Analytical Investigation of Magnetic Field on Unsteady Boundary Layer Stagnation Point Flow of Water-Based Graphene Oxide-Water and Graphene Oxide-Ethylene Glycol Nanofluid over a Stretching Surface

This study explains the effect of magnetic field of the stagnation point flow of a water-based nanofluid graphene oxide-water (GO-W) and graphene oxide-ethylene glycol (GO-EG). Heat transfer analyses are discussed by converting the given partial differential equation into a nonlinear ordinary differential equation using the similarity transformation and solved using an approximate analytical method, namely, the optimal homotopy analysis method (OHAM), to obtain an approximate analytical solution of the nonlinear problem that analyzes the problem. The BVPh 2.0 package function of Mathematica is used to obtain the numerical results. The results of important parameters such as the magnetic field parameter, unsteady parameter, stretching parameter, Prandtl number, Eckert number, and kinematic parameter for both velocity and temperature profiles are plotted and discussed. The convergence control parameter of the approximate analytical method is obtained up to the 25th iteration using the BVPh 2.0 package. The skin friction coefficient and Nusselt number are explained in tabular form.

Calculation and Analysis of Hydraulic Automatic Climbing Formwork Equipment for Super-high Building Construction

Hydraulic automatic climbing formwork equipment is widely used in super-high-rise building construction due to its advantages of simple operation, fast construction speed, low cost, and high automation. Quantitative calculation of the mechanical state of climbing formwork equipment is an important technical means of ensuring safety during super-high building construction. This work thus introduces a hydraulic climbing formwork equipment structure and subsequently analyzes the construction process and the main working state of the hydraulic climbing formwork equipment. Then, for the design of the outer climbing frame of the hydraulic climbing formwork, an approximate analytical method for solving the node reaction force is proposed. Finally, combined with the actual engineering, the calculation results of the approximate analytical method and the finite element method are compared, and the calculation and analysis methods of the hydraulic climbing formwork equipment frame and key nodes are introduced. The calculation analysis process and related conclusions can be used as engineering reference for similar projects.

Dissociation Energies, r-Centroids and Franck-Condon Factors of H2 and N2+ Astrophysical Important Molecules

The potential energy curves for the ground state of diatomic H2 and N2+ molecules are constructed techniques using the five-parameter H-H function. The estimated dissociation energies are 4.61 ± 0.1 eV and 8.70 ± 0.20 eV for H2 and N2+ respectively. The estimated D0 values are in good agreement with literature values. The r-Centroids and Franck-Condon factors for the bands of C1∏u → X1Σ+g of H2 and A2∏u1 → 4Σu+ X of N2+ molecules have been determined. The Franck-Condon factors are evaluated by the approximate analytical method of Jarmain and Fraser. The absence of the bands in these systems is explained.