• Bulletin of the Korean Mathematical Society
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• v.61 no.4
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• pp.1121-1136
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• 2024

In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for the tilted Carathéodory function of order β and angle α (α ∈ (-π/2, π/2) and β ∈ [0, cos α)), which maps the unit disk 𝔻 into the region {w ∈ ℂ : Re{e^iαw} > β}. Using these conditions, we also derive conditions for an analytic function that maps 𝔻 into a sector defined by {w ∈ ℂ : | arg(w - γ)| < (π/2)δ}, where γ ∈ [0, 1) and δ ∈ (0, 1]. The results obtained here will be applied to find some conditions for spirallike functions and strongly starlike functions in 𝔻.

• Journal of the Korean Crystal Growth and Crystal Technology
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• v.6 no.2
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• pp.185-193
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• 1996

$2.5^{\circ}\;and\;5^{\circ}$ tilted (100) Si wafer were oxidized in dry oxygen, and the differences in thermal oxidation behavior and oxidation induced stacking faults (OSF) between specimens were investigated. Ellipsometer measurements of the oxide thickness produced by oxidation in dry oxygen from 900 to $1200^{\circ}C$ showed that the oxidation rates of the tilted (100) Si were more rapid than those of the (100) Si and the differences between them decreased as the oxidation temperature increased. The activation energies based on the parabolic rate constant, B for (100) Si, $2.5^{\circ}$ off (100) Si and $5^{\circ}$ off (100) Si were 27.3, 25.9, 27.6 kcal/mol and those on the linear rate constant, B/A were 58.6, 56.6, 57.6 kcal/mol, respectively. Also, considerable decrease in the density of oxidation induced stacking faults for the $5^{\circ}$ off (100) Si was observed through optical microscopy after preferentially etching off the oxide layer, and the angle of stacking faults were changed with tilted angles.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 2005.05a
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• pp.181-184
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• 2005

In this paper, we have improved a novel fast response time liquid crystal operating mode using tilt angle in the unique condition by hot-plate equipment. The new control of tilt angle for nematic liquid crystal (NLC) with negative and positive dielectric anisotropy on the rubbed homeotropic polyimide (PI) using baking method by Hot-plate equipment was investigated. LC tilt angle decreased with increasing baking temperature and time. Especially, the low LC tilt angle of positive type NLC (${\Delta}n$>0) on the rubbed homeotropic PI surface by increasing temperature and time was measured. The EO characteristics of the high tilted OCB(HTOCB) mode using control of tilt angle on the homeotropic surface than that of conventional OCB cell can be improved. We suggest that the developed the HTOCB cell using control of tilt angle on the homeotropic surface is a promising technique for the achievement of a fast response time and a high contrast ratio.

• Journal of Biosystems Engineering
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• v.35 no.5
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• pp.350-356
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• 2010

The fans installed in standard Hanwoo loose barns (room size : 10 m (width) $\times$ 5 m (length)) are frequently used to reduce Hanwoo's heat stress during hot weather and to dry the wet floor. However, the most effective method of installing fans has not been suggested yet. Therefore, this study was carried out to evaluate two methods of installing fans under the ceiling of Hanwoo loose barn by using CFD (Computational Fluid Dynamics) code, FLUENT and to recommend the optimum fan installing method. The fan installation options were fan tilting angles of $45^{\circ}$ and $0^{\circ}$ (horizontal). The fans of 1 m diameter were installed at 3 m above floor. A velocity scale on 10 cm and 110 cm above floor and air flow pattern were used as the parameters to evaluate the fan installing methods. The fans tilted at $45^{\circ}$ angle produced higher wind at 10 cm and 110 cm above floor and more uniform air flow pattern, compared with the fans installed horizontally. Based on these results, fans tilted at $45^{\circ}$ angle may help to reduce Hanwoo's heat stress and will dry the floor better than fans installed horizontally. Therefore, it is suggested that the fans of 1 m diameter in a standard Hanwoo loose barn should be installed at a $45^{\circ}$ tilt angle and 3 m above floor with spacing of 5 m at the center of a room column.

• Journal of the Korean Society of Costume
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• v.62 no.1
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• pp.76-89
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• 2012

This study was performed to offer the basic data for the design of farm shoes. 265 Korean female farmers aging between the 40s to the 80s volunteered for this study and we measured 40 items on each foot with the 3D foot scanner. First, the differences between farmers' feet and non-farmers' feet were analyzed. Farmers' feet were thicker in the instep areas, but had lower arch height than non-farmers' feet. In addition, farmer's feet were tilted to the inside. Next, eight factors were extracted among the 40 measuring items, and the classification criteria of the foot shape was analyzed. The important factors were: size of foot length and volume of ankle, malleolus height and size, volume of the front part of ankle, medial & lateral ball width, and vertical size of foot. Third, three clusters according to the foot shapes were categorized by cluster analysis of eight factor scores. Foot type 1 was medium in foot length, big in thickness, large in lateral ball width, small in toe 1 angle, and tilted to the inside. Foot type 2 was long and slim, and big in toe 5 angle. Foot type 3 was short in foot length, medium in volume of the front part of ankle, large in medial ball width, and big in toe 1 angle. Despite its shortness, foot type 3 was thick and showed severe deformation in toe 1. Lastly, the frequency distributions of the foot types in each age group were analyzed. Female farmers of the forties showed high frequency in type 1 and other age groups showed high frequency in type 2. The older female farmers showed higher frequency of type 3.

• The Transactions of The Korean Institute of Electrical Engineers
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• v.62 no.3
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• pp.371-375
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• 2013

A new model about output power prediction of PV module with various tilted angles and cell to cell distances has been proposed in this paper. Light intensity arrived on a solar cell could be changed by characteristics of PV module materials. Refractive indices, thickness and absorption coefficients of glass, EVA, solar cell and Backsheet are used to predict output. Also, the incident angle of light is changed 0 to 90[$^{\circ}$] and cell to cell distances are 5, 10 15[mm]. Two types of light incident on a solar cell are considered which are direct to a solar cell and reflected from Backsheet. The intensity of the incident light directly into the solar cell is reduced through glass and EVA about 17.5[%] in theoretical way. It has an error of 2.26[%] compared with experimental result. The results for compare theoretical with experimental data is validated within the error of 6.3[%]. This paper would be a research material to predict output power when the PV module is installed outdoor or a building.

• Korean Journal of Materials Research
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• v.32 no.12
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• pp.553-559
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• 2022

In this work, the ablation behavior of monolith ZrB₂-30 vol%SiC (Z30S) composites were studied under various oxy-acetylene flame angles. Typical oxidized microstructures (SiO₂/SiC-depleted/ZrB₂-SiC) were observed when the flame to Z30S was arranged vertically. However, formation of the outmost glassy SiO₂ layer was hindered when the Z30S was tilted. The SiC-depleted region was fully exposed to air with reduced thickness when highly tilted. Traces of the ablated and island type SiO₂ were observed at intermediate flame angles, which clearly verified the effect of flame angle on the ablation of the SiO₂ layer. Furthermore, the observed maximum surface temperature of the Z30S gradually increased up to 2,200 ℃ proving that surface amorphous silica was continuously removed while monoclinic ZrO₂ phase began to be exposed. A proposed ablation mechanism with respect to flame angles is discussed. This observation is expected to contribute to the design of complex-shaped UHTC applications for hypersonic vehicles and re-entry projectiles.

• Journal of electromagnetic engineering and science
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• v.18 no.1
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• pp.13-19
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• 2018

Wireless power transfer (WPT) based on magnetic resonant coupling is a promising technology in many industrial applications. Efficiency of the WPT system usually depends on the tilt angle of the transmitter or the receiver coil. This work analyzes the effect of the tilt angle on the efficiency of the WPT system with horizontal misalignment. The mutual inductance between two coils located at arbitrary positions with tilt angles is calculated using a numerical analysis based on the Neumann formula. The efficiency of the WPT system with a tilted coil is extracted using an equivalent circuit model with extracted mutual inductance. By analyzing the results, we propose an optimal tilt angle to maximize the efficiency of the WPT system. The best angle to maximize the efficiency depends on the radii of the two coils and their relative position. The calculated efficiencies versus the tilt angle for various WPT cases, which change the radius of RX ($r_2=0.075m$, 0.1 m, 0.15 m) and the horizontal distance (y=0 m, 0.05 m, 0.1 m), are compared with the experimental results. The analytically extracted efficiencies and the extracted optimal tilt angles agree well with those of the experimental results.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.20 no.6
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• pp.577-582
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• 2010

The squeak propensity in the gear box of an automotive seat system is investigated analytically. The mating parts in the gear box are the lead screw and the nut, where the friction stresses are exerted on the thread of the screw. The lead screw is modeled as a circular beam allowing the bending and torsional vibrations. In the system, the lead screw converts rotating to translating motion so that it moves the automotive seat slightly tilted on the floor. The tilting angle is considered one major parameter in this study. Therefore, the equations of motion associated with the non-conservative friction force are derived with the inclusion of the tilting angle. It is found that the squeak noise corresponds to the several bending modes of the lead screw and its propensity is increased by the tilting angle of the seat.

• 한국태양에너지학회:학술대회논문집
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• 2008.11a
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• pp.208-213
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• 2008

Since The measured solar radiation incident on tilted surfaces by all directions has been widely used as important solar radiation data in installing solar flat-plate collectors. To maximize the incident beam radiation, the slope, which is the angle between the plane of the surface in question and the horizontal, and the solar azimuth angles are needed for these solar thermal systems. This is because the performance of the solar thermal system is much affected by angle and direction of incident rays. Recognizing those factors mentioned above are of importance, actual experiment has been performed in this research to obtain the angle of inclination with which the maximum incident rays can be absorbed. The results obtained in this research could be used in installing optimal solar flat-plate collectors.