Purpose
The purpose of this study is to show the procedure, application and main features of the hybrid numerical-analytical approach known as generalized integral transform technique by using it to study magnetohydrodynamic flow of electrically conductive Newtonian fluids inside flat parallel-plate channels subjected to a uniform and constant external magnetic field.
Design/methodology/approach
The mathematical formulation of the analyzed problem is given in terms of a streamfunction, obtained from the Navier–Stokes and energy equations, by considering steady state laminar and incompressible flow and constant physical properties.
Findings
Convergence analyses are performed and presented to illustrate the consistency of the integral transformation technique. The results for the velocity and temperature fields are generated and compared with those in the literature as a function of the main governing parameters.
Originality/value
A detailed analysis of the parametric sensibility of the main dimensionless parameters, such as the Reynolds number, Hartmann number, Eckert number, Prandtl number and electrical parameter, for some typical situations is performed.
Non-processed kaolin (flint kaolin) from a mine located in the Capim area (Amazon region, northern Brazil), usually considered as waste, was selected as a source of silicon and aluminum in the synthesis of SAPO-34. This is a molecular sieve and cationic exchanger chosen for tests focusing on the removal of methylene blue in aqueous solutions, which is a cationic dye widely used by textile industries in Brazil. The results revealed that the SAPO-34 has been successfully synthesized with typical cubic morphology, good crystallinity (>90%), and thermal stability (~998 °C). Although the oxidized Fe/Ti impurities contained in the flint kaolin affect the degree of crystallinity of the zeolitic product, its adsorptive properties are not significantly affected, which demonstrates the excellent adsorption results (pH = 11; % removal > 90%). It proved to be an adsorbent with considerable adsorption capacity (9.83 mg·g−1). The pH test confirmed the acidic surface characteristics (pH solution 2–4; ↓ removal), and the kinetic model that best fitted the experimental data was pseudo-second-order, with R2 = 0.998 (kinetics controlled by chemisorption).
RESUMO -Foi estudado o escoamento transiente pulsátil através de um canal poroso do tipo Darcy-Forchhmeir de um biofluido influenciado por um campo magnético externo aplicado transversalmente ao canal com reação química. Na formulação foi considerado o escoamento laminar, bidimensional, incompressível, eletricamente condutor, através de um meio poroso, dentro de um canal formado entre placas planas paralelas com transpiração da parede. Os campos de velocidade, concentração e temperatura foram solucionados utilizando a Técnica da Transformada Integral Generalizada e as soluções obtidas foram comparadas com as da literatura obtendo-se uma boa concordância. Foi avaliada ainda a influência do número de Prandtl no campo de temperatura, do número de Schmidt na distribuição de concentração e do número de Reynolds no perfil de velocidade, observando-se que o processo é fortemente sensível aos efeitos deste último.
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