The investigation of stagnation point flow in viscoelastic fluid through a vertical sheet with Soret and Dufour effects is the focus of this study. Stream functions and similarity variables simplify the governing partial differential equations into ordinary differential equations. The model is then integrated using the MATLAB built-in solver bvp4c. In graphs and tables, the solutions for temperature profile, velocity distribution, and mass concentration, as well as their gradients at the surface, are depicted under the influence of emergent parameters that occurred in the flow equations. Physical reasoning is used to discuss the physical attitudes of physical unknown quantities of interest u... More >

In our previous companion papers “On the elliptical orbit of the Earth and the position of the Sun in the sky: an engineering approach,” and “Calculation of solar trajectory in the sky and the solar analemma as observed from the earth,” published in The NUCLEUS, we presented the computational methodology for solar trajectory in the sky and solar analemmas (as observed from the earth surface) for New York city. In this paper, the methodology has been further elaborated and the results for solar position, as observed from earth, in the holy city of Mecca, Islamabad and Mexico city, have been presented. Orbital trajectory of the real earth, and that of an imaginary earth, as assumed in... More >

The theoretical fundamentals of aerostatics governing airship flight are revisited and presented in a simple manner. In the analysis it is assumed that the airship is flying in a standard atmosphere, and that both the atmospheric air and the gas inside the envelope of the airship are governed by a polytropic thermodynamic process. The equations formulated in this paper are used to solve some of the problems that were formulated in 1923 by the designers of a slide rule. The slide rule was used by the north-american pilots of the "Blimps" in the 1920s. The models presented in this paper should be considered not only to calculate the aerostatic equilibrium of the new generation airships, but al... More >

This mini review explores the thermophysical characteristics of heat and fluid flow, emphasizing their importance in understanding environmental consequences and implications. By examining the fundamental interaction between thermal energy and fluid mechanics, this study aims to clarify how these characteristics affect ecological systems, energy efficiency, and climate change. The analysis combines theoretical frameworks with empirical data to assess heat transfer processes, fluid viscosity, and thermal conductivity in various natural and engineered settings. The results highlight the vital role of these properties in influencing environmental phenomena such as weather systems, pollutant dis... More >