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This study aims to present an analysis on heat transfer attributes of fluid-particle interaction over a permeable elastic sheet. The fluid streaming on the sheet is Casson fluid (CF) with uniform distribution of dust particles.

The basic steady equations of the CF and dust phases are in the form of partial differential equations (PDEs) which are remodeled into ordinary ones with the aid of similarity transformations. In addition to analytical solution, numerical solution is obtained for the reduced coupled non-linear ordinary differential equations (ODEs) to validate the results.

The solution seems to be influenced by significant physical parameters such as CF parameter, magnetic parameter, suction parameter, fluid particle interaction parameter, Prandtl number, Eckert number and number density. The impact of these parameters on flow field and temperature for both fluid and dust phases is presented in the form of graphs and discussed in detail. The effect on skin friction coefficient and heat transfer rate is also presented in tabular form. It has been observed that an increase in the CF parameter curtails the fluid velocity as well as the particle velocity however enhances the heat transfer rate at the wall. Furthermore, comparison of the numerical and analytical solution is also made and found to be in excellent agreement.

Although the analysis of dusty fluid flow has been widely examined, however, the present study obtained both analytical and numerical results of power law temperature distribution in dusty Casson fluid under the influence of magnetic field which are new and original for such type of flow.

In various kinds of materials processes, heat and mass transfer control in nuclear phenomena, constructing buildings, turbines and electronic circuits, etc., there are numerous problems that cannot be enlightened by uniform wall temperature. To explore such physical phenomena researchers incorporate non-uniform or ramped temperature conditions at the boundary, the purpose of this paper is to achieve the closed-form solution of a time-dependent magnetohydrodynamic (MHD) boundary layer flow with heat and mass transfer of an electrically conducting non-Newtonian Casson fluid toward an infinite vertical plate subject to the ramped temperature and concentration (RTC). The consequences of chemical reaction in the mass equation and thermal radiation in the energy equation are encompassed in this analysis. The flow regime manifests with pertinent physical impacts of the magnetic field, thermal radiation, chemical reaction and heat generation/absorption. A first-order chemical reaction that is proportional to the concentration itself directly is assumed. The Rosseland approximation is adopted to describe the radiative heat flux in the energy equation.

The problem is formulated in terms of partial differential equations with the appropriate physical initial and boundary conditions. To make the governing equations dimensionless, some suitable non-dimensional variables are introduced. The resulting non-dimensional equations are solved analytically by applying the Laplace transform method. The mathematical expressions for skin friction, Nusselt number and Sherwood number are calculated and expressed in closed form. Impacts of various associated physical parameters on the pertinent flow quantities, namely, velocity, temperature and concentration profiles, skin friction, Nusselt number and Sherwood number, are demonstrated and analyzed via graphs and tables.

Graphical analysis reveals that the boundary layer flow and heat and mass transfer attributes are significantly varied for the embedded physical parameters in the case of constant temperature and concentration (CTC) as compared to RTC. It is worthy to note that the fluid velocity is high with CTC and lower for RTC. Also, the fluid velocity declines with the augmentation of the magnetic parameter. Moreover, growth in thermal radiation leads to a declination in the temperature profile.

The proposed model has relevance in numerous engineering and technical procedures including industries related to polymers, area of chemical productions, nuclear energy, electronics and aerodynamics. Encouraged by such applications, the present work is undertaken.

Literature review unveils that sundry studies have been carried out in the presence of uniform wall temperature. Few studies have been conducted by considering non-uniform or ramped wall temperature and concentration. The authors are focused on an analytical investigation of an unsteady MHD boundary layer flow with heat and mass transfer of non-Newtonian Casson fluid past a moving plate subject to the RTC at the plate. Based on the authors’ knowledge, the present study has, so far, not appeared in scientific communications. Obtained analytical solutions are verified by considering particular cases of the published works.

The metaverse is considered an evolution of the Internet, and it engages users with digital content more seamlessly due to its enhanced immersion and diverse applications. The current study examines factors affecting the intention to adopt the metaverse. Existing studies on metaverse were found insufficient in explaining users’ intention to adopt metaverse, for which the companies are investing vast amounts of money for its implementation. The study fills the research gaps in the literature and applies the UTAUT2 (Unified Theory Of Acceptance And Use of Technology) and PAD (Pleasure, Arousal, Dominance) theory in the SOR (Stimulus-Organism-Response) framework. The study proposes a conceptual model by including effort expectancy, hedonic motivation, social influence, security personalization as stimuli, arousal, dominance, pleasure, immersive experience and perceived value as organismic variables and intention to adopt metaverse as the response variable, with gender as a moderator.

The study used purposive non-probability sampling approach and total of 420 responses were collected to examine the model. The partial least squares (PLS) technique is used for data analysis using Smart PLS software.

The study’s findings suggest that social influence and immersive experience have the highest impact on perceived value which affects users’ intention to adopt metaverse. Results indicate that individuals perceive value on using metaverse when it provides enjoyment and fun as well as security. Hence, it is important to ensure not only that individuals feel hedonically motivated but also feel secured and exert less effort to use the metaverse.

The study contributes to the existing literature on metaverse and extends its association with immersive experience and the theories applied. The fundamental qualities of metaverse that contribute to its immersive and enjoyable nature can influence users' behavioral responses. Our research emphasizes the importance of executives acknowledging the development of organismic experience within metaverse.

The insights derived from this study will serve to expand the knowledge of metaverse application developers, offering valuable guidance in incorporating these factors into their development processes. By prominently displaying security measures, metaverse brands can demonstrate their commitment to mitigating risks associated with virtual interactions. This includes clearly communicating the security protocols in place to protect user data and privacy and providing detailed information about security features can build trust and alleviate concerns.

The study highlights how the metaverse features affect individuals toward its adoption intent. Specifically, the study reveals that social influence and security affect the metaverse, further affecting the adoption intent of the metaverse. This has implications for enhancing customer relationships and value cocreation with different stakeholders. The research also recognizes that security measures are necessary for metaverse technology. These reactions could include placing regulations and standards in place to deal with the social and economic effects, making sure that data is collected and used ethically, and giving privacy and security measures priority.

This paper contributes to the body of knowledge as it is the first of its kind to explore and link immersive experience, pleasure and perceived value from the metaverse’s point of view to explore the user’s adoption intention. The study also contributes to the SOR framework with UTAUT2 and PAD theories by applying it to the metaverse context, which is used in limits.