New analytic solutions of the one-dimensional heat equation for temperature and heat flow rate both prescribed at the same fixed boundary (with applications to the phase change problem)-Reference-Cited by-同舟云学术

New analytic solutions of the one-dimensional heat equation for temperature and heat flow rate both prescribed at the same fixed boundary (with applications to the phase change problem)

Published:1967 Issue:4 Volume:24 Page:315-322
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Langford David

Abstract

New solutions of the heat equation are exhibited for the case in which both the temperature and heat flow rate are prescribed at a single fixed boundary. The prescribed temperature and heat flow rate may be any arbitrary infinitely differentiable functions of time. The new solutions are applicable for one-dimensional (radial) heat flow in spheres, cylinders, and slabs.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1967-24-04/S0033-569X-1967-0211094-4/S0033-569X-1967-0211094-4.pdf

Reference10 articles.

1. David Langford, A closed form solution for the constant velocity solidification of spheres initially at the fusion temperature, Br. J. Applied Physics, 17(2), 286 (1966)

2. David Langford, Stefan’s melting problem, Doctoral Dissertation, Rensselaer Polytechnic Institute, Troy, N. Y., 1965

Cited by 55 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A review of regularization strategies and solution techniques for ill-posed inverse problems, with application to inverse heat transfer problems;Reviews in Mathematical Physics;2023-10-20

2. Quasi-Analytical Solutions and Methods;The Classical Stefan Problem;2018

3. Bibliography;The Classical Stefan Problem;2018

4. A method for transient thermal load estimation and its application to identification of aerodynamic heating on atmospheric reentry capsule;Aerospace Science and Technology;2016-04

5. Quench Pool Boiling with Temporary Crystalline Enhancers;Chemical Engineering & Technology;2014-01-08