A fractal model for thermal analysis of newtonian fluid to forecast thermal behavior

Siyal, Ambreen; Abro, Kashif Ali

doi:10.1007/s10973-024-13519-4

J Therm Anal Calorim

2024

DOI: 10.1007/s10973-024-13519-4

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A fractal model for thermal analysis of newtonian fluid to forecast thermal behavior

Ambreen Siyal,

Kashif Ali Abro

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Cited by 3 publications

References 23 publications

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A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium

Abro,

Memon,

Yousef

et al. 2025

South African Journal of Chemical Engineering

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A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium

Abro,

Memon,

Yousef

et al. 2025

South African Journal of Chemical Engineering

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Chlamydia infection with vaccination asymptotic for qualitative and chaotic analysis using the generalized fractal fractional operator

Nisar,

Farman,

Hincal

et al. 2024

Sci Rep

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In this work, we solve a system of fractional differential equations utilizing a Mittag-Leffler type kernel through a fractal fractional operator with two fractal and fractional orders. A six-chamber model with a single source of chlamydia is studied using the concept of fractal fractional derivatives with nonsingular and nonlocal fading memory. The fractal fractional model of the Chlamydia system can be solved by using the characteristics of a non-decreasing and compact mapping. A suggested model with the Lipschitz criteria and linear growth is studied both qualitatively and quantitatively, taking into account boundedness, uniqueness, and positive solutions at equilibrium points with Leray-Schauder results under time scale concepts. We examined the framework of local and global stability and insight into Lyapunov function properties for the infectious disease model. Chaos Control will employ the regulate for linear responses approach to stabilize the system following its equilibrium points. This will take into consideration a fractional order framework with a managed design, where solutions are bounded in the feasible domain and have a greater impact at the lower minimum infectious rate. To illustrate the implications of fractional and fractal dimensions with varying interest rate values through simulations with Newton’s polynomial method under the Mittag-Lefller kernel. Additionally, a comparative analysis of results is also derived by employing power and exponential decay kernels at various fractional orders.

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Generalized ghost pilgrim dark energy fractal cosmology with observational constraint

Bhoyar,

Ingole,

Kale

2024

Phys. Scr.

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In this work, we explore dark energy models, mainly ghost, generalized ghost, and generalized ghost pilgrim dark energy models within the framework of fractal cosmology. To obtain solutions for the field equations, we employed a parameterization of the deceleration parameter, as proposed by R. K. Tiwari. By utilizing Markov Chain Monte Carlo (MCMC) analysis, we impose constraints on the free parameters of the derived solutions. The analysis is based on observational datasets, including 57 data points from the Observational Hubble Data (OHD) and, 1048 points from the $Pantheon$ Supernovae sample. This approach allows us to assess the viability of the dark energy models in describing the current cosmic expansion. According to the effective equation-of-state parameter, the model maintains itself in the quintessence era and ultimately switches into the Einstein-de Sitter model. Furthermore, we investigate the statefinder, jerk, snap, and lerk parameters. The energy conditions of each model satisfy the weak and null energy conditions but violate the strong energy condition. We find that the Om(z) curves for the data samples exhibit a consistently negative slope throughout the entire range.

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A fractal model for thermal analysis of newtonian fluid to forecast thermal behavior

Cited by 3 publications

References 23 publications

A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium

A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium

Chlamydia infection with vaccination asymptotic for qualitative and chaotic analysis using the generalized fractal fractional operator

Generalized ghost pilgrim dark energy fractal cosmology with observational constraint

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