Efficient temperature field evaluation in wet surface grinding for arbitrary heat flux profile

2019 ◽  
Vol 116 (1) ◽  
pp. 101-122 ◽  
Author(s):  
J. L. González-Santander ◽  
Llúcia Monreal
Keyword(s):  
Heat Flux ◽  
Temperature Field ◽  
Field Evaluation ◽  
Surface Grinding ◽  
Flux Profile ◽  
Wet Surface

scholarly journals Maximum Temperature and Relaxation Time in Wet Surface Grinding for a General Heat Flux Profile

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
J. L. González-Santander
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Relaxation Time ◽  
Surface Grinding ◽  
Maximum Temperature ◽  
Fast Method ◽  
Workpiece Surface ◽  
Friction Zone ◽  
Flux Profile ◽  
Wet Surface

We solve the boundary-value problem of the heat transfer modeling in wet surface grinding, considering a constant heat transfer coefficient over the workpiece surface and a general heat flux profile within the friction zone between wheel and workpiece. We particularize this general solution to the most common heat flux profiles reported in the literature, that is, constant, linear, parabolic, and triangular. For these cases, we propose a fast method for the numerical computation of maximum temperature, in order to avoid the thermal damage of the workpiece. Also, we provide a very efficient method for the numerical evaluation of the transient regime duration (relaxation time).

scholarly journals Efficient Series Expansions of the Temperature Field in Dry Surface Grinding for Usual Heat Flux Profiles

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Juan Luis González-Santander
Keyword(s):  
Heat Flux ◽  
Temperature Field ◽  
Numerical Evaluation ◽  
Numerical Procedure ◽  
Constant Heat Flux ◽  
Surface Grinding ◽  
Maximum Temperature ◽  
Series Expansions ◽  
Constant Heat ◽  
Flux Profile

In the framework of Jaeger’s model for heat transfer in dry surface grinding, series expansions for calculating the temperature field, assuming constant, linear, triangular, and parabolic heat flux profiles entering into the workpiece, are derived. The numerical evaluation of these series is considerably faster than the numerical integration of Jaeger’s formula and as accurate as the latter. Also, considering a constant heat flux profile, a numerical procedure is proposed for the computation of the maximum temperature as a function of the Peclet number and the depth below the surface. This numerical procedure has been used to evaluate the accuracy of Takazawa’s approximation.

Analysis and FEM Simulation of Temperature Field in Wet Surface Grinding

2010 ◽  
Vol 25 (6) ◽  
pp. 399-406 ◽  
Author(s):  
C. Mao ◽  
Z. X. Zhou ◽  
Y. H. Ren ◽  
B. Zhang
Keyword(s):  
Temperature Field ◽  
Fem Simulation ◽  
Surface Grinding ◽  
Wet Surface

scholarly journals Calculation of Some Integrals Arising in Heat Transfer in Geothermics

2010 ◽  
Vol 2010 ◽  
pp. 1-13 ◽  
Author(s):  
J. L. G. Santander ◽  
P. Castañeda Porras ◽  
J. M. Isidro ◽  
P. Fernández de Córdoba
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Temperature Field ◽  
Heat Exchanger ◽  
Ambient Temperature ◽  
Periodic Oscillation ◽  
Field Evaluation ◽  
Borehole Heat Exchanger

We calculate some integrals involved in the temperature field evaluation of the ground, heated by a borehole heat exchanger. This calculation allows a faster computation of that component of the temperature field which involves the periodic oscillation of the ambient temperature or the ambient heat flux.

scholarly journals Maximum Temperature in Dry Surface Grinding for High Peclet Number and Arbitrary Heat Flux Profile

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
J. L. González-Santander
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Linear Regression ◽  
Peclet Number ◽  
Surface Grinding ◽  
Linear Case ◽  
Maximum Temperature ◽  
Péclet Number ◽  
Asymptotic Expressions ◽  
Flux Profile

Regarding heat transfer in dry surface grinding, simple asymptotic expressions of the maximum temperature for large Peclet numbers are derived. For this purpose, we consider the most common heat flux profiles reported in the literature, such as constant, linear, triangular, and parabolic. In the constant case, we provide a refinement of the expression given in the literature. In the linear case, we derive the same expression found in the literature, being the latter fitted by using a linear regression. The expressions for the triangular and parabolic cases are novel.

Temperature field evaluation of a two-dimensional partial heat flow problem through Green's Functions

2019 ◽  
Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes
Keyword(s):  
Temperature Field ◽  
Heat Flow ◽  
Green's Functions ◽  
Flow Problem ◽  
Green’S Functions ◽  
Field Evaluation ◽  
Two Dimensional

Analysis and Mitigation of Sample Heating in Thermoreflectance Microscopy

2005 ◽  
Author(s):  
Andrew C. Miner ◽  
Uttam Ghoshal
Keyword(s):  
Heat Flux ◽  
Temperature Field ◽  
Temperature Rise ◽  
Technical Conference ◽  
Electronic Systems ◽  
Sample Heating ◽  
Large Measurement ◽  
Reflectance Microscopy ◽  
Analytical Expressions ◽  
Thermoreflectance Microscopy

The illumination of a sample when imaged by thermoreflectance thermal microscopy may cause significant heating of the surface. Nonlinearities in the performance of the system being imaged may lead to large measurement induced errors in the observed temperature field. Analytical expressions are presented to estimate the temperature rise and heat flux in a sample. Spatially filtered thermo-reflectance microscopy is introduced as a technique to significantly reduce the incident heat flux without loss of spatial resolution.   This paper was also originally published as part of the Proceedings of the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems.

The Temperature Distribution Within a Sphere Placed in a Directed Uniform Heat Flux and Allowed to Radiatively Cool

1985 ◽  
Vol 107 (1) ◽  
pp. 28-32 ◽  
Author(s):  
D. Duffy
Keyword(s):  
Heat Flux ◽  
Temperature Field ◽  
Temperature Distribution ◽  
Analytic Solution ◽  
Blackbody Radiation ◽  
Heat Fluxes ◽  
Uniform Heat Flux ◽  
Transform Methods ◽  
Uniform Heat ◽  
Large Heat

The temperature field within a sphere is found when the sphere is heated by a directed heat flux and cooled by blackbody radiation. For small heat fluxes, the analytic solution is obtained by transform methods. For large heat fluxes, the solution is computed numerically.

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