Approximate solution methods for one-dimensional solidification from an incoming fluid

DOI10.1016/j.amc.2008.02.031zbMath1208.76142OpenAlexW2141666973MaRDI QIDQ941510

B. E. Eshmatov

Publication date: 1 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.02.031

zbMATH Keywords

Stefan problemthin filmheat balance integral methodboundary immobilisation

Mathematics Subject Classification ID

Related Items (10)

An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue ⋮ Unsteady contact melting of a rectangular cross-section material on a flat plate ⋮ An integral equation method for spherical Stefan problems ⋮ Water film falling down an ice sheet ⋮ Ice formation within a thin film flowing over a flat plate ⋮ An accurate numerical solution for the transient heating of an evaporating spherical droplet ⋮ A meshless method for one-dimensional Stefan problems ⋮ Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions ⋮ Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change ⋮ Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems

Cites Work

• Unnamed Item
• Unnamed Item
• One-dimensional ice growth due to incoming supercooled droplets impacting on a thin conducting substrate
• Perturbation solutions of planar diffusion-controlled moving-boundary problems
• The numerical solution of one-phase classical Stefan problem
• Solidification of aluminium spray-formed billets. Heat flow in the bulk deposit
• On the perturbation method for the Stefan problem with time-dependent boundary conditions
• Ice and water film growth from incoming supercooled droplets
• A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
• A mathematical model for atmospheric ice accretion and water flow on a cold surface
• Aircraft icing
• TWO METHODS FOR THE NUMERICAL SOLUTION OF MOVING-BOUNDARY PROBLEMS IN DIFFUSION AND HEAT FLOW
• Slowly accreting ice due to supercooled water impacting on a cold surface
• The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface

This page was built for publication: Approximate solution methods for one-dimensional solidification from an incoming fluid