A novel investigation into time-fractional multi-dimensional Navier–Stokes equations within Aboodh transform

Open Physics, Journal Year: 2024, Volume and Issue: 22(1)

Published: Jan. 1, 2024

Abstract This investigation explores the analytical solutions to time-fractional multi-dimensional Navier–Stokes (NS) problem using advanced approaches, namely Aboodh residual power series method and transform iteration method, within context of Caputo operator. The NS equation governs motion fluid flow is essential in dynamics, engineering, atmospheric sciences. Given equation’s extensive diverse applicability across several disciplines, we are motivated conduct a thorough analysis understand complex dynamics associated with nonlinear events it describes. For this purpose, effectively handle challenges posed by fractional derivatives utilizing approach. will enable us obtain accurate approximations for time equation. By conducting computational simulations, provide evidence efficiency dependability suggested methodologies accurately representing dynamic behavior systems. work enhances our comprehension utilization calculus provides valuable instruments examining intricate phenomena. Its interdisciplinary nature ensures that findings applicable various scientific engineering fields, making research highly versatile impactful.

Language: Английский

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Significance of Cattaneo–Christov heat flux theory and convective heat transport on Maxwell nanofluid flow

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Journal Year: 2024, Volume and Issue: 104(10)

Published: Aug. 24, 2024

Abstract Recently, nanofluids, which are solutions of fluids mixed with suspended nano‐particles, for instance, carbon nanotubes, metals, and metal oxides, have become a favorable alternative to conventional coolants. Caused by their outstanding thermal performance conductivity, nanofluids extensively used in battery‐operated drums, thermoelectric producers, solar power. The suspension minor solid components energy dispersion boosts enactment conductivity gives an economical resourceful method increase transfer properties heat significantly. Furthermore, additions numerous engineering mechanical matters, electrical kit conserving, exchangers, chemical progressions, uses nanofluid. Here, the purpose this work is elaborate on flow Maxwell nanofluid considering reactions sink/source. mathematical structure established presence Brownian movement thermophoresis effects. remarkable aspects non‐Fourier flux also considered transport phenomenon convective conditions. similarity alterations change partial differential equations (PDEs) into ordinary (ODEs). obtained expressions ODEs solved numerically via bvp4c approach. graphical sketches display declining behavior factor velocity; however, same impacts examined factors. Schmidt reaction factors decline concentration field

Language: Английский

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Design of neural networks to study the significance of induced magnetic field considering Darcy–Forchheimer flow of Casson fluid

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Journal Year: 2025, Volume and Issue: 105(1)

Published: Jan. 1, 2025

Abstract Nowadays, Casson fluid has been broadly used in plasma, sweetie, coffee, and several polymer solutions, for which the analysis of its essential flow transport heat devices multifaceted surroundings is energetic importance. One exclusive specific exceptional aspects yield stress. The works similarly to a dense when shear power less than stress, whereas it collapses arises once above This benefits describing fluids with unbounded viscosity at nil rate rate, fascinated greatly consideration. Here, via Darcy–Forchheimer considering induced magnetic effects studied by utilizing finite element method (FEM). similarity alterations are exploited convert partial differential equations (ODEq) into ordinary (ODEq). A transformed FEM an appropriate scheme interpolation executed, exhausting linear polynomials derivatives attained solutions be established. Furthermore, working based on weighted residual Galerkin method. observed progressive values factor rise that velocity field. For authentication aims, fallouts associated those obtained results given past study different methodologies. Moreover, neural network tactic input aims obtain reduced ODEq.

Language: Английский

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Temporal Fractionation Models for Depicting Mass Transfer Limiting Conditions of Multispecies Transport in Porous Media

Groundwater for Sustainable Development, Journal Year: 2025, Volume and Issue: unknown, P. 101438 - 101438

Published: March 1, 2025

Language: Английский

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Significant properties of AA7075-methanol nanofluid flow through diverging channel with porous material: Differential Transform Method

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 12, P. 100993 - 100993

Published: Nov. 10, 2024

Language: Английский

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