Thermo-Diffusion and Multislip Effects on MHD Mixed Convection Unsteady Flow of Micropolar Nanofluid over a Shrinking/Stretching Sheet with Radiation in the Presence of Heat Source

Abdal, Sohaib; Ali, Bagh; Younas, Saba; Ali, Liaqat; Mariam, Amna

doi:10.3390/sym12010049

Cited by 82 publications

(32 citation statements)

References 45 publications

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“…The characteristics of the current results and the assessment of flow velocity have been done by the accurate results that consent the validity of the finite element technique. Table 3 describes the results of the heat transfer rate attained by FEM which is compared to the results of earlier studies and the exact solutions [35,[48][49][50][51]. An excellent correlation was achieved and a grid invariance test was conducted to maintain four decimal points of accuracy.…”

Section: Resultsmentioning

confidence: 93%

“…The corresponding finite element approximation over the three noded quadratic element (ζ b , ζ b+1 ) which is obtained from the Equations (31)- (35) is as follows…”

Section: Finite Element Formulationmentioning

confidence: 99%

“…Abbas et al [34] premeditated the impacts of radiation in the existence of a similar magnetic field for nano-fluids on a frizzed stretching sheet by assimilating the consequences of slip. Sohaib Abdal et al [35] inspected the multislip effects on the magnetohydrodynamics mixed convection unsteady flow of micropolar nanofluid over a stretching/shrinking sheet in the presence of heat source and radiation.…”

Section: Introductionmentioning

confidence: 99%

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The Impact of Nanoparticles Due to Applied Magnetic Dipole in Micropolar Fluid Flow Using the Finite Element Method

et al. 2020

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The present work examines the effect of different magnetic nanoparticles and the heat transfer phenomena over the stretching sheet with thermal stratification and slips effect. The mixture of water (H 2 O) and ethylene glycol (C 2 H 6 O 2 ) is used as base fluid whereas the paramagnetic, diamagnetic, and ferromagnetic ferrites are taken as nanoparticles. In the presence of ferrite nanoparticles, the magnetic dipole has a significant effect in controlling the rate of heat transfer and the thermal boundary layers. By using suitable similarity transformations, the system of partial differential equations is transformed into nonlinear ordinary differential equations. The numerical solution of resulting equations is found out by using the variational finite element method. The effect of numerous emerging parameters on velocity, temperature, and micro-rotation velocity are represented graphically and analyzed numerically. It has been noticed that comparatively the diamagnetic ferrites have gained maximum thermal conductivity relative to the other nanoparticles. It was also observed that the thermal conduction of nanoparticles increases with the variation of volume fraction. Moreover, with increasing values of thermal stratification the thermal boundary layer thickness decreases and the heat transfer rate increases at the surface. Furthermore, the validation of code and the accuracy of the numerical technique has been confirmed by the assessment of current results with earlier studies.

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Section: Resultsmentioning

confidence: 93%

“…The corresponding finite element approximation over the three noded quadratic element (ζ b , ζ b+1 ) which is obtained from the Equations (31)- (35) is as follows…”

Section: Finite Element Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Impact of Nanoparticles Due to Applied Magnetic Dipole in Micropolar Fluid Flow Using the Finite Element Method

et al. 2020

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“…Sarafraz et al [31] conducted an experimental study to quantify the heat transfer coefficient, thermal resistance and the thermal performance of a thermosyphon heat pipe charged with zirconia-acetone nanofluid. Sohaib et al [32] investigated the multislip impacts of a magneto-hydrodynamic mixed convection unsteady flow of micropolar nanofluid through a stretching sheet on radiation and the heat source. Uddin et al [33] deliberated whether free convective boundary layer flow of nanofluid through an infiltrate would be able to ascend a horizontal plate in permeable medium under thermal convective boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

2020

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In this mathematical study, magnetohydrodynamic, time-independent nanofluid flow over a stretching sheet by using the Cattaneo-Christov heat flux model is inspected. The impact of the thermal, solutal boundary and gravitational body forces with the effect of double stratification on the mass flow and heat transfer phenomena is also observed. The temperature-dependent viscosity impact on heat transfer through a moving sheet with capricious heat generation in nanofluids have studied, and the viscosity of the fluid is presumed to deviate as the inverse function of temperature. With the appropriate transformations, the system of partial differential equations is transformed into a system of nonlinear ordinary differential equations. By applying the variational finite element method, the transformed system of equations is solved. The properties of the several parameters for buoyancy, velocity, temperature, stratification, and Brownian motion parameters have examined. The enhancement in the concentration and thermal boundary layer thickness of the nanofluid sheet due to the increment in the viscosity parameter, also increased the temperature and concentration of nanoparticles. Moreover, the fluid temperature declined with the increasing values of thermal relaxation parameter. This displays that the Cattaneo-Christov heat flux model provides a better assessment of temperature distribution. Moreover, confirmation of the code and precision of the numerical method has inveterate with the valuation of the presented results with previous studies.

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“…The non-Newtonian liquids, including paints, colloidal and organic fluids, biopolymers, and food industry. Many researchers utilized different geometries to investigate several aspects of non-Newtonian fluid like Casson flow over a radially stretching sheet [8], Maxwell fluid [9], Micropolar Nanofluid [10], and Casson Nano-Fluid [11]. Nandy et al [12] presented a study to investigate the impacts of velocity slip on nanofluid along with extending surface.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Study of MHD Impacts on the Rotating Flow of Casson Nanofluid with the Double Diffusion Cattaneo—Christov Heat Flux Model

et al. 2020

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A study for MHD (magnetohydrodynamic) impacts on the rotating flow of Casson nanofluids is considered. The concentration and temperature distributions are related along with the double diffusion Cattaneo–Christov model, thermophoresis, and Brownian motion. The governing equations in the 3D form are changed into dimensionless two-dimensional form with the implementation of suitable scaling transformations. The variational finite element procedure is harnessed and coded in Matlab script to obtain the numerical solution of the coupled nonlinear partial differential problem. The variation patterns of Sherwood number, Nusselt number, skin friction coefficients, velocities, concentration, and temperature functions are computed to reveal the physical nature of this examination. It is seen that higher contributions of the magnetic force, Casson fluid, and rotational fluid parameters cause to raise the temperature like thermophoresis and Brownian motion does but causes slowing the primary as well as secondary velocities. The FEM solutions showing an excellent correlation with published results. The current study has significant applications in the biomedical, modern technologies of aerospace systems, and relevance to energy systems.

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Thermo-Diffusion and Multislip Effects on MHD Mixed Convection Unsteady Flow of Micropolar Nanofluid over a Shrinking/Stretching Sheet with Radiation in the Presence of Heat Source

Cited by 82 publications

References 45 publications

The Impact of Nanoparticles Due to Applied Magnetic Dipole in Micropolar Fluid Flow Using the Finite Element Method

The Impact of Nanoparticles Due to Applied Magnetic Dipole in Micropolar Fluid Flow Using the Finite Element Method

Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

Finite Element Study of MHD Impacts on the Rotating Flow of Casson Nanofluid with the Double Diffusion Cattaneo—Christov Heat Flux Model

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