... time of the natural convection boundary layer are obtained using triple-layer integral solutions and verified by direct numerical simulations over a wide range of flow parameters. 26 05 2010 26 05 2011 31 08 2011 31 08 2011 boundary layers flow simulation integral...

...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...

... 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...

... provided for the nine possible combinations of boundary conditions in each dimension. 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...

... 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...

... ). Financial support of this research from Honeywell ASCa, Inc. and the Natural Sciences and Engineering Research Council of Canada is gratefully acknowledged. 10 11 2005 12 04 2006 heat exchangers convection two-phase flow integral equations Log-mean and effectiveness-NTU...

... of these configurations in the flow phenomena is the motivation for carrying out numerical study of this topic. natural convection numerical simulation laminar flow complex geometry natural convection integral equations finite volume methods confined flow 28 06 2005 18 02 2006 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...

... 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...

...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...

... 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...

...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...

... ), pp. 819 – 836 . Loyalka , S. K. , and Tsai , R. W. , 1975 , “ A Numerical Method for Solving Integral Equations of Neutron Transport-II ,” Nucl. Sci. Eng. , 58 , pp. 193 – 202 . Crosbie , A. L. , and Schrenker , R. G. , 1984 , “ Radiative Transfer in a Two-Dimensional...

... integral equations temperature distribution 08 September 2000 29 March 2002 11 09 2002 Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER . Manuscript received by the Heat Transfer Division September 8, 2000; revision received March 29, 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...

...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...

... 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...

...-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...

...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...

...; 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...