Fundamental problem of heat transfer within a half-space due to a moving heat source of hyperelliptical geometry is studied in this work. The considered hyperelliptical geometry family covers a wide range of heat source shapes, including star-shaped, rhombic, elliptical, rectangular with round corners, rectangular, circular, and square. The effects of the heat source speed, aspect ratio, corners, and orientation are investigated using the general solution of a moving point source on a half-space and superposition. Selecting the square root of the heat source area as the characteristics length scale, it is shown that the maximum temperature within the half-space is a function of the heat source speed (Peclet number) and its aspect ratio. It is observed that the details of the exact heat source shape have negligible effect on the maximum temperature within the half-space. New general compact relationships are introduced that can predict the maximum temperature within the half-space with reasonable accuracy. The validity of the suggested relationships is examined by available experimental and numerical data for the grinding process, for medium Peclet numbers. For ultrafast heat sources, an independent experimental study is performed using a commercial laser system. The measured depth of the engraved grooves is successfully predicted by the proposed relationships.
Skip Nav Destination
e-mail: mohsen_akbari@sfu.ca
Article navigation
Technical Briefs
Geometrical Effects on the Temperature Distribution in a Half-Space Due to a Moving Heat Source
Mohsen Akbari,
Mohsen Akbari
Mechatronic Systems Engineering, School of Engineering Science,
e-mail: mohsen_akbari@sfu.ca
Simon Fraser University
, Surrey, BC, V3T 0A3, Canada
Search for other works by this author on:
David Sinton,
David Sinton
Department of Mechanical Engineering,
University of Victoria
, Victoria, BC, V8W 2Y2, Canada
Search for other works by this author on:
Majid Bahrami
Majid Bahrami
Mechatronic Systems Engineering, School of Engineering Science,
Simon Fraser University
, Surrey, BC, V3T 0A3, Canada
Search for other works by this author on:
Mohsen Akbari
Mechatronic Systems Engineering, School of Engineering Science,
Simon Fraser University
, Surrey, BC, V3T 0A3, Canadae-mail: mohsen_akbari@sfu.ca
David Sinton
Department of Mechanical Engineering,
University of Victoria
, Victoria, BC, V8W 2Y2, Canada
Majid Bahrami
Mechatronic Systems Engineering, School of Engineering Science,
Simon Fraser University
, Surrey, BC, V3T 0A3, CanadaJ. Heat Transfer. Jun 2011, 133(6): 064502 (10 pages)
Published Online: March 2, 2011
Article history
Received:
February 26, 2010
Revised:
November 24, 2010
Online:
March 2, 2011
Published:
March 2, 2011
Citation
Akbari, M., Sinton, D., and Bahrami, M. (March 2, 2011). "Geometrical Effects on the Temperature Distribution in a Half-Space Due to a Moving Heat Source." ASME. J. Heat Transfer. June 2011; 133(6): 064502. https://doi.org/10.1115/1.4003155
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
A Thermal Model for Concentric-Tube Overfire Air Ports
J. Thermal Sci. Eng. Appl (March,2009)
Effect of Variable Heat Transfer Coefficient, Fin Geometry, and Curvature on the Thermal Performance of Extended Surfaces
J. Electron. Packag (September,2003)
Numerical Analysis of Transient Temperature Distribution Inside a Current Transformer
J. Thermal Sci. Eng. Appl (September,2010)
Analytical Thermal Models of Oblique Moving Heat Source for Deep Grinding and Cutting
J. Manuf. Sci. Eng (May,2001)
Related Proceedings Papers
Related Chapters
Experimental Investigation of an Improved Thermal Response Test Equipment for Ground Source Heat Pump Systems
Inaugural US-EU-China Thermophysics Conference-Renewable Energy 2009 (UECTC 2009 Proceedings)
Special Thermal Problems
Pipe Stress Engineering
Completing the Picture
Air Engines: The History, Science, and Reality of the Perfect Engine