Analytical solutions for wall slip effects on magnetohydrodynamic oscillatory rotating plate and channel flows in porous media using a fractional Burgers viscoelastic model

Maqbool, Khadija; Bég, O. Anwar; Sohail, Ayesha; Idreesa, Shafaq

doi:10.1140/epjp/i2016-16140-5

Cited by 14 publications

(14 citation statements)

References 49 publications

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“…The above oscillatory studies all confirmed the considerable impact that oscillation frequency exerts on shear stress, wall heat transfer rates, and in some cases 46 also on vorticity fields. However, they did not consider species diffusion or the micropolar model.…”

Section: Introductionsupporting

confidence: 62%

“…These include Pan and Li, 40 Adesanya et al, 41 Bhargava et al 42 (who used FEMs and considered cross-diffusion), and Adesanya 43 who considered momentum slip effects at the wall and Rajesh et al 44 who considered hydromagnetic enrobing flow over a curved geometry with reactive and thermal oscillation behavior. Further studies include Adesanya et al 45 who considered viscous heating in pulsatile porous media pumping, Maqbool et al 46 who presented Fourier solutions to a family of oscillatory non-Newtonian ferromagnetic gel flows, Adesanya et al 47 who considered transient boundary conditions in magnetic heat transfer and Be´g et al 48 who developed network electro-thermal solutions for oscillatory heat transfer of magnetized polymers in a spinning channel.…”

Section: Introductionmentioning

confidence: 99%

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Oscillatory dissipative conjugate heat and mass transfer in chemically reacting micropolar flow with wall couple stress: A finite element numerical study

Shamshuddin

Sheri

Bég

2017

Proceedings of the Institution of Mechanical Engineers, Part E:

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High temperature non-Newtonian materials processing provides a stimulating area for process engineering simulation. Motivated by emerging applications in this area, the present article investigates the time-dependent free convective flow of a chemically-reacting micropolar fluid from a vertical plate oscillating in its own plane adjacent to a porous medium. Thermal radiative, viscous dissipation and wall couple stress effects are included. The Rosseland diffusion approximation is used to model uni-directional radiative heat flux in the energy equation. Darcy's model is adopted to mimic porous medium drag force effects. The governing twodimensional conservation equations are normalized with appropriate variables and transformed into a dimensionless, coupled, nonlinear system of partial differential equations under the assumption of low Reynolds number. The governing boundary value problem is then solved under physically viable boundary conditions numerically with a finite element method based on the weighted residual approach. Graphical illustrations for velocity, micro-rotation (angular velocity), temperature and concentration are obtained as functions of the emerging physical parameters i.e. thermal radiation, viscous dissipation, first order chemical reaction parameter etc. Furthermore, friction factor (skin friction), surface heat transfer and mass transfer rates have been tabulated quantitatively for selected thermo-physical parameters. A comparison with previously published paper is made to check the validity and accuracy of the present finite element solutions under some limiting cases and excellent agreement is attained. Additionally, a mesh independence study is conducted. The model is relevant to reactive polymeric materials processing simulation.

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Section: Introductionsupporting

confidence: 62%

Section: Introductionmentioning

confidence: 99%

Oscillatory dissipative conjugate heat and mass transfer in chemically reacting micropolar flow with wall couple stress: A finite element numerical study

Shamshuddin

Sheri

Bég

2017

Proceedings of the Institution of Mechanical Engineers, Part E:

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“…Akbar et al (2016) considered momentum and thermal slip effects on ciliated channel magnetic physiological flow. Maqbool et al (2016) investigated hydrodynamic wall slip effects on several rotating and oscillatory hydromagnetic non-Newtonian porous media channel flows. Turkyilmazoglu (2015) studied hydrodynamic and thermal slip effects on transport in a wedge nozzle (converging channel), deriving unique, double, or triple solutions and showing that these are strongly dependent on the slip effects.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Bioconvection Nanofluid Flow from a Bi-Axial Stretching Sheet with Anisotropic Slip

Amirsom¹,

Uddin²,

Basir³

et al. 2019

JSM

Self Cite

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A theoretical study is presented for three-dimensional flow of bioconvection nanofluids containing gyrotactic microorganisms over a bi-axial stretching sheet. The effects of anisotropic slip, thermal jump and mass slip are considered in the mathematical model. Suitable similarity transformations are used to reduce the partial differential equation system into a nonlinear ordinary differential system. The transformed nonlinear ordinary differential equations with appropriate transformed boundary conditions are solved numerically with the bvp4c procedure in the symbolic software, MATLAB. The mathematical computations showed that an increase in Brownian motion parameter corresponds to a stronger thermophoretic force which encourages transport of nanoparticles from the hot bi-axial sheet to the quiescent fluid. This increases the nanoparticle volume fraction boundary layer. Fluid temperature and thermal boundary layer thickness are decreased with increasing stretching rate ratio of the bi-axial sheet. The present simulation is of relevance in the fabrication of bio-nanomaterials and thermally-enhanced media for bio-inspired fuel cells.

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“…These three types of fractional ADEs have been used increasingly in the modelling of physical phenomena. Fractional ADEs are more proper for describing some phenomena such as anomalous diffusions, which arise in complex dynamics, transport of passive tracers carried by fluid flow in porous mediums,() velocity of particle motion in blood flow or underground water, etc. Various methods have been developed for solving fractional ADEs.…”

Section: Introductionmentioning

confidence: 99%

A collocation method of lines for two‐sided space‐fractional advection‐diffusion equations with variable coefficients

Almoaeet

Shamsi

Khosravian-Arab

et al. 2019

Math Methods in App Sciences

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We present the method of lines (MOL), which is based on the spectral collocation method, to solve space‐fractional advection‐diffusion equations (SFADEs) on a finite domain with variable coefficients. We focus on the cases in which the SFADEs consist of both left‐ and right‐sided fractional derivatives. To do so, we begin by introducing a new set of basis functions with some interesting features. The MOL, together with the spectral collocation method based on the new basis functions, are successfully applied to the SFADEs. Finally, four numerical examples, including benchmark problems and a problem with discontinuous advection and diffusion coefficients, are provided to illustrate the efficiency and exponentially accuracy of the proposed method.

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Analytical solutions for wall slip effects on magnetohydrodynamic oscillatory rotating plate and channel flows in porous media using a fractional Burgers viscoelastic model

Cited by 14 publications

References 49 publications

Oscillatory dissipative conjugate heat and mass transfer in chemically reacting micropolar flow with wall couple stress: A finite element numerical study

Oscillatory dissipative conjugate heat and mass transfer in chemically reacting micropolar flow with wall couple stress: A finite element numerical study

Three-Dimensional Bioconvection Nanofluid Flow from a Bi-Axial Stretching Sheet with Anisotropic Slip

A collocation method of lines for two‐sided space‐fractional advection‐diffusion equations with variable coefficients

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