1 AIT Asian Institute of Technology

The effect of concentration on the fall velocity of a sphere

AuthorWisist Hutachitta
Call NumberAIT Thesis no. 44
Subject(s)Fluid mechanics
NoteA thesis submitted in partial fulfillment if the requirements for the degree of Master of Engineering in the SEATO Graduate School of Engineering, Bangkok, Thailand.
PublisherAsian Institute of Technology
AbstractThe effect of concentration on the fall velocity of a sphere in a sand-water mixture was determined experimentally and compared to results predicted by a theoretically derived equation. The fall velocity was determined theoretically by assuming that the sandwater mixture produced a bouyant force on the sphere equivalent to that which would exist in a homogeneous fluid having the same specific weight as the sand-water mixture. The drag coefficient-Reynolds number relationship was then used to determine the fall veloctiy required to produce a drag force equal to the assumed bouyant weight. The diameter of each sphere used in the laboratory experiments was 0.281 inches, while their specific gravities varied, having values of 1.06, 1.10, 1.14 and 1.19. The tube containing the sand-water mixture was made of clear plastic having an inside diameter of 1.747 in. The sand used as the solid phase of the slurry was fed into the tube from a constant feed hopper. The specific gravity of the sand was 2.59 and varied in grain size between 0.147 mm to 0.208 mm. The concentration of solids in the sand-water mixture varied between 0.347 and 0.898 percent. The Reynolds number of the falling spheres varied between 935 and 1610. Experimentally determined values of the fall velocity of the sphere in the sand-water mixture agreed with the trend of the results predicted by the theoretically derived equation. Qualitative results were also obtained, confirming the fact that the fall velocity of a sphere decreases with increasing solid concentration, by experimentally showing that a sphere which would sink in a solution of glycerine and water would be bouyant if the solution contained a sufficient amount of suspended sand.
Year1963
TypeThesis
SchoolStudent Research Before 1979
DepartmentOther Field of Studies (No Department)
Academic Program/FoSThesis (Year <=1979)
DegreeThesis (M.Eng.) - SEATO Graduate School of Engineering


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