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MUHAMMAD ASHRAF,R. AVILA,S. S. RAZA 한국산업응용수학회 2009 Journal of the Korean Society for Industrial and A Vol.13 No.1
In the present work transformation of dimensionless heat diffusion equation for the solution of moving boundary problems have been formulated. The formulation is based on 1-D, 2-D and 3-D, unsteady heat diffusion equations. These equations are first turned into dimensionless form by using dimensionless quantities and their transformation was formulated in liquid and solid phases. The salient feature of this work is that during the transformation of dimensionless heat diffusion equation there arises a convective term v which is responsible for the motion of interface in liquid as well as solid phase. In the transformed heat equation, a correction factor β also arises naturally which gives the correct transformed flux at interface.
Muhammad Ashraf,R. Avila,S. S. Raza 한국산업응용수학회(구 한국산업정보응용수학회) 2009 한국산업정보응용수학회 Vol.13 No.1
In the present work transformation of dimensionless heat diffusion equation for the solution of moving boundary problems have been formulated. The formulation is based on 1-D, 2-D and 3-D, unsteady heat diffusion equations. These equations are first turned into dimensionless form by using dimensionless quantities and their transformation was formulated in liquid and solid phases. The salient feature of this work is that during the transformation of dimensionless heat diffusion equation there arises a convective term v which is responsible for the motion of interface in liquid as well as solid phase. In the transformed heat equation, a correction factor β also arises naturally which gives the correct transformed flux at interface.
Seo, Sat byul The Youngnam Mathematical Society 2019 East Asian mathematical journal Vol.35 No.1
In this paper, we introduce a numerical approach to solve heat-diffusion equation with discontinuous diffusion coefficients in the three dimensional rectangular domain. First, we study the support operator method and suggest a new method, the continuous velocity method. Further, we apply both methods to a diffusion process for neurotransmitter release in an individual synapse and compare their results.
서샛별 영남수학회 2019 East Asian mathematical journal Vol.35 No.1
In this paper, we introduce a numerical approach to solve heat-diffusion equation with discontinuous diffusion coefficients in the three dimensional rectangular domain. First, we study the support operator method and suggest a new method, the continuous velocity method. Fur- ther, we apply both methods to a diffusion process for neurotransmitter release in an individual synapse and compare their results.
Influence of thickness and crystalline structure on thermal and optical properties of ZnO thin films
K.I. Mohammed,F.M. Jasim,M.I. Azawe 한국물리학회 2014 Current Applied Physics Vol.14 No.9
Measurements of the temperature dependence of refractive index of ZnO thin films and thermal diffusivity using photothermal deflection technique are presented. Thin film thickness and surface homogeneity were found to be the effective parameters on optical and thermal properties of the thin films. High refractive index gradient with temperature was found for films of a nonuniform distribution and gathered in clusters, and a high predicted value for thermal diffusivity. Optical properties of the thin films revealed that films with disorder in the deposition and gathered clusters showed poor transmittance in visible region with a pronounced peak in the near IR, and also a reduction in the band gap. A detailed parametric analysis using analytical solution of one-dimensional heat equation had been performed. A discontinuity in the temperature elevation at the ZnO-glass interface was found.
Analysis of heat diffusion considering driving images on 6-inch flexible AMOLED display
Jeon Chang Hoon,Park Ji Woong,Kang Byung Wook,Jang Su Hyuk,Kwon Kyung Joon,Hong Soon Kwang,Ha Yong Min,Jang Jin 한국정보디스플레이학회 2023 Journal of information display Vol.24 No.3
We report the heat diffusion on flexible active-matrix organic light-emitting diode (AMOLED) displays. Two-dimensional heat diffusion is used for the heat conduction and convection analysis, generated on the surface of a flexible AMOLED display. The heat diffusion parameters and the time constant are studied in terms of the driving conditions of a 6-inch flexible AMOLED display. The temperature distribution on the screen is obtained by applying heat diffusion using the finite difference method (FDM) with an FPGA driving board. We can predict temperature more precisely by calculating temperature changes according to the images. The proposed method improves the accuracy of predicting the temperature. The average and standard deviation of the temperature error (TER) are ∼0.5°C and ∼0.5°C for the proposed method, respectively. For the conventional method, the values are ∼4.5°C and ∼0.7°C, respectively, neglecting the increase in temperature based on the images. This method can be used in compensation technology for OLEDs and thin film transistors (TFTs) that require accurate temperature distribution on the screen.
General method to solve the heat equation
Choi, B.,Jeong, D.,Choi, M.Y. North-Holland Pub. Co 2016 PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIO Vol.444 No.-
<P>General solutions of the heat equation are presented in terms of the Koopman-Darmois family of exponential functions, which include both the separable solution and the fundamental solution. In particular, we derive a new closed-form solution, which may not be obtained via the separation of variables or via an integral transform. It is demonstrated that the new solution describes the time evolution of the distribution of random walkers under an absorbing boundary. (C) 2015 Elsevier B.V. All rights reserved.</P>
음영효과를 고려한 2차원 밀폐공간 내 물체에서의 복사열전달 경계요소 해법
최창용 한국기계기술학회 2015 한국기계기술학회지 Vol.17 No.5
Nowadays, a hypertension becomes the common disease and accounts for larger percentage of interest in the medical academic field. One of the most common blood pressure measurement technique is the non-invasive method. When a larger cuff is used by comparing to the upper-arm circumference of the subject, the blood pressure is measured lower than expected. Conversely, the value obtained by it is higher than normal case if a smaller cuff size is used. In this experimental study, 400 pairs of simultaneous blood pressure measurements on 50 subjects were obtained by the auscultatory and the oscillometric methods respectively by using three kinds of cuff sizes(Small, Medium and Large). Experimental identification for blood pressure differences due to the cuff size was proceeded. Also, cuff size standard for Korean was presented to obtain more accurate blood pressure according to the arm circumferences. As the result of this study, the selection of the appropriate cuff size was found to be very important because the main factors influencing the accuracy of the oscillometric blood pressure measurement was the cuff size by depending on the arm circumference of the subject.