Optical Dromions for Spatiotemporal Fractional Nonlinear System in Quantum Mechanics

In physics, mathematics, and other disciplines, new integrable equations have been found using the P-test. Novel insights and discoveries in several domains have resulted from this. Whether a solution is oscillatory, decaying, or expanding exponentially can be observed by using the AEM approach. In this work, we examined the integrability of the triple nonlinear fractional Schrödinger equation (TNFSE) via the Painlevé test (P-test) and a number of optical solitary wave solutions such as bright dromions (solitons), hyperbolic, singular, periodic, domain wall, doubly periodic, trigonometric, dark singular, plane-wave solution, combined optical solitons, rational solutions, etc., via the auxiliary equation mapping (AEM) technique. In mathematical physics and in engineering sciences, this equation plays a very important role. Moreover, the graphical representation (3D, 2D, and contour) of the obtained optical solitary-wave solutions will facilitate the understanding of the physical phenomenon of this system. The computational work and conclusions indicate that the suggested approaches are efficient and productive

Impact of Watercourse Lining on Water Conservation in the Gadeji Minor Command, Sindh, Pakistan

Looming water scarcity could be curtailed with intelligent water losses control. Present study was designed to assess the relative effect of watercourse lining in prospect of seepage minimization. Qualitative as well as quantitative analysis was undertaken using water conveyance efficiency, annual water saving, increase in cropping intensities, time and land saving along with labor saving indictors over Gadeji minor in Sindh, Pakistan. Primary data was collected from field measurements while secondary data was gathered from NPIW (National Program for Improvement of Watercourses), Irrigation Department, personal interviews and site survey. The analysis revealed that lining of 30% initial portion of watercourses resulted average annual water saving of 10.32 hectare-m. Similarly, the cropping intensity increased 15% in Rabi and 14% in Kharif seasons. Crop yield increased by 17% for wheat crop, 14% for cottoncrop, 12% for sugarcane, 17% for chilies, 11% for onion crop and 20% for rice crop after lining the selected watercourses. Thus, it is concluded that watercourse lining has noticeable effect for seepage control which yielded a significant water saving. In future, economic viability of watercourse lining may be assessed for obtaining optimum benefits

Analysis of magnetized micropolar fluid subjected to generalized heat-mass transfer theories

In this study, the steady 2D flow of micropolar fluid via a vertical surface is taken into account. The magnetohydrodynamics applied normally to the flow direction at a vertical surface in the presence of temperature-dependent attributes. The effect of the chemical reaction under the generalized Fourier–Fick law is considered to investigate the heat transference rate at the vertical sheet. Under the flow assumptions, the boundary layer approximations were applied to the nonlinear differential equations and partial differential equations were obtained. The use of similarity modifications allows for a reduction in the number of partial differential equations. The resulting ordinary differential equations are then resolved numerically using a technique known as the homotopy analysis method. The results reveal that microparticle suspensions have a significant impact on the flowing domain when varied fluid characteristics are utilized. The effect of potential factors on flow, micro-rotation velocities, temperature, drag force factor, and heat transport rate is investigated. The obtained results show that the velocity profile and micropolar function increase for larger values of micropolar parameters. Drag force effects are also seen, and required outcomes are observed to be in outstanding accord with the available literature. Significant results of this work were toward the velocity function, which gets reduced with increasing magnetic field parameter values, but the velocity function enhances for higher values of β\beta and λ\lambda . On temperature distribution, it decreased for higher values of ϵ1{{\epsilon }}_{1} and temperature profile declines due to higher values of Pr\text{Pr}, γ2{\gamma }_{2} and γ1{\gamma }_{1} or both cases of δ>0\delta \gt 0 and δ<0\delta \lt 0. The higher values of Sc\text{Sc} resist declining the temperature function at the surface

Effect of curved anchor impellers on power consumption and hydrodynamic parameters of yield stress fluids (Bingham–Papanastasiou model) in stirred tanks

This study introduces a three-dimensional numerical analysis of the mixing yield stress fluid inside stirred vessels. The Bingham–Papanastasiou model predicts the yield stress behavior of the working fluid. The implications of a new anchor impeller design are investigated; it involves certain modifications to a typical anchor impeller’s blade. Different curved shapes replace the straight blade of a classical anchor. The flow pattern and energy consumed inside the stirred system for various geometrical configurations, Reynolds numbers (0.1, 1, 10, and 100), and Bingham numbers (1, 10, 100, and 500) have been investigated. According to the findings, introducing this new geometrical configuration gives a significant acceleration of flow pattern and extension of the well-mixed zone, as well as decreased power consumption (Np{\rm{Np}}). Three configurations were introduced to the mixing system: Case 1 is a standard anchor impeller, and Cases 2 and 3 are curved anchor impellers with two shapes different. Case 3 (helical design of blade) has been found to be the less power consumption case by five times, i.e., for Case 1 and Case 2, Np=5{\rm{Np}}=5, whereas for Case 3, Np=1{\rm{Np}}=1. Based on the results, it is evident that the configuration (Case 3) demonstrates a superior geometric design in enhancing mixing characteristics compared to the other configurations

Entropy and thermal case description of monophase magneto nanofluid with thermal jump and Ohmic heating employing finite element methodology

Apart from the Buongiorno concept, no study was published that sufficiently examined the impact of nanoparticles on the extendable surface of the third-grade fluid prototype. The third grade nanofluid (3GNF) model's liquid simulation needs for Tiwari and Das are theoretically evaluated in the current work utilizing motor oil as the standard base liquid. Tiwari and Das' model look at the volume portion of nanoparticles for heat transfer enhancement as opposed to the Buongiorno concept, which primarily relies on thermophoretic and Brownian dispersion impacts. This analysis takes into consideration the Biot quantity, thermal radiative viscous flowing, slippage variable, Joule heating, and magneto variable, which are all thermal features of 3GNF. The Galerkin finite element methodology (G-FEM) mathematical structure is used to produce the computer solution. Copper/engine oil (Cu-EO) and titanium dioxide/engine oil (TiO2-EO) are considered. TiO2-EO nanofluid has a greater thermodynamic representation than Cu-EO nanofluid in the same conditions. The following rate range: 1.9%–43%, demonstrates Cu-advantage EO over TiO2-EO in terms of thermal conductivity. Additionally, the porous materials boundary's function is to increase the speed outlines whilst lowering the heating transduction rate. At the end of the day, the Reynolds and Brinkman values increase entropy

Artificial neural network modeling of mixed convection viscoelastic hybrid nanofluid across a circular cylinder with radiation effect: Case study

As a result of its use in the manufacturing and construction industries, research on the flow of nanofluid is rather well-known among academics and professionals in related fields. It is helpful for electrical equipment to utilize it for cooling reasons, which has shown promising results in terms of reducing energy use. As a result, the primary objective of this research is to inspect the impacts that radiation has on the mixed convection of Walters'-B hybridity nanofluid flow of stagnant point in a horizontal circular cylinder under the circumstances of a constant heat flux. It is considered a conventional fluid despite the presence of copper (Cu) and alumina (Al2O3) nanoparticles in the water (H2O) hybridity nanofluid. To make the solution to the resulting controlling system of equations more straightforward, the numerical approach of a neural network with a back-propagation algorithm (NN-BPA) is used. It follows by clarifying how various physical characteristics, such as blended convection, thermal radiation, and stagnant movement, affect temperature, skin friction, thermal transfer, velocity, and graphical profiles of those variables. The LMNN-BPA has the quickest processing algorithm and performs well in general, corresponding to the thorough analysis. Additionally, the mixed convective and viscoelastic properties exhibit both rising and dropping developments regarding skin friction and heat transmission

Irreversibility analysis of hydromagnetic nanofluid flow past a horizontal surface via Koo-Kleinstreuer-Li (KKL) model

The goal of this research is to investigate the effects of Ohmic heating, heat generation, and viscous dissipative flow on magneto (MHD) boundary-layer heat transmission flowing of Jeffrey nanofluid across a stretchable surface using the Koo-Kleinstreuer-Li (KKL) model. Engine oil serves as the primary fluid and is suspended with copper oxide nanomolecules. The governing equations that regulate the flowing and heat transmission fields are partial-differential equations (PDEs) that are then converted to a model of non-linear ordinary differential equations (ODEs) via similarity transformation. The resultant ODEs are numerically resolved using a Keller box technique via MATLAB software that is suggested. Diagrams and tables are used to express the effects of various normal liquids, nanomolecule sizes, magneto parameters, Prandtl, Deborah, and Eckert numbers on the velocity field and temperature field. The outcomes display that the copper oxide-engine oil nanofluid has a lower velocity, drag force, and Nusselt number than the plain liquid, although the introduction of nanoparticles raises the heat. The heat transference rate is reduced by Eckert number, size of nanomolecules, and magneto parameter rising. Whilst, Deborah number is shown to enhance both the drag-force factor and the heat transfer rate. Furthermore, the discoveries reported are advantageous to upgrading incandescent lighting bulbs, heating, and cooling equipment, filament-generating light, energy generation, multiple heating devices, and other similar devices