Fluid flow along the Riga plate with the influence of magnetic force in a rotating system

Islam, Md. Minarul; Khatun, Sheela; Mollah, Md. Tusher; Alam, Mehtab

doi:10.1063/1.5115889

Cited by 6 publications

(10 citation statements)

References 6 publications

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“…Under the explications of the above-narrated assumptions, the prevailing BL equations (see, [12,21]) related to the rotating frame by the operation of BL approximations are noted as:…”

Section: Model Establishment and Analysismentioning

confidence: 99%

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EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

et al. 2021

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This study is performed on the numerical investigation of electro-magnetohydrodynamic (EMHD) radiating fluid flow nature along an infinitely long vertical Riga plate with suction in a rotating system. The prevailing equations are generated from the Navier–Stokes’ and energy equations. A uniform suction velocity is introduced to control the flow. The prevailing boundary layer (BL) equations are the stuff to delineate the mechanical features of the flowing nature along with the electromagnetic device (Riga plate). Accordingly, the use of usual transformations on the equations transformed those into a coupled dimensionless system of non-linear partial differential equations (PDEs). After conversion, the elucidation of the set of equations is conducted numerically by an explicit finite difference method (FDM). The criteria for stable and converging solutions are constructed to find restrictions on various non-dimensional parameters. The retrieved restrictions are $$P_{r} \ge 0.19,\,$$ P r ≥ 0.19 , $$R_{d} \ge 0.1,\,\,$$ R d ≥ 0.1 , $$S \ge 1,$$ S ≥ 1 , $$E_{c} = 0.01\,\,$$ E c = 0.01 and $$0 < R \le 0.1$$ 0 < R ≤ 0.1 . Furthermore, sensitivity tests on mesh and time as well as comparison within the literature have been demonstrated in graphical and tabular form. Finally, the important findings of the non-dimensional parameters influences have been portrayed in graphical manner by using the MATLAB R2015a tool. A substantial uprise is noted for both the velocities (secondary and primary) under the rising actions of the modified Hartmann number, whereas the suction parameter suppresses both the velocities.

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“…Under the explications of the above-narrated assumptions, the prevailing BL equations (see, [12,21]) related to the rotating frame by the operation of BL approximations are noted as:…”

Section: Model Establishment and Analysismentioning

confidence: 99%

“…Electrically conducting fluids in MHD flows have captivated many investigators for their medley applications in engineering assignments, see Refs. [4][5][6][7][8][9][10][11][12]. But unfortunately, a large electrical conductivity is not often contained by all the available fluids.…”

Section: Introductionmentioning

confidence: 99%

EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

et al. 2021

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“…xq Nu w w (13) where w  is the shear stress or skin friction and w q is the heat flux from the surface of the sheet which are defined as…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The fluid flows under the influence of magnetic force along the Riga plate have huge applications in engineering and biomechanics. To illustrate the characteristics of laminar fluid flow due to Riga plate have been carried out in various physical aspects such as Islam et al, [13] investigated the behavior of fluid flow with the presence of magnetic force in a rotating system on a Riga plate. Another study on the convective Casson fluid flow past a Riga plate was conducted by Loganathan and Deepa [14].…”

Section: Introductionmentioning

confidence: 99%

Radiative Boundary Layer Flow of Casson Fluid Over an Exponentially Permeable Slippery Riga Plate with Viscous Dissipation

Yusof

Soid

Illias

et al. 2020

ARASET

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This study is aimed to analyze the steady of stagnation point flow and radiative heat transfer of a non-Newtonian fluid which is Casson fluid passing over an exponentially permeable slippery Riga plate in presence of thermal radiation, magnetic field, velocity slip, thermal slip, and viscous dissipation effects. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformation then solved numerically by boundary value problem solver (BVP4C) in MATLAB software package. The numerical results are evaluated with previous researches to reach an agreement with the parameters of the current study. This study is discussing the behavior of the velocity and temperature profiles as well as skin friction coefficient and local Nusselt number for various physical parameters such as magnetic field, radiation, suction, thermal slip, velocity slip, Prandtl number, Eckert number and modified Hartmann number. Numerical results are shown graphically for each parameter with different values. It is found that the momentum boundary layer thickness increases with increasing the values of Casson parameter. The temperature decreases when the velocity slip parameter and thermal slip parameter are increased.

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“…The finite difference method (FDM) is chosen to solve the dimensionless system (5-9) subject to the boundary conditions (10 and 11). Many scholars use the same FDM numerical technique [19,20], as of them the division is made inside the area of boundary layer by the lines perpendicular to axes to make the wel-known mesh space as shown in Figure 2.…”

Section: Numerical Techniquementioning

confidence: 99%

MHD Generalized Couette Flow and Heat Transfer on Bingham Fluid Through Porous Parallel Plates

Mollah¹,

Islam²,

Khatun³

et al. 2019

MMEP

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Bingham fluid through porous parallel plates with Ion-slip and Hall currents has been studied numerically. The non-linear PDEs, governing the problem under assumptions, have been transformed into dimensionless non-linear PDEs by using usual transformations. The obtained dimensionless governing equations have been solved numerically by applying the explicit finite difference method (FDM) with the help of MATLAB R2015a tool. The time sensitivity test is performed for the steady-state solution and is obtained at dimensionless time τ=4.00. It is also observed that the secondary velocity reaches the steady-state more gradually than the primary velocity and temperature profiles. The appropriate mesh space (m=40 and n=40) is obtained by the mesh sensitivity test. The impact of various interesting parameters on the primary velocity, secondary velocity and temperature profiles, also on the local Nusselt number and shear stress have been analyzed and discussed through the graph in details. Finally, a qualitative and quantitative comparison with the published results has been discussed.

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Fluid flow along the Riga plate with the influence of magnetic force in a rotating system

Cited by 6 publications

References 6 publications

EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

Radiative Boundary Layer Flow of Casson Fluid Over an Exponentially Permeable Slippery Riga Plate with Viscous Dissipation

MHD Generalized Couette Flow and Heat Transfer on Bingham Fluid Through Porous Parallel Plates

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