Williamson Fluid Flow Behaviour of MHD Convective-Radiative Cattaneo–christov Heat Flux Type Over a Linearly Stretched-Surface With Heat Generation and Thermal-Diffusion

Khan, Md. Shakhaoath; Rahman, Md. Mizanur; Arifuzzaman, S. M.; Biswas, Parimal; Karim, Ifsana

doi:10.5098/hmt.9.15

Cited by 24 publications

(19 citation statements)

References 57 publications

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“…and Δτ = 0.001. Now equations (8)- (12) subjected to the boundary conditions (13)-(14) takes the following form after implementing finite difference analysis.…”

Section: Figure 1 Boundary Layer Flow Diagrammentioning

confidence: 99%

“…On the other hand, the Navier Stokes equations being less non-linear than that of non-Newtonian [2][3][4][5][6][7][8][9][10][11][12][13] governing equations, it is, sometimes, unlikely for the Navier Stokes balances to delineate the rheological properties of fluids. Also, to raze this impediment, the microrotation of the fluid particles is magnificently treated in modern research works.…”

Section: Introductionmentioning

confidence: 99%

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Energy and Magnetic Flow Analysis of Williamson Micropolar Nanofluid through Stretching Sheet

Rana¹,

Arifuzzaman²,

Reza‐E‐Rabbi³

et al. 2019

IJHT

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A mathematical framework has been designed to speculate the physical aspects of a binary chemical reaction (BCR) and Arrhenius activation energy (ACE) on magnetohydrodynamics Williamson micropolar nanofluid flow through a vertical stretching sheet. The fluid viscosity, electrical and thermal conductivity are presumed as reliant temperature function. Furthermore, the Lorentz force is deployed with an angle to the normal of the fluid flow. The natural transformations have been chosen to determine the non-dimensional regular expressions of the model. A conditionally stable finite difference analysis (explicit) is implemented to establish the computational analysis of the transfigured non-linear system of PDEs. The precision of the present numerical solution has been enriched by accomplishing analysis of stability as well as system convergence of finite difference analysis. The graphical representation, along with the tabular depiction, has been done for narrating the physical behaviour of important parameters extensively on various flow fields. The fluctuation of the boundary layer thickness is traced out with the assistance of streamlines, isotherms, and iso-concentration for the impression of the buoyancy ratio parameter and Lewis number. To draw perfection, achieved consequences of the current solution have been contrasted with some subsisting literature.

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“…and Δτ = 0.001. Now equations (8)- (12) subjected to the boundary conditions (13)-(14) takes the following form after implementing finite difference analysis.…”

Section: Figure 1 Boundary Layer Flow Diagrammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Energy and Magnetic Flow Analysis of Williamson Micropolar Nanofluid through Stretching Sheet

Rana¹,

Arifuzzaman²,

Reza‐E‐Rabbi³

et al. 2019

IJHT

Self Cite

View full text Add to dashboard Cite

show abstract

“…However, after a few years, due to wide applications of Williamson fluids in new world technology, especially in biological and industrial liquids, a large number of researchers have been engaged to inspect the Williamson fluids in different flow fields. For example, Sochi, Sacheti et al, Khan et al, Nadeem et al, Nadeem and Hussain, and Khan et al worked on Williamson fluid flow over stretching sheet. Also, Dapra and Scarpi and Vasudev et al discussed peristaltic motion of a Williamson fluid injected into a rock fracture and over a permeable surface, respectively.…”

Section: Introductionmentioning

confidence: 99%

Finite element method solution of mixed convection flow of Williamson nanofluid past a radially stretching sheet

Ibrahim

Gamachu

2019

Heat Trans

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This computation reports the mixed convection flow of Williamson fluid past a radially stretching surface with nanoparticles under the effect of first-order slip and convective boundary conditions. The coupled nonlinear ordinary differential equations (ODEs) are obtained from the partial differential equations, which are derived from the conservation of momentum, energy, and species. Then, utilizing suitable resemblance transformation, these ODEs were changed into dimensionless form and then solved numerically by means of a powerful numerical technique called the Galerkin finite element method. The effect of different parameters on velocity, temperature, and concentration profiles is inspected and thrashed out in depth by graphs and tables. The upshots exhibit that the velocity profile augments as the values of concentration buoyancy and mixed convection parameters are engorged. Also, the results demonstrated that both temperature and concentration profiles are improved with an enhancement in values of thermophoresis parameters. The outcomes also indicate that for finer values of magnetic field parameter and thermophoresis parameter, the numerical value of local Nusselt and Sherwood numbers is reduced. K E Y W O R D S finite element method, mixed convection flow, nanofluid, radially stretching surface, Williamson fluid

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“…Impressions of nanoparticles together with the characteristics of hydromagnetic Williamson fluid flow resulting from stretching surface has been explored by Venkataramanaiah et al [12]. Khan et al [13] analysed MHD convective radiative Cattaneo-Christov sort of heat flux for non-Newtonian fluid (Williamson). Kothandapani and Prakash [14] showed thermal radiation impacts with magnetic field on the peristaltic transport of Williamson nanofluid within a tapered asymmetric channel.…”

Section: Introductionmentioning

confidence: 99%

MHD Radiative Flow of Casson and Williamson Nanofluids over an Inclined Cylindrical Surface with Chemical Reaction Effects

Sarkar¹,

Reza‐E‐Rabbi²,

Arifuzzaman³

et al. 2019

IJHT

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This study exhibited the investigation of magnetohydrodynamics (MHD) boundary layer phenomenon of Casson and Williamson nanofluids, which was flowing on an inclined cylindrical surface. The impact of linear order chemical reaction with thermal radiation had been considered in multiphase flows. By taking the assistance of compact visual FORTRAN 6.6a programming algorithm, the finite scheme was imposed explicitly for attaining the dimensionless form of the fundamental equations. The convergence criterion had also been established for the exactness of the pertinent parameters. It was observed that the ongoing work converged for Lewis number 0.036 Le ≥ and Prandtl number Pr 0.52 ≥ . A tabular comparison had been presented to validate the numerical modelling, and a favourable result was attained. The obtained outcomes were analysed for diversified pertinent parameters on different flow fields. Besides, the influence of Casson and Williamson parameters were also displayed through streamlines and isotherms. However, this study investigated the fluid behavior of Lorentz force effects together with Nano-particle which increase the thermal conductivity of both fluids. The study has been done in two different phase of fluid flows. Finally, it was concluded that the mass and heat transform accomplishment of Williamson fluid was relatively lower compared to Casson fluid. The comparison was also done significantly through the updated visualisation of fluid flow in this study.

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Williamson Fluid Flow Behaviour of MHD Convective-Radiative Cattaneo–christov Heat Flux Type Over a Linearly Stretched-Surface With Heat Generation and Thermal-Diffusion

Cited by 24 publications

References 57 publications

Energy and Magnetic Flow Analysis of Williamson Micropolar Nanofluid through Stretching Sheet

Energy and Magnetic Flow Analysis of Williamson Micropolar Nanofluid through Stretching Sheet

Finite element method solution of mixed convection flow of Williamson nanofluid past a radially stretching sheet

MHD Radiative Flow of Casson and Williamson Nanofluids over an Inclined Cylindrical Surface with Chemical Reaction Effects

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