Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Hybrid Methods in Engineering

ISSN Печать: 1099-2391
ISSN Онлайн: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v3.i2-3.80
22 pages

A HYBRID NUMERICAL-ANALYTICAL METHOD FOR THE SOLUTION OF THREE-DIMENSIONAL TRANSIENT DIFFUSION PROBLEMS IN PRISMS

M. M. Mejias
Department of Mechanical Engineering, EE/COPPE, Federal University of Rio de Janeiro, UFRJ Cid. Universitaria, Cx. Postal: 68503 Rio de Janeiro, RJ, 21945-970 Brazil
Helcio R. B. Orlande
Department of Mechanical Engineering and Oncobiology Program, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

Краткое описание

In this article we present the solution of three-dimensional diffusion problems in prisms by using a hybrid numerical-analytical method. The proposed hybrid approach involves the integral transformation of the original problem along the longitudinal direction and the numerical solution of the resultant infinite system of partial differential equations. Results are presented and compared to a pure numerical (finite differences) solution approach for a cube involving constant physical properties and nonhomogeneous boundary conditions of the first, second, and third kinds and for the following cases of interest: (1) evaluation of the temperature field in the region at a prescribed time; (2) evaluation of the transient temperature field in the region during a time interval; and (3) evaluation of the transient temperature variation for a single point in the region during a time interval.


Articles with similar content:

DYNAMIC RESPONSE OF COUNTERCURRENT HEAT EXCHANGERS TO TEMPERATURE DISTURBANCES AND STEP FLOW VARIATIONS
International Heat Transfer Conference 6, Vol.4, 1978, issue
G. Papa, Roberto Forghieri
DUAL-PHASE-LAG HEAT CONDUCTION IN AN FG HOLLOW SPHERE: EFFECT OF THERMAL PULSE TYPE AND LOCATION OF A HEAT SOURCE
Heat Transfer Research, Vol.49, 2018, issue 4
Kamran Daneshjou, Majid Bakhtiari, Hossein Parsania
MATHEMATICAL STUDY OF CONVECTION HEAT TRANSFER UTILIZING SWCNT-WATER NANOFLUID INSIDE PARTIALLY HEATED HEXAGON CAVITY
4th Thermal and Fluids Engineering Conference, Vol.17, 2019, issue
Feroz Ahmed Soomro, Rizwan Ul Haq
SEMI-ANALYTIC NUMERICAL SOLUTION OF HEAT CONDUCTION PROBLEMS USING GREEN'S FUNCTIONS
3rd Thermal and Fluids Engineering Conference (TFEC), Vol.3, 2018, issue
Forooza Samadi, Keith A Woodbury
NUMERICAL STUDY OF HEAT AND MASS TRANSFER DURING DIRECTIONAL SOLIDIFICATION
ICHMT DIGITAL LIBRARY ONLINE, Vol.3, 1997, issue
Graham de Vahl Davis, Dominique Morvan, Andre Lamazouade, Patrick Bontoux