JP Journal of Heat and Mass Transfer
Volume 1, Issue 2, Pages 141 - 164
(June 2007)
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ANALYTICAL SOLUTION FOR MOVING SOURCES AT HIGH PECLET NUMBERS
Nicola Bianco (Italia), Oronzio Manca (Italia) and Vincenzo Naso (Italia)
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Abstract: An analytical solution of a quasi steady state two-dimensional simplified conduction problem for finite depth moving solids, subject to a Gaussian heat source, is proposed in this paper. The length along the moving direction is assumed to be infinite and the proposed simplified model neglects the conduction along the moving direction.
The comparison with the two-dimensional complete model shows that the error in terms of temperature values is less than 13 percent for Peclet numbers greater than 5, in accordance with the literature. Results for the simplified model and for are given in terms of temperature profiles and conductive fields in the solid. For a very thin solid the temperature dependence on the depth is slight and the thermal penetration in the solid is complete. For a very thick solid the thermal penetration is not complete and it decreases at increasing Peclet numbers. Results could give interesting information in heat treatment problemsalsobymeansoftheproposedcorrelationsamong dimensionless maximum temperatures, Peclet numbers and dimensionless depth for and |
Keywords and phrases: moving heat sources, analytical solution, simplified models, high Peclet numbers. |
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