On the MHD flow and heat transfer of a micropolar fluid in a rectangular duct under the effects of the induced magnetic field and slip boundary conditions

Ismail, Hassan N. A.; Abourabia, Aly Maher; Hammad, D.A.; Ahmed, Nasrelden A.; Desouky, A. A. El

doi:10.1007/s42452-019-1615-9

Cited by 19 publications

(7 citation statements)

References 23 publications

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“…Ahmad et al 17 investigated micropolar fluid flow with porous media in presence of MHD in a rotating cone and the investigator found that the microrotation parameter showed decreasing behavior with the enhancement of magnetic as well as porosity parameters. The behavior of the flow of micropolar fluid under the influence of an induced magnetic field was numerically investigated by Hassan et al, 18 and the impacts of different parameters were visually presented in the form of graphs, including the Reynold Number, Hartmann Number, Brinkman Number, and a few other parameters. Mahmoud et al 19 and Lavanya et al 20 examined the impact of dissimilar physical variables on the fluid velocity, microrotation, and temperature and illustrated the impacts of these parameters on the generation of heat and thermal energy on MHD micropolar fluid flow past over stretching sheet/surface in the form of graphs.…”

Section: Introductionmentioning

confidence: 99%

Dual solution of heat transfer in hydromagnetic micropolar fluid flow over a stretching sheet in a porous media: A numerical approach

Hussain

Ahmed

2022

Heat Trans

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In this study, the researcher looks at the heat transmission of an incompressible magnetohydrodynamics micropolar fluid across a moving stretched surface in a Darcian permeable medium. The proper boundary conditions are used to facilitate the numerical solution (bvp4c) of the transformed governing equations. Graphical discussions have been made of the influence of the physical parameters on the velocity, angular velocity (microrotation), and temperature, and the distributions are accentuated on the plots via MATLAB. The study is validated by the previous work and it is found appropriate for investigation, where the absolute difference between the previous work and the present investigation by adopting the finite difference scheme is smaller than 1 0 − 5 $1 0^{\unicode{x02212} 5}$ which implies that the scheme is stable and convergent. The microrotation has a great impact on the micropolar fluid with the influences of buoyancy forces, source, and suction over the stretching surface in a Darcian regime. With a rise in the heat source parameter, both velocity and microrotational profiles lessen, but the opposite is true for temperature. Eringen number ( E r $E_{r}$ ) rises with the flow velocity, whereas temperature and microrotational profiles show the reverse relationship. The current study focused on particular applications in non‐Newtonian fluid mechanics, polymer flows in filtration systems and metallurgical procedures that included cooling unbroken strips or filaments via a static fluid.

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Section: Introductionmentioning

confidence: 99%

Dual solution of heat transfer in hydromagnetic micropolar fluid flow over a stretching sheet in a porous media: A numerical approach

Hussain

Ahmed

2022

Heat Trans

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“…Ramadevi et al [21] numerically studied the mixed convection micropolar fluid flow. Ismail et al [22] discussed that micropolar fluid beneath the consequence of convinced magnetic fields. Similar work was being done by [23,24].…”

Section: Introductionmentioning

confidence: 99%

Radiation and Multiple Slip Effects on Magnetohydrodynamic Bioconvection Flow of Micropolar Based Nanofluid over a Stretching Surface

et al. 2021

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Our aim in this article is to study the radiation and multiple slip effects on magnetohydrodynamic bioconvection flow of micropolar based nanofluid over a stretching surface. In addition, a steering mechanism of making improvements to the Brownian motion and thermophoresis motion of nanoparticles is integrated. The numerical solution of 2-dimensional laminar bioconvective boundary layer flow of micropolar based nanofluids is presented. The basic formulation as partial differential equations is transmuted into ordinary differential equations with the help of suitable similarity transformations. Which are then solved by using the Runge–Kutta method of fourth-order with shooting technique. Some important and relevant characteristics of physical quantities are evaluated via inclusive numerical computations. The influence of vital parameters such as buoyancy parameter λ, bioconvection Rayleigh number Rb, the material parameter K are examined. This investigation showed that with the increment in material parameter, micro rotation and velocity profile increases. In addition, the temperature rises due to the enhancement in Nb (Brownian motion) and Nt (thermophoresis parameter).

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“…Hayat et al 27 numerically analyzed the peristaltic MHD flow with IMF and thermodiffusion and diffusion thermo effects. Some more excellent articles reporting the IMF effect on MHD flows are authored by Ismail et al, 28 Hayat et al, 29 Rashid et al, 30 Amjad et al, 31 Akram et al, 32 and Singh et al 33 …”

Section: Introductionmentioning

confidence: 99%

Significance of Hall effect on heat and mass transport of titanium alloy‐water‐based nanofluid flow past a vertical surface with IMF effect

2021

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In this mathematical presentation, we examined the significance of Hall current on MHD buoyancy‐driven boundary layer flow of a Ti6Al4V‐H2O based nanofluid past a vertical surface implanted in a uniform permeable region. The vertical surface is considered to be magnetized and induced magnetic field (IMF) impacts are also considered. The nondimensional flow model is solved with the assistance of the two‐term perturbation scheme. Various results are obtained by numerical computation for different significant parameters. These results are presented and analyzed in graphical and tabular form. In the boundary layer domain, the transpiration velocity across the surface tends to diminish the main flow, IMF along the main flow, fluid temperature, and concentration. It is remarkably noted that IMF along the main flow grows for incrementing values of volume fraction coefficient of nanofluid. In the magnetic boundary layer domain, the main flow and IMF along the main flow grow with Hall current. Furthermore, it is seen that for the progressing values of magnetic Prandtl number, the main flow reduces while normal flow and IMF along the main flow is induced in the boundary layer domain.

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On the MHD flow and heat transfer of a micropolar fluid in a rectangular duct under the effects of the induced magnetic field and slip boundary conditions

Cited by 19 publications

References 23 publications

Dual solution of heat transfer in hydromagnetic micropolar fluid flow over a stretching sheet in a porous media: A numerical approach

Dual solution of heat transfer in hydromagnetic micropolar fluid flow over a stretching sheet in a porous media: A numerical approach

Radiation and Multiple Slip Effects on Magnetohydrodynamic Bioconvection Flow of Micropolar Based Nanofluid over a Stretching Surface

Significance of Hall effect on heat and mass transport of titanium alloy‐water‐based nanofluid flow past a vertical surface with IMF effect

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