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Keywords: integral equations
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Journal Articles
Article Type: Research Papers
J. Heat Transfer. November 2011, 133(11): 112501.
Published Online: August 31, 2011
... on a straight line through the origin. This indicates that the scaling relation (Eq. 35 ) for the unsteady velocity is appropriate. 26 05 2010 26 05 2011 31 08 2011 31 08 2011 boundary layers flow simulation integral equations natural convection Navier-Stokes equations...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. February 2010, 132(2): 023401.
Published Online: December 1, 2009
...K. G. Terry Hollands The application of a new Fredholm integral equation solver to problems in thermal radiation is explored. The new method provides a simplified version of Fredholm’s own 1903 solution which, while being highly important from a theoretical point of view, had been considered too...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. June 2009, 131(6): 061301.
Published Online: March 31, 2009
... of the segments have different dependencies on temperature. The general solution to this problem is a pair of coupled integral equations, which in previous work had to be solved numerically. In this work the temperature dependencies of the thermal conductivities are approximated using power laws, and perturbation...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. November 2008, 130(11): 111301.
Published Online: August 28, 2008
... – 3768 . 0017-9310 14 07 2007 27 11 2007 28 08 2008 convection convolution Green's function methods heat conduction integral equations Laplace transforms conduction eigenvalue cotime series Green’s functions A primary motivation for the development...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. May 2007, 129(5): 657–663.
Published Online: June 26, 2006
... and can have higher values downstream of the hydraulic jump compared to those obtained from the analysis that does not include the gravitational effects. 11 04 2006 26 06 2006 hydrodynamics liquid films heat transfer integral equations rotational flow heat transfer thin liquid...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. September 2006, 128(9): 953–962.
Published Online: April 12, 2006
... to propagate downstream. 10 11 2005 12 04 2006 heat exchangers convection two-phase flow integral equations Log-mean and effectiveness-NTU solution methods ( 1 2 3 ) have been widely documented for steady-state heat exchanger analysis. Relatively less data and analysis...
Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. July 2006, 128(7): 717–725.
Published Online: February 18, 2006
... undulations (1, 2 and 3) with different Rayleigh number and a fluid having Prandtl number 0.71. Results are presented in the form of local and average Nusselt number distribution for a selected range of Rayleigh number ( 10 0 - 10 6 ) . 28 06 2005 18 02 2006 natural convection integral...
Journal Articles
Article Type: Discussions
J. Heat Transfer. July 2007, 129(7): 927.
Published Online: January 30, 2006
...D. Milov 26 05 2005 30 01 2006 heat transfer integral equations integration Laplace transforms In this paper, the authors claim in the abstract and the conclusion that the “solution with dual phase lag depends only on the difference between the two lags...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. March 2006, 128(3): 217–225.
Published Online: September 12, 2005
... rotational flow integral equations liquid film cooling rotation heat transfer enhancement integral analysis Many investigations have been performed in the past on flow and heat transfer characteristics in thin liquid films due to the fact that high heat transfer rates can be obtained...
Journal Articles
Article Type: Discussions
J. Heat Transfer. July 2007, 129(7): 928.
Published Online: June 6, 2005
...Vladimir Kulish; Vasily Novozhilov 02 06 2005 06 06 2005 heat transfer integral equations Laplace transforms Both comments from our opponent are incorrect. Comment 1. For the purpose of mathematical model derivation, relations (1) and (3) are identities which hold...
Journal Articles
Article Type: Technical Papers
J. Heat Transfer. October 2004, 126(5): 805–808.
Published Online: November 16, 2004
... and the temperature gradient lag are considered, however, it is shown that only difference between the two affects temperature profile. Being applied at exposed surface of material, the integral equation predicts surface temperature variation for any form of imposed heat flux. The solution is tested considering solid...
Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. July 2005, 127(7): 785–790.
Published Online: October 25, 2004
...W. A. Khan; J. R. Culham; M. M. Yovanovich In this study, an integral approach of the boundary layer analysis is employed to investigate fluid flow around and heat transfer from an infinite circular cylinder. The Von Karman–Pohlhausen method is used to solve momentum integral equation...
Journal Articles
Article Type: Technical Notes
J. Heat Transfer. February 2004, 126(1): 137–140.
Published Online: March 10, 2004
... September 18, 2002; revision received March 11, 2003. Associate Editor: S. T. Thynell. 18 September 2002 11 March 2003 10 03 2004 radiative transfer integral equations absorbing media anisotropic media heat radiation Absorption Computational Emitting Heat Transfer...
Journal Articles
Article Type: Technical Papers
J. Heat Transfer. October 2002, 124(5): 875–880.
Published Online: September 11, 2002
... 2000 29 March 2002 11 09 2002 wetting heat conduction integral equations temperature distribution Analytical Boiling Heat Transfer Heat Pipes Modeling Nuclear The process of quenching of hot surfaces is of practical importance in nuclear and metallurgical...
Journal Articles
Article Type: Technical Papers
J. Heat Transfer. August 2002, 124(4): 685–695.
Published Online: July 16, 2002
...Zekeriya Altac¸ The SK N (Synthetic Kernel) approximation is proposed for solving radiative transfer problems in linearly anisotropically scattering homogeneous and inhomogeneous participating plane-parallel medium. The radiative integral equations for the incident energy and the radiative heat...
Journal Articles
Article Type: Technical Papers
J. Heat Transfer. August 2002, 124(4): 674–684.
Published Online: July 16, 2002
...Zekeriya Altac¸ A high order approximation, the SK N method—a mnemonic for synthetic kernel—is proposed for solving radiative transfer problems in participating medium. The method relies on approximating the integral transfer kernel by a sum of exponential kernels. The radiative integral equation...
Journal Articles
Article Type: Technical Papers
J. Heat Transfer. June 2001, 123(3): 476–485.
Published Online: November 7, 2000
... solution, which leads to the derivation of a Klein-Gordon equation. A method of undetermined parameters is developed to solve this equation, and the temperatures are derived in multiple regions in the shell. The results are expressed in integral equations, which are none of the Fredholm or Volterra types...
Journal Articles
Article Type: Technical Papers
J. Heat Transfer. April 2001, 123(2): 249–256.
Published Online: October 3, 2000
...-area formulation suited in principle for any enclosure containing a transparent medium. The surfaces are first represented parametrically, through “non-uniform rational B-spline” (NURBS) functions, the industry standard in CAD-CAM codes. The kernel of the integral equation is obtained without user...
Journal Articles
Article Type: Technical Notes
J. Heat Transfer. November 2000, 122(4): 818–823.
Published Online: June 27, 2000
...S.-H. Wu, Graduate Student; C.-Y. Wu, Professor, Mem. ASME The integral equation formulation for transient radiative transfer in two-dimensional cylindrical nonhomogeneous absorbing and linearly anisotropically scattering media with collimated pulse irradiation is presented. The integral equations...
Journal Articles
Article Type: Technical Notes
J. Heat Transfer. August 2000, 122(3): 606–612.
Published Online: March 30, 2000
...; such radiative transfer problems are generally represented by integral equations. The approach avoids use of any boundary/initial conditions associated with the original Taylor series expansion method and leads to an approximate solution in a simple closed form to the radiant integral equations, which can...