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Nonprobabilistic Analysis of Thermal and Chemical Diffusion Problems with Uncertain Bounded Parameters

Publication Type : Book Chapter

Publisher : John Wiley & Sons, Inc.

Source : Mathematical Methods in Interdisciplinary Sciences, John Wiley & Sons, Inc., Hoboken, New Jersey, USA., p.99-113 (2020)

Url : https://onlinelibrary.wiley.com/doi/abs/10.1002/9781119585640.ch6

ISBN : 9781119585640

Keywords : chemical diffusion problem, explicit finite difference method, Finite element method, radon diffusion mechanism, thermal diffusion problem, triangular fuzzy number parameters, uncertain bounded parameters

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2020

Abstract : Summary Diffusion plays a major role in the field of thermal and chemical engineering. It may arise in a wide range of problems, viz., heat transfer, fluid flow, and chemical diffusion. This chapter includes interval and/or fuzzy uncertainties along with well-known numerical methods, namely, finite element method and explicit finite difference method to investigate heat and gas diffusion problems. It discusses the interval and/or fuzzy finite element formulation for tapered fin and finite difference formulation for radon diffusion mechanism in uncertain environment. The chapter investigates numerical modeling of a chemical diffusion problem and a thermal diffusion problem, viz., radon diffusion mechanism with uncertain bounded parameters and triangular fuzzy number parameters.

Cite this Research Publication : Sukanta Nayak, Tharasi Dilleswar Rao, and Snehashish Chakraverty, “Nonprobabilistic Analysis of Thermal and Chemical Diffusion Problems with Uncertain Bounded Parameters”, in Mathematical Methods in Interdisciplinary Sciences, John Wiley & Sons, Inc., Hoboken, New Jersey, USA., 2020, pp. 99-113.

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