Effect of micromagnetorotation on magnetohydrodynamic Poiseuille micropolar flow: analytical solutions and stability analysis

Aslani, Κyriaki-Evangelia; Sarris, Ioannis E.

doi:10.1017/jfm.2021.437

Cited by 30 publications

(10 citation statements)

References 58 publications

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“…By perceiving the efforts of Merkin [51] and Merrill et al [52], a stability analysis is implemented since the occurrence of several solutions was established in the boundary value problem (7) and (8). Now, by introducing a new transformation variable, τ is proposed under the unsteady-state query, as follows (Waini et al [53]; Zainal et al [54]): (11) Mathematics 2021, 9, 2428 6 of 15 Employing (11) into Equations ( 7) and ( 8), the following equations are secured:…”

Section: Stability Analysismentioning

confidence: 99%

“…Later, Pavlov [7] used a uniform transverse magnetic field to investigate the flow of electrically conducting fluids in a boundary layer. A summary of some research that tests the effect of MHD in the boundary layer flow can be reviewed here [8][9][10][11]. The findings in [8,9] show that the magnetic parameter is pronounced to have a significant impact on the heat transfer rate.…”

Section: Introductionmentioning

confidence: 99%

“…The findings in [8,9] show that the magnetic parameter is pronounced to have a significant impact on the heat transfer rate. Meanwhile, [10,11] reported that a decrease in the fluid's velocity is caused by the increment of magnetic field's intensity. Therefore, based on the stated literature, we believe that this study has important implications for understanding the crucial role of MHD in boundary layer flow.…”

Section: Introductionmentioning

confidence: 99%

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Stability Analysis of Unsteady MHD Rear Stagnation Point Flow of Hybrid Nanofluid

2021

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Previous studies have reported that investigating the stagnation point flow is relevant in a variety of industrial and technological processes, including extrusion and the polymer industries. Hence, the present work aims to analyse the heat transfer performance of unsteady magnetohydrodynamics (MHD) in hybrid nanofluid and heat generation/absorption impact. The multivariable differential equations with partial derivatives are converted into a specific type of ordinary differential equations by using valid similarity transformations. The resulting mathematical model is clarified utilising the bvp4c function. The results of various control parameters were analysed, and it was discovered that increasing the nanoparticle concentration and magnetic field increases the coefficient of skin friction along the stretching/shrinking surface. The inclusion of the heat generation parameter displays an upward trend in the temperature distribution profile, consequently degrading the heat transfer performance. The findings are confirmed to have more than one solution, and this invariably leads to a stability analysis, which confirms the first solution’s feasibility.

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Section: Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stability Analysis of Unsteady MHD Rear Stagnation Point Flow of Hybrid Nanofluid

2021

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“…MHD effect on the unstable stream of tangent hyperbolic nanofluid past a operating chemical reaction studied by Gharami et al [6]. Aslani et al [7] investigated the magnetohydrodynamic effects of micro-magnetorotation analytical solutions and stability analysis for Poiseuille micropolar flow. Numerical evaluation of the nanofluid flow of Agwater in thermal efficiency and thermodynamic considerations described by Yang et al [8].…”

Section: Introductionmentioning

confidence: 99%

MHD Williamson Nanofluid Flow over a Slender Elastic Sheet of Irregular Thickness in the Presence of Bioconvection

et al. 2021

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Bioconvection phenomena for MHD Williamson nanofluid flow over an extending sheet of irregular thickness are investigated theoretically, and non-uniform viscosity and thermal conductivity depending on temperature are taken into account. The magnetic field of uniform strength creates a magnetohydrodynamics effect. The basic formulation of the model developed in partial differential equations which are later transmuted into ordinary differential equations by employing similarity variables. To elucidate the influences of controlling parameters on dependent quantities of physical significance, a computational procedure based on the Runge–Kutta method along shooting technique is coded in MATLAB platform. This is a widely used procedure for the solution of such problems because it is efficient with fifth-order accuracy and cost-effectiveness. The enumeration of the results reveals that Williamson fluid parameter λ, variable viscosity parameter Λμ and wall thickness parameter ς impart reciprocally decreasing effect on fluid velocity whereas these parameters directly enhance the fluid temperature. The fluid temperature is also improved with Brownian motion parameter Nb and thermophoresis parameter Nt. The boosted value of Brownian motion Nb and Lewis number Le reduce the concentration of nanoparticles. The higher inputs of Peclet number Pe and bioconvection Lewis number Lb decline the bioconvection distribution. The velocity of non-Newtonian (Williamson nanofluid) is less than the viscous nanofluid but temperature behaves oppositely.

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“…Bioconvection is fluid motion caused by microscopic density gradients generated by the communal motion of swimming microorganisms [33][34][35][36]. The increase in the base fluid density due to the aggregation of motile microorganisms in a certain region causes bioconvection.…”

Section: Introductionmentioning

confidence: 99%

A Fully Resolved Computational Fluid Dynamics Study of the Boundary Layer Flow of an Aqueous Nanoliquid Comprising Gyrotactic Microorganisms over a Stretching Sheet: The Validity of Conventional Similarity Models

Hosseini¹,

Abidi

Mohammadi

et al. 2021

Mathematics

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When materials are processed in the form of sheets that are stretched, cooling is often required. Coolants have been developed to maximize the rate of heat transfer away from the sheet, including by adding nanoparticles and microorganisms to control the physical properties of the fluid. Such coolants perform well, but the interaction between them and the sheet is not yet fully understood. Most of the articles found in the literature have used similarity models to solve the set of governing equations. In this method, the governing equations can be mapped into a set of 1-D equations and solved easily. However, care should be taken when using this method as the validity of this method is ensured only in the fully developed region, far away enough from the extrusion slit. The present study, therefore, aims to explore the reliability of a similarity model by comparing it with a full computational fluid dynamics (CFD) approach. In this work, the boundary layer flow of a nanoliquid comprising gyrotactic microorganisms in both the developed and undeveloped regions of a stretching sheet is studied using computational fluid dynamics with the finite difference approach, implemented using FORTRAN. The results of the CFD method are compared against the similarity analysis results for the length of the developed and undeveloped regions. This study, for the first time, distinguishes between the undeveloped and fully developed regions and finds the region in which the similarity analysis is valid. The numerical results show that the critical Reynolds numbers for the boundary layers of the concentration of the nano-additives and of density of the microorganisms are equal. To achieve an agreement between the CFD and the similarity model within 5%, the Grashof number for the hydrodynamic boundary layer must be <4 × 104. Increasing the bioconvection Rayleigh number leads to a decrease in the skin friction coefficient. The length of the region in which the microorganism’s density is not fully developed remains approximately constant for 103 < Gr < 105. Nonetheless, this length reduces significantly when the Grashof number increases from 105 to 106. The reduced Nusselt number, Nur, increases when the density difference of the microorganisms increases.

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Effect of micromagnetorotation on magnetohydrodynamic Poiseuille micropolar flow: analytical solutions and stability analysis

Abstract: Abstract

Cited by 30 publications

References 58 publications

Stability Analysis of Unsteady MHD Rear Stagnation Point Flow of Hybrid Nanofluid

Stability Analysis of Unsteady MHD Rear Stagnation Point Flow of Hybrid Nanofluid

MHD Williamson Nanofluid Flow over a Slender Elastic Sheet of Irregular Thickness in the Presence of Bioconvection

A Fully Resolved Computational Fluid Dynamics Study of the Boundary Layer Flow of an Aqueous Nanoliquid Comprising Gyrotactic Microorganisms over a Stretching Sheet: The Validity of Conventional Similarity Models

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