Nuclear reactor application on Jeffrey fluid flow with Falkner-skan factor,Brownian and thermophoresis,non linear thermal radiation impacts past a wedge

In this paper, an impact of non-linear thermal radiation, Brownian and thermophoresis on an MHD through a wedge with dissipative impacts for Jeffrey fluid is investigated. In addition, heat transport analysis is carried out. This work's originality is attributable to the Jeffrey fluid formulation, nonlinear thermal radiation, Brownian and Thermophoresis. The boundary layer approximations are examined, to transform the governing equations into partial differential equations. Utilizing appropriate similarity transformations, the boundary value issue is expressed in ordinary differential form. BVP4C, a nonlinear numerical method, was utilized to determine the outcomes of velocity, concentration and temperature fields at multiple points of the measured quantities. The skin friction term, Sherwood and Nusselt numbers were analyzed in depth, and the findings are achieved graphically and tabularly. A comparison via the previously published data reveals a good degree of concordance. This research focuses mostly on the modelling of flow in a nuclear reactor. The boundary layer flow caused by a wedge surface play s a crucial role the aspects of geothermal and heat exchangers systems.     

A new semi-analytical model for effective thermal conductivity of nanofluids

A new theoretical model for thermal conductivity of nanofluids is developed incorporating effective medium theory, interfacial layer, particle aggregation and Brownian motion-induced convection from multiple nanoparticles/aggregates. The predicated result using aggregate size, which represents the particle size in the actual condition of nanofluids, fits well with the experimental data for water-, R113- and ethylene glycol (EG)-based nanofluids. The present model also gives much better predictions compared to the existing models. A parametric analysis, particularly particle aggregation, is conducted to investigate the dependence of effective thermal conductivity of nanofluids on the properties of nanoparticles and fluid. Aggregation is the main factor responsible for thermal conductivity enhancement. The dynamic contribution of Brownian motion on thermal conductivity enhancement is surpassed by that of static mechanisms, particularly at high volume fraction. Predication also indicated that the viscosity increases faster than the thermal conductivity, causing the highly aggregated nanofluids to become unfavourable, especially for d_f = 1.8.     

Stochasticity in single-entity electrochemistry

Most electrochemical processes are stochastic and discrete in nature. Yet experimental observables, for example, i vs E, are typically smooth and deterministic, because of many events/processes, for example, electron transfers, being averaged together. However, when the number of entities measured approaches a few or even one, stochasticity frequently emerges. Yet all is not lost! Probabilistic and statistical interpretation can generate insights matching or superseding those from macroscale/ensemble measurements, revealing phenomena that were hitherto averaged over. Herein, we review recent literature examples of stochastic processes in single-entity electrochemistry, highlighting strategies for interpreting stochasticity, contrasting them with macroscale measurements and describing the insights generated.     

Endocytosis of a single mesoporous silica nanoparticle into a human lung cancer cell observed by differential interference contrast microscopy

The unique structural features of mesoporous silica nanoparticles (MSN) have made them very useful in biological applications, such as gene therapy and drug delivery. Flow cytometry, confocal microscopy, and electron microscopy have been used for observing the endocytosis of MSN. However, flow cytometry cannot directly observe the process of endocytosis. Confocal microscopy requires fluorescence labeling of the cells. Electron microscopy can only utilize fixed cells. In the present work, we demonstrate for the first time that differential interference contrast (DIC) microscopy can be used to observe the entire endocytosis process of MSN into living human lung cancer cells (A549) without fluorescence staining. There are three physical observables that characterize the locations of MSN and the stages of the endocytosis process: motion, shape, and vertical position. When it was outside the cell, the MSN underwent significant Brownian motion in the cell growth medium. When it was trapped on the cell membrane, the motion of the MSN was greatly limited. After the MSN had entered the cell, it resumed motion at a much slower speed because the cytoplasm is more viscous than the cell growth medium and the cellular cytoskeleton networks act as obstacles. Moreover, there were shape changes around the MSN due to the formation of a vesicle after the MSN had been trapped on the cell membrane and prior to entry into the cell. Finally, by coupling a motorized vertical stage to the DIC microscope, we recorded the location of the MSN in three dimensions. Such accurate 3D particle tracking ability in living cells is essential for studies of selectively targeted drug delivery based on endocytosis.     

Brownian motion of a polymer-bound colloidal particle

A simple model of Brownian motion of a colloidal particle attached to the flat surface by a polymer thread is presented. The model results are discussed in terms of the measurability of the elastic properties of a linear polymer chain in the dispersion medium by observation of the motion of a colloidal particle connected to a fixed point by the polymer. Received: 11 November 1998 Accepted: 9 December 1998     

Connected Triple Excitations in the Calculation of the Adiabatic Excitation Energies in the Equation-of-Motion Coupled Cluster Theory

The importance of the connected triple excitations (T ₃ operator) in the calculations of the adiabatic excitation energies are estimated for two diatomic closed shell molecules: N₂ and CO. The computations are carried out using the recently developed equation-of-motion (EOM) approach with full inclusion of the connected triple excitations [Kucharski, S. A., Woch, M., Musia, M., Bartlett, R. J. J. Chem. Phys. 2001, 115, 8263.] The effect of the T ₃ operator on the calculated excitation energies ranges from 0.1 to 0.3 eV significantly improving the results for all considered states. In all but one case the agreement with the experimental data is better than 0.05 eV.     

圆环上的无规行走

研究了半径为R的圆环上的无规行走问题,给出了n步末端向量的几率分布ω(θ,n)和均方末端距2>的数学表达式,发现当R²》nl²时,2≈nl²即还原为一维直线上无规行走的结果;而当r²《nl²时,2>≈π²r²/3.还计算了平均末端距<|r|>及k阶矩k>和半径R的关系,同时作了简单的物理讨论。     

Simultaneous sizing and electrophoretic mobility measurement of sub-micron particles using Brownian motion

The size and surface chemistry of micron scale particles are of fundamental importance in studies of biology and air particulate pollution. However, typical electrophoretic measurements of these and other sub‐micron scale particles (300 nm–1 μm) cannot resolve size information within heterogeneous mixtures unambiguously. Using optical microscopy, we monitor electrophoretic motion together with the Brownian velocity fluctuations – using the latter to measure size by either the Green–Kubo relation or by calibration from known size standards. Particle diameters are resolved to ±12% with 95% confidence. Strikingly, the size resolution improves as the particle size decreases due to the increased Brownian motion. The sizing ability of the Brownian assessed electrophoresis method described here complements the electrophoretic mobility resolution of the traditional CE.     

利用视频显微系统及开源软件追踪分析布朗运动

布朗运动理论与实验的结合,有效证实了分子热运动的存在,并可用于布朗粒子扩散系数、尺寸和阿伏伽德罗常数的确定。利用普通显微镜与智能手机实现了布朗运动显微视频的拍摄,用开源的粒子追踪程序追踪布朗颗粒的运动,使得粒子尺寸等物理量的确定非常简便;另外,也为追踪程序创建了用户友好的界面以方便操作。涉及的理论、实验及程序较适合大学生学习,可锻炼他们的动手能力和统计计算能力,并 全面理解布朗运动的概念和随机过程。     

Joule heating monitoring in a microfluidic channel by observing the Brownian motion of an optically trapped microsphere

Electric fields offer a variety of functionalities to Lab‐on‐a‐Chip devices. The use of these fields often results in significant Joule heating, affecting the overall performance of the system. Precise knowledge of the temperature profile inside a microfluidic device is necessary to evaluate the implications of heat dissipation. This article demonstrates how an optically trapped microsphere can be used as a temperature probe to monitor Joule heating in these devices. The Brownian motion of the bead at room temperature is compared with the motion when power is dissipated in the system. This gives an estimate of the temperature increase at a specific location in a microfluidic channel. We demonstrate this method with solutions of different ionic strengths, and establish a precision of 0.9 K and an accuracy of 15%. Furthermore, it is demonstrated that transient heating processes can be monitored with this technique, albeit with a limited time resolution.     

The Mathematical Theory of Ito Diffusions on Hypersurfaces, with Applications to NMR Relaxation Problems

A mathematical framework for translational Brownian motion on hypersurfaces is presented, using an imbedding of the surface and Ito diffusions in the ambient space. This includes a survey of Ito calculus and differential geometry. Computational methods for time correlation functions relevant to spin relaxation studies on curved interfaces are given, and explicit calculations of time correlation functions and order parameters for a Rippled surface are presented.     

Diffusion in Confined Geometries

Diffusive transport of particles or, more generally, small objects, is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions, transport is controlled both by the fluctuation statistics of the jittering objects and the phase space available to their dynamics. Consequently, the study of transport at the macro‐ and nanoscales must address both Brownian motion and entropic effects. Herein we report on recent advances in the theoretical and numerical investigation of stochastic transport occurring either in microsized geometries of varying cross sections or in narrow channels wherein the diffusing particles are hindered from passing each other (single‐file diffusion). For particles undergoing biased diffusion in static suspension media enclosed by confining geometries, transport exhibits intriguing features such as 1) a decrease in nonlinear mobility with increasing temperature or also 2) a broad excess peak of the effective diffusion above the free diffusion limit. These paradoxical aspects can be understood in terms of entropic contributions resulting from the restricted dynamics in phase space. If, in addition, the suspension medium is subjected to external, time‐dependent forcing, rectification or segregation of the diffusing Brownian particles becomes possible. Likewise, the diffusion in very narrow, spatially modulated channels is modified via contact particle–particle interactions, which induce anomalous sub‐diffusion. The effective sub‐diffusion constant for a driven single file also develops a resonance‐like structure as a function of the confining coupling constant.