A Stefan problem with temperature and time dependent thermal conductivity

Ajay, Kumar; Singh, Abhishek Kumar; Rajeev

dc.contributor.author	Ajay, Kumar
dc.contributor.author	Singh, Abhishek Kumar
dc.contributor.author	Rajeev
dc.date.accessioned	2020-02-03T09:39:22Z
dc.date.available	2020-02-03T09:39:22Z
dc.date.issued	2020-01
dc.identifier.issn	10183647
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/602
dc.description.abstract	In this paper, a one phase Stefan problem with time and temperature dependent thermal conductivity is investigated. With the help of similarity transformation and tau method based on shifted Chebyshev operational matrix of differentiation, an approximate solution of the problem is discussed. For a particular case, an exact solution of the proposed problem is also discussed and it is used to check the accuracy of the obtained approximate results. The effect of some parameters involved in the model on temperature distribution and movement of phase front is also analysed.	en_US
dc.language.iso	en_US	en_US
dc.publisher	Elsevier B.V	en_US
dc.subject	Stefan problem	en_US
dc.subject	Similarity transformation	en_US
dc.subject	Shifted Chebyshev polynomials	en_US
dc.subject	Hypergeometric function	en_US
dc.subject	Hermite function	en_US
dc.title	A Stefan problem with temperature and time dependent thermal conductivity	en_US
dc.type	Article	en_US