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Nonlinear mixed-convective entropy optimized the flow of hyperbolic-tangent nanofluid (HTN) with magnetohydrodynamics (MHD) process is considered over a vertical slendering surface. The impression of activation energy is incorporated in the modeling with the significance of nonlinear radiation, dissipative-function, heat generation/consumption connection and Joule heating. Research in this area has practical applications in the design of efficient heat exchangers, thermal management systems or nanomaterial-based devices.

Suitable set of variables is introduced to transform the PDEs (Partial differential equations) system into required ODEs (Ordinary differential equations) system. The transformed ODEs system is then solved numerically via finite difference method. Graphical artworks are made to predict the control of applicable transport parameters on surface entropy, Bejan number, Sherwood number, skin-friction, Nusselt number, temperature, velocity and concentration fields.

It is noticed from present numerical examination that Bejan number aggravates for improved estimations of concentration-difference parameter a_2, Eckert number E_c, thermal ratio parameter ?_w and radiation parameter R_d, whereas surface entropy condenses for flow performance index n, temperature-difference parameter a_1, thermodiffusion parameter N_t and mixed convection parameter ?. Sherwood number is enriched with the amplification of pedesis-motion parameter N_b, while opposite development is perceived for thermodiffusion parameter. Lastly, outcomes are matched with formerly published data to authenticate the present numerical investigation.

To the best of the authors' knowledge, no investigation has been reported yet that explains the entropic behavior with activation energy in the flowing of hyperbolic-tangent mixed-convective nanomaterial due to a vertical slendering surface.

Integrating e-learning into higher education institutions (HEIs) is a complex process. Several universities had tried to impart learning online, especially amid the spread of COVID-19. However, they failed miserably due to the many barriers to online learning platforms’ delivery and acceptance. This study aims to explore the barriers and facilitators in adopting e-learning in HEIs of Pakistan by taking the perspective of key stakeholders involved in the management and administration of HEIs.

The authors recruited participants using purposive and snowball sampling. Interviews were conducted from a variety of participants, including academicians, administrators and information technology (IT) personnel. Data recorded was transcribed into verbatim and then analyzed using thematic analysis.

The analysis identified barriers and facilitators to the e-learning implementation. Barriers included lack of resources and training, lack of infrastructure, inadequate e-learning policies, absence of positive mindset among teachers and students and reservations and concerns about e-learning of parents and teachers. By contrast, facilitators included prior training and awareness (provided by HEIs regarding e-learning), the assistance of government and regulatory bodies (in terms of policy and training on e-learning), the role of IT (in development and implementation of online learning system) and good computer knowledge and skills of students and faculty. Moreover, respondents believed that teaching subjects online requires the availability of proper and complete gadgets, but these were hardly available due to high demand. Finally, the academicians and administrators believed that e-learning is indispensable in health emergencies such as COVID-19 and similar events ahead.

For the HEIs to sustain and grow, the adoption of e-learning is fundamental. Therefore, the government should provide the essential infrastructure for the HEIs to deploy e-learning modules, train faculty and ensure the availability of necessary equipment (e.g. network) and gadgets to faculty and students. From a theoretical perspective, the study provides a framework for similar future studies in other emerging markets, whereas practical implications of the study can assist the governments and HEIs of emerging markets in implementing the e-learning modes of education in times of health emergencies, such as COVID-19.