Interaction of Lorentz force with cross swimming microbes in couple stress nano fluid past a porous Riga plate

Mahmud, Kisman M.; Rana, Sudhir; Al-Zubaidi, A.; Mehmood, Rashid; Saleem, S.

doi:10.1016/j.icheatmasstransfer.2022.106347

Cited by 26 publications

(5 citation statements)

References 35 publications

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“…To keep surface stretched, two equal balanced forces are applied in opposite directions along the x− axis, and the origin is maintained fxed as shown in Figure 1. Te basic fundamental laws in component forms as per stated assumptions are [37][38][39]…”

Section: Mathematical Schemementioning

confidence: 99%

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Oblique Flow of Shear Thinning Fluid through an Absorptive Radiative Medium with Hall Effect

Rana

Mahmud

Mehmood

et al. 2023

Journal of Mathematics

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The assumption of Hall current and ion slip is extremely crucial in several industrial and manufacturing processes, such as MHD (magneto hydrodynamics) accelerators, preservation coils, transmission lines, electric converters, and heating elements. Keeping this in view, the main aim of this article is to present a computational analysis of MHD ion Hall current with nonlinear thermal radiation on the sloping flow of shear thinning fluid through a porous medium on a stretching sheet that allows fluid suction and injection. The major mathematical modelling of governed problems is converted into a system of nonlinear ODEs (ordinary differential equations) by means of appropriate similarity relations. The influence of all relative physical parameters on velocity and temperature is studied through graphs and discussed in a detailed physical manner. Some beneficial mathematical quantities from the practical engineering and industrial point of view, such as skin friction factor and heat transfer rate at the porous surface, are calculated numerically and presented through graphs. It has been observed that flow may become unstable when M is small and the existence of a magnetic field and a porous ground contributes to a highly rough flow over the stretching surface. Suction is actually a resistive force which results in higher skin friction that is beneficial in controlling flow separation. Temperature of the fluid rises with stronger magnetic field and higher thermal radiation effects. The local heat flux decreases as the magnetic field strength and permeability parameter increase.

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Section: Mathematical Schemementioning

confidence: 99%

“…J × B is defned as generalised Ohm's law, where J, σ, and E are the current density, electrical conductivity, and electric feld intensity, respectively. Equations ( 1)-( 8) are transformed into nondimensional form [37][38][39]:…”

Section: Mathematical Schemementioning

confidence: 99%

Oblique Flow of Shear Thinning Fluid through an Absorptive Radiative Medium with Hall Effect

Rana

Mahmud

Mehmood

et al. 2023

Journal of Mathematics

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“…Mahmud et al. [17] explored the Riga surface flow intended due to cross swimming of nanomaterials. Tabassum et al.…”

Section: Introductionmentioning

confidence: 99%

“…Liu et al [16] reported the radiative impact on nanofluid flow confining the improved thermal impact due to nanoparticles. Mahmud et al [17] explored the Riga surface flow intended due to cross swimming of nanomaterials. Tabassum et al [18] visualized the viscosity impact with Lorentz force interaction on nanofluids with viscoelastic base fluid.…”

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confidence: 99%

Development of convective heat transport in nanofluid flow of Oldroyd‐B model with magnetic dipole moment

Li,

Khan,

Al‐Khaled

et al. 2023

Z Angew Math Mech

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The phenomenon of heat as well as mass transfer due to ferromagnetic flow of Oldroyd‐B nanofluid is addressed. The additional thermal source like heat source, thermal radiation, and activation energy features has been implemented to extend the dynamic of flow problem. The source of flow is moving stretching surface with magnetic dipole impact. The convective boundary conditions are implemented. The Boungrino nanofluid model is used to observe the thermophoresis and Brownian motion consequences. The mathematical modeling of problem in view of flow assumptions will be converted into the non‐dimensional form. The numerical shooting technique will be implemented for presenting the approximate simulations. After verifying the solution accuracy, the physical dynamic of problem with variation of parameter is presented. It is noticed that the velocity profile reduces due to ferrohydrodynamic interaction parameter. An enhanced thermal profile is observed due to relaxation time constant and ferrohydrodynamic interaction parameter. Furthermore, the concentration profile reduces for retardation time constant parameter.

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“…A bio-nanofluid is a fluid that contains a base fluid, nanoparticles, and living microorganisms. Algae and oxytaxis bacteria are a couple of examples of microorganisms Mahmud et al [4]. Bioconvection is caused by microbes living in a fluid.…”

Section: Introductionmentioning

confidence: 99%

Insight into the dynamics of electro-magneto-hydrodynamic fluid flow past a sheet using the Galerkin finite element method: Effects of variable magnetic and electric fields

et al. 2022

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The aim of this work is to investigate the influence of Arrhenius activation energy and variable thermal conductivity with EMHD fluid flow over a nonlinearly radiating stretching sheet in a porous medium. The main objective of this research is to study the effects of variable electromagnetohydrodynamic (EMHD) on fluid flow motion. The significance of the combined effects of electric and magnetic fields is useful where one can create a strong Lorentz force for industry applications. The fundamental laws, that is, conservation of mass, momentum, and energy equations, are given in the form of partial differential equations (PDEs). The current fluid flow problem is not similar, which means that the presented solution is local. The introduction of nonsimilarity variables transforms PDEs into a set of coupled ODEs. The resultant ODEs are not only solved computationally by MATLAB built-in solver bvp4c but the solution is also obtained with other numerical schemes that include the shooting method and the finite element method (FEM). In applying FEM, we choose the Galerkin method in which the weight function is equal to the shape function. The aforementioned numerical methods are implemented and programmed in MATLAB. Graphs illustrate the effects of various parameters on the velocity, temperature, concentration, and microorganism profiles. Physical parameters measure the roughness of the sheet (skin friction coefficient), heat transfer rate at the sheet (local Nusselt number), the mass transfer rate of the concentration gradient (local Sherwood number), and transfer rate of microorganisms at the sheet (density of motile microorganism). The skin friction coefficient increases for higher values of (Kp) and magnetic parameters (M). The local Sherwood number decreases for different values of activation energy. An excellent agreement of FEM results with other numerical methods, shooting method, and bvp4c has been achieved. Moreover, for particular cases, the current results have a good agreement with the published work.

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Interaction of Lorentz force with cross swimming microbes in couple stress nano fluid past a porous Riga plate

Cited by 26 publications

References 35 publications

Oblique Flow of Shear Thinning Fluid through an Absorptive Radiative Medium with Hall Effect

Oblique Flow of Shear Thinning Fluid through an Absorptive Radiative Medium with Hall Effect

Development of convective heat transport in nanofluid flow of Oldroyd‐B model with magnetic dipole moment

Insight into the dynamics of electro-magneto-hydrodynamic fluid flow past a sheet using the Galerkin finite element method: Effects of variable magnetic and electric fields

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