- Optimization of the Variable Reflux Ratio in a Batch Distillation Column through a Heuristic Method
- Spatial and Temporal Resolution in Data-Driven Process Modeling of an Integrated Newsprint Mill
