2017
DOI: 10.1299/jtst.2017jtst0033
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MHD couple stress nanofluid flow in a permeable wall channel with entropy generation and nonlinear radiative heat

Abstract: In this paper, both first and second laws of thermodynamics are employed to examine the combined effects of nonlinear thermal radiation, buoyancy forces, thermophoresis and Brownian motion on entropy generation rate in hydromagnetic couple stress nanofluid flow through a vertical channel with permeable walls. The model equations of momentum, energy balance and nanoparticle concentration are obtained and tackled numerically using a shooting technique coupled with Runge-Kutta-Fehlberg integration scheme. The num… Show more

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Cited by 26 publications
(14 citation statements)
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“…The following assumptions are adopted to facilitate the solution of the governing equations. Under these assumptions, the governing equations of the system are [7][8][9]22] ν…”
Section: Mathematical Formulationmentioning
confidence: 99%
See 1 more Smart Citation
“…The following assumptions are adopted to facilitate the solution of the governing equations. Under these assumptions, the governing equations of the system are [7][8][9]22] ν…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…Kaladhar [21] has obtained a solution using a homotopy analysis method for the natural convection of a couple stress fluids between two vertical plates, taking into account the Hall and Joule heating effects. Numerically, Makinde and Eegunjobi [22] contemplated the combined effects of nonlinear thermal radiation, buoyancy forces, thermophoresis, and Brownian motion on the entropy generation rate in hydromagnetic couple stress nanofluid flow through a vertical channel utilizing a shooting technique combined with the Runge-Kutta-Fehlberg method.…”
Section: Introductionmentioning
confidence: 99%
“…Eldabe et al [31] examined the influence of Soret, Darcy, Hartmann and Schmidt numbers, and couple stress fluid parameter, on the heat and mass transfer with MHD flow of couple stress fluid through a porous medium. The irreversibility of heat and mass transfer of a couple stress nanofluid flow through a saturated magnetoporous vertical channel and a radiative heat transfer with entropy generation was realized in the papers [32,33]. Mondal et al [34], presented a study of heat and mass transfer for a stress-induced nanofluid in a magneto-porous medium with heat generation and thermal radiation.…”
Section: Introductionmentioning
confidence: 99%
“…The entropy generation in a mixed convection flow of nanofluid in a vertical porous channel is investigated by Makinde and Tshehla [38] in the presence of Lorentz force. Some of the recent investigations on the minimization of entropy generation are reported in [39,40,41,42,43,44,45,46,47,48].…”
Section: Introductionmentioning
confidence: 99%