The Moving Particle Semi-implicit (MPS) method is one of most famous method in the particle-based computational fluid dynamics field. The MPS, the state-of-art method, is simple but intuitive methodology including multi-phase and complex structure interactions problems. However, the concept of particle method may contain the physical weakness. In order to avoid physical violence, the particle number density and kernel function were employed. Despite all the efforts, the microscopic problems were not easily resolved yet. In this study, the surface tension model was developed and added into the MPS method to strengthen physical phenomena and physics laws. The simulation result with new MPS method including surface tension model was compared with corresponding theoretical results and they show good-agreement.
This paper presents the theoretical analysis for the flow driven by surface tension and gravity force in an inclined circular tube. The previously developing equation for Power-Law model is a simple ordinary differential type. A governing equation is developed for describing the displacement of a non-Newtonian fluid(Casson model) that continuously flows into a circular tube by surface tension, which represents a second-order, nonlinear, non-homogeneous, and ordinary differential form. It was found that the theoretical predictions of the governing equation were in good agreement with the results for considering the Newtonian model.
This paper presents the theoretical analysis for the flow driven by surface tension and gravity force in an inclined circular tube. The present study introduces detailed mathematical procedures for Casson viscosity model. The equations of velocity distribution and flow rate are developed to describe the displacement of a non-Newtonian fluid that continuously flew into a circular tube by surface tension. The equation of modified volumetric flow shows the complicated form of (10) due to yield stress term, and the equation of velocity distribution which includes the yield stress and inclination angle of circular tube is composed of terms of r and rc as form of (14).
This paper presents the theoretical analysis for the flow driven by surface tension and gravity force in an inclined circular tube. The governing equation is developed to describe the displacement of a Newtonian fluid that continuously flew into a circular tube by surface tension, which represents a second-order, nonlinear, nonhomogeneous and ordinary differencial form. It was found that the theoretical predictions of the governing equation were excellent agreement with the unsteady state solutions for horizontal tube and the results of force balance equation for steady state.
A semi-empirical method to estimate the surface tension of molten alloys at different oxygen partialpressures is suggested in this study. The surface tension of molten Ag-Sn and Ag-Cu alloys were calculatedusing the Butler equation with the surface tension value of pure substance at a given oxygen partialpressure. The oxygen partial pressure ranges were 2.86×10-12-1.24×10-9Pa for the Ag-Sn system and2.27×10-11-5.68×10-4 Pa for the Ag-Cu system. In this calculation, the interactions of the adsorbed oxygenwith other metallic constituents were ignored. The calculated results of the Ag-Sn alloys were in reasonableaccordance with the experimental data within a difference of 8%. For the Ag-Cu alloy system at a higheroxygen partial pressure, the surface tension initially decreased but showed a minimum at XAg = 0.05 to increaseas the silver content increased. This behavior appears to be related to the oxygen adsorption and thecorresponding surface segregation of the constituent with a lower surface tension. Nevertheless, the calculatedresults of the Ag-Cu alloys with the present model were in good agreement with the experimental data withina difference of 10%.
The rheological properties and surface tensions of polymer solutions and polymer-surfactant mixed solutions were investigated. The polymers used in this study were a homopolymer of acrylic acid crosslinked with an allyl ether of pentaerythritol, an allyl ether of sucrose, or an allyl ether of propylene (CARBOMER), acylate/C10-30 alkyl acylate crosspolymer (AAAC), and ammonium acryloydimethyltaurate/VP copolymer (ADTV). A solubilizing agent PEG-40 hydrogenated castor oil (HCO-40) and an emulsifying agent polyoxyethylene (20) sorbitan monostearate (POLYSORBATE 60) made the micelles intervening between AAAC polymers, resulting in the increase of viscosity. However, HCO-40 made this behavior over the wider range of surfactant concentration than POLYSORBATE 60. From the view point of surface tensions in the same range of surfactant concentration, AAAC/HCO-40 solution showed the area of increasing surface tension with surfactant concentration in contrast to the AAAC/POLYSORBATE 60 solution showing no increasing area.
본 연구에서는 경사와 위사의 장력에 기인되는 감성 봉제용 직물의 마찰특성을 KES-FB 계측기를 이용하여 분석하였다. 직물의 마찰특성은 직물표면의 마찰계수, 마찰계수의 평균편차, 그리고 표면요철도를 측정하였다. 이들 표면특성치를 분석하기 위해서 75d/36f PET 필라멘트를 경사로 사용하고 100d/192f PET 필라멘트를 위사로 사용하여 5매 주자직 직물을 Omega와 Picanol 직기에서 각각 제직하고 이들을 같이 연결하여 염색가공 공정을 진행시켰다. 이들 가공된 직물의 직물표면특성은 제직시 측정된 경사와 위사의 장력특성과 함께 분석되어 졌으며 직물의 중앙부위와 양 셀베지 부분의 직물 위치에 따른 표면특성의 차이가 분석되어졌다.
테오스(TEOS)를 출발물질로 사용하여 건조조절제(DCCA;Dying Control Chemical Additives)를 첨가하지 않고, 솔-젤 법을 이용하여 Si(001) 단결정 기판 위에 실리카 박막을 제조하였다. 박막은 스핀 코팅 방법으로 테오스 =1 몰, 염산=0.05몰의 조건하에 메탄올, 증류수의 첨가량을 변화시키면서 젤화 완료시간, 박막의 두께, 균열 발생 여부, 박막의 결정성 등을 조사하였다. 그 결과 솔의 제화 완료시간은 메탄올 첨가량이 8몰일 때 가장 긴 640시간이었다. 코팅된 박막의 두께는 메탄올 첨가량이 많아질수록 감소하였다. 소결은 승온 속도0.6˚C/min으로 500˚C에서 1시간 행하였으며, 메탄올 첨가량이 0.8몰, 2몰일 때는 표면에서 균열이 발생하여 worm-like grain 구조를 가졌고, 메탄올 4몰인 경우에는 국부적으로 균열이 발생하였으나, 메탄올 양이 8몰 이상에서는 균열이 발생하지 않았다. 즉, 솔-젤 공정에서 균열 방지를 위해 첨가되는 건조조절제(DMF)를 첨가하지 않고도 용매인 메탄올과 증류수 혼합비를 조절, 표면장력을 제어함으로써 균열없는 박막을 제조하였다.
이 연구에서는 극성 액체인 물, 에탄올 및 비극성 액체인 사염화탄소를 극성 표면인 유리와 비극성고체인 PVC와 테플론판 위에 떨어뜨린 후 접촉각을 측정하고, 액체-증기, 고체-증기, 및 고체-액체의 경계간의 자유에너지와 표면장력을 계산하였다. 접촉각의 크기는 액체의 종류 또는 표면장력 뿐 아니라, 고체 판의 특성에 따라서도 달라진다는 것을 확인하였다. 또한, 접촉각의 크기는 액체의 표면 장력의 크기와 반드시 일치하지는 않았다. 7차 교육과정의 ‘화학Ⅰ’ 교과서 8종과 여러 평가 문항들을 분석한 결과, 접촉각과 표면 장력의 크기를 단순히 분자 간 인력에 따라 비례하는 것으로 표현하는 경우가 있었고, 교육과정에서 요구하는 수준을 넘거나 현실적으로 관찰되지 않는 상황을 제시하는 경우도 있었다. 고등학교 학생들은 접촉각, 표면장력 그리고 분자간 인력에 관련된 이해가 부족한 것으로 나타났다.