Chemical reaction and Soret effects on hydromagnetic micropolar fluid along a stretching sheet

Mishra, S. R.; Baag, S.; Mohapatra, Dipti

doi:10.1016/j.jestch.2016.07.016

Cited by 38 publications

(28 citation statements)

References 31 publications

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“…The transverse magnetic field is taken perpendicular to the extending surface. It is supposed that the magnetic and electric field effects are very minor as the magnetic Reynolds number is less, see Mishra et al [27].The micropolar finite size particles along with nanoparticles are constantly distributed in the base fluids. The fluid particles have extra space to travel about, formerly hitting other fluid particles, where these particles revolve in the fluid field and fallouts for spinning effects in the micropolar nanofluid.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Srinivasacharya et al [26] explored the double diffusive effect on the flow of micropolar fluid on a slanted sheet. Other similar studies on the different aspects of fluids are given in [27][28][29][30][31]. The flow symmetry of fluids in general has been studied using theoretical methods, various experiment methods, and different numerical techniques, in various fields such as the field of fluid mechanics, the field of thermal engineering, etc., due to their several benefits and relevance in terms of flow control and heat transfer enhancement.…”

Section: Introductionmentioning

confidence: 99%

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Hydromagnetic Flow of Micropolar Nanofluid

et al. 2020

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Similar to other fluids (Newtonian and non-Newtonian), micropolar fluid also exhibits symmetric flow and exact symmetric solution similar to the Navier–Stokes equation; however, it is not always realizable. In this article, the Buongiorno mathematical model of hydromagnetic micropolar nanofluid is considered. A joint phenomenon of heat and mass transfer is studied in this work. This model indeed incorporates two important effects, namely, the Brownian motion and the thermophoretic. In addition, the effects of magnetohydrodynamic (MHD) and chemical reaction are considered. The fluid is taken over a slanted, stretching surface making an inclination with the vertical one. Suitable similarity transformations are applied to develop a nonlinear transformed model in terms of ODEs (ordinary differential equations). For the numerical simulations, an efficient, stable, and reliable scheme of Keller-box is applied to the transformed model. More exactly, the governing system of equations is written in the first order system and then arranged in the forms of a matrix system using the block-tridiagonal factorization. These numerical simulations are then arranged in graphs for various parameters of interest. The physical quantities including skin friction, Nusselt number, and Sherwood number along with different effects involved in the governing equations are also justified through graphs. The consequences reveal that concentration profile increases by increasing chemical reaction parameters. In addition, the Nusselt number and Sherwood number decreases by decreasing the inclination.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hydromagnetic Flow of Micropolar Nanofluid

et al. 2020

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“…The transverse magnetic field B(x) = B 0 x m−1 2 is taken normal to the stretching sheet with strength B 0 . It is supposed that the electric and magnetic field properties are very insignificant as the magnetic Reynolds number is less, according to Mishra et al [37]. The micropolar finite-size particles, along with Nanoparticles, are constantly distributed in the base fluids.…”

Section: Problem Formulationmentioning

confidence: 99%

Keller-Box Simulation for the Buongiorno Mathematical Model of Micropolar Nanofluid Flow over a Nonlinear Inclined Surface

et al. 2019

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Brownian motion and thermophoresis diffusions are the fundamental ideas of abnormal upgrading in thermal conductivity via binary fluids (base fluid along with nanoparticles). The influence of Brownian motion and thermophoresis are focused on in the Buongiorno model. In this problem, we considered the Buongiorno model with Brownian motion and thermophoretic effects. The nonlinear ordinary differential equations are recovered from the partial differential equations of the boundary flow via compatible similarity transformations and then employed to the Keller-box scheme for numerical results. The physical quantities of our concern including skin friction, Nusselt number, and Sherwood number along with velocity, temperature and concentration profile against involved effects are demonstrated. The impacts of the involved flow parameters are drawn in graphs and tabulated forms. The inclination effect shows an inverse relation with the velocity field. Moreover, the velocity profile increases with the growth of the buoyancy effect.

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“…Ogulu 12 and Rahman and Sultana 13 have investigated the behavior of thermal radiation in micropolar fluid past a heated vertical porous plate with variable suction and heat flux near the plate surface. In recent, Mishra et al [14][15][16][17][18][19] have studied on the various aspects of flow phenomena in micropolar fluid and their concluding remarks contributes significant approach in different field of research. Moreover, Ellahi et al [20][21][22][23][24] have investigated more studies on the MHD flows of various fluids in different geometries.…”

Section: Introductionmentioning

confidence: 99%

Free convective MHD micropolar fluid flow with thermal radiation and radiation absorption: A numerical study

Pradhan

Baag

Mishra

et al. 2019

Heat Trans. Asian Res.

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An analysis is carried out for the free convective flow of an electrically conducting micropolar fluid through permeable stretching sheet in the presence of porous medium. Inclusion of thermal radiation to the energy equation enhances the thermal properties of polar fluid. In addition to that the radiation absorption parameter occurs due to the interaction of solutal concentration difference also considered in the heat transfer equation. Suitable similar transformation is used to convert the governing partial differential equations to ordinary differential equations. Furthermore, though analytical solutions of these complex nonlinear coupled equations are more complicated therefore, numerical solution such as Runge‐Kutta fourth order method associated with shooting technique is adopted. Behavior of characterizing parameters for the flow phenomena are presented via graphs and computed values of physical quantities of interest are obtained and shown in tabular form. Present result validates with that of earlier results in particular case which confirms the existence of present solution methodology. However, the main findings of contributing parameters are laid down as; angular velocity profile contributes a dual character from the point of contact at the middle of the channel. Fluid temperature is affected by the inclusion of absorption coefficient.

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Chemical reaction and Soret effects on hydromagnetic micropolar fluid along a stretching sheet

Cited by 38 publications

References 31 publications

Hydromagnetic Flow of Micropolar Nanofluid

Hydromagnetic Flow of Micropolar Nanofluid

Keller-Box Simulation for the Buongiorno Mathematical Model of Micropolar Nanofluid Flow over a Nonlinear Inclined Surface

Free convective MHD micropolar fluid flow with thermal radiation and radiation absorption: A numerical study

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