Transient temperature distribution in insulated pavements—predictions vs. observations

1970 ◽  
Vol 7 (3) ◽  
pp. 275-284 ◽  
Author(s):  
D. M. Ho ◽  
M. E. Harr ◽  
G. A. Leonards

Based on a finite difference technique, computer programs have been developed whereby temperature variations in layered systems as a function of position and time may be computed under conditions of both one- and two-dimensional heat flow by conduction. No limitations are imposed on the number of layers, or on the form of the initial and boundary temperature conditions. Variations in thermal properties of the materials with temperature and location, and the non-linear relation between amount of water frozen as a function of temperature, are directly taken into account. Comparison of predictions with actual measurements demonstrate that accurate forecasts of temperature distributions as a function of time can be made when prevailing ambient conditions are known. Even if the site conditions can be evaluated only approximately sufficiently reliable predictions can be made for design purposes.

1965 ◽  
Vol 87 (1) ◽  
pp. 117-130 ◽  
Author(s):  
R. D. Zerkle ◽  
J. Edward Sunderland

The transient, one-dimensional temperature distribution is determined for a slab, insulated on one face, and subjected to thermal radiation at the other face. The slab is initially at a uniform temperature and is assumed to be homogeneous, isotropic, and opaque; the physical properties are assumed to be independent of temperature. Transient temperature distributions for both heating and cooling situations are obtained by means of a thermal-electrical analog computer. A diode limiter circuit is used to simulate the nonlinear radiant heat flux. The transient temperature distributions are presented in a dimensionless, graphical form for a wide range of variables. Approximate analytical solutions are also given which complement and extend the solution charts over ranges of parameters not covered in the charts.


1974 ◽  
Vol 96 (3) ◽  
pp. 300-306 ◽  
Author(s):  
J. A. Copley ◽  
W. C. Thomas

The two-dimensional conduction equation is solved for a hollow cylinder subjected to a series of heat flux pulses on the inner boundary. The periodic heat flux is represented by an exponentially decreasing pulse with a spatial distribution of peak magnitude. The analytical techniques and representation of the boundary conditions apply to different situations involving pulsating boundary conditions. An application to the gun barrel heating problem is given. Calculated bore surface and internal temperature histories are in good agreement with experimental data. During the actual firing time in rapidly-firing guns, results show that external cooling is generally ineffective for controlling barrel bore surface temperature.


1990 ◽  
Vol 112 (4) ◽  
pp. 352-360 ◽  
Author(s):  
S. Chandrasekar ◽  
S. Wang ◽  
H. T. Y. Yang

An efficient finite element procedure is developed for the temperature and stress analyses of two-dimensional isothermal phase transformation problems such as solidification, melting, and solid-to-solid transformations, etc. This procedure uses adaptive remeshing along the element boundaries to track the discontinuities in the temperature gradient, the enthalpy, and the material properties, which exists across the phase transformation interface. The thermal stresses and the transient temperature distribution developed during solidification are calculated using this for several example problems. They are compared with the numerical and analytical solutions obtained for these problems by earlier investigators in order to demonstrate the efficiency and accuracy of this method, for the analysis of solidification problems, as well as its limitations.


1975 ◽  
Vol 97 (3) ◽  
pp. 406-410 ◽  
Author(s):  
D. M. Burch ◽  
B. A. Peavy

This paper investigates the transient temperature distribution in transpiration-cooled porous matrices, after sudden initiation of uniform internal heat generation. Analytic solutions are derived for the tube and plate geometries that include the effect of forced convection heat transfer at the gas-exit surface where the conventional heat-transfer coefficient is used to define the boundary condition.


Author(s):  
S. A. Abbas ◽  
N. J. Cubitt ◽  
C. J. Hooke

In this paper the temperature distributions over the region of a brake disc joining the rubbing path and the mounting flange are calculated. The two separate cases of braking, that of the transient temperature distribution produced by a single brake application and that of the steady-state conditions existing after a long period of steady braking downhill or repeated brake applications, are treated. A numerical method is employed for solution, involving setting up equations expressing the heat balance at every region in the disc, and solving these with the aid of a digital computer. Temperatures calculated by this method for a particular brake disc are compared with experimentally determined temperatures and show good correlation.


2001 ◽  
Vol 6 (2) ◽  
pp. 3-14 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
I. Juodeikienė ◽  
A. Kajalavičius

A model of moisture movement in wood is presented in this paper in a two-dimensional-in-space formulation. The finite-difference technique has been used in order to obtain the solution of the problem. The model was applied to predict the moisture content in sawn boards from pine during long term storage under outdoor climatic conditions. The satisfactory agreement between the numerical solution and experimental data was obtained.


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