INTEGRAL TRANSFORM SOLUTION FOR MAGNETOHYDRODYNAMIC FLOW WITH HEAT TRANSFER IN A PARALLEL-PLATE CHANNEL
Fabio de Andrade Pontes1; Emanuel Negrão Macedo1; Clauderino da Silva Batista1; João Alves de Lima2; João Nazareno Nonato Quaresma1
1 Universidade Federal do Pará; 2 Universidade Federal da Paraíba
doi:10.20906/CPS/COB-2015-2462
Resumo
The objective of present work is to apply the hybrid numerical/analytical approach known as GITT (Generalized Integral Transform Technique) by solving a magnetohydrodynamic flow of electrical conductor Newtonian fluids inside a parallel-plate channel subjected to a uniform and constant external magnetic field, wherein the mathematical formulation of the physical problem is given in terms of streamfunction obtained from the Navier-Stokes equations and the energy equation. The adopted assumptions are steady state, laminar and incompressible flow and constant physical properties. Convergence analyses are performed and presented in order to illustrate the consistency of the integral transformation technique. Results for the velocity and temperature fields are generated and compared with those in the literature as a function of the main governing parameters.
Palavras-chave: Generalized integral transform technique (GITT); Magnetohydrodynamics (MHD); Parallel plates; Heat transfer; Parallel-plates channel