Numerical appraisal under the influence of the time dependent Maxwell fluid flow over a stretching sheet

Khan, Kashif Ali; Seadawy, Aly R.; Jhangeer, Adil

doi:10.1002/mma.7107

Cited by 24 publications

(6 citation statements)

References 43 publications

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“…The fluid in the center of a pore (called bulk fluid) is different from fluid directly in contact with the inner surface of the porous medium (called boundary fluid) (see Figure 1). The properties of boundary fluid are affected by interface phenomena, and the fluid forms a boundary layer close to the pore wall [25,26]. The fluid inside the boundary layer does not easily flow.…”

Section: Apparent Permeabilitymentioning

confidence: 99%

A Novel Equivalent Numerical Simulation Method for Non-Darcy Seepage Flow in Low-Permeability Reservoirs

Liu

Chen

et al. 2022

Energies

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The low permeability and submicron throats in most shale or tight sandstone reservoirs have a significant impact on microscale flow. The flow characteristics can be described with difficultly by the conventional Darcy flow in low-permeability reservoirs. In particular, the thickness of the boundary layer is an important factor affecting the formation permeability, and the relative permeability curve obtained under conventional conditions cannot accurately express the seepage characteristics of porous media. In this work, the apparent permeability and relative permeability were calculated by using non-Darcy-flow mathematical modeling. The results revealed that the newly calculated oil–water relative permeability was slightly higher than that calculated by the Darcy seepage model. The results of the non-Darcy flow based on the conceptual model showed that the area swept by water in non-Darcy was smaller than that in Darcy seepage. The fingering phenomenon and the high bottom hole pressure in the non-Darcy seepage model resulted from the larger amount of injected water. There was a large pressure difference between the injection and production wells where the permeability changed greatly. A small pressure difference between wells resulted in lower variation of permeability. Consequently, the non-Darcy simulation results were consistent with actual production data.

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Section: Apparent Permeabilitymentioning

confidence: 99%

A Novel Equivalent Numerical Simulation Method for Non-Darcy Seepage Flow in Low-Permeability Reservoirs

Liu

Chen

et al. 2022

Energies

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“…The solution was obtained numerically, and the effect of different embedded parameters was studied. The authors refer to Khan and colleagues [14][15][16][17][18][19] for more information on the significance of fluid application.…”

Section: Introductionmentioning

confidence: 99%

Enhancing heat transfer in MHD Falkner's‐Skan flow with thermal radiation, free convection and dusty fluid between parallel plates

Khan,

Ali,

Ghazwani

2024

Heat Trans

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Falkner's‐Skan flows are one‐dimensional flows widely used in fluid dynamics and boundary layer theory. They optimize heat exchangers and cooling systems, enhance turbine and compressor blades in turbomachinery, and provide consistency and quality in semiconductor fabrication. Additionally, they assist in pollution management and environmental impact assessments. The variety of Falkner's‐Skan flows clarifies fluid flow phenomena and their practical applications. This article aims to explore the impact of surface temperature on the flow behavior of dusty fluid in Falkner's‐Skan flow. The study focuses on the flow of dust particles in a channel formed by two infinite parallel plates. The study assumes that the particles are round and uniformly dispersed in the fluid. Furthermore, the article takes into account the effect of radiation on the energy equation. With the findings of this study, we hope to gain a better understanding of the dynamics of Falkner's‐Skan flow and contribute to the development of effective strategies for managing the flow of dusty fluids. The right plate's movement at free stream velocity causes the fluid to flow. Partial differential equations are used to represent the behavior of the flow. The Poincare‐Light Hill Technique yields exact answers. Visual representations of the temperature and velocity curves show the effects of different factors. It is possible to create graphic pictures of the fluid and dust particles using Mathcad‐15. Furthermore, critical fluid characteristics for engineers, such as skin friction and heat transfer rate, are analyzed and tabulated. These evaluations include the heat transfer rate at the wedge surface and the influence of this enhancement on surface viscous drag forces.

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“…Megahed [18] discussed the enhancement of heat transfer in a Maxwell fluid flowing over a stretching sheet embedded in a porous medium under the influence of convection. Khan et al [19] numerically studied the effect of time-dependent Maxwell fluid flow over a stretching sheet. Abdelsalam et al [20] comparatively examined the rheological properties of the upper convected Maxwell fluid flowing over a permeable stretched sheet.…”

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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Numerical appraisal under the influence of the time dependent Maxwell fluid flow over a stretching sheet

Cited by 24 publications

References 43 publications

A Novel Equivalent Numerical Simulation Method for Non-Darcy Seepage Flow in Low-Permeability Reservoirs

A Novel Equivalent Numerical Simulation Method for Non-Darcy Seepage Flow in Low-Permeability Reservoirs

Enhancing heat transfer in MHD Falkner's‐Skan flow with thermal radiation, free convection and dusty fluid between parallel plates

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

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