Analysis of hydromagnetic Williamson fluid flow over an inclined stretching sheet with Hall current using Galerkin Weighted Residual Method

Obalalu, A. M.; Salawu, S.O.; Olayemi, Olalekan Adebayo; Ajala, Olusegun Adebayo; Issa, K.

doi:10.1016/j.camwa.2023.06.021

Cited by 29 publications

(1 citation statement)

References 42 publications

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“…Benal et al [11] studied Jeffery fluid flow over a porous stretching/ shrinking sheet in the presence of a magnetic field. Obalalu et al [12] examined the hydromagnetic flow of Williamson fluid over an inclined stretching sheet in the presence of Hall current. Kumar et al [13] investigated the effects of velocity slip and thermal radiation on the melting of micropolar fluid flowing over an exponentially stretching sheet in the presence of a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

M N,

S K

2024

Phys. Scr.

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This paper presents a novel investigation into the intricate behaviour of momentum and heat transport phenomena in a non-Newtonian Maxwell fluid flowing over a stretching sheet. Incorporating thermal radiation R d , magnetic fields M , buoyancy effects λ T , and porous media K under convective boundary conditions the study unveils complex fluid behaviours. Energy equation has been obtained by incorporating non-uniform heat source/sink along with viscosity of the fluid as a function of temperature across the domain. Leveraging the Lie Scale transformation technique, the governing non-linear partial differential equations are converted into non-linear ordinary differential equations. With the aid of Homotopy Analysis Method (HAM), a semi-analytical technique, the solutions describing the physical phenomenon of the current model have been obtained. Further, the results are assessed through the graphical analysis of the velocity profile f ′ η , thermal profile θ η , skin friction coefficient C f R e 1 2 , and Nusselt number N u R e − 1 2 . The obtained results using HAM shows good agreement with the existing literature. The present work offers practical implications for various engineering applications.

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Section: Introductionmentioning

confidence: 99%

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

M N,

S K

2024

Phys. Scr.

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Nonorthogonal stagnation‐point flow of micropolar fluid past a stretching sheet in the presence of thermal radiation and chemical reaction

Swapna,

Salawu,

Shamshuddin

et al. 2024

Heat Trans

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This work has broad applications in areas such as materials engineering, particularly in the manufacturing of polymers, textile fibers, and nanocomposites, thus, inspired the study to examine a continuous two‐dimensional flow of micropolar fluid steadily fluctuated in an oblique impinging on a stretched surface theoretically and computationally. In addition, heat radiation and chemical reactions are taken into account in this work. The flow is composed of a uniform shear flow parallel to the sheet surface and a stagnation‐point flow. Assuming a linear variation in surface temperature, the sheet is extending at a velocity proportionate to the distance from the stagnation point. In terms of partial differential equations, the boundary‐layer regime under discussion is modeled. The nondimensional ordinary differential equations were developed using appropriate similarity variables via a similarity transformation approach. The most effective and powerful too of the numerical approach, known as the pseudospectral collocation technique, is used to solve the micropolar flow model problem. The velocity, angular velocity, temperature, and concentration profiles are portrayed through graphs. Moreover, the impression of the input values on the wall drag coefficient, thermal, and solutal transfer rate are computed in a table. A table is used to compare the numerical findings with the results found in the literature to verify the correctness of the results. It is noted that there is great agreement between the found answer and the earlier investigations. Graphs are used to show the impacts of the relevant factors in the problem, which include the magnetic parameter, the impinging angle heat transfer characteristics, the Prandtl number, the Lewis number, Brownian motion, and the thermophoresis parameter.

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Improving solar HVAC performance by incorporating sutterby SiO₂–Cu/C₃H₈O₂ hybrid nanofluid flow via a collocation based Gegenbauer wavelets technique: Effects of electromagnetic control and Smoluchowksi's temperature slippage

Obalalu,

Darvesh,

Abbas

et al. 2024

Z Angew Math Mech

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The utilization of solar energy in heating, ventilation, and air conditioning (HVAC) systems has gained significant attention as a sustainable and environmentally friendly solution to meet the increasing energy demands. Therefore, this research work introduces a novel engineering study that explores solar‐HVAC systems. However, the study utilized hybrid nanofluids (HNFs) consisting of silicon dioxide and copper nanoparticles, with propylene glycol serving as the base fluid. Furthermore, this exploration features a magnetohydrodynamics (MHD) driven rotating flow with activation energy to enhance the heat transfer performance of solar‐HVAC systems. To increase the model novelty, 3D mathematical models were developed to characterize boundary conditions, which include the speed slippery and Smoluchowski temperature slippage. The partial differential equations in the model are transformed into ordinary differential equations (ODEs) through the use of similarity transformations. The Wavelets and Gegenbauer wavelets method in Mathematica was utilized to solve ODEs and investigate physical attributes such as plate friction, Nusselt number, Sherwood number, and mass flux. The findings show that the solar thermal radiation and magnetic field improve the thermal transfer efficiency of solar‐HVAC. Therefore, the findings of the research have practical applications in solar energy for HVAC systems and can contribute to technological improvements in the manufacturing industry.

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Analysis of hydromagnetic Williamson fluid flow over an inclined stretching sheet with Hall current using Galerkin Weighted Residual Method

Cited by 29 publications

References 42 publications

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

Nonorthogonal stagnation‐point flow of micropolar fluid past a stretching sheet in the presence of thermal radiation and chemical reaction

Improving solar HVAC performance by incorporating sutterby SiO₂–Cu/C₃H₈O₂ hybrid nanofluid flow via a collocation based Gegenbauer wavelets technique: Effects of electromagnetic control and Smoluchowksi's temperature slippage

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Analysis of hydromagnetic Williamson fluid flow over an inclined stretching sheet with Hall current using Galerkin Weighted Residual Method

Cited by 29 publications

References 42 publications

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

Nonorthogonal stagnation‐point flow of micropolar fluid past a stretching sheet in the presence of thermal radiation and chemical reaction

Improving solar HVAC performance by incorporating sutterby SiO2–Cu/C3H8O2 hybrid nanofluid flow via a collocation based Gegenbauer wavelets technique: Effects of electromagnetic control and Smoluchowksi's temperature slippage

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Improving solar HVAC performance by incorporating sutterby SiO₂–Cu/C₃H₈O₂ hybrid nanofluid flow via a collocation based Gegenbauer wavelets technique: Effects of electromagnetic control and Smoluchowksi's temperature slippage