Flow Past Periodic Arrays of Spheres at Low Reynolds
نویسندگان
چکیده
We calculate the force on a periodic array of spheres in a viscous ow at small Reynolds number and for small volume fraction. This generalizes the known results for the force on a periodic array due to Stokes ow (zero Reynolds number) and the Oseen correction to the Stokes formula for the force on a single sphere (zero volume fraction). We use a generalization of Hasimoto's approach that is based on an analysis of periodic Green's functions. We compare our results to the phenomenological ones of Kaneda for viscous ow past a random arrays of spheres.
منابع مشابه
Flow Past Periodic Arrays of Spheres
(Received ?? and in revised form ??) We calculate the force on a periodic array of spheres in a viscous ow at small Reynolds number and for small volume fraction. This generalizes the known results for the force on a periodic array due to Stokes ow (zero Reynolds number) and the Oseen correction to the Stokes formula for the force on a single sphere (zero volume fraction). We use a generalizati...
متن کاملThree Dimensional Analysis of Flow Past a Solid-Sphere at Low Reynolds Numbers with the Aid of Body Fitted Coordinates
In this paper, the flow-field of an incompressible viscous flow past a solid-sphere at low Reynolds numbers (up to 270) is investigated numerically. In order to extend the capabilities of the finite volume method, the boundary (body) fitted coordinates (BFC) method is used. Transformation of the partial differential equations to algebraic relations is based on the finite-volume method with coll...
متن کاملThree Dimensional Analysis of Flow Past a Solid-Sphere at Low Reynolds Numbers with the Aid of Body Fitted Coordinates
In this paper, the flow-field of an incompressible viscous flow past a solid-sphere at low Reynolds numbers (up to 270) is investigated numerically. In order to extend the capabilities of the finite volume method, the boundary (body) fitted coordinates (BFC) method is used. Transformation of the partial differential equations to algebraic relations is based on the finite-volume method with coll...
متن کاملAnalysis of Pseudo-Turbulence Flow Induced by Bubble Periodic Formation in Non-Newtonian Fluids
Laser Doppler Velocimetry (LDV) has been employed to determine pseudo-turbulence characteristics of the flow field around bubble train forming in non-Newtonian caboxymethylcellulose (CMC) aqueous solution at low gas flow rate condition. The Reynolds stress and turbulent intensity of the liquid were investigated by means of Reynolds time-averaged method. The experimental results show that ax...
متن کاملWAKE ARCHITECTURES IN TWO-DIMENSIONAL FLUIDIZATION OF SPHERES Experiments and phenomenogical description
The structure of a shear flow past freely suspended spheres at low Reynolds numbers is visualized employing sheets of hydrogen bubbles illuminated by laser light as well as tungsten halogen lamps. We describe the wake interactions of the spheres as the fundamental contributions to the observed stability of the arrangements. Stable planar clusters of two, three and four particles were obtained w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999