Numerical and Analytical Investigation for Darcy-Forchheimer Flow of a Williamson Fluid over a Riga Plate with Double Stratification and Cattaneo-Christov Dual Flux

Eswaramoorthi, S.; Alessa, Nazek; Sangeethavaanee, M.; Namgyel, Ngawang

doi:10.1155/2021/1867824

Cited by 10 publications

(3 citation statements)

References 33 publications

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“…It has been noticed that the velocity is increased with the increase of the Forchheimer parameter; this is due to favorable inertia forces inside the solid matrix . this behavior was reported by Eswaramoorthi et al 17 Figure 3 shows the boundary layer velocity profiles for different Darcy parameter ζ x at constant values of (λ x = 0.2, β x = 0.2, ε = 0.7). It is clear that the velocity is increased with the increase of the Darcy parameter, which is due to the large pores of the solid matrix.…”

Section: Resultssupporting

confidence: 81%

Forced convection heat transfer of Williamson fluid flow in porous media over horizontal plate with constant heat flux

et al. 2022

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Forced convection of Williamson fluid flow in porous media under constant surface heat flux conditions is investigated numerically. A model of Darcy–Forchheimer–Brinkman is used and the corresponding governing equations are expressed in dimensionless forms and solved numerically using bvp4c with MATLAB package. Boundary layer velocity, shear stress, and temperature profiles, in addition to the local Nusselt number parameter over a horizontal plate, are found. The effects of the Forchheimer parameter, Nusselt number, Darcy parameter, porous inertia, and Williamson parameter on the velocity profiles, temperature profiles, coefficient of friction, and coefficient of heat transfer are investigated. The results showed that as the Darcy parameter increases, boundary layer velocity and shear stress increase, while the temperature and Nusselt number decrease. In addition, as Williamson's parameter increases, velocity within the boundary layer, shear stress, and Nusselt number decrease while the temperature profile increases. Also, with larger values of the Forchheimer parameter, the velocity of the boundary layer, shear stress, temperature, and Nusselt number increase. Furthermore, the Nusselt number and the coefficient of friction are obtained on the surface of the horizontal plate.

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Section: Resultssupporting

confidence: 81%

Forced convection heat transfer of Williamson fluid flow in porous media over horizontal plate with constant heat flux

et al. 2022

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“…The HAM solutions contain the auxiliary parameters (h f , h g , and h θ ), and these act as a key role for solution convergence (see Eswaramoorthi et al [54] and Loganathan et al [55]). In SWCNTs, the range values are…”

Section: Entropy Analysismentioning

confidence: 99%

Darcy‐Forchheimer 3D Flow of Glycerin‐Based Carbon Nanotubes on a Riga Plate with Nonlinear Thermal Radiation and Cattaneo‐Christov Heat Flux

Eswaramoorthi¹,

Loganathan

Jain

et al. 2022

Journal of Nanomaterials

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The current investigation deliberates the consequence of the glycerin-based carbon nanotubes with velocity slip in Darcy-Forchheimer porous medium on a convectively heated Riga plate. The Fourier heat flux theory was replaced by the Cattaneo-Christov theory. Moreover, nonlinear facets of radiation are also included in the energy expression, and this creates the energy expression which becomes highly nonlinear. The governing flow problems are altered into an ODE model with the help of suitable variables. The reduced models are solved numerically by applying MATLAB bvp4c theory and analytically by HAM idea. The impact of diverse physical parameters on velocity, temperature, skin friction coefficients, local Nusselt number, entropy generation, and Bejan number are scrutinized through tables and graphs. It is seen that both directions of fluid motion elevate when raising the modified Hartmann number, and it diminishes when escalating the quantity of the Forchheimer number and porosity parameter. The fluid warmth grows when the higher magnitude of the Biot number and heat generation/consumption parameter, and it downturns when enriching the thermal relaxation time parameter. The entropy generation slumps when heightening the slip parameter, whereas it improves when rising the radiation parameter. The Bejan number upturns when upgrading the Biot number and heat generation/consumption parameter.

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“…Alam et al, [13] used a computational approach to address transient MHD radiative fluid flow via an inclined passable plate. Eswaramoorthi et al, [14] published a numerical and analytical investigation that addressed the Darcy-Forchheimer motion of Williamson fluid over a Riga plate. Akaje et al, [15] used a spectral collocation approach to investigate the impact of a non-uniform heat source and melting heat on a Casson nanofluid across a Riga plate.…”

Section: Introductionmentioning

confidence: 99%

Double-Diffusive Nonlinear Buoyancy Force Significance on Free Convective Chemically Reacting Fluids Flow Past Vertical Riga Surface

Toyin Wasiu Akaje,

Michael Adesola Taiwo,

Bakai Ishola Olajuwon

et al. 2023

ARFMTS

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In this research, double-diffusive nonlinear buoyancy force effects on free convective chemically reacting fluids flow past a vertical plate in a Riga surface have been addressed numerically. Cattaneo-Christov theories, viscous dissipation, thermal radiation, thermophoresis and the Soret-Dufour mechanism were modelled in this paper. Also, thermal radiative heat flux was considered based on the Rosseland approximation because the fluid is optically thin. The flow equations were represented using partial differential equations (PDEs). These sets of PDEs were transformed into ordinary differential equations by utilizing suitable similarity variables. The transformed flow equations were numerically solved by employing the spectral collocation method. The outcomes show that enhancement in the velocity and temperature are observed due to an increase in Eckert number, thermal radiation and heat generation parameters. An increase in the relaxation heat and mass flux is noticed to have effects on the concentration and temperature gradient due to the presence of Soret-Dufour mechanisms. The present outcomes were compared with previously published works and are found to be in good agreement.

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Numerical and Analytical Investigation for Darcy-Forchheimer Flow of a Williamson Fluid over a Riga Plate with Double Stratification and Cattaneo-Christov Dual Flux

Cited by 10 publications

References 33 publications

Forced convection heat transfer of Williamson fluid flow in porous media over horizontal plate with constant heat flux

Forced convection heat transfer of Williamson fluid flow in porous media over horizontal plate with constant heat flux

Darcy‐Forchheimer 3D Flow of Glycerin‐Based Carbon Nanotubes on a Riga Plate with Nonlinear Thermal Radiation and Cattaneo‐Christov Heat Flux

Double-Diffusive Nonlinear Buoyancy Force Significance on Free Convective Chemically Reacting Fluids Flow Past Vertical Riga Surface

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