The present mathematical model endeavors to undertake a rigorous thermodynamic analysis concerning the peristaltic transport of a MoS 2 / C 2 H 6 O 2 − H 2 O ${\mathrm{MoS}}_2/{{\mathrm{C}}}_2{{\mathrm{H}}}_6{{\mathrm...
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The present mathematical model endeavors to undertake a rigorous thermodynamic analysis concerning the peristaltic transport of a MoS 2 / C 2 H 6 O 2 − H 2 O ${\mathrm{MoS}}_2/{{\mathrm{C}}}_2{{\mathrm{H}}}_6{{\mathrm{O}}}_2 - {{\mathrm{H}}}_2{\mathrm{O}}$ (50%–50%) nanofluid having variable thermophysical characteristics. The analysis takes into account important aspects, such as nanoparticles geometries, mixed convection, variable thermal conductivity, an induced magnetic field (IMF), a porous medium, and variable viscosity. The investigation also explores the role of entropy generation in the context of thermodynamics and heat transfers, aiming to detect and mitigate system inefficiencies and irreversibility. The novelty of the present study is to explore a thermodynamic analysis for the peristaltic transport of an incompressible nanofluid containing MoS 2 ${\mathrm{MoS}}_2$ nanomaterials within a C 2 H 6 O 2 − H 2 O ${{\mathrm{C}}}_2{{\mathrm{H}}}_6{{\mathrm{O}}}_2 - {{\mathrm{H}}}_2{\mathrm{O}}$ (50%–50%) hybrid base fluid flowing through a symmetric channel. To simplify the governing transport equations, the lubrication approach is employed, leading to a system of nonlinear equations that are numerically solved. Notably, the research underscores the potential to minimize entropy generation by increasing the thermal conductivity parameter. Furthermore, the study reveals that the Bejan number exhibits a declining trend as the permeability parameter reaches higher values. An intensification in the magnetic Reynolds number is found to enhance the magnitude of the axial-induced magnetic field along the channel wall, reflecting the impact of magneto-hydrodynamic interactions within the nanofluid. Lastly, the research shows that spherical-shaped nanoparticles result in the highest nanofluid flow, while platelet-shaped nanoparticles lead to the lowest flow, highlighting the significant influence of nanoparticle geometry on fluid dynamics in the nanofluid.
We have investigated the solidified microstructure of nucleation-generated grains obtained via complete melting of Si films on SiO2 at high nucleation temperatures. This was achieved using a high-temperature-capable h...
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We have investigated the solidified microstructure of nucleation-generated grains obtained via complete melting of Si films on SiO2 at high nucleation temperatures. This was achieved using a high-temperature-capable hot stage in conjunction with excimer laser irradiation. As predicted by the direct-growth model that considers (1) the evolution in the temperature of the solidifying interface and (2) the subsequent modes of growth (consisting of amorphous, defective, and epitaxial) as key factors, we were able to observe the appearance of “normal” grains that possess a single-crystal core area. These grains, which are in contrast to previously reported flower-shaped grains that fully make up the microstructure of the solidified films obtained via irradiation at lower preheating temperatures (and amongst which these “normal” grains emerge), indicate that epitaxial growth of nucleated crystals must have taken place within the grains. We discuss the implications of our findings regarding (1) the validity of the direct-growth model, (2) the nature of the heterogeneous nucleation mechanism, and (3) the alternative explanations and assumptions that have been previously employed in order to explain the microstructure of Si films obtained via nucleation and growth within the complete melting regime.
Single particle cryo-electron microscopy (EM) is an increasingly popular method for determining the 3-D structure of macromolecules from noisy 2-D images of single macromolecules whose orientations and positions are r...
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We establish a scale separation of Kolmogorov width type between subspaces of a given Banach space under the condition that a sequence of linear maps converges much faster on one of the subspaces. The general techniqu...
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The paper studies a class of quantum stochastic differential equations, modeling an interaction of a system with its environment in the quantum noise approximation. The space representing quantum noise is the symmetri...
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By direct numerical simulations of the plane Couette flow (PCF) in a large computational domain, it is shown that an isolated turbulent band decays monotonically at low Reynolds numbers but experiences transient growt...
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By direct numerical simulations of the plane Couette flow (PCF) in a large computational domain, it is shown that an isolated turbulent band decays monotonically at low Reynolds numbers but experiences transient growth before the eventual relaminarization at moderate Reynolds numbers. The lower bound Reynolds number of the transient-growth regime is determined as 286. The width, length, and tilt angle of the iso- lated band structure are defined based on the disturbance kinetic energy in the mid-plane, and the geometric characteristics of the band can be described with a tilted rectangle. It is illustrated that before its eventual fragmentation, the isolated turbulent band decays in a style of longitudinal contraction, where the center, width, and tilt angle of the band keep almost constant but the band length contracts with a statistically constant velocity.
We propose the coarse-grained spectral projection method (CGSP), a deep learning-assisted approach for tackling quantum unitary dynamic problems with an emphasis on quench dynamics. We show CGSP can extract spectral c...
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This paper establishes some hidden connections between the theory of generalized algebraic multiplicities, the intersection index of algebraic varieties, and the notion of orientability of vector bundles. The novel ap...
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Preeclampsia is the highest cause of maternal death. One program to reduce Maternal Mortality Rate (MMR) is by early detection. The incomplete history of maternal history that has occurred has led to the determination...
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This paper consists of four parts. It begins by using the authors’s generalized Schauder formula, [50], and the algebraic multiplicity, χ, of Esquinas and López-Gómez [18, 17, 40] to package and sharpening...
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