Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation

Islam, Shariful; Halder, Bishnupada; Ali, Ahmed Refaie

doi:10.1038/s41598-023-36536-z

“…El-Dabe, et al explore the influence of thermophoresis on unsteady MHD flow of radiation-absorbing Kuvshinski fluid with non-linear heat and mass transfer [36]. Islam, Halder, and Refaie Ali delve into optical and rogue-type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation [37]. Refaie Ali et al study electromagnetic wave propagation within a plasma-filled rectangular waveguide using fractional space and LFD [38].…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Vortex Flow Dynamics and Heat Transport in a Wavy Cavity with Variable Cross-Section Cylinder Using Triangular Grid-Based Finite Element Method and Galerkin Weighted Residuals

Hossain,

Fayz-Al-Asad,

Alam

et al. 2023

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This work aims to develop a computational model to explore the dynamics of vortex flow physics and heat transport characteristics inside a wavy enclosure subjected to a cylinder of varying cross section. The physical problems are expressed in mathematical form by suitable sets of governing equations with the appropriate boundary conditions. This dimensionless form is subsequently solved using a free triangular grid-based finite element technique that utilizes the Galerkin weighted residuals methodology. The progress simulation were conducted for a range of Rayleigh number (103 ≤ Ra ≤ 106), aspect ratios (1 ≤ Ra ≤ 3), and various inclination angles of an elliptical cylinder (0° ≤ ϕ ≤ 90°). The numerical solutions to the problems are visually shown in terms of streamlines, isotherms, angle of orientation, and mean Nusselt number in terms of heat transport rate. The findings of the current study and a previously published paper are noted to be strongly in agreement. The most significant enhancement in heat transport was observed when the elliptical cylinder was oriented in a vertical arrangement when AR = 3.0 and Ra = 106.

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“…El-Dabe, et al explore the influence of thermophoresis on unsteady MHD flow of radiation-absorbing Kuvshinski fluid with non-linear heat and mass transfer [33]. Islam, Halder, and Refaie Ali delve into optical and rogue-type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation [34]. Refaie Ali et al study electromagnetic wave propagation within a plasma-filled rectangular waveguide using fractional space and LFD [35].…”

Section: Introductionmentioning

confidence: 99%

Numerical Keller Box Method for Micropolar Casson-Nanofluid Flow with Double Stratification and Magnetic Effects

Ali,

Rafique,

Ahmad

et al. 2023

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0

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This analysis focuses on the flow of Casson-type micropolar nanofluid induced by a stretchable vertical surface. Energy and mass transport are investigated in this study. Furthermore, the impacts of double stratification (thermal and solutal) are considered. In addition, the transport equations incorporate Brownian motion and thermophoretic effects. The non-linear governing flow equations, along with associated boundary conditions, are transformed into dimensionless ordinary differential equations (ODEs) using appropriate similarity variables. These ODEs are solved numerically using the Keller box scheme. This investigation aims to examine the influences of Casson parameter effects on the micro-rotations of nanofluid flow. A comparative study is conducted with available outcomes. The velocity of the liquid exhibits an inverse relationship with the Casson and magnetic factors. Moreover, the temperature and concentration distribution of the considered fluid show a decreasing trend with changes in thermal and solutal stratification. Meanwhile, the mixed convection factor exhibits a direct correlation with the liquid velocity.

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“…El-Dabe, et al explore the in uence of thermophoresis on unsteady MHD ow of radiation-absorbing Kuvshinski uid with non-linear heat and mass transfer [33]. Islam, Halder, and Refaie Ali delve into optical and rogue-type soliton solutions of the (2 + 1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation [34]. Refaie Ali et al study electromagnetic wave propagation within a plasma-lled rectangular waveguide using fractional space and LFD [35].…”

Section: Introductionmentioning

confidence: 99%

Numerical study of the dual stratification impacts on Micropolar Casson-Nanofluid flow over a stretchable Surface

Ali,

Rafique,

Ahmad

et al. 2023

Preprint

0

View full text Add to dashboard Cite

This analysis focuses on the flow of Casson-type micropolar nanofluid induced by a stretchable vertical surface. Energy and mass transport are investigated in this study. Furthermore, the impacts of double stratification (thermal and solutal) are considered. In addition, the transport equations incorporate Brownian motion and thermophoretic effects. The non-linear governing flow equations, along with associated boundary conditions, are transformed into dimensionless ordinary differential equations (ODEs) using appropriate similarity variables. These ODEs are solved numerically using the Keller box scheme. This investigation aims to examine the influences of Casson parameter effects on the micro-rotations of nanofluid flow. A comparative study is conducted with available outcomes. The velocity of the liquid exhibits an inverse relationship with the Casson and magnetic factors. Moreover, the temperature and concentration distribution of the considered fluid show a decreasing trend with changes in thermal and solutal stratification. Meanwhile, the mixed convection factor exhibits a direct correlation with the liquid velocity.

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Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation

Cited by 23 publications

References 29 publications

Numerical Investigation of Vortex Flow Dynamics and Heat Transport in a Wavy Cavity with Variable Cross-Section Cylinder Using Triangular Grid-Based Finite Element Method and Galerkin Weighted Residuals

Numerical Investigation of Vortex Flow Dynamics and Heat Transport in a Wavy Cavity with Variable Cross-Section Cylinder Using Triangular Grid-Based Finite Element Method and Galerkin Weighted Residuals

Numerical Keller Box Method for Micropolar Casson-Nanofluid Flow with Double Stratification and Magnetic Effects

Numerical study of the dual stratification impacts on Micropolar Casson-Nanofluid flow over a stretchable Surface

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