2026-04-17T11:05:53Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4457522024-12-20T00:19:29Zcom_2072_199267com_2072_4427col_2072_201036

Non-local effects and size-dependent properties in Stefan problems with Newton cooling Calvo-Schwarzwälder, M. We model the growth of a one-dimensional solid by considering a modified Fourier law with a size-dependent effective thermal conductivity and a Newton cooling condition at the interface between the solid and the cold environment. In the limit of a large Biot number, this condition becomes the commonly used fixed-temperature condition. It is shown that in practice the size of this non-dimensional number is very small. We study the effect of a small Biot number on the solidification process with numerical and asymptotic solution methods. The study indicates that non-local effects become less important as the Biot number decreases. © 2019 Elsevier Inc. 2021-03-18T23:37:47Z 2024-09-19T14:29:44Z 2021-03-18T23:37:47Z 2024-09-19T14:29:44Z 2021-03-18T23:37:47Z 2024-09-19T14:29:44Z 2019-01-01 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://hdl.handle.net/2072/445752 10.1016/j.apm.2019.06.008 eng info:eu-repo/semantics/openAccess Elsevier Inc. RECERCAT (Dipòsit de la Recerca de Catalunya)