Non-isothermal Bingham fluid flow between two horizontal parallel plates with Ion-slip and Hall currents

Mollah, Md. Tusher; Poddar, Saykat; Islam, Md. Minarul; Alam, Mehtab

doi:10.1007/s42452-020-04012-2

Cited by 8 publications

(6 citation statements)

References 30 publications

(52 reference statements)

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“…The dimensionless variables are substituted into the nonlinear differential equations ( 1)-( 4) with boundary conditions equation ( 5) which are then reduced to ordinary differential equations ( 7)- (10) with boundary conditions equation ( 11) of dimension one. Then transform the obtained dimensionless ordinary differential equations with boundary conditions into the problems with initial conditions by means of shooting procedure, after that solve them with initial conditions by applying fourth fifth ordered Runge-Kutta-Fehlberg method and to attain the numerical results.…”

Section: Entropy Generation and Bejan Numbermentioning

confidence: 99%

“…Nazeer et al 9 scrutinized the planar Couette and generalized Couette flow of Eyring-Powell fluid in the permeable medium. The Couette flow through an isothermal channel with constant pressure gradient has been investigated by Tushar et al 10 In their work, the mathematical model for the flow of Bingham fluid in a channel has been formulated by the generalized Newtonian fluid.…”

Section: Introductionmentioning

confidence: 99%

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Planar Couette flow of power law nanofluid with chemical reaction, nanoparticle injection and variable thermal conductivity

Soumya

Gireesha

Venkatesh

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This article presents the transport of thermal energy and mass in the mixed convection steady planar Couette flow of power-law nanofluid with variable thermal conductivity through a permeable microchannel. The entropy production deliberation here is to investigate the irreversibility aspects. The momentum equation has been made by the permeability of the porous medium, Hall current effect, thermal, and solutal bouncy force. The mathematical model for the thermal energy has been formulated by Ohmic dissipation, Brownian motion, temperature-dependent thermal conductivity, and thermophoresis. The microchannel boundaries retain the no-slip boundary conditions. The concentration formulation has been made by nanoparticle injection rate and chemical reaction. The momentum, energy, and solutal formulations have been numerically cracked by means of Runge–Kutta–Fehlberg fourth fifth-order numerical procedure. The applied Hall current effect generates the fluid flow in the transverse direction. The flow along both axial and transverse direction enhances with thermal and solutal Grashof number and diminutions with permeability of the porous medium. Optimum magnitude of thermophoresis and Brownian motion amplifies the thermal energy of the shear thinning fluid. Concentration field exhibits the opposite nature with the nanoparticle injection rate parameter and chemical reaction parameter. Hall current parameter enhances the irreversibility of the Newtonian nanofluid.

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Section: Entropy Generation and Bejan Numbermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Planar Couette flow of power law nanofluid with chemical reaction, nanoparticle injection and variable thermal conductivity

Soumya

Gireesha

Venkatesh

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The discretization of the system of coupled non-dimensional PDEs (Eqs. 7-9) has been accomplished in both time and space by the explicit FDM [7,48]. Time-dependent iterative computations are reckoned to find the values of the set of finite difference equations that are gained by the use of MATLAB simulations.…”

Section: Numerical Computation Techniquementioning

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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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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“…[31][32][33][34]. Further, the EFDM schemes have been taken by many researchers [35][36][37][38] to analyze multifarious geometries of flow under different circumstances.…”

Section: Introductionmentioning

confidence: 99%

Transient MHD Radiative Fluid Flow over an Inclined Porous Plate with Thermal and Mass Diffusion: An EFDM Numerical Approach

Alam¹,

Poddar²,

Karim³

et al. 2021

MMEP

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This research aims to delve into the transient MHD flow over a porous plate having an inclination, with heat and mass diffusion by taking the radiative phenomenon into consideration. The flow controlling equations of continuity, momentum, energy, and concentration are developed using the boundary layer approximations. The radiative flux is described using a differential approximation. The governing time-dependent equations are brought into a conversion to create a system of non-dimensional partial differential equations (PDEs). Numerical schemes approaching the explicit finite difference method (EFDM) are employed to discretize and reckon the equations in dimensional agreement. Stability and convergence checking are prepared to ensure the converging restrictions of pertinent parameters. The profiles of velocity, concentration, and temperature have been illustrated graphically and discussed comprehensively.

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Non-isothermal Bingham fluid flow between two horizontal parallel plates with Ion-slip and Hall currents

Cited by 8 publications

References 30 publications

Planar Couette flow of power law nanofluid with chemical reaction, nanoparticle injection and variable thermal conductivity

Planar Couette flow of power law nanofluid with chemical reaction, nanoparticle injection and variable thermal conductivity

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

Transient MHD Radiative Fluid Flow over an Inclined Porous Plate with Thermal and Mass Diffusion: An EFDM Numerical Approach

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