Library Subscription: Guest

ISSN Online: 2377-424X

ISBN Print: 0-89116-559-2

International Heat Transfer Conference 8
August, 17-22, 1986, San Francisco, USA

THE EVALUATION OF SIMPLE ANALYTICAL SOLUTIONS FOR THE PREDICTION OF FREEZE-UP TIME, FREEZING, AND MELTING

Get access (open in a dialog) DOI: 10.1615/IHTC8.880
pages 1727-1732

Abstract

It is of significant interest to determine how well analytical solutions of simplified, linear problems represent the natural phenomena which occur in more realistic and complex situations. This paper presents the comparison of a number of simple analytical solutions to the results of a two-dimensional numerical model which was run extensively and verified by field experiments.
A two-dimensional, transient, finite difference numerical model, developed by the authors, was used in the comparison. This model was developed to study transient behavior of near-shore ice in water and lake-bottom soil, as a function of shore-bottom slope and of the environmental conditions and resulting heat fluxes. The results of the numerical model compared well with experimental data taken as a part of the International Field Year on the Great Lakes (Lake Ontario).
The analytical models, which are evaluated herein, include three types; freeze-up time in the water, freezing rates and melting rates. Several different types of boundary conditions were considered for the analytical models; including constant surface heat flux, constant ambient air temperature, and linear air temperature variation. A total of seven different analytical model/(boundary condition) combinations were considered in the evaluation. Several of the simplified analytical solutions have been shown to represent the more complex cases very well, sometimes to an accuracy of 0.02%. The usefulness and limitations of such approximations are discussed.