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This study aims to provide an in-depth analysis of entropy generation (EG) during natural convection within the annular space between confocal elliptic cylinders, with a specific focus on the influence of Brownian motion on nanofluid behavior.

A finite volume control method was used to conduct a detailed numerical analysis, examining the behavior of various nanofluids across a range of volume concentrations (2%–6%) and Rayleigh numbers. The study explores heat transfer (HT) and fluid flow mechanisms, particularly highlighting the role of nanoparticle Brownian motion in enhancing thermal conductivity.

The findings reveal that increased Rayleigh numbers significantly improve HT rates, while at lower Rayleigh values, EG is primarily governed by thermodynamic irreversibility. At higher Rayleigh numbers, this irreversibility plays a less dominant role in overall entropy production.

This study offers a novel perspective on the interplay between Rayleigh numbers, Brownian motion and EG, providing valuable insights for optimizing HT processes in engineering applications involving nanofluids.

This article presents a numerical study of the heat transfer properties of a nanofluid created using engine oil as the common fluid and Fe3O4 nanoparticles within a square cavity embedded with porous media using the LTNE model in the presence of a Cattaneo–Christov heat flux. To obtain the governing boundary layer equations, the Boussinesq approximation and Darcy model are employed.

By applying the Finite Element method, the modeling equations for dimensionless vorticity, stream function and temperature contours with conforming boundary and initial conditions are scrutinized.

One important finding is that streamlines create a core vortex that is oriented centrally and has longer thermal relaxation times. In contrast, solid state isotherms are hardly affected by growth in thermal relaxation parameter values when compared to fluid state isotherms.

The research work carried out in this work is original and no part is copied from others.

The study aims to investigate the effects of bodily feelings on preference for robotic service by examining direct and indirect sensations from physical and metaphorically projected bodily feelings.

Through four empirical experiments involving video and recall tasks to metaphorically manipulate participants’ bodily warmth and directly manipulate ambient temperature, the authors explored the mediating role of the need for warmth and the moderating role of robotic features (warmth vs competence) on consumer willingness to engage with and pay for robotic services.

Warmth perception exhibits a positive correlation with robotic services. This relationship is mediated by the need for warmth. Moreover, when customers experience a sensation of physical warmth, they show a greater willingness to pay for a robotic service exhibiting competence versus warmth.

This research contributes to the literature by integrating the feelings-as-information theory and the mind perception view to understand the judgment of robotic services. It extends the application of the embodied cognition theory, highlighting the significance of bodily feelings as a source of information in customer decision-making processes. Furthermore, this research explores the metaphoric influence of service features on bodily responses, providing new insights into the role of embodiment and mental perception in robotic service evaluations.

Managers should consider using different robots based on seasonal settings to meet customers’ need for warmth. Understanding customers’ bodily feelings and the metaphoric influence of service features contributes to the design of more effective and customer-centric robotic services.

This inquiry explores the metaphoric influence of service features on bodily responses, providing new insights into the role of embodiment and mental perception in robotic service evaluations.