Swami Villela - Academia.edu (original) (raw)

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Papers by Swami Villela

Research paper thumbnail of Fundamentals on Equilibrium Concentration Curves... 37 Fundamentals on Equilibrium Concentration Curves for Sedimentation and Diffusion of Particles in Fluids

Solutions for the equilibrium sediment concentration profiles, defined as the situation in which ... more Solutions for the equilibrium sediment concentration profiles, defined as the situation in which the settling movement of sediment particles is compensated by turbulent diffusion in channel flows, are presented and compared with the classical Rouse profile. In the Rouse solution, the settling velocity is considered independent of the sediment concentration, a very restrictive situation which leads to unrealistic results for the sediment concentration near the bottom of the flow. In this paper, the use of the mass conservation principle permits to obtain a more realistic solution for the equilibrium profiles. It is shown that it is possible to extend the obtained profiles until the bottom of the flow (which simplifies further calculations). Further, considering the result of the momentum equation (potential flow) around a sphere, a nonlinear approximation between the settling velocity and the volumetric concentration of sediment is obtained. It is discussed that nonlinear effects mus...

Research paper thumbnail of Fundamentals on Equilibrium Concentration Curves... 37 Fundamentals on Equilibrium Concentration Curves for Sedimentation and Diffusion of Particles in Fluids

Solutions for the equilibrium sediment concentration profiles, defined as the situation in which ... more Solutions for the equilibrium sediment concentration profiles, defined as the situation in which the settling movement of sediment particles is compensated by turbulent diffusion in channel flows, are presented and compared with the classical Rouse profile. In the Rouse solution, the settling velocity is considered independent of the sediment concentration, a very restrictive situation which leads to unrealistic results for the sediment concentration near the bottom of the flow. In this paper, the use of the mass conservation principle permits to obtain a more realistic solution for the equilibrium profiles. It is shown that it is possible to extend the obtained profiles until the bottom of the flow (which simplifies further calculations). Further, considering the result of the momentum equation (potential flow) around a sphere, a nonlinear approximation between the settling velocity and the volumetric concentration of sediment is obtained. It is discussed that nonlinear effects mus...

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