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Keywords: Fourier series
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Heat Mass Transfer. March 2013, 135(3): 031301.
Paper No: HT-12-1167
Published Online: February 14, 2013
... of thermal boundary and initial conditions [ 1–4 ]. heat equation semi-analytical numerical methods Fourier series Green’s functions Duhamel’s integrals Classical Green’s and Duhamel’s integral formulas are enforced for the solution of one dimensional heat conduction in a slab, under...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Heat Mass Transfer. April 2011, 133(4): 044504.
Published Online: January 13, 2011
... technique in the case of a time resolved experiment based on a thermal disturbance in the form of a periodic function or a distribution. The reliability of methods based on the Fourier series methods is demonstrated. 11 03 2010 17 09 2010 13 01 2011 13 01 2011 Fourier analysis...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. February 2009, 131(2): 021701.
Published Online: December 12, 2008
... heat flux. Those functions, which contain more high-frequency components of Fourier series, are more sensitive to the increase in the Reynolds number. This work was supported by the National Natural Science Foundation of China (Grant No. 50636050) and the Fundamental Project of R&D in China...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. January 2009, 131(1): 011303.
Published Online: October 17, 2008
...A. G. Ostrogorsky Based on the one-term Fourier series solution, a simple equation is derived for low Biot number transient conduction in plates, cylinders, and spheres. In the 0 < Bi < 0.3 range, the solution gives approximately three times less error than the lumped capacity solution...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Heat Mass Transfer. September 2006, 128(9): 963–968.
Published Online: April 21, 2006
...-dependent term in the boundary condition, Duhamel’s theorem is used to solve the problem for a periodic boundary condition. The boundary condition is decomposed by Fourier series. In order to check the validity of the results, the technique was also applied to a solid sphere under harmonic boundary...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Heat Mass Transfer. June 2006, 128(6): 596–600.
Published Online: December 16, 2005
...Kamel Hooman; Ali A. Merrikh A theoretical analysis is presented to investigate thermally and hydrodynamically fully developed forced convection in a duct of rectangular cross section filled with a hyper-porous medium. The Darcy-Brinkman model was adopted in the present analysis. A Fourier series...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. June 2006, 128(6): 550–556.
Published Online: December 1, 2005
...A. Haji-Sheikh This is a theoretical and numerical study of fully developed forced convection in various rectangular ducts. Each duct is filled with porous materials and the Brinkman model describes the laminar fluid flow inside this fully saturated porous passage. A Fourier series solution...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Heat Mass Transfer. February 2007, 129(2): 236–240.
Published Online: July 5, 2005
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. June 2005, 127(6): 606–613.
Published Online: June 6, 2005
... are such that axial symmetry does not occur and temperature does not change in the axial direction. The dimensionless local balance equations are solved analytically by means of the Fourier series expansion method. The analytical expressions of the dimensionless temperature field, of the dimensionless velocity field...