• International Journal of Aeronautical and Space Sciences
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• 제15권4호
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• pp.444-453
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• 2014

A throttleable rocket engine enables operational possibilities such as the docking of spacecraft, maneuvering in a certain orbit and landing on a planet's surface, altitude control, and entrance to atmosphere-less planets. Thus, throttling methods have long been researched. However, dual-manifold injectors, which represent one throttling method, have been investigated less than others. In this study, dual-manifold and single-manifold injectors were compared to determine the characteristics of dual-manifold injectors. Also, the effects of gas injection were investigated with various F/O ratios. To investigate the characteristics, mass flow rate, spray pattern, spray angle, and droplet size were measured. The spray angle and droplet size were captured by indirect photography. About 30 images were taken to assess the spray patterns and spray angle. Also, 700 images were analyzed to understand the droplet distribution and targeting area, moving to the right from the centerline with 1.11-cm intervals. The droplet size was obtained from an image processing procedure. From the results, the spray angle showed two transition regions, due to swirl momentum in the swirl chamber regardless of the F/O ratio. The droplet size showed similar trends in both dual-manifold and single-manifold injectors except in the low mass flow rate region. In the case of the dual- manifold injector, the spray cone was not fully developed in the low mass flow rate region due to low angular momentum in the swirl chamber.

• 한국추진공학회지
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• 제15권3호
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• pp.22-30
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• 2011

추력변화를 위한 방법에는 여러 가지가 있는데, 고압력 강하 시스템, 이중 매니폴드 분사기, 가스 분사, 다중 챔버, 펄스 추력, 움직이는 분사기 구성요소 등이 있다. 이 중에서 이중 매니폴드 분사기의 경우에는 하나의 분사기 구조에 서로 다른 두 개의 매니폴드를 가지는 분사기를 결합하는 방식의 분사기인데, 각 분사기는 각각의 연료 공급시스템을 독립적으로 가지고 있어 각 매니폴드마다 독립적으로 유량을 조절 할 수 있다. 본 논문에서는 이중 매니폴드 분사기를 사용하여 넓은 추력범위에서 연료분사의 안정성을 판단하기 위하여 각 매니폴드의 접선방향 유입구 넓이의 비와 분사압력에 따라 분사 형상을 측정하고, 분사기 오리피스 끝단에서 액막 두께를 측정하였다.

• Korean Journal of Mathematics
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• 제13권1호
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• pp.51-59
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• 2005

Let (M, $g$) be a compact oriented self-dual 4-dimensional Einstein manifold with positive sectional curvature. Then we show that, up to rescaling and isometry, (M, $g$) is $S^4$ or $\mathbb{C}\mathbb{P}_2$, with their cannonical metrics.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제11권5호
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• pp.2607-2627
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• 2017

Nonnegative matrix factorization (NMF) has received considerable attention due to its effectiveness of reducing high dimensional data and importance of producing a parts-based image representation. Most of existing NMF variants attempt to address the assertion that the observed data distribute on a nonlinear low-dimensional manifold. However, recent research results showed that not only the observed data but also the features lie on the low-dimensional manifolds. In addition, a few hard priori label information is available and thus helps to uncover the intrinsic geometrical and discriminative structures of the data space. Motivated by the two aspects above mentioned, we propose a novel algorithm to enhance the effectiveness of image representation, called Dual graph-regularized Constrained Nonnegative Matrix Factorization (DCNMF). The underlying philosophy of the proposed method is that it not only considers the geometric structures of the data manifold and the feature manifold simultaneously, but also mines valuable information from a few known labeled examples. These schemes will improve the performance of image representation and thus enhance the effectiveness of image classification. Extensive experiments on common benchmarks demonstrated that DCNMF has its superiority in image classification compared with state-of-the-art methods.

• 호남수학학술지
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• 제46권2호
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• pp.224-236
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• 2024

This study inspects the structure of CR-product of a holomorphic statistical manifold. Findings concerning geodesic submanifolds and totally geodesic foliations in the context of dual connections have been demonstrated. The integrability of distributions in CR-statistical submanifolds has been characterized. The statistical version of CR-product in the holomorphic statistical manifold has been researched. Additionally, some assertions for curvature tensor field of the holomorphic statistical manifold have been substantiated.

• 대한수학회보
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• 제40권1호
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• pp.109-122
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• 2003

In this paper we give a characterization of an irreducible connection with harmonic curvature over a connected Kaehler manifold to be self-dual. Also we introduce new notions of $c_{i}-self-dual$ or Kaehler Yang-Mills connections on compact Kaehler manifolds and investigate some fundamental properties of this kind of new connections. Moreover, on a compact odd dimensional Riemannian manifold we give a property of generalized monopole.

• 전자공학회논문지A
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• 제32A권6호
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• pp.787-798
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• 1995

We implement the E-plane T-juncition manifold mutiplexer having low insertion loss for output multiplexer of Ku-band satellite transponder. Manifold multiplexer implemented here is composed of 2 channel filters, T-junctions, half-wave waveguide connecting channel filters and manifold, and manifold itself.[1-4] Considering the mass and volume of the satellite transponder, the channel filters are designed to dual-mode.[5-13] And Elliptic filter function is used, which has good characteristics of suppressing the interference between 2 channels. Since the performance of manifold multiplexer depends on the manifold waveguide transmission line length, it's necessary proper analysis. In this paper, we do optimization process of T-junction and other elements by using CAD and implement the manifold multiplexer. An experiment shows that characteristic response of multiplexer matches wel its modeling result.

• 대한수학회보
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• 제28권2호
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• pp.225-229
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• 1991

Our final purpose may be to introduce generalized differential forms on the space Map(S, M) of mappings from a manifold S into a manifold M and discuss the differential geometry of the space Map(S, M) from the point of the generalized forms. Here we take a subspace X of the space Map(S,M) and we introduce the generalized differential forms on X, taking the dual to the chain space with the flat norm. This method of construction allows us to discuss a sufficient condition for a subspace Y of X to admit the generalized differential forms and the natural integration as the dual operation.

• 한국항공우주학회지
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• 제43권10호
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• pp.868-874
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• 2015

가변추력은 대기가 없는 행성에 착륙하거나, 우주공간에서의 도킹에 필수적인 것으로 알려져 있다. 추력을 조절하기 위해 질유량 조절이 가능한 분사기를 사용하는 방법이 대표적으로 알려져 있다. 이에 따라 본 연구에서는 추력조절을 위하여 이중매니폴드 분사기를 사용하여 질유량을 조절하였다. 이중매니폴드 분사기의 주요 변수 중 하나로 판단되는 접선방향 유입구의 개수의 변화에 따른 분사특성을 확인하기 위하여 분무각, 분무패턴을 포함하는 외부유동을 측정하였으며 내부유동 특성 파악을 위한 film thickness를 확인하였다.

• Korean Journal of Mathematics
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• 제31권2호
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• pp.133-137
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• 2023

Consider a Riemannian manifold M equipped with a metric g. In this article, we study a notion for statistical manifolds (M, g, ∇), which can have a nonzero torsion, abbreviated to SMT. Then it turns out that the tensor fields ∇g and ${\tilde{\nabla}}g$ obtained from two different SMT-connections are different.