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In recent times, ternary hybrid nanofluid has garnered attention from scientist and researchers due to its improved thermal efficiency. This study aims to delve into the examination of ternary hybrid nanofluid (Al₂O₃–Cu–TiO₂/water), particularly concerning axisymmetric flow over a nonlinearly permeable stretching/shrinking disk. In addition, the investigation of convective boundary conditions and thermal radiation effects is also considered within the context of the described flow problem.

Mathematical formulations representing this problem are reduced into a set of ordinary differential equations (ODEs) using similarity transformation. The MATLAB boundary value problem solver is then used to solve the obtained set of ODEs. The impact of considered physical parameters such as suction parameter, radiation parameter, nonlinear parameter, nanoparticle volumetric concentration and Biot number on the flow profiles as well as the physical quantities is illustrated in graphical form.

The findings revealed the thermal flux for the nonlinearly shrinking disk is approximately 1.33%, significantly higher when compared to the linearly shrinking disk. Moreover, the existence of dual solutions attributed to the nonlinear stretching/shrinking disk is unveiled, with the first solution being identified as the stable and reliable solution through temporal stability analysis.

Understanding ternary hybrid nanofluid behavior and flow has applications in engineering, energy systems and materials research. This study may help develop and optimize nanofluid systems like heat exchangers and cooling systems.

The study of flow dynamics across nonlinear stretching/shrinking disk gains less attention compared to linear stretching/shrinking geometries. Many natural and industrial processes involve nonlinear changes in boundary shapes or sizes. Understanding flow dynamics over nonlinear shrinking/stretching disks is therefore essential for applications in various fields such as materials processing, biomedical engineering and environmental sciences. Hence, this study highlights the axisymmetric flow over a nonlinear stretching/shrinking disk using ternary hybrid nanofluid composed of alumina (Al₂O₃), copper (Cu) and titania (TiO₂). Besides, this study tackles a complex problem involving multiple factors such as suction, radiation and convective boundary conditions. Analyzing such complex systems can provide valuable insights into real-world phenomena where multiple factors interact.

Recent advancements in technology have led to the exploration of solar-based thermal radiation and nanotechnology in the field of fluid dynamics. Solar energy is captured through sunlight absorption, acting as the primary source of heat. Various solar technologies, such as solar water heating and photovoltaic cells, rely on solar energy for heat generation. This study focuses on investigating heat transfer mechanisms by utilizing a hybrid nanofluid within a parabolic trough solar collector (PTSC) to advance research in solar ship technology. The model incorporates multiple effects that are detailed in the formulation.

The mathematical model is transformed using suitable similarity transformations into a system of higher-order nonlinear differential equations. The model was solved by implementing a numerical procedure based on the Wavelets and Chebyshev wavelet method for simulating the outcome.

The velocity profile is reduced by Deborah's number and velocity slip parameter. The Ag-EG nanoparticles mixture demonstrates less smooth fluid flow compared to the significantly smoother fluid flow of the Ag-Fe3O4/EG hybrid nanofluids (HNFs). Additionally, the Ag-Ethylene Glycol nanofluids (NFs) exhibit higher radiative performance compared to the Ag-Fe3O4/Ethylene Glycol hybrid nanofluids (HNFs).

Additionally, the Oldroyd-B hybrid nanofluid demonstrates improved thermal conductivity compared to traditional fluids, making it suitable for use in cooling systems and energy applications in the maritime industry.

The originality of the study lies in the exploration of the thermal transport enhancement in sun-powered energy ships through the incorporation of silver-magnetite hybrid nanoparticles within the heat transfer fluid circulating in parabolic trough solar collectors. This particular aspect has not been thoroughly researched previously. The findings have been validated and provide a highly positive comparison with the research papers.

Thermophoresis deposition of particles is a crucial stage in the spread of microparticles over temperature gradients and is significant for aerosol and electrical technologies. To track changes in mass deposition, the effect of particle thermophoresis is therefore seen in a mixed convective flow of Williamson hybrid nanofluids upon a stretching/shrinking sheet.

The PDEs are transformed into ordinary differential equations (ODEs) using the similarity technique and then the bvp4c solver is employed for the altered transformed equations. The main factors influencing the heat, mass and flow profiles are displayed graphically.

The findings imply that the larger effects of the thermophoretic parameter cause the mass transfer rate to drop for both solutions. In addition, the suggested hybrid nanoparticles significantly increase the heat transfer rate in both outcomes. Hybrid nanoparticles work well for producing the most energy possible. They are essential in causing the flow to accelerate at a high pace.

The consistent results of this analysis have the potential to boost the competence of thermal energy systems.

It has not yet been attempted to incorporate hybrid nanofluids and thermophoretic particle deposition impact across a vertical stretching/shrinking sheet subject to double-diffusive mixed convection flow in a Williamson model. The numerical method has been validated by comparing the generated numerical results with the published work.

Halal certification is predominantly linked with the product and its production process. However, certifying price, place and promotion (3Ps) has not received enough attention theoretically and empirically. Against this backdrop, this study aims to unravel the halal certification of the marketing mix in Bangladesh’s cosmetics industry.

Fourteen mid and top executives from 12 national, international and multinational cosmetic companies were interviewed from November 2023 to January 2024. The data were analyzed using ATLAS.ti 2024 to showcase content, concept, sentiment, correlation, network and thematic analysis, exploring respondents’ perceptions aligned with Islamic principles.

The respondents held highly negative perceptions about certifying halal pricing, followed by promotion and supply chain or place. The mixed perceptions illustrate that certifying the halal product is easier than certifying the halal price, promotion and place (3Ps). Conditional and positive perceptions can foster halal certification of the entire marketing mix, while negative perceptions seem to be a threat to the halal cosmetics industry.

The findings have implications for academic, managerial and policymaking issues, benefiting halal cosmetics consumers. Based on this empirical study, halal stakeholders can determine the likelihood of certifying the entire marketing mix.

This study proposes certifying the halal status of the marketing mix against the backdrop of the scarcity of theoretical and practical premises.

This study aims to explore the factors influencing Muslim behavior toward halal nutraceutical products in Malaysia.

This study used a quantitative survey approach to 400 Muslim respondents in Malaysia who have experience in consuming or purchasing nutraceutical products. The sampling technique used was multistage stratified sampling, and the data was analyzed using structural equation modeling.

This study revealed that perceived safety is the most influential factor contributing to Muslims’ behavior toward halal nutraceutical products in Malaysia, followed by Islamic values, trust, religiosity, maqasid al-Shariah and halal literacy.

This study has only focused on halal nutraceutical products from the perspective of Muslim consumers in Malaysia.

This study contributes to understanding the factors that influence Muslim consumers’ behavior toward halal nutraceutical products by adopting the Social Cognitive Theory and Islamic Theory of Consumer Behavior.

Due to increasing scandals involving non-halal foods, contamination and fraudulent practices within the halal food supply chain, this paper aims to identify pivotal factors closely tied to halal food traceability and subsequently proposes a comprehensive halal food traceability model rooted in these factors.

The approach involved conducting a content analysis to meticulously gather data from existing scholarly works. Subsequently, the authors analysed this data using a thematic approach.

The extensive literature review yielded the identification of eight pivotal factors for the adoption and implementation of effective halal food traceability systems. These factors encompass consensus on halal food standards, government support, meeting consumer demands, ensuring the authenticity of halal food integrity, leveraging technological advancements, adherence to halal standards and certification systems, fostering stakeholder collaboration and promoting research and educational initiatives. Building upon these factors, this study presents a halal food traceability factorial model that can serve as a foundation for constructing a robust and readily-adoptable traceability system within Muslim countries.

The proposed halal food traceability model offers invaluable insights to stakeholders within both private enterprises and governmental bodies. By taking into account the identified factors, these stakeholders can significantly enhance their prospects for the successful adoption and implementation of traceability systems. Additionally, the paper expounds upon practical recommendations for practitioners and highlights avenues for future research aimed at establishing a robust halal traceability system across Muslim countries.

This paper stands as a significant contribution within the limited body of research addressing the development of an effective and readily-adoptable traceability model, thereby bolstering the integrity and safety of halal food. The outcomes of this paper are expected to catalyse improvements in the adoption and implementation of halal food traceability practices across Muslim nations.