Finite Difference Analysis of Unsteady MHD Free Convective Flow over Moving Semi-Infinite Vertical Cylinder with Chemical Reaction and Temperature Oscillation Effects

Rajesh, V.; Anwar, Beg O.; Sridevi, Ch.

doi:10.18869/acadpub.jafm.68.224.23989

Cited by 12 publications

(6 citation statements)

References 26 publications

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“…39 Many insightful investigations have been reported concerning oscillatory transport phenomena. 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: Introductionmentioning

confidence: 99%

“…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.…”

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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“…By putting the nondimensional quantities of (6) (Sadia et al [3]) into the Equations (1) to (4) along with (5), then we obtain the following no-dimensional Equations (7) to (10) with boundary conditions (11).…”

Section: Mathematical Modelmentioning

confidence: 99%

Study on Periodic MHD Flow with Temperature Dependent Viscosity and Thermal Conductivity past an Isothermal Oscillating Cylinder

Ahmed¹,

Uddin²,

Rana³

et al. 2016

WJM

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Temperature dependent viscosity and thermal conducting heat and mass transfer flow with chemical reaction and periodic magnetic field past an isothermal oscillating cylinder have been considered. The partial dimensionless equations governing the flow have been solved numerically by applying explicit finite difference method with the help Compaq visual 6.6a. The obtained outcome of this inquisition has been discussed for different values of well-known flow parameters with different time steps and oscillation angle. The effect of chemical reaction and periodic MHD parameters on the velocity field, temperature field and concentration field, skin-friction, Nusselt number and Sherwood number have been studied and results are presented by graphically. The novelty of the present problem is to study the streamlines by taking into account periodic magnetic field.

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“…Butt et al [4] investigated the effects of magnetic fields on the production of entropy in viscous flow over a stretching cylinder. Rajesh et al [5] scrutinized the effects of chemical reaction on time-dependent free convection flow of a viscous fluid over an infinite stretching cylinder. Hayat et al [6] investigated the double stratification effects in a mixed convection flow of Jeffrey fluid into an inclined stretching cylinder.…”

Section: Introductionmentioning

confidence: 99%

Convective transport of thermal and solutal energy in unsteady MHD Oldroyd-B nanofluid flow

Yasir¹,

Khan²,

Ahmed³

et al. 2021

Phys. Scr.

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In this work, an analysis is presented for the unsteady axisymmetric flow of Oldroyd-B nanofluid generated by an impermeable stretching cylinder with heat and mass transport under the influence of heat generation/absorption, thermal radiation and first-order chemical reaction. Additionally, thermal and solutal performances of nanofluid are studied using an interpretation of the well-known Buongiorno's model, which helps us to determine the attractive characteristics of Brownian motion and thermophoretic diffusion. Firstly, the governing unsteady boundary layer equation's (PDEs) are established and then converted into highly non-linear ordinary differential equations (ODEs) by using the suitable similarity transformations. For the governing non-linear ordinary differential equations, numerical integration in domain [0, ∞) is carried out using the BVP Midrich scheme in Maple software. For the velocity, temperature and concentration distributions, reliable results are prepared for different physical flow constraints. According to the results, for increasing values of Deborah numbers, the temperature and concentration distribution are higher in terms of relaxation time while these are decline in terms of retardation time. Moreover, thermal radiation and heat generation/absorption are increased the temperature distribution and corresponding boundary layer thickness. With previously stated numerical values, the acquired solutions have an excellent accuracy.

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Finite Difference Analysis of Unsteady MHD Free Convective Flow over Moving Semi-Infinite Vertical Cylinder with Chemical Reaction and Temperature Oscillation Effects

Cited by 12 publications

References 26 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

Study on Periodic MHD Flow with Temperature Dependent Viscosity and Thermal Conductivity past an Isothermal Oscillating Cylinder

Convective transport of thermal and solutal energy in unsteady MHD Oldroyd-B nanofluid flow

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