Hall effects and entropy generation applications for peristaltic flow of modified hybrid nanofluid with electroosmosis phenomenon

The electroosmotic peristaltic flow of modified hybrid nanofluid in presence of entropy generation has been presented in this thermal model. The Hall impact and thermal radiation with help of nonlinear relations has also been used to modify the analysis. The assumed flow is considered due to a non-uniform trapped channel. The properties of modified hybrid nanofluid model are focused with interaction of three distinct types of nanoparticles namely copper ($Cu)$, silver ($Ag$) and aluminum oxide ($A{l}_2{O}_3).$ The mathematical modeling and significances of entropy generation and Bejan number are identified. With certain flow assumptions, the governing equations are attained for optimized peristaltic electroosmotic problem. Widely used assumptions of long wave length and low Reynolds number reduced the governing equations in ordinary differential equations. The ND solver is flowed for the solution process. The physical significant of results is observed by assigning the numerical values to parameters.     

Three dimensional nanofluid motion with convective boundary condition in presents of nonlinear thermal radiation via stretching sheet

In present work activation energy on 3D (“Three-Dimensional”) nanofluid (NFs) motion via stretching surface (SS) with slip condition: a statistical study. The slip velocity defined for NFs model are reduction in governing PDE’s were converted into a set of non-linear ODE’s by help of similarity transformations. Present Statistical model is taken three different systems: in which the statistical results are computed via R-K-F (“Range-Kutta-Fehlberg”) algorithm and tested these solutions with help of shooting technique and improved bvp 4th order analysis. Graphical comparisons and statistical (“Numerical”) tables are created to validation results for three different techniques. The emerging physical parameters on velocity (“axial and transverse directions”), $\theta \left(\eta \right)$ (“Temperature”) and $\phi \left(\eta \right)$ (“Concentration”). We found that, the $\theta \left(\eta \right)$ is more impact in NFs motion for enlarge statistical values of various physical parameters. Further, we compared statistical results of present study with previous results in up to six decimal places.     

Stability aspect of magnetized hybrid nanofluid with suction and injection phenomenon: Modified thermal model

Nanoparticles with ultra-high thermal efficiency and stability have dynamic applications in numerous eras of thermal sciences, including energy production, heat transmission devices, cooling and heating systems, manufacturing applications, aircraft, and solar energy, among others. This study's primary objective is to investigate the mathematical modeling using a Tiwari and Das nanofluid model, taking into account the effects of magnetic, suction/injection, and thermal radiation, as well as the stability analysis of a hybrid nanofluid containing copper ($Cu$) and alumina ($A{l}_2{O}_3$) nanoparticles in a water-based liquid. Using similarity transformations, self-similarity solutions of the system of governing ordinary differential equations (ODEs) were obtained, and the resulting ODEs were simulated using implementations of the three-stage Lobatto IIIa technique. The numerical results indicate that the energy characteristics such as thermal conductivity increase rapidly when copper nanomaterials are used. It is also noticed that the combination of both nano-materials results in an excellent energy enhancement. For the solution validation, novel stability performances for the obtained simulations are determined.     

On valency based topological properties of the starphene St[n,m,l] and fenestrene F[n,m]

In theoretical chemistry the quantitative parameters which are used to describe the atomic topology of graphs are termed as topological indices. Through these topological indices many physical and chemical characteristics such as melting point, entropy, energy generation and vaporisation enthalpy of chemical compounds can be predicted. The theory of graphs has a significant use in measuring the relationship of certain associated graphs with various topological indices. In this paper, we compute novel topological indices based on eV- and ve-degrees for starphene $\mathit{St}[n,m,l]$ and fenestrene $F[n,m]$. A Maple-based algorithm is proposed for the calculation of ve and eV-degree based topological indices from the graph adjacency matrix.     

Removal of Fe3+ from ammonium dihydrogen phosphate solution in an impact-jet hydraulic cavitation extractor

The impurity of Fe³⁺ in ammonium dihydrogen phosphate (MAP) solution has a significant influence on the morphology and quality of products. The removal of Fe³⁺ from the MAP solution by Di-(2-ethylhexyl) phosphoric acid (D2EHPA) was investigated in an impact-jet hydraulic cavitation (HC) extractor. The organic phase and aqueous phase can be highly mixed under the action of hydraulic cavitation. The extraction efficiency of 80% can be achieved when the extraction reaction was carried out for only 5 min. It was found that the extraction of Fe³⁺ with D2EHPA was an exothermic reaction, and the equilibrium equation of extraction was obtained by slope method as follows: $F{e}_{(aqu)}^{3+}+8{\left(\mathit{HD}\right)}_{2(org)}={\left(\mathit{Fe}{D}_3·13HD\right)}_{(org)}+3H_{(aqu)}^{+}$After the two-stage extraction, the extraction efficiency of up to 96.7% can be reached (only 3.4 ～ 4 ppm Fe³⁺ remained in the aqueous phase), and the MAP crystals with regular polyhedral structure, single phase nature, and high optical transmittance were obtained.