کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
650746 1457310 2009 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Free surface deformation due to a source and a sink of equal strength in Stokes flow
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی جریان سیال و فرایندهای انتقال
پیش نمایش صفحه اول مقاله
Free surface deformation due to a source and a sink of equal strength in Stokes flow
چکیده انگلیسی
Two-dimensional Stokes flow due to a source and a sink of equal strength below the free surface is analyzed and free surface shape and cusp formation are discussed. The source-sink pair below the free surface are aligned vertical to the free surface. In the analysis, the Stokes' approximation is used and surface tension effects are included, but gravity is neglected. The solution is obtained by using conformal mapping and complex function theory. From the solution, typical free surface shapes are shown and formation of a cusp on the free surface is discussed. As the capillary number increases, the converging free surface shape becomes singular and tends to form a cusp for sufficiently large capillary number. Typically, streamline patterns for some capillary numbers are also shown. As the capillary number vanishes, the solution is reduced to the linearized potential flow solution.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - B/Fluids - Volume 28, Issue 4, July–August 2009, Pages 558-563
نویسندگان
,