The settling of particles in a square contained medium

Stokes\u27 Law, has been standardly utilized to calculate the terminal velocity of falling particles. However, the limitation of Stokes\u27 Law is that it does not take into account the container walls and their resulting drag forces. Extensive work with additional drag due to cylindrical container walls has been examined by many investigators. The classical and earliest is the well know Ladenburg Correction which cannot be utilized with non-cylindrical containers. This experimental thesis examines the analog of the Ladenburg relationship for a square container. This experimental thesis was undertaken to experimentally determine the value of the constant K1 for a square contained medium. The theoretical relationships that were previously done utilized a calculated theoretical value of the constant K1 in the formula y=~K (1 - K1 x). In this series of experiments, measurements were taken on the weight, diameter and density of the spheres utilized. Temperature dependent properties of viscosity and density of the fluid medium were measured and plotted. Actual settling velocities of the spheres were measured along with fluid medium temperatures. Because of the differences in the sphere densities and temperature differences of the fluid medium each data point was considered independently. Each data point had its unique Stokes\u27 settling velocity and this was taken into account during the calculations. The data points were plotted and computer analyzed for the constant value K1. This series of experiments has experimentally determined the value of the constant K1 to be 1.8932. This differs from the theoretically calculated K1 value of 1.903 by 0.51%. The plotted data points indicate increased scattering as the spheres become smaller. This appears to be directly related to the convection currents in the fluid medium

StarBorn : Towards making in-situ land cover data generation fun with a location-based game

University Research Priority Program: Language and Space, University of ZurichPeer reviewedPublisher PD

Outcome of aortic surgery in patients with Loeys-Dietz syndrome primarily treated as having Marfan syndrome†

OBJECTIVES Loeys-Dietz syndrome (LDS) is characterized by acute aortic dissection (AAD) at aortic diameters below thresholds for intervention in patients with Marfan syndrome (MFS). The aim was to evaluate the outcome of LDS patients primarily treated as having MFS. METHODS We analysed 68 consecutive patients who underwent surgery between 1995 and 2007 under the assumption of having MFS before retrospectively being screened for LDS when genetic testing became available. These patients were followed up until 2013, and underwent a total of 115 aortic surgeries. RESULTS Genetic testing was performed in 76% of the patients. Sixty per cent of these patients were positive for FBN1 mutations associated with MFS, 20% had no FBN1 mutation and 17% harboured TGFBR1/2 mutations associated with LDS. Mean follow-up was 12.7 ± 7 years. All-cause 30-day, 6-month and 1-year mortality rates were 2.9, 4.4 and 7.3%, respectively. Interestingly, initial presentation with AAD did not differ between LDS and MFS (33 vs 37%, P = 0.48) nor did long-term mortality compared with MFS patients (11 vs 16%, P = 1.0) or within MFS subgroups (FBN1 positive 13%, P = 1.0; FBN1 negative 10%, P = 1.0; not tested 25%, P = 0.62). There was no difference in the need for secondary total arch replacement between LDS and MFS patients (11 vs 14%, P = 1.0), nor within MFS subgroups (FBN1 positive 16%, P = 1.0; FBN1 negative 10%, P = 1.0; not tested 13%, P = 1.0). Total aortic replacement became necessary in 22% of LDS compared with 12% of MFS patients (P = 0.6) and did not differ significantly between MFS subgroups. CONCLUSIONS Although early surgical intervention in LDS is warranted to avoid AAD, the current data suggest that once the diseased segment is repaired, there seems to be no additional burden in terms of mortality or reoperation rate compared with that in MFS patients, with or without confirmed FBN1 mutatio

Charged black holes: Wave equations for gravitational and electromagnetic perturbations

A pair of wave equations for the electromagnetic and gravitational perturbations of the charged Kerr black hole are derived. The perturbed Einstein-Maxwell equations in a new gauge are employed in the derivation. The wave equations refer to the perturbed Maxwell spinor $\Phi_0$ and to the shear $\sigma$ of a principal null direction of the Weyl curvature. The whole construction rests on the tripod of three distinct derivatives of the first curvature $\kappa$ of a principal null direction.Comment: 12 pages, to appear in Ap.

Tunable Depletion Potentials Driven By Shape Variation Of Surfactant Micelles

Depletion interaction potentials between micron-sized colloidal particles are induced by nanometer-scale surfactant micelles composed of hexaethylene glycol monododecyl ether (C12E6), and they are measured by video microscopy. The strength and range of the depletion interaction is revealed to arise from variations in shape anisotropy of the surfactant micelles. This shape anisotropy increases with increasing sample temperature. By fitting the colloidal interaction potentials to theoretical models, we extract micelle length and shape anisotropy as a function of temperature. This work introduces shape anisotropy tuning as a means to control interparticle interactions in colloidal suspensions, and it shows how the interparticle depletion potentials of micron-scale objects can be employed to probe the shape and size of surrounding macromolecules at the nanoscale

Quantum Multibaker Maps: Extreme Quantum Regime

We introduce a family of models for quantum mechanical, one-dimensional random walks, called quantum multibaker maps (QMB). These are Weyl quantizations of the classical multibaker models previously considered by Gaspard, Tasaki and others. Depending on the properties of the phases parametrizing the quantization, we consider only two classes of the QMB maps: uniform and random. Uniform QMB maps are characterized by phases which are the same in every unit cell of the multibaker chain. Random QMB maps have phases that vary randomly from unit cell to unit cell. The eigenstates in the former case are extended while in the latter they are localized. In the uniform case and for large $\hbar$, analytic solutions can be obtained for the time dependent quantum states for periodic chains and for open chains with absorbing boundary conditions. Steady state solutions and the properties of the relaxation to a steady state for a uniform QMB chain in contact with ``particle'' reservoirs can also be described analytically. The analytical results are consistent with, and confirmed by, results obtained from numerical methods. We report here results for the deep quantum regime (large $\hbar$) of the uniform QMB, as well as some results for the random QMB. We leave the moderate and small $\hbar$ results as well as further consideration of the other versions of the QMB for further publications.Comment: 17 pages, referee's and editor's comments addresse

A Novel Low-Cost, Recyclable, Easy-to-Build Robot Blimp For Transporting Supplies in Hard-to-Reach Locations

Rural communities in remote areas often encounter significant challenges when it comes to accessing emergency healthcare services and essential supplies due to a lack of adequate transportation infrastructure. The situation is further exacerbated by poorly maintained, damaged, or flooded roads, making it arduous for rural residents to obtain the necessary aid in critical situations. Limited budgets and technological constraints pose additional obstacles, hindering the prompt response of local rescue teams during emergencies. The transportation of crucial resources, such as medical supplies and food, plays a vital role in saving lives in these situations. In light of these obstacles, our objective is to improve accessibility and alleviate the suffering of vulnerable populations by automating transportation tasks using low-cost robotic systems. We propose a low-cost, easy-to-build blimp robot (UAVs), that can significantly enhance the efficiency and effectiveness of local emergency responses.Comment: IEEE Global Humanitarian Technology Conference (GHTC 2023

Thermal Wadis in Support of Lunar Exploration: Concept Development and Utilization

Thermal wadis, engineered sources of heat, can be used to extend the life of lunar rovers by keeping them warm during the extreme cold of the lunar night. Thermal wadis can be manufactured by sintering or melting lunar regolith into a solid mass with more than two orders of magnitude higher thermal diffusivities compared to native regolith dust. Small simulant samples were sintered and melted in the electrical furnaces at different temperatures, different heating and cooling rates, various soaking times, under air, or in an argon atmosphere. The samples were analyzed with scanning electron microscopy and energy dispersive spectroscopy, X-ray diffraction, a laser-flash thermal diffusivity system, and the millimeter-wave system. The melting temperature of JSC-1AF simulant was ~50°C lower in an Ar atmosphere compared to an air atmosphere. The flow of Ar during sintering and melting resulted in a small mass loss of 0.04 to 0.1 wt% because of the volatization of alkali compounds. In contrast, the samples that were heat-treated under an air atmosphere gained from 0.012 to 0.31 wt% of the total weight. A significantly higher number of cavities were formed inside the samples melted under an argon atmosphere, possibly because of the evolution of oxygen bubbles from iron redox reactions. The calculated emissivity of JSCf-1AF simulant did not change much with temperature, varying between 0.8 and 0.95 at temperatures from 100 to 1200°C. The thermal diffusivities of raw regolith that was compressed under a pressure of 9 metric tons ranged from 0.0013 to 00011 in the 27 to 390°C temperature range. The thermal diffusivities of sintered and melted JSC-1AF simulant varied from 0.0028 to 0.0072 cm2/s with the maximum thermal diffusivities observed in the samples that were heated up 5°C/min from RT to 1150°C under Ar or air. These thermal diffusivities are high enough for the rovers to survive the extreme cold of the Moon at the rim of the Shackleton Crater and allow them to operate for months (or years) as opposed to weeks on the lunar surface. Future investigations will be focused on a system that can efficiently construct a thermal wadi from the lunar mare regolith. Solar heating, microwave heating, or electrical resistance melting are considered