The influence of interactions between two high-rise buildings on the wind-induced moment

Yadav, Himanshu; Roy, Amrit Kumar; Kumar, Anoop

doi:10.1007/s42107-023-00781-4

Cited by 4 publications

(1 citation statement)

References 25 publications

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“…In addition, the model, which will be simulated using the free code NgSpice [34], should allow the study of both the evolution and distribution of temperatures in the splat as well as the cooling rate. The network simulation method, like other methodologies [35][36][37][38][39][40], makes it possible to solve coupled systems of partial differential equations that represent the science or engineering problem to be solved. The importance of this method lies in the fact that if any problem is well defined, it can be solved by following a series of application rules.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling and Analysis Using Nondimensionalization Technique of the Solidification of a Splat of Variable Section

Sánchez-Pérez,

Jorde-Cerezo,

Fernández-Roiz

et al. 2023

Mathematics

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In this work, the solidification and cooling process of an irregularly shaped splat is modeled using the network simulation method. The procedure for its implementation, which uses the finite difference method and optimized circuit analysis algorithms, allows the precise incorporation and assessment of the effect of certain conditions in the thermal process, offering its specificity and high performance in numerical simulation. It should be noted, on the one hand, that the geometry used for the simulation has been obtained from experimental splat data visualized using an electron microscope and, on the other hand, that the model implements both the phase change phenomenon and the variability of the material properties with temperature. Finally, the study of the physical behavior of the problem is carried out using the mathematical technique of nondimensionalization, allowing the interpretation of the results obtained by simulation, where the formation of horizontal bars and columns that maintain the structure of the splat while the solidification process is taking place stands out. It is worth highlighting the obtaining, among others, of two monomials. The first relates the phenomenon of radiation to conduction and is equivalent to the Nusselt number with convection, and the second relates the solidification time with the Stefan number.

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