• Title/Summary/Keyword: variable mass diffusion

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THERMAL DIFFUSION AND RADIATION EFFECTS ON UNSTEADY MHD FREE CONVECTION HEAT AND MASS TRANSFER FLOW PAST A LINEARLY ACCELERATED VERTICAL POROUS PLATE WITH VARIABLE TEMPERATURE AND MASS DIFFUSION

  • Venkateswarlu, M.;Ramana Reddy, G.V.;Lakshmi, D.V.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.18 no.3
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    • pp.257-268
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    • 2014
  • The objective of the present study is to investigate thermal diffusion and radiation effects on unsteady MHD flow past a linearly accelerated vertical porous plate with variable temperature and also with variable mass diffusion in presence of heat source or sink under the influence of applied transverse magnetic field. The fluid considered here is a gray, absorbing/emitting radiation but a non-scattering medium. At time t > 0, the plate is linearly accelerated with a velocity $u=u_0t$ in its own plane. And at the same time, plate temperature and concentration levels near the plate raised linearly with time t. The dimensionless governing equations involved in the present analysis are solved using the closed analytical method. The velocity, temperature, concentration, skin-friction, the rate or heat transfer and the rate of mass transfer are studied through graphs in terms of different physical parameters like magnetic field parameter (M), radiation parameter (R), Schmidt parameter (Sc), Soret number (So), Heat source parameter (S), Prandtl number (Pr), thermal Grashof number (Gr), mass Grashof number (Gm) and time (t).

EFFECT OF HEAT ABSORPTION ON UNSTEADY MHD FLOW PAST AN OSCILLATING VERTICAL PLATE WITH VARIABLE WALL TEMPERATURE AND MASS DIFFUSION IN THE PRESENCE OF HALL CURRENT

  • RAJPUT, US;KANAUJIA, NEETU
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.22 no.4
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    • pp.241-251
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    • 2018
  • The present study is carried out to examine the combined effect of heat absorption on flow model. The model consists of unsteady flow of a viscous, incompressible and electrically conducting fluid. The flow is along an impulsively started oscillating vertical plate with variable mass diffusion. The magnetic field is applied perpendicular to the plate. The fluid model under consideration has been solved by Laplace transform technique. The numerical data obtained is discussed with the help of graphs and table. The numerical values obtained for skin-friction have been tabulated. To shorten the lengthy equations in the solution some symbols have been assumed, which are mentioned in appendix. The appendix is included in the article as the last section of the manuscript.

Effects of Lewis number on hydrogen diffusion flame structure (수소 확산화염의 구조에 미치는 Lewis 수의 영향)

  • Kim, Hu-Jung;Kim,Yong-Mo;An, Guk-Yeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.9
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    • pp.1126-1138
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    • 1997
  • An axisymmetric laminar jet diffusion flame has been numerically modelled. The present study employs the refined physical submodels to account for the detailed chemical kinetics and the variable transport properties. It is found that preferential diffusion resulting from variable transport properties significantly influences the hydrogen diffusion flame structure in terms of the spatial distribution for temperature, species concentration, thermal and mass diffusivity, Lewis number, and NO concentration. The preferential diffusion effects on the diffusion flame in the high-pressure environment are also discussed in detail.

MRI-Based Stepwise Approach to Anterior Mediastinal Cystic Lesions for Diagnosis and Further Management

  • Jong Hee Kim;Jooae Choe;Hong Kwan Kim;Ho Yun Lee
    • Korean Journal of Radiology
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    • v.24 no.1
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    • pp.62-78
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    • 2023
  • As the majority of incidentally detected lesions in the anterior mediastinum is small nodules with soft tissue appearance, the differential diagnosis has typically included thymic neoplasm and prevascular lymph node, with benign cyst. Overestimation or misinterpretation of these lesions can lead to unnecessary surgery for ultimately benign conditions. Diagnosing mediastinal cysts using MRI serves as a problem-solving modality in distinguishing between surgical and nonsurgical anterior mediastinal lesions. The pitfalls of MRI evaluation for anterior mediastinal cystic lesions are as follows: first, we acknowledge the limitation of T2-weighted images for evaluating benign cystic lesions. Due to variable contents within benign cystic lesions, such as hemorrhage, T2 signal intensity may be variable. Second, owing to extensive necrosis and cystic changes, the T2 shine-through effect may be seen on diffusion-weighted images (DWI), and small solid portions might be missed on enhanced images. Therefore, both enhancement and DWI with apparent diffusion coefficient values should be considered. An algorithm will be suggested for the diagnostic evaluation of anterior mediastinal cystic lesions, and finally, a management strategy based on MRI features will be suggested.

Analysis of Thermal Control Characteristics of VCHP by the Charging Mass of Non-Condensible Gas

  • Suh, Jeong-Se;Park, Young-Sik;Chung, Kyung-Taek;Kim, Byoung-Gi
    • International Journal of Air-Conditioning and Refrigeration
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    • v.14 no.4
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    • pp.125-130
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    • 2006
  • This study has been performed to investigate the thermal performance of variable conductance heat pipe (VCHP) with screen meshed wick. The active length of condenser section in a VCHP is varied by non-condensible gas, which controls the operating temperature, and the heat capacity of VCHP is controlled by the operating temperature. In this study, numerical analysis of the VCHP based on the diffusion model of non-condensible gas is done for the thermal control performance of VCHP. Water is used as a working fluid and nitrogen as a control non-condensible gas in the copper tube. As a result, the thermal conductance of VCHP has been compared with that of constant conductance heat pipe (CCHP) corresponding to the variation of operating temperature.

Treatment of Melamine by GAC Adsorption According to Adsorbent Size: Kinetics and Dispersion-Diffusion (흡착제 크기에 따른 GAC의 멜라민 흡착 처리 : 반응속도와 분산-확산)

  • Lee, Jai-Yeop;Lee, Sangjung;Han, Ihnsup
    • Journal of Soil and Groundwater Environment
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    • v.18 no.3
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    • pp.65-72
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    • 2013
  • Adsorption of melamine was examined using columns packed with granular activated carbon (GAC). Raw GAC was sieved with 20, 40, 60 and 80 mesh to determine the influence of adsorbent particle size on reaction and diffusion. The mass ratio of the adsorption capacity of GAC for melamine ranged from 9.19 to 11.06%, and adsorption rates increased with decreasing particle size within this range. Rate constants between 3.295 ~ 4.799 $min^{-1}$ were obtained using a pseudofirst-order equation that was used to determine adsorption kinetics. A surface diffusion model was adapted to take into account the unsteady-state equation of a spherical adsorbent by converting the surface concentration from a constant to a variable governed by a dispersion equation. The calculated values were fit with the experimental results by using the diffusion coefficients as regression parameters. The modified equation exhibited a more precise agreement with respect to the sum of the absolute error (SAE).

Study of Boron Doping Feasibility with Atmospheric Pressure Plasma for p-n Junction Formation on Silicon Wafer for Semiconductor (p-n 접합 형성을 위한 반도체 실리콘 웨이퍼 대기압 플라즈마 붕소 확산 가능성 연구)

  • Kim, Woo Jae;Lee, Hwan Hee;Kwon, Hee Tae;Shin, Gi Won;Yang, Chang Sil;Kwon, Gi-Chung
    • Journal of the Semiconductor & Display Technology
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    • v.16 no.4
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    • pp.20-24
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    • 2017
  • Currently, techniques mainly used in semiconductor impurity diffusion processes include furnace thermal diffusion, ion implantation, and vacuum plasma doping. However, there is a disadvantage that the process equipment and the unit cost are expensive. In this study, boron diffusion process using relatively inexpensive atmospheric plasma was conducted to solve this problem. With controlling parameters of Boron diffusion process, the doping characteristics were analyzed by using secondary ion mass spectrometry. As a result, the influence of each variable in the doping process was analyzed and the feasibility of atmospheric plasma doping was confirmed.

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MR Spectroscopy and Diffusion Weighted Imaging Findings of Primary Non-Hodgkin Lymphoma of the Breast: Two Case Reports (유방에 발생한 일차성 비호지킨림프종의 자기공명 분광법 및 확산강조 영상: 2예)

  • Nam, Sang Yu;Yoo, Eun Young;Choi, Hye-Young
    • Investigative Magnetic Resonance Imaging
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    • v.18 no.2
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    • pp.176-181
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    • 2014
  • Primary non-Hodgkin lymphoma (NHL) of the breast is a very rare disease, and the mammographic and ultrasonographic findings of breast lymphoma are variable. There are several reports of magnetic resonance (MR) imaging findings in patients with breast lymphomas; however, few reports have described the findings observed on MR spectroscopy or the features of diffusion weighted (DW) imaging. The authors report the findings of classical MR imaging, MR spectroscopy and DW imaging of a 48-year-old woman and a 40-year-old woman with primary non-Hodgkin's lymphoma of breasts. Mammography and breast ultrasonography revealed a mass with circumscribed margin. The mass showed strong enhancement after contrast injection on MR imaging. DW imaging showed reduced diffusion and high-amplitude choline (Cho) peak at 3.22 ppm was detected by single voxel MR spectroscopy which was consistent with malignancy.

Analysis of Thermal Control Characteristics of VCHP by the Charging Mass of Non-Condensible Gas (불응축가스 주입량에 따른 VCHP의 열제어 특성)

  • Suh Jeong-Se;Park Young-Sik;Chung Kyung-Taek
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.17 no.12
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    • pp.1139-1144
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    • 2005
  • This study has been performed to investigate the thermal performance of variable conductance heat pipe (VCHP) with meshed wick. The length of condenser portion in a VCHP is varied by the expansion of inert gas with the operation temperature, and the heat transport capacity is thus varied with the operating temperature. In this study, numerical evaluation of the VCHP is made for the thermal performance of VCHP, based on the diffusion model of inert gas. Water is used as a working fluid and nitrogen as a control inert gas in the copper tube. As a result, the thermal performance of VCHP has been compared with that of constant conductance heat pipe (CCHP) according to the variation of operation temperature. Maximum heat transport capacity of VCHP is mainly presented for operation temperature and the variation of operation temperature is also presented for heat transfer rate of VCHP.

The application of model equations to Non-Fickian diffusion observed in Fluoropolymers

  • Lee, Sangwha
    • Proceedings of the Membrane Society of Korea Conference
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    • 1996.04a
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    • pp.34-35
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    • 1996
  • The diffusional behavior of many non-solvents in glassy or semicrystalline polymers cannot be adequately described by a concentration-dependent form of Fick's law, especially when mass transfer is coupled with structural changes. Many mathematical models have been devised to interprete non-Fickian diffusion dominated by relaxation kinetics. In formulation of non-Fickian diffusion mathematics, therefore, the most important factor to consider is how relaxation effects can influence the governing constitutive equation and boundary conditions. That is, relaxation parameters can be accommodated by variable boundary conditions or a modified continuity equation, or both, depending on specific systems and conditions (Frish, 1980). Accoring to Astarita and Nicolais (1983), the model equations can be broadly categorized as continuous or discontinuous. Continuous model equations encompass phenomena where the structural change takes place gradually over the whole volume of the polymer sample (Crank, 1953; Long and Richman, 1961; Berens and Hopfenberg, 1978). On the other hand, discontinuous model equations deal with the phenomena where the morphological change appears to be abrupt (Li, 1984). Four mathematical models with different relaxation parameters were applied to fit the anomalous sorption data observed in fluoropolymers (PVDF, ECTFE). The fitted result for PVDF-benzene sorption data is shown in Fig. 1.

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