Magnetohydrodynamic Fluctuating Free Convection Flow of Second-Grade Fluid Flow in a Porous Medium

Ali, Gulzar; Khan, Md. Mobarak Hossain; Gohar, Madeha

doi:10.1155/2021/6648281

Cited by 6 publications

(4 citation statements)

References 40 publications

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“…Some of the work on Jeffrey fluid are of Das [4] and Qasim [5]. Ali et al [6] discussed the magnetohydrodynamic fluctuating free convection flow of incompressible electrically conducting viscoelastic fluid in a porous medium in the presence of a pressure gradient. Shah et al [7] worked on the new semi analytical technique for the solution of fractional Order Navier Stokes equation.…”

Section: Introductionmentioning

confidence: 99%

Effect of Diffusion-Thermo on MHD Flow of a Jeffrey Fluid Past an Exponentially Accelerated Vertical Plate with Chemical Reaction and Heat Generation

Shafique

Nisa

Asjad

et al. 2022

Mathematical Problems in Engineering

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In many flow phenomenons of fluid with medium molecular weight, the energy flux is effected due to the inhomogeneity of concentration of mass. This contribution of the concentration to the energy flux is considered as diffusion-thermo effect or Dufour effect. In this research article the diffusion-thermo effect is addressed for the magnetohydrodynamics (MHD) flow of Jeffrey’s fractional fluid past an exponentially accelerated vertical plate with generalized thermal and mass transports through a porous medium. For the generalization of the thermal and mass fluxes the constant proportional Caputo (CPC) fractional derivative is utilized. The governing of this generalized flow are reduced to non-dimensional forms and then solved semi analytically by Laplace transform. In additions the physical aspects of flow and material parameters especially the effect of D u and fractional parameters are discussed by sketching the graphs. From the graphical illustration, it is concluded that in the presence of Dufour effect flow speeds up. Moreover, a comparison between fractionalized and ordinary velocity fields is also drawn and it is also observed that fractional model with constant proportional derivative is of the more decaying nature as compare to the model contracted with classical Caputo and Caputo fractional derivatives.

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Section: Introductionmentioning

confidence: 99%

Effect of Diffusion-Thermo on MHD Flow of a Jeffrey Fluid Past an Exponentially Accelerated Vertical Plate with Chemical Reaction and Heat Generation

Shafique

Nisa

Asjad

et al. 2022

Mathematical Problems in Engineering

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“…It is utilized in chemical industry for filtration, separation, and purification processes which involve the interaction of electric or magnetic field with hydrodynamic boundary layers. Analytical results including porous and MHD terms in second-grade fluid are acquired by Ali et al [10], where there exists the magnetohydrodynamic fluctuating free convection flow of incompressible electrically conducted viscoelastic fluid in a porous medium in the presence of a pressure gradient. Salah [11] analysed the rotationally accelerated fluid and found that variable and constant accelerated MHD flow behave equivalently.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Heat and Mass Transfer of Fractionalized MHD Second-Grade Fluid over Nonlinearly Moving Porous Plate

Jamil

Ahmed

Khan

et al. 2022

Mathematical Problems in Engineering

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This study investigates the heat and mass transfer in the MHD flow of fractionalized second-grade fluid induced by impulsively moved bottom porous plate with nonlinear velocity of the magnitude KTD. To acquire the fractionalized nondimensional set of flow administering differential equations, fractional calculus and dimensionless variables are considered. The solution process utilizes Laplace transform and results in the acquired outputs in terms of generalized functions. The exact solutions for concentration, temperature, velocity, and the shear stress are then reduced by certain limits into fractional/traditional second-grade and Newtonian fluids as per the special cases within and out of the magnetic and porous effects. It is observed that these special cases occur in the previous published literature which verify the results of this study. The results are pictorially visualized to perform the analysis for impacts of diverse physical parameters and dimensionless quantities on concentration, temperature, and velocity fields. It is learned from the analysis that magnitude of viscoelastic parameter is directly proportional to velocity whereas the porous and magmatic effects are inversely proportional. Increasing fractional parameter values reduce flow fields of velocity and temperature. Effects of dimensionless parameters for heat and mass transfer are analysed in detail.

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“…Recently, Rajakumar et al 32 examined the Dufour effects on unsteady flow past an impulsively started infinite vertical plate in a porous medium using Walters

B^{\prime}

model. Further, Ali et al 33 studied the fluctuating free convective flow of second‐grade fluid in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Unsteady thermally radiative and chemically reactive viscoelastic fluid flow past a vertical porous plate with a heat source

Muduly

Swain²,

Rath

et al. 2022

Heat Trans

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An analytical study is performed to investigate the thermal radiation effect on the unsteady two‐dimensional magnetohydrodynamic flow of a viscoelastic incompressible fluid (Walters B false′ $B^{\prime} $ fluid model) along an infinite hot vertical sheet embedded in a porous medium. Further, the addition of a heat source in the energy equation as well as a chemical reaction in the concentration equation renders the present analysis realistic in the field of engineering and technology. The governing equations of mass, momentum, energy, and concentration are solved with successive perturbation techniques. The effects of pertinent parameters on fluid velocity, temperature, concentration, and bounding surface coefficients are shown graphically and in tabular form. The salient feature of the present study is to impose control on magnetic field strength vis‐à‐vis electromagnetic force by regulating voltage in the electric circuit. The important findings are: the elasticity property of the fluid is more sensitive to heated bounding surface consequently free convection current in enhancing the velocity near the plate than the inherent property viscosity. This outcome contributes to the design requirement to control the flow near the heated surface, higher values of frequency parameters contribute to the attainment of a free stream state in temperature distribution. Besides the aforesaid outcome, the present model is conducive to thinning of boundary layer as the elasticity, magnetic as well as free convection parameters enhance the force coefficients at the bounding surface.

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Magnetohydrodynamic Fluctuating Free Convection Flow of Second-Grade Fluid Flow in a Porous Medium

Cited by 6 publications

References 40 publications

Effect of Diffusion-Thermo on MHD Flow of a Jeffrey Fluid Past an Exponentially Accelerated Vertical Plate with Chemical Reaction and Heat Generation

Effect of Diffusion-Thermo on MHD Flow of a Jeffrey Fluid Past an Exponentially Accelerated Vertical Plate with Chemical Reaction and Heat Generation

Analysis of Heat and Mass Transfer of Fractionalized MHD Second-Grade Fluid over Nonlinearly Moving Porous Plate

Unsteady thermally radiative and chemically reactive viscoelastic fluid flow past a vertical porous plate with a heat source

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