Free and Moving Boundary Problems of Heat and Mass Transfer

Devi, Preeti; Naidu, V.G.; Mamatha, K; Bopparathi, Naresh

doi:10.14419/ijet.v7i3.27.17644

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P Kanakadurga Devi V G Naidu1

Introduction1

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2019

2022

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Cited by 2 publications

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“…We know that by Green's Theorem We thus have one relation involving two unknowns and as (11) To derive another equation involving and , we have from Stefan's condition at (2,2) gives (12) At (1,2), from (7)…”

Section: P Kanakadurga Devi V G Naidumentioning

confidence: 99%

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One Phase Moving Boundary Problem

Devi,

Naidu

2019

IJEAT

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In this paper we introduced a variable time step method to obtain interface to moving boundary problem for Slab and Sphere. We present the basic difficulty, apart from the need to find the moving boundary, that there is no domain for the space variable. This difficulty is handled by the age old principles of basic mathematics. Naturally, giving symbolic names to the unknowns develop equations involving them and solve it using the conditions of the problem. High order accurate initial time step sizes for given space step size are obtained with the help of Green’s theorem. The Subsequent time steps are obtained by an iterative scheme. This variable time step method handles Dirichlet’s problem of freezing or melting of a Slab and spherical droplet.

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Section: P Kanakadurga Devi V G Naidumentioning

confidence: 99%

“…Gupta and Kumar [3] and Marshall [6] have subsequently improved the iterative procedure of [2] for finding the time step. Kutluay [5] obtained numerical solution of a specific problem with variable space grid; even these front tracking methods have made certain transformations of the original problem [11][12].…”

Section: Introductionmentioning

confidence: 99%