Abundant families of solutions for (4+1)-dimensional Fokas fractional differential equation using New sub-equation method

Scientific African, Journal Year: 2024, Volume and Issue: unknown, P. e02107 - e02107

Published: Jan. 1, 2024

The current article aims to analytically solve the conformable space-time fractional Fokas (CSTFF) equation in (4+1) dimensions. new sub-equation method is applied achieve this purpose. First, wave transformation reduces an integer-order ordinary differential (ODE). After homogeneous balance of ODE terms, a set algebraic equations considered. Five cases solutions group are obtained with aid Maple tool. Studying five cases, we get twelve families for every case. results confirm that efficient analyzing various nonlinear time-fractional partial equations.

Language: Английский

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Effects of Stefan blowing on Eyring–Prandtl nanofluid flow past a moving plate in Darcy-porous medium

Particulate Science And Technology, Journal Year: 2024, Volume and Issue: unknown, P. 1 - 11

Published: Nov. 28, 2024

Eyring–Prandtl nanofluid is used in several areas for the purpose of flow control, improvement stability, enhancement heat transfer, and many others. Motivated by these uses, this work aims to investigate transmission two-dimensional across a moving plate under influence Stefan blowing effects Darcy-porous medium. The new aspect problem arises due having nonlinear velocity as well inclusion consideration nanofluid. This creates boundary layer over plate. Similarity transformations are employed obtaining self-similar structure leading equations. Self-similar solutions found specific power law Numerical technique adopted finding A thorough discussion demonstration fluid material parameters, medium permeability, Prandtl number, Lewis other parameters on temperature, concentration, made. possible physical explanations provided systematically. permeability porous determines how flowing It restricts but temperature concentration enhanced. However, parameter has shown reverse concentration. study indicates that two involved momentum equation have opposite velocity. basic essence find developed heat, mass transfer influenced

Language: Английский

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Heat transmission phenomenon in magnetic nanofluid flow across movable flat device with heat source impact: local non-similarity solution with 2nd-stage truncation

Journal of Thermal Analysis and Calorimetry, Journal Year: 2023, Volume and Issue: 149(4), P. 1581 - 1594

Published: Dec. 11, 2023

Language: Английский

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Heat and mass transfer phenomenon and aligned entropy generation with simultaneous effect for magnetized ternary nanoparticles induced by ferro and nano-layer fluid flow of porous disk subject to motile microorganisms

Numerical Heat Transfer Part A Applications, Journal Year: 2023, Volume and Issue: unknown, P. 1 - 29

Published: Dec. 22, 2023

This articles focus the dynamics of fluid conveying ternary solid particles, nano-layer, and magnetic field effects subject to porous disks. The magnetized nanoparticles induced by Ferro nano-layer are considered due their unusual characteristics like extraordinary thermal conductivity, which significant in advanced nanotechnology, heat exchangers, material sciences, electronics. To avoid possible sedimentation tiny motile microorganisms also elaborated problem. main objective this comprehensive study is enhancement transportation. In study, we investigate physical entropy generation, particularly emphasizing viscous dissipation related joule heating effects. mass transfer equation was employed monitor chemical interaction with diverse nanoparticles. results comparative numerical validation agree well. approach stable accurate boundary value problem fourth order code (bvp4c) applied solve nonlinear system ordinary differential equations. Many useful engineering summarized here, including skin friction coefficient (Cf), Nusselt number (Nu), Sherwood (Sh), (Nn). For both disks, several non-dimensional parameter depicted graphically tabulated. show that increasing nanolayer particles slows rate temperature profile associated expansion ratio, Reynolds number, number. Moreover, values density ratio an increase flow Increasing diffusivity parameters difference enhances generation.

Language: Английский

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Investigation of the thermo-convective characteristics of a flow passing through a partially heated channel filled with a porous medium saturated with a hybrid nanofluid

Numerical Heat Transfer Part A Applications, Journal Year: 2024, Volume and Issue: unknown, P. 1 - 26

Published: April 4, 2024

As part of this study, we used three-dimensional numerical simulations to look into mixed thermal convection in a nanofluid that flows partially heated cylindrical channel without being able be compressed. Our study specifically focused on two distinct configurations: the investigation laminar regime using hybrid under both porous and nonporous conditions. The adds scientific understanding heat transfer processes complex fluid–solid systems contributes ongoing advancement knowledge fields engineering research. This research involved investigations varying nanoparticle volume fractions (0%–4%), Reynolds numbers within range 200–800, Richardson between 1 2, fixed Darcy number Da=10−8. analytical methodology thorough assessment temperature, velocity, distributions nanofluid. did showed adding nanoparticles made base fluid's effective conductivity much better. rate go up. Specifically, Al2O3-CuO-water displayed noteworthy improvement. Furthermore, incorporation matrix substantially enhanced overall efficiency process.

Language: Английский

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