• Journal of Mechanical Science and Technology
• /
• 제16권6호
• /
• pp.861-869
• /
• 2002

Radiative transfer by nongray gas mixtures with nonuniform concentration and temperature profiles is studied by using the statistical narrow-band model and the ray-tracing method with the sufficiently accurate T$\_$60/ quadrature set. Transmittances through the nonhomogeneous gas mixtures are calculated by using the Curtis-Godson approximation. Three different cases with different temperature and concentration profiles are considered profiles are considered to obtain benchmark solutions for the radiative transfer by nongray gas mixtures. The solutions obtained from this study are verified and found to be very well matched with the previous solutions for uniform gas mixtures. The results presented in this paper can be used as benchmark solutions in developing various solution methods for radiative transfer by nongray gas mixtures.

• International Journal of Aeronautical and Space Sciences
• /
• 제3권1호
• /
• pp.30-38
• /
• 2002

In multi-dimensional systems, various solution schemes for radiative transfer are suggested but the applicabilities and accuracies of these schemes have not yet fully tested due to the lack of reference solutions especially for nongray gases. In this paper we present some precise radiative transfer solutions for a black walled 3-dimensional cylindrical system filled with nongray gases having uniform temperature and concentration. The ray-tracing method with the $T_N$ quadrature set and the SNB model are used to obtain the radiative transfer solutions by the nongray gases. The solutions presented in this paper are proved to be quite accurate and can be regarded as the reference solutions for the radiative transfer by nongray gases.

• Journal of Mechanical Science and Technology
• /
• 제15권6호
• /
• pp.752-763
• /
• 2001

Although there are many different solution schemes proposed for multidimensional radiative transfer, reference solutions to benchmark these methods are very rare in the literature. In this paper we produced some accurate solutions for purely absorbing gray and nongray gases including H$_2$O and CO$_2$by using the discrete transfer method with sufficiently accurate T(sub)95 quadrature set. The spectral transmittances of the mixtures of H$_2$O and CO$_2$are estimated by using the narrow band model. The gray gas solutions are obtained for different absorption coefficients, and the nongray real gas solutions are obtained for different mixture fractions of H$_2$O and CO$_2$. The numerical solutions presented in this paper are proved to be sufficiently accurate as compared to the available exact solutions and they may be used as reference solutions in evaluating various solution schemes.

• 한국통신학회논문지
• /
• 제41권4호
• /
• pp.404-414
• /
• 2016

So called quaternary quasi-orthogonal sequence spatial modulation (Q-QOS-SM) has been presented with an advantage of improved throughputs compared to the conventional SM and generalized spatial modulation (GSM) by virtue of a larger set size of QOSs and its minimized correlation value between these QOSs. However the Q-QOS-SM has been originally invented for limited transmit antennas of only powers of two. In this paper, by extending the Q-QOS-SM to any number of transmit antennas, we propose a generalized Q-QOS-SM, referred as G-QO-SM. Unlike the conventional Q-QOS-SM using the Q-QOSs of length of any power of two, the proposed G-QO-SM is constructed based on the Q-QOSs of only the lengths of 2 and 4. The proposed scheme guarantees the transmission of the total $N_t$ spatial bits with $N_t$ transmit antennas, and thus achieves greatly higher throughputs than the other existing schemes including the SM, GSM, Q-QOS-SM, Quadrature-SM, and Enhanced-SM. The performance improvements of the proposed G-QO-SM is justified by comparing the analytically derived BER upper bounds and also the exact Monte Carlo simulation results.

• Kyungpook Mathematical Journal
• /
• 제28권2호
• /
• pp.185-196
• /
• 1988

We study existence of polynomial integrating factors and solutions F(x, y)=c of first order nonlinear differential equations. We characterize the homogeneous case, and give algorithms for finding existence of and a basis for polynomial solutions of linear difference and differential equations and rational solutions or linear differential equations with polynomial coefficients. We relate singularities to nature of the solution. Solution of differential equations in closed form to some degree might be called more an art than a science: The investigator can try a number of methods and for a number of classes of equations these methods always work. In particular integrating factors are tricky to find. An analogous but simpler situation exists for integrating inclosed form, where for instance there exists a criterion for when an exponential integral can be found in closed form. In this paper we make a beginning in several directions on these problems, for 2 variable ordinary differential equations. The case of exact differentials reduces immediately to quadrature. The next step is perhaps that of a polynomial integrating factor, our main study. Here we are able to provide necessary conditions based on related homogeneous equations which probably suffice to decide existence in most cases. As part of our investigations we provide complete algorithms for existence of and finding a basis for polynomial solutions of linear differential and difference equations with polynomial coefficients, also rational solutions for such differential equations. Our goal would be a method for decidability of whether any differential equation Mdx+Mdy=0 with polynomial M, N has algebraic solutions(or an undecidability proof). We reduce the question of all solutions algebraic to singularities but have not yet found a definite procedure to find their type. We begin with general results on the set of all polynomial solutions and integrating factors. Consider a differential equation Mdx+Ndy where M, N are nonreal polynomials in x, y with no common factor. When does there exist an integrating factor u which is (i) polynomial (ii) rational? In case (i) the solution F(x, y)=c will be a polynomial. We assume all functions here are complex analytic polynomial in some open set.

• 대한기계학회논문집B
• /
• 제26권6호
• /
• pp.859-867
• /
• 2002

Radiative transfer in energy systems such as furnaces, combustors, boilers and high temperature machineries is a significant mode of heat transfer. Although there are many solution schemes suggested for analysis of radiative transfer in multi-dimensional systems, the applicabilities and accuracies of these schemes have not fully tested for nongray gases. Especially reference data for enclosures of non-orthogonal shapes are not yet enough. In this paper we present some precise radiative transfer solutions for a black walled 3-dimensional cylindrical system filled with nongray gases. The SNB(statistical narrow band) model and the ray-tracing method with the T$_{N}$ quadrature set are used for finding nongray solutions. Although the solution method used in this study is not suitable for engineering purposes, the resulting solutions are proved to be quite accurate and can be regarded as the exact solutions and the results presented in this paper can be used in developing various solution schemes fur radiative transfer by real gas mixtures.s.

• Investigative Magnetic Resonance Imaging
• /
• 제6권1호
• /
• pp.64-72
• /
• 2002

목적 : 소아 뇌 질환에서의 자기공명분광법의 임상적 적용에 있어서 단일화적소 양성자 자기공명분광법과 고식적 이차원 양성자 자기공명분광법에 비해 혼성 이차원 양성자 자기공명분광법이 가지는 장점에 대하여 알아보고자 하였다. 대상 및 방법 : 생후 3일에서 15세까지의 79명의 소아 (정상소아 36명, 저산소성-허혈성 뇌 손상 10명, 대사성 질환 20명, 뇌막염-뇌염 3명, 뇌종양 7명, 신경섬유종증 1명, Sturge-Weber 증후군 1명, lissencephaly 1명)를 대상으로 81회의 혼성 이차원 양성자 자기공명분광검사를 시행하였다. 성인자원자(n=5)에서 단일화적소 양성자 자기공명분광법, 고식적 이차원 양성자 자기공명분광법, 그리고 혼성 이차원 양성자 자기공명분광법 모두를 실시하였고, 환아군 중 일부(n=12)에서 PRESS기법을 이용한 단일화적소 분광법과 혼성 이차원 양성자 자기공명 분광법을 함께 시행하였다. 1.5-T 초전도영상장치 하에서 standard head quatrature coil을 이용하여 양성자 자기공명분광을 얻었다. Phase encoding step은 16$\times$16으로 하였고, FOV는 환자 뇌의 크기에 따라 다양하게 하였으며, FOV내의 혼성 관심 체적 (hybrid VOI)은 $75{\times}75{\times}15{\;}\textrm{mm}^3$ 또는 그 이하로 함으로써 원하지 않는 지방에 의한 신호를 없애도록 하였다. PRESS기법 (TR/TE= 1,500 msec/135 또는 270 msec)을 적용하였고, 물에 의한 신호를 억제하기 위하여 chemical shift selective saturation pulse를 사용하였다. 혼성 이차원 양성자 자기공명분광검사의 획득시간(data acquistion time)과 분광의 질(spectral quality)을 단일화적소 양성자 자기공명분광법과 고식적이차원양성자 자기공명분광법의 그것과 비교하였다. 결과: 혼성 이차원 양성자 자기공명분광법은 79명의 소아 전 예에서 성공적으로 시행되었다. 단일화적소 양성자 자기공명분광법의 획득시간은 4.3분인 반면에, 혼성 이차원 양성자 자기공명분광법의 획득시간(data acquition time)은 6분 미만으로, 이는 소아의 뇌영상용으로 쓰기에 충분히 짧은 소요시간이었다. 혼성 이차원 양성자 자기공명분광법에 의한 분광은 단일화적소 자기공명분광법에 의한 분광과 거의 비슷한 민감도와 분광분해 능을 나타내었으며, 반면에 고식적인 이차원 양성자 자기공명분광법에 의한 분광보다는 훨씬 우수하였다.