Muhammad Naseer Khan 76-FBAS/PHDMA/S17

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Chiang Mai University

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Umm Al-Qura University, Makkah, Saudi Arabia

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Haneen Hamam

Basma Souayeh

University of Tunis El Manar

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Papers by Muhammad Naseer Khan 76-FBAS/PHDMA/S17

Analysis of Heat and Mass Transfer Features of Hybrid Casson Nanofluid Flow with the Magnetic Dipole Past a Stretched Cylinder

Applied Sciences, 2021

The main purpose of this research is to scrutinize the heat and mass transfer in the Casson hybri... more The main purpose of this research is to scrutinize the heat and mass transfer in the Casson hybrid nanofluid flow over an extending cylinder in the presence of a magnetic dipole and double stratification. The nanofluid contained chemically reactive hybrid nanoparticles (Ag, MgO) in the conventional fluids (water). The effects of viscous dissipation, radiation, and concentration stratification were taken into consideration. In the presence of gyrotactic microorganisms and the Non-Ficks Model, the flow was induced. Incorporating microorganisms into a hybrid nanofluid flow is thought to help stabilize the dispersed nanoparticles. For viscosity and thermal conductivity, experimental relations with related dependence on nanoparticle concentration were used. To acquire the nonlinear model from the boundary layer set of equations, suitable similarity transformations were employed. The built-in function bvp4c of Matlab software was utilized to solve the transformed equation numerically. The...

$Figure 2. Variation in f’(y) against B. The variation in the velocity profile for the several parameters is depicted in Figures 2-6. The results, indicated in Figure 2, are that the velocity profile shows a decreasing trend for the improved values of the Casson fluid parameter, while a stronger estimation of « shows the opposite trend on the velocity profile, which is lessening (see in Figure 3). The reason behind this is that the stronger resistive force occurs between the molecules of the solid surface at the wall by the escalation of the curvature parameter. Further, it is found that by the expansion of w (the curvature parameter), the radius of the cylinder condenses, thereby the low resistance is provided to the fluid motion, and hence, the fluid velocity rises. The diversion in the velocity sketch against the various values of the magnetic parameter and solid fraction parameter is found in Figures 4 and 5. It is clarified in Figure 4 that due to the occurrence of the magnetic effect, the Lorentz force appears, which yields the retardation effect whereby the fluid velocity declines. Further, the result of Figure 5 illustrates the reducing behavior by the escalation of ¢). The influence of s (velocity slip parameter) on the velocity profile is designated in Figure 6. The figure shows that declines in the fluid velocity due to increasing values of s are related to boundary layer thickness. The reason behind this is that the velocity near the cylindrical surface is not the same as the velocity away from the surface, and, therefore, the fluid velocity diminishes. i$

$Figure 7. Variation in 0(7) against B. represented in the figures that the temperature distribution improves with improved values of B and «, consequently. Figures 9 and 10 demonstrate the behavior of M (the magnetic parameter) and ¢, (the solid volume fraction parameter) on the temperature distribution. t is clarified in the figures that increases in the fluid temperature coincided with increases in the estimations of both of the parameters M and ¢,. The various consequences of Rd the radiation parameter) and Sj (the stratification parameter) against the temperature of the fluid are presented in Figures 11 and 12. It is worth mentioning, in the figures, that the strong values of Rd and S increase the temperature and the corresponding boundary layer thickness. Physically, the mean absorption coefficient is reduced for a stronger estimation of the radiation parameter, which consequently expands the thermal distribution. Further- more, as the reason behind the variations of temperature, the stratification between the surface and away from the surface decreases, and ultimately, the temperature decreases.$

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Weak Hopf Algebra and Its Quiver Representation

Mathematical Problems in Engineering, 2021

This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, i... more This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, it gave a quiver representation of the said algebra which gives rise to the various structures of the so-called weak Hopf algebra through the quiver. Furthermore, it also showed the canonical representation for each weak Hopf quiver. It was further observed that a Cayley digraph of a Clifford monoid can be embedded in its corresponding weak Hopf quiver of a Clifford monoid. This lead to the development of the foundation structures of weak Hopf algebra. Such quiver representation is useful for the classification of its path coalgebra. Additionally, some structures of module theory of algebra were also given. Such algebras can also be applied for obtaining the solutions of “quantum Yang–Baxter equation” that has many applications in the dynamical systems for finding interesting results.

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Analysis of Heat and Mass Transfer Features of Hybrid Casson Nanofluid Flow with the Magnetic Dipole Past a Stretched Cylinder

Applied Sciences, 2021

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Weak Hopf Algebra and Its Quiver Representation

Mathematical Problems in Engineering, 2021

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Muhammad Naseer Khan 76-FBAS/PHDMA/S17

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