Magnetic Field Assisted Finishing of Ceramics—Part I: Thermal Model

1998 ◽  
Vol 120 (4) ◽  
pp. 645-651 ◽  
Author(s):  
Zhen-Bing Hou ◽  
R. Komanduri
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Thermal Model ◽  
Circular Ring ◽  
Heat Sources ◽  
Point Heat Source ◽  
Abrasive Finishing ◽  
Instantaneous Point ◽  
Magnetic Float ◽  
Transient And Steady State

A thermal model for magnetic field assisted polishing of ceramic balls/rollers is presented. The heat source at the area of contact between the balls and the abrasives where material removal takes place is approximated to a disk. The disk heat source is considered as a combination of a series of concentric circular ring heat sources with different radii. Each ring in turn is considered as a combination of a series of infinitely small arc segments and each arc segment as a point heat source. Jaeger’s classical moving heat source theory (Jaeger, 1942; Carslaw and Jaeger, 1959) is used in the development of the model, starting from an instantaneous point heat source, to obtain the general solution (transient and steady-state) of the moving circular ring heat source problem and finally the moving disc heat source problem. Due to the formation of fine scratches during polishing (on the order of a few micrometers long), the conditions are found to be largely transient in nature. Calculation of the minimum flash temperatures and minimum flash times during polishing enables the determination if adequate temperatures can be generated for chemo-mechanical polishing or not. This model is applied in Part II for magnetic float polishing (MFP) of ceramic balls and in Part III for magnetic abrasive finishing (MAF) of ceramic rollers.

Analytical Formulation for the Temperature Profile by Duhamel’s Theorem in Bodies Subjected to an Oscillatory Heat Source

2005 ◽  
Vol 129 (2) ◽  
pp. 236-240 ◽  
Author(s):  
Jun Wen ◽  
M. M. Khonsari
Keyword(s):  
Finite Element Method ◽  
Heat Flux ◽  
Heat Source ◽  
Temperature Profile ◽  
Rectangular Domain ◽  
Temperature Fields ◽  
Heat Sources ◽  
Point Heat Source ◽  
Analytical Formulation ◽  
Analytical Technique

An analytical technique is presented for treating heat conduction problems involving a body experiencing oscillating heat flux on its boundary. The boundary heat flux is treated as a combination of many point heat sources, each of which emits heat intermittently based on the motion of the flux. The working function of the intermittent heat source with respect to time is evaluated by using the Fourier series and temperature profile of each point heat source is derived by using the Duhamel’s theorem. Finally, by superposition of the temperature fields over all the point heat sources, the temperature profile due to the original moving heat flux is determined. Prediction results and verification using finite element method are presented for an oscillatory heat flux in a rectangular domain.

Transient Thermal Stresses on a Finite Disk Due to a Continuous Point Heat Source

1970 ◽  
Vol 92 (2) ◽  
pp. 357-365 ◽  
Author(s):  
T. R. Hsu
Keyword(s):  
Heat Source ◽  
Thermal Stresses ◽  
Circular Disk ◽  
Transient Temperature ◽  
Point Heat Source ◽  
Finite Radius ◽  
Transient Temperature Distribution ◽  
Instantaneous Point ◽  
Continuous Point ◽  
Transient Thermal

This paper contains exact solutions for the transient temperature distribution and the associated quasi-static thermal stresses and deformations which arise in a thin circular disk of finite radius subjected to a continuous point heat source acting on its periphery. It has been proven in this paper that the solutions of this type of problem may be obtained by integrating the time variable of the corresponding solutions in the case of an instantaneous point heat source. The solutions are given in the form of double infinite series and graphical representations of the solutions in dimensionless terms are included. Reference is made to methods of applying the solutions to shapes other than disks. The solutions are pertinent to problems which occur in welding engineering and modern nuclear technology.

Applying Surface Fitting in the Medical Thermal Texture Maps

2012 ◽  
Vol 263-266 ◽  
pp. 2448-2453
Author(s):  
Fu Li Ye ◽  
Gui Lian Shi
Keyword(s):  
Early Detection ◽  
Heat Source ◽  
Curve Fitting ◽  
Early Detection Of Cancer ◽  
Single Point ◽  
Surface Fitting ◽  
Heat Sources ◽  
Point Heat Source ◽  
Fitting Method ◽  
Fitting In

This paper studies the application of surface fitting technology in medical tomography. In clinical research, in the result of early detection of cancer increasingly critical, the accuracy and efficiency become the most important issues in medical tomography. However, recent research on medical tomography only use curve fitting technology and only can fit single point heat source, which cause the analyzed result not accurate enough and complex the process of medical tomography. To improve the problem, surface fitting technology is applied in medical tomography, and then information of multiple heat sources can be directly fitted out. The experiments have confirmed: using Custom Equation fitting method in the Curve Fitting Toolbox of MATLAB can accurately fit out heats as well as locations of multiple heat sources (information of diseases area). The result improves the accuracy and efficiency of the Tomography and provides the base for the design.

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