Temperature Fields Generated by a Circular Heat Source: Solution of a Composite Solid of Two Different Isotropic Semi-Infinite Media

2019 ◽  
Vol 141 (12) ◽  
Author(s):  
Michael Emanuel ◽  
Avi Emanuel
Keyword(s):  
Heat Source ◽  
Thermal Contact ◽  
Three Dimensional ◽  
Integral Form ◽  
Heat Fluxes ◽  
Inverse Laplace Transform ◽  
Temperature Fields ◽  
Circular Heat ◽  
Composite Solid ◽  
Infinite Media

Abstract The problem of a three-dimensional (3D) heat flow from a circular heat source (CHS) embedded inside a composite solid of two isotropic but different semi-infinite media is solved for the first time in this paper. This CHS asymmetrical measurement setup is useful when two identical samples are not available for measurement. Two different time-dependent temperature fields are derived for the composite semi-infinite media, as well as their corresponding heat fluxes. The derivation of the 3D solution uses first principles with basic assumptions and employs the Hankel and Laplace transforms. The Laplace inversion theorem is used to find the inverse Laplace transform of the temperature functions, since no tabulated inverse transform functions are available for this case. The solution is exact with no approximations and is given in an integral form, which can easily be evaluated numerically. This solution is a generic one and can be applied to more complex asymmetrical setups, such as the case involving thermal contact resistances.

scholarly journals Calculation of temperature and velocity fields in the furnace chambers of tube ovens

2019 ◽  
Vol 124 ◽  
pp. 01019 ◽  
Author(s):  
A. V. Sadykov ◽  
D. B. Vafin
Keyword(s):  
Three Dimensional ◽  
Heating Surface ◽  
Methane Combustion ◽  
Combustion Products ◽  
Heat Fluxes ◽  
Flue Gases ◽  
Temperature Fields ◽  
Combustion Model ◽  
Band Model ◽  
Temperature And Velocity Fields

This paper presents the results of calculations of velocity and temperature fields in the radiation chamber of an energy-intensive technological tubular oven during the combustion of methane in air using acoustic burners of floor flame. The calculation method is based on the joint numerical solution of difference analogs of three-dimensional equations of energy transfer by radiation, convection and turbulent thermal conductivity, the movement of flue gases and the methane combustion model in the air. The radiation selectivity of flue gases is taken into account using a six-band model. The paper contains a diagram showing the organization of a three-dimensional modelling of acoustic burners. It also represents the isotherms of combustion products, the lines of the velocity vectors in the radiation chamber, distributions of surface densities of heat fluxes to the heating surface.

Study on Welding Deformations of Shipboard of Container Vessel

2011 ◽  
Vol 488-489 ◽  
pp. 218-221
Author(s):  
Hong Li ◽  
Da Lu Qiu ◽  
Guang Lei Li ◽  
Hui Long Ren
Keyword(s):  
Heat Flux ◽  
Heat Source ◽  
Three Dimensional ◽  
Temperature Fields ◽  
Transient Temperature ◽  
Plastic Strains ◽  
Out Of Plane ◽  
Inherent Strain ◽  
Nonlinear Behaviors ◽  
Plane Deformations

Residual plastic strains of the shipboard are the product of nonlinear behaviors during welding. Deformations of a welded shipboard injure the beauty of appearance of the ship, cause errors during the assembly of the shipboard and reduce the strength of the ship. Residual welding deformations of shipboard of a container vessel are studied in this paper. Nonlinear three dimensional transient temperature fields are analyzed by FEM first. The heat source is modeled as a moving heat flux following a Gaussian distribution. Then, applying the equivalent loads induced by the inherent strain on the shipboard, the final in-plane shrinkage and out-of-plane deformations are calculated. Being compared with the experimental results of deformations, the simulated results show mostly conformity.

Study on the Thermal Contact Zone in the Surface Grinding

2011 ◽  
Vol 188 ◽  
pp. 523-528
Author(s):  
Chong Lue Hua ◽  
Gui Cheng Wang ◽  
Hong Jie Pei ◽  
Gang Liu
Keyword(s):  
Heat Flux ◽  
Temperature Field ◽  
Thermal Contact ◽  
Heat Fluxes ◽  
Grinding Temperature ◽  
The Finite Element Method ◽  
Temperature Dependent ◽  
Convection Model ◽  
Temperature Dependent Properties ◽  
Circular Heat

The present study aims to investigate the temperature field by using the different heat fluxes, such as rectangle heat flux, triangular heat flux, inclined triangular heat flux, circular heat flux. To obtain a reliable figure of temperature field induced by grinding, temperature-dependent properties of work materials were taken into account and a convection model with an effective cooling factor was introduced. A thorough analysis using the finite element method showed that predictions were very agreed with the results of the experiment. Finally, the present paper showed that the contact angle must be taken into account in future models.

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