Atangana Derivative With Memory and Application

Atangana, Abdon

doi:10.1016/b978-0-12-809670-3.00014-x

Cited by 3 publications

(4 citation statements)

References 1 publication

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“…When the Reynolds number is less than one, the flow is known as Stokes or creeping flow. This implies that the dominant forces in action are the viscous forces of the fluid rather than the inertial forces. − This confirms the accuracy of Darcy’s law in the given context.…”

Section: Methodssupporting

confidence: 61%

Real-Time Pore-Scale Investigation of the Effects of Uniform, Random, and Heterogenous Porous Structures on Intrinsic Permeability Using Two-Dimensional Microfluidic Chips

Boumedjane,

Al-Maamari,

Rabbani

et al. 2024

Energy Fuels

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Permeability is a significant fluid flow property that is essential for the evaluation of oil recovery methods. The intrinsic permeability of a porous medium is influenced by factors such as the size distribution of pores and pore throats, the connectivity between pores, the topology of the pores, and the geometry of individual pores. Yet, it is not well understood how multiple elements of pore geometry interact to affect permeability due to the complex and heterogeneous nature of porous structures. This study examines the real-time porescale effects of uniform, random, and heterogeneous porous structures on intrinsic permeability, considering the broader complexity of the pore network as a single unit. The intrinsic permeability exhibited a negative correlation with increasing heterogeneity of the porous structure regardless of whether the porosities were the same or different. At a porosity of 0.59, the uniform pattern exhibited a permeability of 4.07 Darcy, while the heterogeneous pattern had a permeability of 2.37 Darcy. The random pattern demonstrated greater permeability (2.57 Darcy) at a lower porosity (0.47) in comparison to that of the heterogeneous network. Pore-scale experiments and simulations have demonstrated the significant influence of the pore network topology on the intrinsic permeability. As the complexity and heterogeneity of porous structures increase, the combined effect of morphological characteristics on intrinsic permeability becomes more significant than the individual influence of each morphological property. The differences in permeability observed in the experiments were attributed to the presence of stagnant water zones, which could be permanent or temporary. Stagnant water is more likely to be permanent in homogeneous patterns than in heterogeneous patterns. Heterogeneity appeared to promote water movement and redistribution because of variations in local pressure due to variations in pore sizes. The presence of dead-end pores in the random pattern led to a slight fluctuation in the experimental permeability. However, this effect was more prominent in the simulated permeability. Our study found experimental and numerical evidence that the broader heterogeneity of the porous structure significantly impacts permeability. Moreover, it highlights the importance of accounting for the actual microscopic porous structure of the reservoir being targeted when microfluidic devices are employed for enhanced oil recovery techniques.

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Section: Methodssupporting

confidence: 61%

Real-Time Pore-Scale Investigation of the Effects of Uniform, Random, and Heterogenous Porous Structures on Intrinsic Permeability Using Two-Dimensional Microfluidic Chips

Boumedjane,

Al-Maamari,

Rabbani

et al. 2024

Energy Fuels

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“…The flow of a fluid through a porous material may be driven by a pressure gradient or an external force, such as gravity. Assuming a steady creeping flow, the average flow velocity u̅ γ in the direction γ ( x , y , or z ) through the material is described by Darcy’s law u̅ γ = prefix− κ γ η L γ normalΔ p where Δ p is the pressure drop driving the flow in the direction γ, L γ is the material thickness, and η is the dynamic viscosity of the fluid . The permeability κ γ is a characteristic property of the material, which describes how easily the fluid passes through the material in that direction.…”

Section: Methodsmentioning

confidence: 99%

“…Assuming a steady creeping flow, the average flow velocity in the direction γ ( x , y , or z ) through the material is described by Darcy’s law where Δ p is the pressure drop driving the flow in the direction γ, L γ is the material thickness, and η is the dynamic viscosity of the fluid. 55 The permeability κ γ is a characteristic property of the material, which describes how easily the fluid passes through the material in that direction. Permeability is related to the porosity of the material but is also affected by the shapes of the pores and their connectivity.…”

Section: Methodsmentioning

confidence: 99%

Modeling Colloidal Particle Aggregation Using Cluster Aggregation with Multiple Particle Interactions

Antonsson,

Hamngren Blomqvist,

Olsson

et al. 2024

J. Phys. Chem. B

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In this study, we investigate the aggregation dynamics of colloidal silica by generating simulated structures and comparing them to experimental data gathered through scanning transmission electron microscopy (STEM). More specifically, diffusion-limited cluster aggregation and reaction-limited cluster aggregation models with different functions for the probability of particles sticking upon contact were used. Aside from using a constant sticking probability, the sticking probability was allowed to depend on the masses of the colliding clusters and on the number of particles close to the collision between clusters. The different models of the sticking probability were evaluated based on the goodness-of-fit of spatial summary statistics. Furthermore, the models were compared to the experimental data by calculating the structures' fractal dimension and mass transport properties from simulations of flow and diffusion. The sticking probability, depending on the interaction with multiple particles close to the collision site, led to structures most similar to the STEM data.

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“…59 Split between an imbalance across the Southern and Northern regions of the country and, within the former, the more prosperous coastal areas and interior hinterlands, the uneven development of Cameroon in this period served to exploit customary practices to engender greater revenue for the metropole, with concentrations of reform around the "fertile crescent" emanating from Douala. 60 Despite the prevalence of a rhetoric of colonial rule predicated on the need for development -records from FIDES from the end of World War II to 1956, the conclusion of the second four year plan, show a total expenditure of 28,912,354,245 CFAseveral parts of the territory failed entirely to benefit from plans for infrastructural and social development. 61 Opening with the scene of Medza's disgraced departure from the colonial school, Mission terminée develops from the start as a text permeated by the abstract violence of this form of colonial rule.…”

Section: (51)mentioning

confidence: 99%

From Empire to Independence: Colonial Space in the Writing of Tutuola, Ekwensi, Beti, and Kane

Krishnan¹

2017

Comparative Literature Studies

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms 1 From Empire to Independence: Colonial Space in the Writing of Tutuola, Ekwensi, Beti and Kane AbstractThis article examines the production of space in four early Anglophone and Francophone West African novels, reading Amos Tutuola's The Palm-Wine Drinkard (Nigeria, 1952), Cyprian Ekwensi's People of the City (Nigeria, 1954), Mongo Beti's Mission terminée (Cameroon, 1957) and Cheikh Hamadou Kane's L'Aventure ambiguë (Senegal, 1961) alongside broader social, political and economic spatial discourses from the 1950s and 60s. By so doing, the article unpacks the articulated correspondences between literary space and its wider materiality in ways which are both explicit and implicit. Drawing on insights from human geography, this essay explores the extent to which the distinct spatial programs of the British and French empires manifest within Anglophone and Francophone West African writing in the years leading to independence, ultimately arguing that the latter displays a range of discrepant, horizontal formulations in contrast to the more monolithic, vertical spatiality of the latter.Keywords: African literature; space; postcolonial literature Since its inception as a field, postcolonial studies has placed a particularly high emphasis on space as a category of analysis. Drawing on Edward W. Said's foundational exposition of the "imaginative geographies" of colonial conquest, 1 the field since that time has "identified space in all its forms as integral to the postcolonial experience." 2 Space, as Soja reminds us, functions as more than simply an absolute container or matter of lines on a map. Rather, space and spatiality imply "a struggle that is not just about soldiers and cannons but also about ideas, images and imaginings, about competition for land and territory and the search for fundamental and egalitarian rights to inhabit space," 3 replete with resonances across the interconnected spheres of the mental, the material, and the social realms of existence. 4 Based upon the premise that it is precisely the manipulation of this multifaceted and allencompassing function of spatiality which served to provide imperial powers with their ostensible 2 mastery of colonized territories, both material and mythic, 5 the field has foregrounded the social and political urgency of re-imagining and re-constructing spatial formations in the post-imperial world. Yet, in its realization, the centrality of spatiality to postcolonial inquiry has remained curiously undertheorized. The discipline, instead, has fallen into what Lefebvre once characterized as the twinned myths of transparency and opacity, viewing space, on the one hand, as something "out there," an instance of "natural simplicity," 6 utterly unknowable in any real or true sense; and, on the other, as entirely ideational by nature, no more th...

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Atangana Derivative With Memory and Application

Cited by 3 publications

References 1 publication

Real-Time Pore-Scale Investigation of the Effects of Uniform, Random, and Heterogenous Porous Structures on Intrinsic Permeability Using Two-Dimensional Microfluidic Chips

Real-Time Pore-Scale Investigation of the Effects of Uniform, Random, and Heterogenous Porous Structures on Intrinsic Permeability Using Two-Dimensional Microfluidic Chips

Modeling Colloidal Particle Aggregation Using Cluster Aggregation with Multiple Particle Interactions

From Empire to Independence: Colonial Space in the Writing of Tutuola, Ekwensi, Beti, and Kane

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