Nature analysis of Cross fluid flow with inclined magnetic dipole

Ayub, Assad; Sabir, Zulqurnain; Saïd, Salem Ben; Başkonuş, Hacı Mehmet; Sadat, R.; Ali, Mohamed R.

doi:10.1007/s00542-023-05438-5

Cited by 8 publications

(1 citation statement)

References 41 publications

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“…In recent years, the search of numerical and exact solutions for nonlinear equations has gained particular prominence as a popular and captivating domain both in mathematics and physics. Various numerical methods contribute to the solution, such as Runge–Kutta method 11 – 13 , the Bayesian regularization technique (BRT) 14 – 17 , Levenberg–Marquardt approach (LMA) 18 , 19 , the shooting method 20 – 22 , the bvp4c technique 23 – 25 , the Keller box method 26 – 28 , the Lobatto IIIA method 29 , etc. Also researchers have developed several effective, powerful and efficient exact methods for uncovering the solutions of these equations.…”

Section: Introductionmentioning

confidence: 99%

Exact soliton solutions and the significance of time-dependent coefficients in the Boussinesq equation: theory and application in mathematical physics

Kawser,

Akbar,

Khan

et al. 2024

Sci Rep

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This article effectively establishes the exact soliton solutions for the Boussinesq model, characterized by time-dependent coefficients, employing the advanced modified simple equation, generalized Kudryashov and modified sine–Gordon expansion methods. The adaptive applicability of the Boussinesq system to coastal dynamics, fluid behavior, and wave propagation enriches interdisciplinary research across hydrodynamics and oceanography. The solutions of the system obtained through these significant techniques make a path to understanding nonlinear phenomena in various fields, surpassing traditional barriers and further motivating research and application. Significant impacts of the coefficients of the equation, wave velocity, and related parameters are evident in the profiles of soliton-shaped waves in both 3D and 2D configurations when all these factors are treated as variables, which are not seen in the case for constant coefficients. This study enhances the understanding of the significant role played by nonlinear evolution equations with time-dependent coefficients through careful dynamic explanations and detailed analyses. This revelation opens up an interesting and challenging field of study, with promising insights that resonate across diverse scientific disciplines.

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Section: Introductionmentioning

confidence: 99%

Exact soliton solutions and the significance of time-dependent coefficients in the Boussinesq equation: theory and application in mathematical physics

Kawser,

Akbar,

Khan

et al. 2024

Sci Rep

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Insight into the dynamics of slip and radiative effect on magnetohydrodynamic flow of hybrid ferroparticles over a porous deformable sheet

Gherieb,

Kezzar,

Ayub

et al. 2024

Z Angew Math Mech

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In the present work, we explored the magnetohydrodynamic boundary layer flow in the presence of pressure gradient across a flat plate. The effects of the slip velocity conditions, thermal Radiation the addition of hybrid Ferroparticles (i.e., a mixture of two types of magnetic nanoparticles for example, (magnetite (Fe3O4) and cobalt ferrite (CoFe2O4)) in base fluid (H2O ) and Porous wall (suction/ injection) are also considered in this study. Basic partial differential equations are transformed into nonlinear ordinary differential equations using the appropriate similarity transformations. Then, this equation was treated numerically by using the Runge–Kutta–Fehlberg 4th–5th order method with the shooting technique and analytically via an efficient method called the Generalized Decomposition Method. The effects of various physical parameters on the velocity and temperature profiles are shown graphically. It is found that the incorporation of hybrid nanoparticles demonstrates a relatively substantial impact on the behavior of dynamic and thermal field; outperforming both non‐hybrid nanoparticles and regular fluid in terms of speed and temperature enhancement. The slip and permeability parameters significantly alter the flow structure. The positive values of the slip and permeability parameters enhance the flow velocity and reduce the temperature, leading to the desired flow behavior. Conversely, adopting negative values of these parameters reverses the effect. Furthermore, the radiation parameter enhances the temperature distribution. Additionally, the boundary layer separation tends to disappear with the increase in the magnetic parameter. The results obtained clearly show the accuracy of the proposed method and also indicate an excellent agreement between analytical and numerical data.

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Mathematical Analysis of Bio-nanofluid Flow over a Nonlinear Tapering Artery with Stenosis Conditions Using Cross Fluid Viscosity Model

Darvesh,

Sánchez-Chero,

Reyes Reyes

et al. 2023

BioNanoSci.

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Nature analysis of Cross fluid flow with inclined magnetic dipole

Cited by 8 publications

References 41 publications

Exact soliton solutions and the significance of time-dependent coefficients in the Boussinesq equation: theory and application in mathematical physics

Exact soliton solutions and the significance of time-dependent coefficients in the Boussinesq equation: theory and application in mathematical physics

Insight into the dynamics of slip and radiative effect on magnetohydrodynamic flow of hybrid ferroparticles over a porous deformable sheet

Mathematical Analysis of Bio-nanofluid Flow over a Nonlinear Tapering Artery with Stenosis Conditions Using Cross Fluid Viscosity Model

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