Perturbation technique for unsteady MHD mixed convection periodic flow, heat and mass transfer in micropolar fluid with chemical reaction in the presence of thermal radiation

Pal, Dulal; Talukdar, Babulal

doi:10.2478/s11534-012-0063-6

Cited by 15 publications

(19 citation statements)

References 31 publications

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“…This leads to an increase in momentum boundary layer thickness. A similar observation has been reported by Pal and Talukdar (2012). Increasing radiation-conduction parameter is also found to decrease temperatures in the boundary layer ( fig.…”

Section: Figsupporting

confidence: 89%

“…Magentomicropolar flow are therefore greatly relevant to such systems. Pal and Talukdar (2012) used a perturbation technique to investigate unsteady MHD mixed convection periodic flow, heat and mass transfer in micropolar fluid with chemical reaction in the presence of thermal radiation. Reddy (2012) investigated magnetohydrodynamic and unsteady convection flow of micropolar fluid past a vertical porous plate with variable wall heat flux and also studied an unsteady magnetohydrodynamic radiative-convective flow of a micropolar fluid past a vertical porous plate with variable heat and mass fluxes Reddy (2013).…”

Section: Introductionmentioning

confidence: 99%

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Computation of Unsteady MHD Mixed Convective Heat and Mass Transfer in Dissipative Reactive Micropolar Flow Considering Sorte and Dufour Effects

Shamshuddin¹,

Chamkha²,

Thumma³

et al. 2018

Frontiers in Heat and Mass Transfer

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In the current paper, a finite element computational solution is conducted for MHD double diffusive flow characterizing dissipative micropolar mixed convective heat and mass transfer adjacent to a vertical porous plate embedded in a saturated porous medium. The micropolar fluid is also chemically reacting, both Soret and Dufour effects and also heat absorption included. The governing partial differential equations for momentum, heat, angular momentum and species conservation are transformed into dimensionless form under the assumption of low Reynolds number with appropriate dimensionless quantities. The emerging boundary value problem is then solved numerically with an efficient computational finite element method employing the weighted residual approach. The influence of various emerging physical parameters like thermal Grashof number, solutal Grashof number, Magnetic body force parameter, permeability parameter, radiation parameter, heat absorption parameter, Eckert number, Schmidt number, Soret and Dufour effects and first order chemical reaction parameter are examined, we observed that the microrotation velocity profiles do not show uniform variations with Eringen vortex viscosity parameter and graphical results visualize the velocity of a Newtonian fluid is lower as compared with a micropolar fluid one. Furthermore, finite element code is benchmarked with the results reported in the literature to check the validity and accuracy under some limiting cases and excellent agreement is seen with published solutions. Finally, results of skin friction coefficient, couple stress coefficient, Nusselt number and Sherwood number for invoked parameter are tabulated which shows that Sherwood number is enhances with increasing Soret number and homogeneous chemical reaction. Nusselt number is increased with an increase of Eckert number and Dufour number.

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Section: Figsupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Computation of Unsteady MHD Mixed Convective Heat and Mass Transfer in Dissipative Reactive Micropolar Flow Considering Sorte and Dufour Effects

Shamshuddin¹,

Chamkha²,

Thumma³

et al. 2018

Frontiers in Heat and Mass Transfer

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show abstract

“…Bachok et al [5] considered flow of a micropolar fluid over an unsteady stretching sheet. Unsteady MHD mixed convection periodic flow of a micropolar fluid with thermal radiation and chemical reaction was examined by Pal and Talukdar [6]. They used a perturbation technique as the main tool to obtain solutions analytically.…”

Section: Introductionmentioning

confidence: 99%

Influence of micro-rotation and micro-inertia on nanofluid flow over a heated horizontal circular cylinder with free convection

Swalmeh¹,

Alkasasbeh²,

Hussanan³

et al. 2019

Theor appl mech (Belgr)

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The addition of nanoparticles into conventional heat transfer fluids is one of the modern science techniques that offer better heat transfer performance. However, micropolar fluid model is not considered under these nanoparticles effects. Therefore, the main objective of this study is to explore the nanofluids to understand the microstructure and inertial characteristics of nanoparticles. In this paper, heat transfer flow of a micropolar nanofluid mixture containing copper (Cu) and silver (Ag) nanoparticles is investigated over a heated horizontal circular cylinder. The dimensionless governing equations are solved via an implicit finite difference scheme known as Keller-box method. The results of the nanofluid mixture are compared with those with a Newtonian fluid. The effects of different parameters on velocity, angular velocity and temperature are examined graphically for both Cu/Ag-water and Cu/Ag-kerosene oil. Results show that the heat transfer coefficient of the Cu/Ag-kerosene oil nanofluid mixture is larger than that of the Cu/Ag-water nanofluid, when comparison is based on a fixed value of the micro-rotation parameter.

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“…Rout et al [21] employed a Runge-Kutta fourth order shooting technique to investigate the impact of chemical reaction on magnetohydrodynamic free convection flow in a micropolar fluid. Pal and Talukdar [22] used a perturbation technique to investigate time-dependent MHD mixed convection periodic flow, heat and mass transfer in micropolar fluid with chemical reaction in the presence of thermal radiation. Reddy [23] adopted perturbation technique to examine thermal radiation and chemical reaction effects on steady convective slip flow.…”

Section: Introductionmentioning

confidence: 99%

Unsteady reactive magnetic radiative micropolar flow, heat and mass transfer from an inclined plate with Joule heating: A model for magnetic polymer processing

Shamshuddin

Mishra

Bég

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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Magnetic polymer materials processing involves many multi-physical and chemical effects. Motivated by such applications, in the present work a theoretical analysis is conducted of combined heat and mass transfer in unsteady mixed convection flow of micropolar fluid over an oscillatory inclined porous plate in a homogenous porous medium with heat source, radiation absorption and Joule dissipation. A first order homogenous chemical reaction model is used. The transformed non-dimensional boundary value problem is solved using a perturbation method and Runge-Kutta fourth order numerical quadrature (shooting technique). The emerging parameters dictating the transport phenomena are shown to be the gyro-viscosity micropolar material parameter, magnetic field parameter, permeability of the porous medium, Prandtl number, Schmidt number, thermal Grashof number, species Grashof number, thermal radiation-conduction parameter, heat absorption parameter, radiation absorption parameter, Eckert number, chemical reaction parameter and Eringen coupling number (vortex viscosity ratio parameter). The impact of these parameters on linear velocity, microrotation (angular velocity), temperature and concentration are evaluated in detail. Results for skin friction coefficient, couple stress coefficient, Nusselt number and Sherwood number are also included. Couple stress is observed to be reduced with stronger magnetic field. Verification of solutions is achieved with earlier published analytical results.

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Perturbation technique for unsteady MHD mixed convection periodic flow, heat and mass transfer in micropolar fluid with chemical reaction in the presence of thermal radiation

Cited by 15 publications

References 31 publications

Computation of Unsteady MHD Mixed Convective Heat and Mass Transfer in Dissipative Reactive Micropolar Flow Considering Sorte and Dufour Effects

Computation of Unsteady MHD Mixed Convective Heat and Mass Transfer in Dissipative Reactive Micropolar Flow Considering Sorte and Dufour Effects

Influence of micro-rotation and micro-inertia on nanofluid flow over a heated horizontal circular cylinder with free convection

Unsteady reactive magnetic radiative micropolar flow, heat and mass transfer from an inclined plate with Joule heating: A model for magnetic polymer processing

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