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The purpose of this paper is to establish a rapid and effective numerical model of thin film lubrication with clear physical conception, in which viscosity variation along the direction of film thickness was used instead of average viscosity, and continuous Reynolds equation was used in the calculation of thin film lubrication.

Based on rheology and thin film lubrication with point contact and considering features of shear thinning and like-solidification of lubricant oil in the thin film lubrication state, a modified formula with overall average equivalent viscosity was proposed by combining numerical calculation and experiment data.

It is a fast and efficient method for film lubrication state simulation.

Thin film lubrication research on a nanoscale is very popular, and a variety of thin film lubrication models are proposed. Due to the complexity of thin film lubrication, it is still in the stage of revealing law and establishing calculation model.

The key issue is how to obtain the viscosity correction formula derived from engineering practice, also considered the lubricating oil class solidification and shear-thinning properties on thin film lubrication, while based on the system experiment, the viscosity modified formula for the gap, speed changes are proposed to obtain the overall average equivalent viscosity which makes the thin film lubrication micro to macro, so that a clear physical meaning for thin-film lubrication numerical calculation model is established.

This study examined the students' academic performance through psychological capital, academic engagement and academic persistence. It also investigated the function of psychological capital in mediating the relationship between academic engagement, persistence and performance.

The study utilized a quantitative method and structural equation modeling using PLS-SEM version 3. A total of 900 questionnaires were issued to Chinese university students, and 814 data were analyzed.

Findings suggest that academic engagement and persistence significantly and positively impact psychological capital. Psychological capital is also mediated between academic engagement, persistence and performance. Additionally, the study made several recommendations for upcoming researchers and industry professionals.

Analyzing the pupils' academic achievement after COVID-19 reopening as it indicates their attention and engagement in the study. Although previous studies explored students' academic performance regarding the post-COVID effect, the role of psychological capital and engagement in academia in the study has been studied in a post-COVID context.