컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0541 |
|---|---|
| 분류(Section) | Poster Session |
| 분과(Session) | Numerical Analysis / Scientific Computations / Mathematics in Science and Technology (SS-14) |
| 영문제목 (Title(Eng.)) |
Unsteady similarity solution for thin film flow of Newtonian fluid around a slender dry patch |
| 저자(Author(s)) |
Siti Sabariah Abas1, Yazariah Mohd Yatim1 School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia1 |
| 초록본문(Abstract) | The flow of thin film is relevant in a number of different fields, such as in engineering (coating and lubrication processes), chemistry(flow of surface active materials) and geographical context (lava flows). These flows can be driven by various external forces including gravity and surface shear stress. The investigation of the properties of the flow has attract attention of many researchers, especially in technological applications in which it may lead to the formation of undesirable dry regions. In this work, we concentrate on the gravity-driven flow of a thin film of Newtonian fluid around dry patch falling down an inclined plane with inclusion of surface tension effect. In general, the introduction of surface tension leads to a fourth-order ordinary differential equation which we solved it numerically by using shooting method. The travelling-wave similarity solution describing an unsteady, slender and symmetric dry patch are obtained. Here, we also examined the effect and the shape of dry patch in this gravity-driven flow. The solution also captures and provides the initial insights of how to prevent the appearance of dry patch. |
| 분류기호 (MSC number(s)) |
76A20 |
| 키워드(Keyword(s)) | unsteady thin-film flow, similarity solution, dry patch, Newtonian fluid, travelling-wave, surface-tension effect |
| 강연 형태 (Language of Session (Talk)) |
English |