... are explored in this section in order to make a comparison between exact method and numerical method for R20φ00Z22 and R21φ00Z22 cases. The precision for exact solution is set to be ε = 10 − 5 . The commercial software Transient thermal in ansys 18.2 is applied to build the geometry...

... [12] Chu , H. H.-S. , and Churchill , S. W. , 1977 , “ The Development and Testing of a Numerical Method for Computation of Laminar Natural Convection in Enclosures ,” Comput. Chem. Eng. , 1 , pp. 103 – 108 . 10.1016/0098-1354(77)80014-8 [13] Ozoe , H. , Yamamoto , K...

... numerical methods This paper is dedicated to Dr. M. M. M. Abou-Ellail, who sadly passed away during the course of review of this paper. Platinum and palladium are common catalysts used to assist combustion. Cattolica and Schefer [( 1 ), 2 ] experimentally investigated the combustion...

... numerical methods analytical methods Excessive oil production from a well that partially penetrates an oil zone overlying water aquifer causes the oil/water interface to bow into a bell-shape water cone. As the production rate increases, the cone peak rises above the original water/oil contact (WOC...

... ), pp. 2155 – 2168 . Kandasamy , R. , and Subramanyam , S. , 2005 , “ Application of Computational Fluid Dynamics Simulation Tools for Thermal Characterization of Electronic Packages ,” Int. J. Numer. Methods Heat Fluid Flow 0961-5539 , 15 ( 1 ), pp. 61 – 72 . 10.1108...

... by a commercial finite element software package. The computer model for the problem was used to estimate heat generation rates that could initiate meltdown of a fuel rod. Carnahan , B. , 1969 , Applied Numerical Methods , Wiley , New York . Larssom , S. , and Thomee , V. , 2003...

... ,” ASME J. Heat Transfer 0022-1481 , 101 , pp. 29 – 37 . Maliska , C. R. , and Raithby , G. D. , 1984 , “ A Method for Computing Three-Dimensional Flows Using Non-orthogonal Boundary-Fitted Coordinates ,” Int. J. Numer. Methods Fluids 0271-2091 10.1002/fld.1650040606 , 4 , 519...

... 06 2005 21 10 2006 etching diffusion reaction kinetics finite volume methods wet chemical etching fixed-grid method numerical methods finite-volume method Etching control volumes undergoing etching With a similar approach, it can be shown...

... step change in the input, and can be obtained by analytical 11 or numerical methods. In Eq. ( 4 ), Z i is evaluated at x = 1 (sensor location) and for the times t i = i Δ t , i = 1 , 2 , … , r . For subsequent discussion, the solution, Eq...

... of the deterministic number sequences are frequently needed 17 . The Monte Carlo method is a numerical technique of solving various scientific and engineering problems by the simulation of random variables. Monte Carlo is one of the most versatile and widely used numerical methods...

... in laser processing and dilatometry tests can be as high as a thousand degrees per second. The accuracy of measured temperature is important for assessing the rapid microstructural changes 14 . Heat Transfer Measurement Techniques Numerical Methods Thermocouples...

... 07 2003 12 04 2004 flow instability flow simulation natural convection pipe flow Convection in Cylinder Heat Transfer Numerical Methods Stability Axisymmetry-breaking bifurcations of axisymmetric convective flows have been extensively studied mainly...

...; revision received May 16, 2003. Associate Editor: S. T. Thynell. 10 January 2003 16 May 2003 23 09 2003 heat radiation Heat Transfer Laser Numerical Methods Participating Media Radiation The zonal method, originally developed by Hottel and Cohen 1...

.... 26 June 2002 04 June 2003 23 09 2003 heat conduction Boltzmann equation finite volume methods ray tracing phonons Conduction Heat Transfer Microscale Nanoscale Numerical Methods In recent years there has been a great deal of interest in understanding...

... temperature measurement heat transfer finite element analysis Heat Transfer Measurement Techniques Numerical Methods Thermocouples Temperature is one of the controlling parameters in many thermal processing technologies of metals. It is crucial to have knowledge of the changing temperature...

... Heat Transfer Impingement Numerical Methods Jet impingement is a technique for enhancing heat transfer that is employed in a variety of applications ranging from drying of textiles and films, to metal sheet manufacturing and to gas turbine and electronic equipment cooling. Due to its...

... heat conduction Finite difference Heat Transfer Melting Moving Boundaries Numerical Methods Phase Change Moving boundary Stefan problems involving heat conduction in conjunction with change of phase arise in many physical processes, such as melting of ice, recrystallization of metals...

... Transfer Division March 28, 2002; revision received October 25, 2002. Associate Editor: S. T. Thynell. 28 March 2002 25 October 2002 21 03 2003 radiative transfer heat radiation Computational Heat Transfer Numerical Methods Radiation The discrete transfer method...

... November 2002 21 03 2003 inverse problems parameter estimation heat transfer shape measurement Heat Transfer Image Processing Inverse Numerical Methods Optimization The results shown in Fig. 9 considering case 5 at Bi=1 and σ=0 exhibit a similar trend. The dashed curves...

.... Associate Editor: P. S. Ayyaswamy. 24 May 2001 26 June 2002 29 01 2003 calcium compounds solutions heat transfer mass transfer melting temperature distribution Double Diffusion Experimental Heat Transfer Melting Natural Convection Numerical Methods Melting...