scholarly journals Short Communications Temperature Profiles in Some Heat Conduction Problems with Spherical Symmetry

1970 ◽  
Vol 23 (5) ◽  
pp. 935 ◽  
Author(s):  
A Brown ◽  
GL Downes
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Spherical Symmetry ◽  
Surrounding Medium ◽  
Temperature Profiles ◽  
Composite Systems ◽  
Two Bodies

Temperature profiles are known for several composite systems involving a sphere losing heat into an infinite surrounding medium. Lovering (1935, 1936) considered the diffusion of heat from a sphere into a cooler medium with the same thermal properties, i.e. the same conductivity K and diffusivity k. The initial temperatures of the two bodies were assumed constant.

scholarly journals Corrigenda

1965 ◽  
Vol 18 (1) ◽  
pp. 99
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Surrounding Medium ◽  
Transient Heat Conduction

Transient heat conduction between a sphere and a surrounding medium of different thermal properties

Transient Heat Conduction Between a Sphere and a Surrounding Medium of Different Thermal Properties

1964 ◽  
Vol 17 (3) ◽  
pp. 420 ◽  
Author(s):  
JR Philip
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Initial Temperature ◽  
Surrounding Medium ◽  
Transient Heat Conduction ◽  
Infinite Medium ◽  
Ice Crystals ◽  
Evaporation Of Droplets

The paper treats the redistribution of heat between a sphere and an infinite medium of different thermal properties and different initial temperature. The problem is relevant to two geophysical questions: the cooling of laccoliths, and the psychrometry of the growth and evaporation of droplets and ice crystals.

scholarly journals Corrigenda

1965 ◽  
Vol 18 (4) ◽  
pp. 393
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Surrounding Medium ◽  
Transient Heat Conduction

Transient heat conduction between a sphere and a surrounding medium of different thermal properties. By J. R. Philip. pp. 423-30

A NONLINEAR INVERSE HEAT CONDUCTION TECHNIQUE TO ESTIMATE THERMAL PROPERTIES OF METALS

2020 ◽  
Author(s):  
Mariana de Melo Antunes ◽  
Rodrigo Gustavo Dourado da Silva ◽  
Nícolas Pinheiro Ramos ◽  
Sandro Metrevelle Marcondes de Lima e Silva
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Inverse Heat Conduction

scholarly journals Thermal impedance at the interface of contacting bodies: 1-D examples solved by semi-derivatives

2012 ◽  
Vol 16 (2) ◽  
pp. 623-627 ◽  
Author(s):  
Jordan Hristov
Keyword(s):  
Heat Conduction ◽  
Fractional Calculus ◽  
Half Time ◽  
Thermal Impedance ◽  
Entire Domain ◽  
Transient Thermal ◽  
Two Bodies

Simple 1-D semi-infinite heat conduction problems enable to demonstrate the potential of the fractional calculus in determination of transient thermal impedances of two bodies with different initial temperatures contacting at the interface ( x = 0 ) at t = 0 . The approach is purely analytic and uses only semi-derivatives (half-time) and semi-integrals in the Riemann-Liouville sense. The example solved clearly reveals that the fractional calculus is more effective in calculation the thermal resistances than the entire domain solutions.

Fractional lumped capacitance

2018 ◽  
Vol 21 (4) ◽  
pp. 1104-1119 ◽  
Author(s):  
Andrew W. Wharmby
Keyword(s):  
Heat Conduction ◽  
Fractional Order ◽  
Transient Heat Conduction ◽  
Temperature Profiles ◽  
Cooling Temperature ◽  
Heating And Cooling ◽  
Capacitance Model

Abstract A new lumped capacitance model that employs fractional order operators is proposed for use on transient heat conduction problems. Details and implications of the fractional lumped capacitance model’s development and application are discussed. The model is shown to agree with observed heating and cooling temperature profiles of laser aiming paper being heated by a laser under various conditions.

Study on Radial Temperature Distribution of Aluminum Dispersed Nuclear Fuels: U3O8-Al, U3Si2-Al, and UN-Al

2018 ◽  
Vol 4 (3) ◽  
Author(s):  
Jayangani I. Ranasinghe ◽  
Ericmoore Jossou ◽  
Linu Malakkal ◽  
Barbara Szpunar ◽  
Jerzy A. Szpunar
Keyword(s):  
Thermal Conductivity ◽  
Heat Conduction ◽  
Steady State ◽  
Temperature Gradient ◽  
Heat Conduction Equation ◽  
Conduction Equation ◽  
Temperature Profiles ◽  
Nuclear Fuels ◽  
State Heat ◽  
Steady State Heat

The understanding of the radial distribution of temperature in a fuel pellet, under normal operation and accident conditions, is important for a safe operation of a nuclear reactor. Therefore, in this study, we have solved the steady-state heat conduction equation, to analyze the temperature profiles of a 12 mm diameter cylindrical dispersed nuclear fuels of U3O8-Al, U3Si2-Al, and UN-Al operating at 597 °C. Moreover, we have also derived the thermal conductivity correlations as a function of temperature for U3Si2, uranium mononitride (UN), and Al. To evaluate the thermal conductivity correlations of U3Si2, UN, and Al, we have used density functional theory (DFT) as incorporated in the Quantum ESPRESSO (QE) along with other codes such as Phonopy, ShengBTE, EPW (electron-phonon coupling adopting Wannier functions), and BoltzTraP (Boltzmann transport properties). However, for U3O8, we utilized the thermal conductivity correlation proposed by Pillai et al. Furthermore, the effective thermal conductivity of dispersed fuels with 5, 10, 15, 30, and 50 vol %, respectively of dispersed fuel particle densities over the temperature range of 27–627 °C was evaluated by Bruggman model. Additionally, the temperature profiles and temperature gradient profiles of the dispersed fuels were evaluated by solving the steady-state heat conduction equation by using Maple code. This study not only predicts a reduction in the centerline temperature and temperature gradient in dispersed fuels but also reveals the maximum concentration of fissile material (U3O8, U3Si2, and UN) that can be incorporated in the Al matrix without the centerline melting. Furthermore, these predictions enable the experimental scientists in selecting an appropriate dispersion fuel with a lower risk of fuel melting and fuel cracking.

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