Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions

Pontes, Fabio A.; Miyagawa, Helder Kiyoshi; Pontes, Péricles C.; Macêdo, Emanuel Negrão; Quaresma, João Nazareno Nonato

doi:10.1016/j.jksus.2017.07.002

Cited by 7 publications

(3 citation statements)

References 9 publications

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“…Sheri and Shamshuddin (2018) analyzed the magnetohydrodynamics (MHD) micropolar rotating fluid flow over a vertical plate subjected to the impact of viscous dissipation. Pontes et al (2017) presented MHD flow of micropolar fluid past a vertical plate in a porous medium. They found that the linear velocity decreases as the value of the magnetic parameter increased, while the angular velocity increases for the same condition.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and analytical analysis of convective heat transport of radiated micropolar fluid over a vertical plate under nonlinear Boussinesq approximation

Mahanty

babu

Mahanthesh

2020

MMMS

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PurposeIn heat transfer problems, if the temperature difference is not sufficiently so small then the linear Boussinesq approximation is not adequate to describe thermal analysis. Also, nonlinear density variation with respect to temperature/concentration has a significant impact on heat and fluid flow characteristics. Because of this reason, the impact of nonlinear density variation in the buoyancy force term cannot be neglected. Therefore in this paper, the unsteady flow and heat transfer of radiating magneto-micropolar fluid by considering nonlinear Boussinesq approximation is investigated analytically.Design/methodology/approachThe flow is fully developed and time-dependent. Heat and mass flux boundary conditions are also accounted in the analysis. The governing equations of transport phenomena are treated analytically using regular perturbation method. To analyze the tendency of the obtained solutions, a parametric study is performed.FindingsIt is established that the velocity field is directly proportional to the nonlinear convection parameter and the same trend is observed with the increase of the value of Grashof number. The micro-rotational velocity profile decreases with increase in the nonlinear convection parameter. Further, the temperature profile increases due to the presence of radiative heat aspect.Originality/valueThe effectiveness of nonlinear Boussinesq approximation in the flow of micropolar fluid past a vertical plate in the presence of thermal radiation and magnetic dipole is investigated for the first time.

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Section: Introductionmentioning

confidence: 99%

Theoretical and analytical analysis of convective heat transport of radiated micropolar fluid over a vertical plate under nonlinear Boussinesq approximation

Mahanty

babu

Mahanthesh

2020

MMMS

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“…Reaction rate in a first-order chemical reaction is directly related to the concentration. In view of the pertinent applications, several authors have considered and collected their results of chemical reaction effects on the flow of heat and mass transfer with different geometries [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Archives of Thermodynamics

Rao,

Gopal,

Kishan

et al. 2020

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The characteristic of nano sized particles mass flux conditions are engaged in this investigation. Here we assume that the nano sized particle flux is zero and the nano sized particle fraction arranged itself on the boundary layer. With this convincing and revised relation, the features of Buongiorno relation on three-dimensional flow of Carreau fluid can be applied in a more efficient way. The governing partial differential equations of continuity, momentum, energy and concentration equations which are transmitted into set of pair of nonlinear ordinary differential equations utilizing similar transformations. The numeric solutions are acquired by engaging the bvp4c scheme, which is a finite-difference code for solving boundary value problems. A parametric study is accomplished to demonstrate the impact of Prandtl number, Weissenberg numbers, radiation parameter, chemical reaction parameter, thermophoresis parameter, Brownian motion parameter and Lewis number on the fluid velocity, temperature and concentration profiles as well skin friction coefficient, Nusselt number and Sherwood number

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“…It is based on the use of orthogonal eigenfunction expansions to express unknown dependent variables (Sphaier et al, 2011). Pontes et al (2019) In this context, the aim of the present work is the solution by the application of GITT of the pulsatile transient flow (modeling the heart pumping phenomenon) with heat and mass transfer of blood in a parallel plate channel (representing the geometry of the arteries) through a Darcy-Forchhmeir type porous medium (condition of some heart diseases) and in the presence of an homogeneous and irreversible reaction of the first order and to a constant transverse magnetic field. The convergence analysis of the series expansions, the numerical verification of the velocity (U), temperature (θ) and concentration (ϕ) profiles in comparison with the results of Ali et al (2015), as well as the evaluation of the effects of some physical parameters on these fields are presented.…”

Section: Introductionmentioning

confidence: 99%

Integral transform of MHD flow with heat and mass transfer of a biofluid in a parallel plate channel

Miyagawa¹,

Pontes

Curcino

et al. 2019

BJD

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Foi estudado o escoamento transiente pulsátil através de um canal poroso do tipo Darcy-Forchheimer de um biofluido influenciado por um campo magnético externo aplicado transversalmente ao canal com reação química. Na formulação matemática foi considerado o escoamento laminar, bidimensional, incompressível de um fluido 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 (GITT) e foi realizada uma análise de convergência das expansões em série, obtendo convergências satisfatórias com poucos termos nos somatórios. As soluções obtidas foram comparadas com as da literatura obtendo-se uma boa concordância em todos os campos e situações estudadas. Foi avaliada ainda a influência do número de Reynolds, do número de Prandtl, do número de Schmidt e do parâmetro magnético nos perfis de velocidade, temperatura e concentração, observando-se que o escoamento é fortemente sensível aos efeitos do número de Reynolds e do parâmetro magnético. Uma análise transiente também foi realizada observando que devido ao fluido estar em repouso no início, ele não é imediatamente acelerado, gerando um retardo no perfil de velocidade para tempos pequenos.

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Integral transform solution of micropolar magnetohydrodynamic oscillatory flow with heat and mass transfer over a plate in a porous medium subjected to chemical reactions

Cited by 7 publications

References 9 publications

Theoretical and analytical analysis of convective heat transport of radiated micropolar fluid over a vertical plate under nonlinear Boussinesq approximation

Theoretical and analytical analysis of convective heat transport of radiated micropolar fluid over a vertical plate under nonlinear Boussinesq approximation

Archives of Thermodynamics

Integral transform of MHD flow with heat and mass transfer of a biofluid in a parallel plate channel

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