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A novel type of heat transfer fluid known as hybrid nanofluids is used to improve the efficiency of heat exchangers. It is observed from literature evidence that hybrid nanofluids outperform single nanofluids in terms of thermal performance. This study aims to address the stagnation point flow induced by Williamson hybrid nanofluids across a vertical plate. This fluid is drenched under the influence of mixed convection in a Darcy–Forchheimer porous medium with heat source/sink and entropy generation.

By applying the proper similarity transformation, the partial differential equations that represent the leading model of the flow problem are reduced to ordinary differential equations. For the boundary value problem of the fourth-order code (bvp4c), a built-in MATLAB finite difference code is used to tackle the flow problem and carry out the dual numerical solutions.

The shear stress decreases, but the rate of heat transfer increases because of their greater influence on the permeability parameter and Weissenberg number for both solutions. The ability of hybrid nanofluids to strengthen heat transfer with the incorporation of a porous medium is demonstrated in this study.

The findings may be highly beneficial in raising the energy efficiency of thermal systems.

The originality of the research lies in the investigation of the Darcy–Forchheimer stagnation point flow of a Williamson hybrid nanofluid across a vertical plate, considering buoyancy forces, which introduces another layer of complexity to the flow problem. This aspect has not been extensively studied before. The results are verified and offer a very favorable balance with the acknowledged papers.

This study aims to investigate the effect of externally applied magnetic force and heat transfer with a heat source/sink on the Couette flow with viscous dissipation in a horizontal rotating channel. The magnetic force is added to the governing equations. The effects of fluid flow parameters are observed under the applied magnetic force. In this system, the magnetic force is applied perpendicular to the plane of the fluid flow. In recent years, the magnetic field has renewed interest in aerospace technology. The physical and theoretical approach in the multidisciplinary field of magneto fluid dynamics (MFD) is applied in the field of aerospace vehicle design.

Authors use the perturbation method to solve and find the approximate solutions of differential equations. First, convert the partial differential equation to ordinary differential equation and calculate the approximate solutions in two cases. The first solution got by assuming heat generating in the fluid and the second one got when heat absorbing. After applying the external magnetic force, the effects of various fluid parameters velocity, temperature, skin friction coefficient and Nusselt number are found and discussed using tables and graphs.

It is found that the velocity of the fluid has decreased tendency when the rotation of the fluid and magnetic force on the fluid increases. The temperature of the fluid, Prandtl value and Eckert number increased when the heat source generated heat. When heat absorbs the heat, sink parameter increases and the temperature of the fluid decreases. Also, while heat absorbs, the temperature increases when the Prandtl value and Eckert number increase.

The skin friction coefficient on the surface increases, when the rotation parameter and the magnetic force parameter of the fluid increase. In the case of heat generating, the Nusselt number increased, while the Eckert number and Prandtl numbers increased. Also, the Nusselt number has larger values when the heat source parameter has near the constant temperature, and it has smaller values when the temperature varies. In the case of heat-absorbing, the Nusselt number decreased when the Eckert and Prandtl numbers increased. Also, the Nusselt number varies up and down while the heat absorbing parameter increases.

This paper aims to outline the role that serendipity can play in providing a complementary and previously unrepresented vector in deliberate and emergent strategies within organizations.

The paper is conceptual in nature and draws upon the serendipity pattern in sociological theory and serendipitous relations in developmental sciences to provide a framework for executives to consider when examining the process of strategy formation. Two case vignettes are used to illustrate the difference between luck and serendipity and the paper also traces key micro foundations of serendipity by returning to the original serendipity fable and a famed science experiment producing “floppy-eared” rabbits.

The notion of chance favoring the “prepared firm” is espoused where the prepared organizational mind is positioned as an antecedent of serendipitous strategy formation. This is based on Louis Pasteur’s famous aphorism, “chance favors the prepared mind.” Components of the prepared firm include deep domain knowledge, anticipatory mindset, noticing, abductive reasoning, elaboration and relations development.

The paper is a conceptual articulation of a novel concept that now requires deeper empirical case development and ultimately statistical validation. The paper suggests linkages between serendipity and theories of absorptive capacity and the attention-based view of the firm.

Several mindsets, capabilities and relations for architecting organizational serendipity are suggested for executives using a stylized framework.

From a strategy process perspective, the Mintzberg and Waters seminal article “Of strategies deliberate and emergent” is complemented by considering “floppy-eared” strategy characterized by unexpected, anomalous and strategic datum.