• Title/Summary/Keyword: Conformal

Search Result 770, Processing Time 0.021 seconds

Heat Transfer Analysis of the Radiation Shield in Cryogenic Systems (극저온 시스템의 복사쉴드의 열전달 해석)

  • 정은수;장호명;박희찬;양형석
    • Progress in Superconductivity and Cryogenics
    • /
    • v.4 no.1
    • /
    • pp.124-128
    • /
    • 2002
  • A numerical model to obtain the temperature distribution in a radiation shield of cryogenic systems was proposed. Conformal mapping was used to transform the eccentric physical region of the upper plate to the concentric numerical region. The effects of the thickness of the radiation shield, the emissivities of the vacuum chamber and the radiation shield, and the eccentricity between the centers of the upper plate and the contact area with a cryocooler on the maximum temperature difference in a radiation shield were shown.

A NOTE ON GEOMETRIC APPLICATIONS OF EXTREMAL LENGTH (I)

  • CHUNG BOHYUN
    • Journal of applied mathematics & informatics
    • /
    • v.18 no.1_2
    • /
    • pp.603-611
    • /
    • 2005
  • We present some geometric applications of extremal length. The method of extremal length leads a simple proofs of theorems. And we consider the applications of extremal length to the boundary behavior of analytic functions and derive theorems in connection with the conformal mappings. It shows us the usefulness of the method of extremal length.

REMARKS ON CONFORMAL TRANSFORMATION ON RIEMANNIAN MANIFOLDS

  • Kim, Byung-Hak;Choi, Jin-Hyuk;Lee, Young-Ok
    • Journal of applied mathematics & informatics
    • /
    • v.27 no.3_4
    • /
    • pp.857-864
    • /
    • 2009
  • The special conformally flatness is a generalization of a sub-projective space. B. Y. Chen and K. Yano ([4]) showed that every canal hypersurface of a Euclidean space is a special conformally flat space. In this paper, we study the conditions for the base space B is special conformally flat in the conharmonically flat warped product space $B^n{\times}f\;R^1$.

  • PDF

SOME GEOMETRIC APPLICATIONS OF RESISTANT LENGTH OF CURVE FAMILIES (I)

  • Chung, Bohyun;Jung, Wansoo
    • Korean Journal of Mathematics
    • /
    • v.14 no.2
    • /
    • pp.281-289
    • /
    • 2006
  • We introduce the resistant length and examine its properties. We also consider the geometric applications of resistant length to the boundary behavior of analytic functions, conformal mappings and derive the theorem in connection with the cluster sets, purely geometric problems. The method of resistant length leads a simple proofs of theorems. So it shows us the usefulness of the method of resistant length.

  • PDF

CONDUCTANCE AND CAPACITY INEQUALITIES FOR CONFORMAL MAPPINGS

  • Chung, Bo-Hyun
    • Korean Journal of Mathematics
    • /
    • v.12 no.1
    • /
    • pp.33-40
    • /
    • 2004
  • Let $E,F{\subset}(R^*)^n$ be non-empty sets and let ${\Gamma}$ be this family of all closed curves which join E to F in $(R^*)^n$. In this paper, we shall study the problems of finding properties for the conductance $C({\Gamma})$. And we obtain the inequalities in connection with capacity of condensers.

  • PDF

ON THE CONFORMAL DEFORMATION OVER WARPED PRODUCT MANIFOLDS

  • YOON-TAE JUNG;CHEOL GUEN SHIN
    • The Pure and Applied Mathematics
    • /
    • v.4 no.1
    • /
    • pp.27-33
    • /
    • 1997
  • Let (M = B$\times$f F, g) be an ($n \geq3$ )-dimensional differential manifold with Riemannian metric g. We solve the following elliptic nonlinear partial differential equation (equation omitted). where $\Delta_{g}$ is the Laplacian in the $\Delta$g-metric and ($h(\chi)$) is the scalar curvature of g and ($H(\chi)$) is a function on M.

  • PDF

A Novel Optimization Procedure Utilizing the Conformal Transformation Method (등각사상법과 유한요소법을 이용한 2단계 최적설계법)

  • Im, Jee-Won
    • Proceedings of the KIEE Conference
    • /
    • 2001.07e
    • /
    • pp.7-12
    • /
    • 2001
  • A large number of methods for the design optimization have been proposed in recent years. However, it is not easy to apply these methods to practical use because of many iterations. So, in the design optimization, physical and engineering investigation of the given model are very important, which results in an overall increase in the optimization speed. This paper describes a novel optimization procedure utilizing the conformal transformation method. This approach consists of two phases and has the advantage of grasping the physical phenomena of the model easily. Some numerical results that demonstrate the validity of the proposed method are also presented.

  • PDF

LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Jin, Dae-Ho
    • The Pure and Applied Mathematics
    • /
    • v.19 no.3
    • /
    • pp.211-228
    • /
    • 2012
  • We study lightlike submanifolds M of a semi-Riemannian manifold $\bar{M}$ with a semi-symmetric non-metric connection subject to the conditions; (a) the characteristic vector field of $\bar{M}$ is tangent to M, (b) the screen distribution on M is totally umbilical in M and (c) the co-screen distribution on M is conformal Killing.