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Hybrid Methods in Engineering

Modeling, Programming, Analysis, Animation 

ISSN for PRINT: 1099-2391

Institutional price:

$396.00

Issues per year:

4

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Best Paper Award Selection - Editorial Board Site

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2000, Volume2

Issue 4

  152 pages  

   

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Issue price - $125.00  

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  • AN EFFICIENT NUMERICAL INTEGRATION ALGORITHM FOR INTEGRAL TRANSFORM SOLUTION OF NONLINEAR CONVECTION-DIFFUSION PROBLEMS
  • Humberto Araujo Machado
    Laboratory of Transmission and Technology of Heat—LTTC,Mechanical Engineering Dept.,EE/COPPE/UFRJ,Universidade Federal do Rio de Janeiro;Research and Development Institute,IP&D/UNIVAP,Av.Shishima Hifumi,2911,12244-000,Sao Josedos Campos-SP,Brazil


    ABSTRACT

    The Generalized Integral Transform Technique (GITT) is employed to solve convection-diffusion problems in fluids with variable physical properties. In this case, some strong nonlinear terms are observed in the formulation where the analytical transform is not possible. With the simple algorithm presented, the coefficients can be obtained numerically and great flexibility is permitted in changing boundary conditions and source terms of the original equations. Results are shown for the compressible boundary layer equations in a parallel plate channel flow and for the classical lid-driven flow in a square cavity with all the properties (except density) as functions of the temperature.

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