Which factors significantly influence the gravitational settling (sedimentation) of a particle in a sedimentation tank handling sewage or water?
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AVelocity distribution through the tank only
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BViscosity of water only
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CSize and shape of the solid particle only
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DSpecific gravity of the particle only
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EAll of the above (velocity field, viscosity, size/shape, and specific gravity)
Answer
Correct Answer: All of the above (velocity field, viscosity, size/shape, and specific gravity)
Explanation
Introduction / Context:Settling behavior in sedimentation tanks depends on properties of both the fluid and the particles. Designers must account for hydrodynamics and particle characteristics to predict removal efficiency.
Given Data / Assumptions:
- Parameters considered: tank velocity field, water viscosity, particle size/shape, particle specific gravity.
Concept / Approach:Settling velocity depends on the net gravitational force minus buoyancy and drag. Drag depends on fluid viscosity and particle size/shape (which determines drag coefficient). The velocity field affects residence time and potential resuspension, thereby affecting overall removal.
Step-by-Step Solution:Fluid property: viscosity influences drag and Reynolds number.Particle properties: size and shape affect projected area and drag coefficient; specific gravity affects net driving force.Hydraulics: velocity distribution controls detention time and short-circuiting.Therefore, all listed factors matter.
Verification / Alternative check:Compare Stokes’ regime vs. transitional/newtonian regimes: each still depends on viscosity, size, and density contrast; tank hydraulics governs whether a particle can traverse the basin depth in the available time.
Why Other Options Are Wrong:
- Single-factor answers ignore the coupled nature of settling physics.
Common Pitfalls:Assuming particle size alone dictates removal. In cold weather, higher viscosity can reduce settling velocity noticeably; poor hydraulics can also limit removal even for relatively heavy particles.
Final Answer:All of the above (velocity field, viscosity, size/shape, and specific gravity).