A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate

Shahid, Nazish

doi:10.1186/s40064-015-1426-4

Cited by 34 publications

(13 citation statements)

References 38 publications

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“…How altering degree of radiation and temperature provision impacted flow dynamics along with properties of flow in porous medium were discussed by [33,34]. More recently, flow speed enhancing factors like induced shear on channel boundary was discussed in [35,36], through calculation of closed form solutions using fractional derivatives. Keeping the nature of polymeric fluids with memory effects in mind, the investigation of related fluid dynamics using slip boundary condition is considered to be imperative and has been discussed in our present article.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Study of Adversely Affecting Radiation and Temperature Parameters on a Magnetohydrodynamic Elasto-viscous Fluid

Shahid

2019

MCA

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An investigation of how the velocity of elasto-viscous fluid past an infinite plate, with slip and variable temperature, is influenced by combined thermal-radiative diffusion effects has been carried out. The study of dynamics of a flow model leads to the generation of characteristic fluid parameters ( G r , G m , M, F, S c and P r ). The interaction of these parameters with elasto-viscous parameter K ′ is probed to describe how certain parametric range and conditions could be pre-decided to enhance the flow speed past a channel. In particular, the flow dynamics’ alteration in correspondence to the slip parameter’s choice, along with temperature provision to the boundary in temporal pattern, is determined through uniquely calculated exact expressions of velocity, temperature and mass concentration of the fluid. The complex multi-parametric model has been analytically solved using the Laplace and Inverse Laplace transform. Through study of calculated exact expressions, an identification of variables, adversely (M, F, S c and P r ) and favourably ( G r and G m ) affecting the flow speed and temperature has been made. The accuracy of our results have also been tested by computing matching numerical solutions and by graphical reasoning. The verification of existing results of Newtonian fluid with varying boundary condition of velocity and temperature has also been completed, affirming the veracity of present results.

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Section: Introductionmentioning

confidence: 99%

An Analytical Study of Adversely Affecting Radiation and Temperature Parameters on a Magnetohydrodynamic Elasto-viscous Fluid

Shahid

2019

MCA

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“…Also, the effects of high temperature insulation and heat radiation in MHD nanofluids in porous medium were determined in [26,27]. Some interesting results were also added to the literature regarding studying the dynamics of fluids with varying viscosity through fractional derivative approach [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Resolution of coincident factors in altering the flow dynamics of an MHD elastoviscous fluid past an unbounded upright channel

Shahid

Tunç

2019

Journal of Taibah University for Science

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The influence of simultaneous variation of slip and temperature has been inquired for the case of free-convected flow of an MHD (magnetohydrodynamic), elastoviscous fluid past an unbounded upright plate. How the course of velocity is revamped in response to temperature alterations on boundary has been studied by considering two cases of constant temperature and variable temperature. The inverse and direct role of elastoviscous parameter (K), thermal Grashof number (G r ) and Hartmann number (M) in determining the pattern of flow has been discussed through exact expressions and graphical illustrations. Interestingly, a G r -regime has been identified corresponding to elastoviscous velocity variation. The Newtonian fluid velocity past an unbounded plate entailing slip factor has also been retrieved and compared with elastoviscous fluid velocity. This comparative analysis reflects on magnitude and profile adaptations in response to numerical changes.

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“…Ali et al [14] reported the conjugate effect of heat and mass transfer on time fraction convective flow of Brinkman type fluid using the Caputo approach. Shahid et al [15] investigated the approach of Caputo fractional derivatives to study the magnetohyrodynamic (MHD) flow past over an oscillating vertical plate along with heat and mass transfer. Recently, Caputo and Fabrizio (CF) have initiated a fractional derivative with no singular kernel [16].…”

Section: Introductionmentioning

confidence: 99%

Magnetite Molybdenum Disulphide Nanofluid of Grade Two: A Generalized Model with Caputo-Fabrizio Derivative

Ali¹,

Gohar²,

Khan³

et al. 2018

Microfluidics and Nanofluidics

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Heat and mass transfer analysis in magnetite molybdenum disulphide nanofluid of grade two is studied. MoS 2 powder with each particle of nanosize is dissolved in engine oil chosen as base fluid. A generalized form of grade-two model is considered with fractional order derivatives of Caputo and Fabrizio. The fluid over vertically oscillating plate is subjected to isothermal temperate and species concentration. The problem is modeled in terms of partial differential equations with sufficient initial conditions and boundary conditions. Fractional form of Laplace transform is used and exact solutions in closed form are determined for velocity field, temperature and concentration distributions. These solutions are then plotted for embedded parameters and discussed. Results for the physical quantities of interest (skin friction coefficient, Nusselt number and Sherwood number) are computed in tables. Results obtained in this work are compared with some published results from the open literature.

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A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate

Cited by 34 publications

References 38 publications

An Analytical Study of Adversely Affecting Radiation and Temperature Parameters on a Magnetohydrodynamic Elasto-viscous Fluid

An Analytical Study of Adversely Affecting Radiation and Temperature Parameters on a Magnetohydrodynamic Elasto-viscous Fluid

Resolution of coincident factors in altering the flow dynamics of an MHD elastoviscous fluid past an unbounded upright channel

Magnetite Molybdenum Disulphide Nanofluid of Grade Two: A Generalized Model with Caputo-Fabrizio Derivative

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