scholarly journals ANALOG COMPUTATION OF TEMPERATURE DISTRIBUTION IN SOLIDS WITH ELECTRICAL HEAT-GENERATION AND TEMPERATURE-DEPENDENT PROPERTIES

1962 ◽  
Author(s):  
D.G. Harden ◽  
L.T. Bryant
Keyword(s):  
Temperature Distribution ◽  
Heat Generation ◽  
Analog Computation ◽  
Temperature Dependent ◽  
Temperature Dependent Properties

Investigation of Cooling Process of a High-Temperature Hollow Cylinder in Moving Induction Heat Treatment

2012 ◽  
Vol 4 (1) ◽  
Author(s):  
H. Shokouhmand ◽  
S. Ghaffari
Keyword(s):  
Heat Treatment ◽  
Temperature Distribution ◽  
Moving Boundary ◽  
Work Piece ◽  
Cooling Process ◽  
Temperature Dependent ◽  
Time Step ◽  
Heat Treated ◽  
Rate Of Cooling ◽  
Temperature Dependent Properties

The hardness of heat treated steel and probability of occurrence of quenching cracks depend on the cooling time and temperature distribution. Therefore, the investigation of cooling process is a crucial issue in heat treatment to evaluate the obtained structure of the work-piece. In the present work, a vertical hollow circular cylinder is heated up to a specific temperature by a moving coil at a given velocity along it, and the heated parts then quenched by a moving water–air spray. After passing the spray, the cylinder is cooled by natural convection with the surrounding air. An analysis of coupled magnetic problem and transient conjugated thermal problem between the solid and the surrounding air is performed using finite-element method to obtain temperature field in each time step. This procedure includes moving boundary conditions, effect of radiation with ambient, temperature-dependent properties, and change in magnetic permeability of specified alloy at the Curie temperature. The obtained results show how both spray and natural cooling affect the temperature distribution and rate of cooling of the cylinder. Furthermore, the effect of geometry and velocity of coil on the rate of cooling and chance of quenching cracks are investigated.

Heat Transfer of Thin Fins With Temperature-Dependent Thermal Properties and Internal Heat Generation

1967 ◽  
Vol 89 (2) ◽  
pp. 155-162 ◽  
Author(s):  
H. M. Hung ◽  
F. C. Appl
Keyword(s):  
Heat Transfer ◽  
Thermal Properties ◽  
Temperature Distribution ◽  
Heat Generation ◽  
Analytical Study ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Temperature Dependent ◽  
Numerical Examples

An analytical study of the temperature distribution along thin fins with temperature-dependent thermal properties and internal heat generation is presented. The analysis utilizes a recently published bounding procedure which yields analytical and continuous bounding functions for the temperature distribution. Several numerical examples are considered. Tabular and graphical results are given. The effects of variable thermal properties and internal heat generation are also shown.

scholarly journals A Study on Convective-Radial Fins with Temperature-dependent Thermal Conductivity and Internal Heat Generation

2019 ◽  
Vol 8 (1) ◽  
pp. 145-156
Author(s):  
Trushit Patel ◽  
Ramakanta Meher
Keyword(s):  
Thermal Conductivity ◽  
Temperature Distribution ◽  
Fractional Order ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Temperature Dependent ◽  
Transform Method ◽  
Adomian Decomposition ◽  
Temperature Dependent Thermal Conductivity

Abstract In this paper, the temperature distribution in a convective radial fins is analyzed through a fractional order energy balance equation with the consideration of internal heat generation and temperature dependent thermal conductivity. Adomian decomposition Sumudu transform method is used to study the influence of temperature distribution and the efficiency of radial fins for different values of thermal conductivity and to determine the role of thermal conductivity, thermo-geometric fin parameter as well as fractional order values in finding the temperature distribution and the fin efficiency of the convective radial fins. Finally, the efficiency of this proposed method has been studied by comparing the obtained results with the classical order results obtained by using numerical method and Variational Iteration Method (Coskun and Atay, 2007).

scholarly journals Investigation of Waves Generated in Transversely Isotropic Micropolar Generalized Thermoelastic Half Space Under Temperature Dependent Properties

2019 ◽  
Vol 24 (4) ◽  
pp. 53-65
Author(s):  
R.R. Gupta ◽  
R.R. Gupta
Keyword(s):  
Temperature Distribution ◽  
Quality Factor ◽  
Half Space ◽  
Elastic Properties ◽  
Transversely Isotropic ◽  
Temperature Dependent ◽  
Phase Velocities ◽  
Generalized Thermoelastic ◽  
Temperature Dependent Properties ◽  
Propagation Of Waves

Abstract The present study deals with the propagation of waves in a transversely isotropic micropolar generalized thermoelastic material possessing temperature dependent elastic properties. After developing the solution for LS, GL and CT theory, the phase velocities and attenuation quality factor have been obtained. The expressions for amplitudes of stresses, displacements, microratation and temperature distribution have been derived and computed numerically. The numerically evaluated results have been plotted graphically. Some particular cases of interest have also been obtained.

scholarly journals Temperature Distribution in Microwave Sintering of Alumina Cylinders

1994 ◽  
Vol 347 ◽  
Author(s):  
J. R. Thomas ◽  
Joel D. Katz ◽  
Rodger D. Blake
Keyword(s):  
Temperature Distribution ◽  
Sintering Temperature ◽  
Microwave Sintering ◽  
Heat Transfer Process ◽  
Microwave Energy ◽  
Heating Process ◽  
Temperature Dependent ◽  
Fiber Sensors ◽  
Temperature Dependent Properties ◽  
Multi Mode

ABSTRACTSmall cylinders of high-purity alumina were encased in a “casket” of low-density zir-conia insulation and heated to sintering temperature in a large multi-mode microwave oven. Optical fiber sensors were used to monitor the temperature at several locations in the system. It was found that the alumina samples heat faster than the zirconia insulation at temperatures above 1000°C, and that the temperature distribution in the sample is essentially uniform during the heating process.A two-dimensional mathematical model of the heat transfer process was developed which reproduces the essential features of the observed phenomena. Literature data for all temperature-dependent properties were incorporated into the model. The model suggests that the alumina samples absorb a significant fraction of the microwave energy.

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