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Journal of Enhanced Heat Transfer
Facteur d'impact: 0.562 Facteur d'impact sur 5 ans: 0.605 SJR: 0.175 SNIP: 0.361 CiteScore™: 0.33

ISSN Imprimer: 1065-5131
ISSN En ligne: 1026-5511

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Journal of Enhanced Heat Transfer

DOI: 10.1615/JEnhHeatTransf.2018024656
pages 367-386


Bruno N. M. da Silva
Post-Graduate Program of Mechanical Engineering, UFRN, Natal-RN, Brazil
Gustavo E. Assad
Federal Institute of Technology, IF/PB, João Pessoa-PB, Brazil
João A. de Lima
Renewable Energy Engineering Department, UFPB/CEAR, João Pessoa-PB Brazil


This paper deals with the generalized integral transform solution procedure to the unsteady magneto-convection problem of an electrically conducting Newtonian fluid within a parallel-plate channel, in which Hall and ion-slip effects are taken into account. It is considered that the magnetic Reynolds number is small, i.e., the flow-induced magnetic fields are not strong enough to modify the applied transversal magnetic field. To cover a broader range of problems, temperature-dependent transport properties, time-dependent pressure gradient, inflow perpendicular to the plates (porous plates), and Couette flow are also considered in the mathematical formulation. Results are illustrated and compared to the main numerical results from the literature for the related velocity and temperature potentials as function of the main governing parameters, namely, Hartmann, suction/injection, transport properties, and electron and ion-slip parameters. In order to illustrate the consistency of the Generalized Integral Transform Technique (GITT) and its use for benchmarking purposes in the magneto fluid dynamics area, convergence analyses are carried out for the main potentials.