Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability

Nwaigwe, Chinedu; Oahimire, J.I.; Weli, Azubuike

doi:10.24132/acm.2023.767

Cited by 3 publications

(1 citation statement)

References 24 publications

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“…Several examples are now provided to demonstrate the convergence of the algorithms presented above and compare their accuracy and efficiencies. Errors are computed in maximum norm and experimental order of convergence are computed according to the formula in [53,56], see also [58] for application of the idea. The convergence results of the Picard, Mann and Ishikawa schemes are displayed in Table 1, those of Argawal, Noor and Abbas-Nazir are displayed in Table 2 and those of Thakur, Ullah and S-star are in shown in Table 3.…”

Section: Numerical Experimentsmentioning

confidence: 99%

On Computational Efficiency of Nine Iterative Algorithms for Hammerstein Equations

Weli

Nwaigwe

2023

ARJOM

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Many fixed point iterative methods have been proposed. Their authors provide, theoretically, the rate of convergence which indicates how much the error changes after one iteration step. Of practical importance are the CPU time required by each method and their accuracy. This has never been investigated. In this work we investigate nine iterative processes and compare their CPU time and accuracy. The schemes are the Picard, Mann, Ishikawa, Noor, Argawal, Abbas-Nazir, Thakur, Ullah, and S* methods. By applying a recently proposed fourth order quadrature rule to the integral equation and replacing the analytical operator with the discretized one, the iterative schemes are derived. They are tested on five Hammerstein equations. The results show that (i) all the methods converge to the exact solution at the correct discretization order of convergence, (ii) the Picard scheme is the fastest and also has good accuracy, and (iii) the S* and Abbas-Nazir schemes are the least efficient. It is concluded that for a contractive problem the Picard scheme is sufficient but if the operator is non-expansive, then the Mann scheme is sufficient.

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Section: Numerical Experimentsmentioning

confidence: 99%

On Computational Efficiency of Nine Iterative Algorithms for Hammerstein Equations

Weli

Nwaigwe

2023

ARJOM

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Thermal enhancement of couple stress fluid flow through anisotropic porous media

Bhargavi,

Aich,

Gupta

2024

Physics of Fluids

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This study examines forced convective heat transfer via an anisotropic porous channel in a couple stress flow. The flow field is assumed to be fully developed and governed by the Darcy Brinkman Forchheimer equation. The thermal field is assumed to be developing. The channel walls are subjected to constant heat flux. Since the momentum equation is non-linear and the thermal energy equation is linear, coupled equations are solved numerically using the finite difference method. The variation in the bulk mean temperature is linear with the axial distance for all values of the couple stress parameter and Darcy number. In the absence of axial conduction and heat sources or sinks in the flow field, it is easy to see that the energy gained by the fluid up to an axial distance is twice the axial distance. The parameters, anisotropic permeability ratio, and anisotropic angle enhance the heat transfer. The couple stress parameter lessens the enhancement in heat transfer. Anisotropy is critical in heat transmission for Darcy number, DaH≤0.8. The heat transfer rate decreases by more than 40% due to couple stress fluid and anisotropic effects in the channel, as opposed to the Newtonian isotropic situation. This investigation's findings have been compared with previous experimental and numerical research.

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Thermal examination of chemically reactive Casson ternary hybrid nanofluid flow on bi-directional stretching sheet subject to Cattaneo–Christov mass/heat flux phenomena, variable porosity and exponential heat source

Lone,

Al-Essa,

Al-Bossly

et al. 2024

Mod. Phys. Lett. B

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This work investigates the Casson ternary hybrid nanofluid flow on a dual-directional elongating surface with variable porosity. The flow is affected by chemical reactivity, exponential heat source and thermally radiative effects. To control the thermal feature of flow, the impacts of Brownian motion and thermophoresis are also incorporated in the flow model along with Cattaneo–Christov mass/heat flux phenomena. Appropriate variables have been employed to convert the leading equations to dimension-free form and then solved by using the bvp4c approach. It has been noticed as an outcome of this work that, with the upsurge in magnetic and variable porous factors, both the primary and secondary velocities have been diminished. Augmentation in thermal profiles is caused by the escalation in radiation, thermophoresis, Brownian motion factors and thermal Biot number while it has reduced with the upsurge in thermal relaxation factor. Concentration distribution has increased by the growth in thermophoresis, activation energy factors and concentration Biot number, whereas it has diminished with escalation in Brownian motion, chemical reactivity and mass relaxation factors. Moreover, concentration distribution also declined with a higher Schmidt number. To ensure the validation of the current model, its results have been compared with previously established datasets available in the literature. A closed agreement between our results and the dataset published previously has been noticed, which ensures the authenticity of the current work.

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Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability

Cited by 3 publications

References 24 publications

On Computational Efficiency of Nine Iterative Algorithms for Hammerstein Equations

On Computational Efficiency of Nine Iterative Algorithms for Hammerstein Equations

Thermal enhancement of couple stress fluid flow through anisotropic porous media

Thermal examination of chemically reactive Casson ternary hybrid nanofluid flow on bi-directional stretching sheet subject to Cattaneo–Christov mass/heat flux phenomena, variable porosity and exponential heat source

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