Memory effects on conjugate buoyant convective transport of nanofluids in annular geometry: A generalized Cattaneo law of thermal flux

Fractional-order derivative modeling continues to receive great interest among researchers across the globe. In this study, Tuberculosis-COVID-19 coinfection is studied using Atangana–Baleanu fractional-order derivatives defined in Caputo sense. We confirmed the existence and singularity of the solution and investigated the model’s equilibrium points. Additionally, we examined the model’s stability in terms of the Ulam–Hyers and generalized Ulam–Hyers stability criteria. The basic reproduction number R 0 was calculated using the next-generation matrix approach. We also looked into the model’s disease-free equilibrium point’s regional stability. Numerical scheme for simulating the fractional-order system with Mittag–Leffler Kernels are presented. Numerical simulations are given to validate the model. Results of the simulation showed a decline in the number of COVID-19 infections within the population when the fractional operator was reduced.

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“…Defnition 1. Te fractional derivative of order b is defned by Liouville and Caputo (LC) in [8,11,30] as follows:…”

Section: Preliminariesmentioning

confidence: 99%

Analysis of Turberculosis‐COVID‐19 Coinfection Using Fractional Derivatives

Okyere

Ackora-Prah

Abdullah

et al. 2023

International Journal of Mathematics and Mathematical Sciences

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“…A comparison for some results was also given with three theories. Some more recent work on MHD flow can be found [44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Finite difference schemes for MHD mixed convective Darcy–forchheimer flow of Non-Newtonian fluid over oscillatory sheet: A computational study

et al. 2023

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This contribution proposes two third-order numerical schemes for solving time-dependent linear and non-linear partial differential equations (PDEs). For spatial discretization, a compact fourth-order scheme is deliberated. The stability of the proposed scheme is set for scalar partial differential equation, whereas its convergence is specified for a system of parabolic equations. The scheme is applied to linear scalar partial differential equation and non-linear systems of time-dependent partial differential equations. The non-linear system comprises a set of governing equations for the heat and mass transfer of magnetohydrodynamics (MHD) mixed convective Casson nanofluid flow across the oscillatory sheet with the Darcy–Forchheimer model, joule heating, viscous dissipation, and chemical reaction. It is noted that the concentration profile is escalated by mounting the thermophoresis parameter. Also, the proposed scheme converges faster than the existing Crank-Nicolson scheme. The findings that were provided in this study have the potential to serve as a helpful guide for investigations into fluid flow in closed-off industrial settings in the future.

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“…Algehyne et al 17 numerically investigated that Cattaneo-Christov heat flux form about three dimensional flow on hybrid nanofluid through a stretching sheet. This generalized Cattaneo flow by thermal flux for the memory effects on combine buoyant convective transport on nanofluids was scrutinized by Zhang et al 18 Computational imitation about transport of mass and heat into Carreau liquid by changing thermal conductivity and viscosity was analyzed by Nazir et al 19 Muhammad et al 20 explored that Cattaneo-Christov dual diffusion theory in this flow over an exponential stretching curved surface.…”

Section: Introductionmentioning

confidence: 99%

Thermally radiated micro-polar fluid with space-dependent heat source: Modified Cattaneo-Christov heat flux theory

Gangadhar

Prameela

Chamkha

2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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The principle aim is to investigate the micro-inertia for vertex viscosity effects that were utilized about design to act on heat energy. Heat transfer was imposed out that unsteady distributed stagnation point flow by micro-polar fluid. That define the energy equation, Cattaneo-Christov heat flux figure was used for formal Fourier's law. Effects on exponential space-dependent heat source and linear thermal radiation were more comprise on the interpreted model. Numerical technique finite element method was occupied about the results to ordinary differential equations that were acquired against governing partial differential equations below the convenient equal transformations. This flow reach toward the departure domain displayed the absorbed flow aspect and opposite flow aspect susceptible on that physical parameters elaborate into the analysis. In view of acquired results, we observed that thermal profile downturn about extra sizably higher values of relaxation time, during increase into increasing radiation factor. An increase in vertex viscosity increases angular motion. Moreover, space-dependent heat digestion is extra applicable about cooling process. That more, the acceptance of current results was entire as growing analogy into actual circulated work.

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Memory effects on conjugate buoyant convective transport of nanofluids in annular geometry: A generalized Cattaneo law of thermal flux

Cited by 21 publications

References 26 publications

Analysis of Turberculosis‐COVID‐19 Coinfection Using Fractional Derivatives

Analysis of Turberculosis‐COVID‐19 Coinfection Using Fractional Derivatives

Finite difference schemes for MHD mixed convective Darcy–forchheimer flow of Non-Newtonian fluid over oscillatory sheet: A computational study

Thermally radiated micro-polar fluid with space-dependent heat source: Modified Cattaneo-Christov heat flux theory

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