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

Rafique, Khuram; Anwar, Muhammad Imran; Misiran, Masnita; Khan, Ilyas; Seikh, Asiful H.; Sherif, El‐Sayed M.; Nisar, Kottakkaran Sooppy

doi:10.3390/pr7120926

Cited by 23 publications

(12 citation statements)

References 37 publications

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“…This condition is achieved if the thermal expansion coefficient β t and concentration expansion coefficient β c are proportional to x 1 . Hence, we assume that (see [34][35][36][37])…”

Section: Problem Formulationmentioning

confidence: 99%

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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“…This condition is achieved if the thermal expansion coefficient β t and concentration expansion coefficient β c are proportional to x 1 . Hence, we assume that (see [34][35][36][37])…”

Section: Problem Formulationmentioning

confidence: 99%

Hydromagnetic Flow of Micropolar Nanofluid

et al. 2020

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“…The Buongiorno model focuses on Brownian motion and thermophoresis. Rafique et al 12 addressed a Keller‐box implicit simulation of micropolar nanofluid (two‐phase nanofluid) over an inclined nonlinear sheet. Zero nanoparticle flux and second‐order slip impact on boundary layer flow nanofluid flow over a shrinking sheet reviewed by Rahman et al 13 Flow through a porous medium (Darcy law) is an attractive field in fluid flow problems.…”

Section: Introductionmentioning

confidence: 99%

“…The Buongiorno model focuses on Brownian motion and thermophoresis. Rafique et al 12 addressed a Keller-box implicit simulation of micropolar nanofluid (two-phase nanofluid) over an inclined nonlinear sheet.…”

mentioning

confidence: 99%

MHD radiative ohmic heating nanofluid flow of a stretching penetrable wedge: A numerical analysis

Dharmaiah¹,

Dinarvand

Balamurugan³

2022

Heat Trans

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The present numerical investigation has focused on the magnetohydrodynamics flow of a viscous nanofluid over a stretching wedge with the boundary convective conditions, thermal radiation, and ohmic heating. Buongiorno's two‐component nonhomogeneous nanoscale model was used and a dilute nanofluid with spherical type particles is considered. Similarity transformations are used to render the system of governing partial differential equations into a system of coupled similarity equations. The transformed equations are solved numerically with the BVP4C method. Validation of solutions with previous studies based on special cases of the general model is included. The salient features of fluid velocity profile, temperature as well as concentration profiles are discussed in a graphical manner for various values of selected governing factors. The skin friction coefficient, mass, and heat transfer rates are calculated and summarized. It is worthwhile noticing that the validation results exhibit an excellent agreement with already existing reports. The modeling of the present problem is useful in the thermal processing of sheet‐like substances that is a necessary operation in paper procurement, wire drawing, drawing of plastic films, polymeric sheets, and metal spinning.

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“…Recently, we have seen an explosive growth of activities in developing nanosuspensions for thermal engineering because of their superior and sub-wonders associated with this kind of working liquid. For example, Rafique et al [2][3][4] reviewed and discussed the analysis of nanofluid flow for a slanted surface, while Alotaibi et al [5] examined nanofluid flow numerically for a convective heat surface. Furthermore, Rafique et al [6] investigated Soret and Dufour impacts on nanofluid flow for a slanted surface.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Micro-Rotation Effect on Nanofluid Flow for Vertical Riga Plate

Alotaibi

Rafique²

2021

Crystals

Self Cite

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The investigation of heat and mass transport properties of the flow is a key research area in mathematics, physics, engineering, and computer science. This article focuses on studying the heat and mass transport phenomenon for micropolar nanofluid flow generated by a vertical stretching Riga plate. It is assembled by including a spanwise-aligned array of alternating electrodes and permanent magnets. This technique produces electromagnetic hydrodynamic behavior in flow. Our aim for this article is to examine the influences of Brownian motion and thermophoresis on a Riga plate. We also explore the micro-rotational effects of the particles. The flow behavior of the modeled problem has also been computed numerically and presented by the graph. It is verified that the numerical computations show a good approval with the reported earlier studies. The velocity profile is computed and presented by the graph, which shows direct correspondence with the modified Hartmann number. We also show that energy and mass flux rates increase by increasing modified Hartmann numbers. The results also revealed that concentration distribution diminishes for larger values of Brownian motion, whereas temperature distribution portrays increases for larger values of both Brownian motion and thermophoresis. Moreover, it is found that concentration distribution shows direct relation with thermophoretic impact.

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

Cited by 23 publications

References 37 publications

Hydromagnetic Flow of Micropolar Nanofluid

Hydromagnetic Flow of Micropolar Nanofluid

MHD radiative ohmic heating nanofluid flow of a stretching penetrable wedge: A numerical analysis

Numerical Analysis of Micro-Rotation Effect on Nanofluid Flow for Vertical Riga Plate

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