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Keywords: Green’s functions
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Heat Mass Transfer. September 2024, 146(9): 091101.
Paper No: HT-23-1417
Published Online: March 20, 2024
... 1 Corresponding author. e-mail:  fsamadi@ua.edu e-mail:  keith.woodbury@ua.edu e-mail:  rperuchipachecodasilva@crimson.ua.edu heat conduction Green's functions exact mathematical solution inverse heat conduction problem References [1] Samadi , F. , Woodbury...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Heat Mass Transfer. October 2014, 136(10): 101301.
Paper No: HT-13-1438
Published Online: July 15, 2014
... solutions for such a test, but verification of custom-made numerical solutions is important in order to assure accuracy. The present work involves the generation of an exact solution using Green's functions where the principle of superposition is employed in combining a one-dimensional (1D) cylindrical case...
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
... , ∞ [ (17) ρ ( 0 , τ ) = 0 ,   ρ ( 1 , τ ) = 0 ,   for   τ ≥ 0 ρ ( z , 0 ) = z - 1 ,   for   0 < z < 1 and that F 1 is discontinuous at (0, 0). Note that Eq. (15) provides us with the Green’s function G ( ( z , t...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. November 2008, 130(11): 111301.
Published Online: August 28, 2008
... Green’s functions containing convolution-type integrals, which involve integration over a dummy time, referred to as “cotime.” Two types of Green’s functions are used: one for short cotimes comes from the Laplace transform and the other for long cotimes from the method of separation of variables...