Ferromagnetic Chaos in thermal convection of fluid through fractal–fractional differentiations

Abro, Kashif Ali; Atangana, Abdon; Gómez-Aguilar, J. F.

doi:10.1007/s10973-021-11179-2

Cited by 19 publications

(5 citation statements)

References 47 publications

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“…[17] conducted the study on the flow of Brinkman nanofluid, wherein various nanoparticle forms are suspended in ethylene glycol and their thermophysical characteristics are highlighted. Similar studies has been done by using fractional derivatives for the analysis of flow models [18–21].…”

Section: Introductionmentioning

confidence: 91%

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

Ramareddy,

Basawaraj,

Mahabaleshwar

et al. 2024

Z Angew Math Mech

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The current study adopts a Bernoulli wavelet technique to explore the magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid through a wedge. A nanofluid across a wedge has been investigated for its stable laminar MHD flow, heat, and mass transport characteristics. By choosing worthwhile non‐dimensional parameters, the governing boundary layer equation is reformed into a dimensionless Falkner–Skan equation. The consequent nonlinear equation is addressed via the Bernoulli wavelet method. For a range of different values of the physical parameters, the nature of the boundary layer flow is visually observed. Fluid velocity rises with rise in the values of Casson parameter, wedge parameter, and magnetic parameter. Local wall skin friction increases with increase in wedge parameter and magnetic parameter values. To ensure the accuracy of the findings, local wall skin friction is estimated and tested with other techniques that are already reported in the existing research.

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Section: Introductionmentioning

confidence: 91%

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

Ramareddy,

Basawaraj,

Mahabaleshwar

et al. 2024

Z Angew Math Mech

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“…Keeping in mind the significance and practical applications of the fractal-fractional derivative (FFD), Xiao et al [2] studied the fractal model of the fluid flow that is charged by the fibrous porous media by using fractional derivative theory. In [3], Abro et al utilized the fractal-fractional theory to discussed chaos in thermal convection of the fluid. Murtaza et al [4] investigated the thermal convection of Casson fluid flow in a micro channel by using the theory of FFD.…”

Section: Introductionmentioning

confidence: 99%

“…[2] studied the fractal model of the fluid flow that is charged by the fibrous porous media by using fractional derivative theory. In [3], Abro et al. utilized the fractal‐fractional theory to discussed chaos in thermal convection of the fluid.…”

Section: Introductionmentioning

confidence: 99%

Fractal‐fractional analysis and numerical simulation for the heat transfer of ZnO + Al₂O₃ + TiO₂/DW based ternary hybrid nanofluid

Murtaza,

Kumam,

Sutthibutpong

et al. 2023

Z Angew Math Mech

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Nanofluids are used to achieve maximum thermal performance with the smallest concentration of nanoparticles and stable suspension in conventional fluids. The effectiveness of nanofluids in convection processes is significantly influenced by their increased thermophysical characteristics. However, this technology is not ended here; binary and ternary nanofluids are now used to improve the efficiency of regular fluids. Therefore, this paper aims to analyze the natural convection Newtonian ternary nanofluid flow in a vertical channel. The tri‐hybridized nanoparticles of zinc oxide ZnO, Aluminum oxide Al2O3, and titanium oxide TiO2 is dissolved in base fluid distilled water (DW) to form a homogenous suspension. The impact of thermal radiation, joule heating, and viscous dissipation are also assumed. The classical Newtonian ternary nanofluid model has been generalized by using fractal‐fractional derivative (FFD) operator. The generalized model has been discretized by using the Crank–Nicolson scheme and then solved by using computational software. To analyze the behavior of fluid flow and heat distribution in fluid, the obtained solution was computed numerically and then plotted in response to different physical parameters. It is noted from the figure that when the volume fraction ϕ reaches to 0.04 (4% of the base fluid), the ternary nanofluid flow shows a significant amount of enhancement in heat transfer rate as compared to binary and unary nanofluid flows. This enhancement in the rate of heat transfer leads to improve the thermophysical characteristics such as viscosity, thermal expansion, and heat capacity etc. of the base fluid. It is also worth mentioning here that the thermal field is also enhance with the higher values of Eckert number , radiation parameter , and joule heating parameter .

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“…A mathematical analysis via a compartmental model addressing the efective control intervention of this infection is being developed and analyzed in [26]. Recently, a number of NiV infection models with fractional derivatives with singular as well as nonsingular kernels have been presented in the literature (for instance, see [27][28][29][30][31]).…”

Section: Introductionmentioning

confidence: 99%

Examining Dynamics of Emerging Nipah Viral Infection with Direct and Indirect Transmission Patterns: A Simulation-Based Analysis via Fractional and Fractal-Fractional Derivatives

Li,

Ullah,

AlQahtani

et al. 2023

Journal of Mathematics

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In this study, we examine the transmission dynamics of global Nipah virus infection under direct (human-to-human) and indirect (contaminated foods-to-human) transmission routes via the Caputo fractional and fractional-fractal modeling approaches. The model is vigorously analyzed both theoretically and numerically. The possible equilibrium points of the system and their existence are investigated based on the reproduction number. The model exhibits three equilibrium points, namely, infection-free, infected flying foxes free, and endemic. Furthermore, novel numerical schemes are derived for the models in fractional and fractal-fractional cases. Finally, an extensive simulation is conducted to validate the theoretical results and provide an impact of the model on the disease incidence. We believe that this study will help to incorporate such mathematical techniques to examine the complex dynamics and control the spread of such infectious diseases.

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Ferromagnetic Chaos in thermal convection of fluid through fractal–fractional differentiations

Cited by 19 publications

References 47 publications

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

Fractal‐fractional analysis and numerical simulation for the heat transfer of ZnO + Al₂O₃ + TiO₂/DW based ternary hybrid nanofluid

Examining Dynamics of Emerging Nipah Viral Infection with Direct and Indirect Transmission Patterns: A Simulation-Based Analysis via Fractional and Fractal-Fractional Derivatives

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Ferromagnetic Chaos in thermal convection of fluid through fractal–fractional differentiations

Cited by 19 publications

References 47 publications

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

Fractal‐fractional analysis and numerical simulation for the heat transfer of ZnO + Al2O3 + TiO2/DW based ternary hybrid nanofluid

Examining Dynamics of Emerging Nipah Viral Infection with Direct and Indirect Transmission Patterns: A Simulation-Based Analysis via Fractional and Fractal-Fractional Derivatives

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Fractal‐fractional analysis and numerical simulation for the heat transfer of ZnO + Al₂O₃ + TiO₂/DW based ternary hybrid nanofluid