Basic Separation Techniques and Sedimentation

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Questions and Answers

What occurs after the brief acceleration period in Type 1 settling?

  • The sedimentation rate remains constant immediately.
  • The sediment begins to rise to the surface.
  • The rate of sedimentation increases indefinitely.
  • The interface moves downwards at a constant rate. (correct)

What happens when the interface approaches the layer of sediment in Type 1 settling?

  • The rate of fall decreases until the critical settling point is reached. (correct)
  • The sediment continues to separate from the liquid.
  • The suspension becomes fully homogenized.
  • The liquid begins to separate from the solid particles.

Which factor does NOT affect the rate of sedimentation?

  • Temperature of the liquid. (correct)
  • Shape of the vessel.
  • Diameter of the containing vessel.
  • Height of the suspension.

In Type 2 settling, what characterizes the sedimentation process?

<p>There is a gradual decrease in the sedimentation rate. (C)</p> Signup and view all the answers

What is formed at the critical settling point in Type 1 settling?

<p>A direct interface between sediment and clear liquid. (C)</p> Signup and view all the answers

What is the primary characteristic of the separation process of a chemical mixture into pure components?

<p>It requires energy input. (C)</p> Signup and view all the answers

Which separation technique involves the transfer of species between vapor and liquid phases?

<p>Distillation (C)</p> Signup and view all the answers

What type of separation technique adds another fluid phase to selectively absorb certain species from the feed?

<p>Absorption (C)</p> Signup and view all the answers

Which method uses a polymer membrane to exploit differences in species permeabilities?

<p>Gas permeation (D)</p> Signup and view all the answers

What is the common characteristic of the separation technique depicted as using a solid agent?

<p>It exploits species adsorbability. (B)</p> Signup and view all the answers

Which of the following is considered less common but of growing importance in separation techniques?

<p>Barrier techniques (A)</p> Signup and view all the answers

What does crystallization primarily exploit for the separation of species?

<p>Differences in melting points (C)</p> Signup and view all the answers

In liquid-liquid extraction, what characteristic must the added phase possess?

<p>It must be immiscible with the feed phase. (C)</p> Signup and view all the answers

What is the primary purpose of thickening in the sedimentation process?

<p>To increase the concentration of suspended solids (B)</p> Signup and view all the answers

Which process involves the partial separation of suspended solid particles from a liquid by gravity?

<p>Sedimentation (B)</p> Signup and view all the answers

During sedimentation, what happens to the sedimentation rate once the critical settling point is reached?

<p>It falls (C)</p> Signup and view all the answers

What characterizes the sedimentation process in a scenario with a wide range of particle sizes?

<p>Progressively decreasing sedimentation rate (D)</p> Signup and view all the answers

In the sedimentation process, what is typically seen at zone D?

<p>Layer of sediment (C)</p> Signup and view all the answers

Which of the following external fields is particularly noted for its use in separating proteins?

<p>Electrical field (D)</p> Signup and view all the answers

What is the end product of the clarification phase in sedimentation?

<p>Clear effluent (D)</p> Signup and view all the answers

How is the sedimentation rate described before reaching the critical settling point?

<p>It remains constant (C)</p> Signup and view all the answers

What is the terminal velocity of a particle in a fluid defined as?

<p>The velocity that balances all forces acting on the particle (A)</p> Signup and view all the answers

How does the presence of large particles affect a concentrated suspension?

<p>They increase the viscosity of the fluid. (B)</p> Signup and view all the answers

What happens to the apparent settling velocity in a concentrated suspension?

<p>It is less than the actual velocity. (B)</p> Signup and view all the answers

Which factor does NOT influence the calculation of the drag coefficient?

<p>Temperature of the fluid (A)</p> Signup and view all the answers

What is the form of the equation relating the drag force and the drag coefficient?

<p>$F_d = C_d \times A_p \times \rho$ (D)</p> Signup and view all the answers

What physical principle primarily affects the behavior of particles in a fluid suspension?

<p>Buoyant force (C)</p> Signup and view all the answers

When does hindered settling occur?

<p>When particles collide with each other or walls (B)</p> Signup and view all the answers

What aspect of fluid motion influences the velocity gradients near particles?

<p>Flow spaces around the particles (B)</p> Signup and view all the answers

At which Reynolds number does Stokes' law apply?

<p>Re &lt; 2 (D)</p> Signup and view all the answers

What is the drag coefficient for Reynolds numbers between 500 and 200,000?

<p>0.44 (D)</p> Signup and view all the answers

In which region is the settling velocity given by $u_s = \frac{0.153g d^3 (\rho_s - \rho_f)}{\rho_f \mu}$?

<p>Transitional region (B)</p> Signup and view all the answers

What is the empirical equation to determine settling for particle sizes using the highest Reynolds number?

<p>K_c = 34.81 \frac{d^6}{\mu_f} (B)</p> Signup and view all the answers

What is the drag force equation applicable for Reynolds numbers between 500 and 200,000?

<p>F_d = 0.055 \pi d^6 u \rho_f (A)</p> Signup and view all the answers

What defines the criterion for the empirical equation in determining settling velocity?

<p>The highest Reynolds number for which the equation applies (B)</p> Signup and view all the answers

What does the constant K_c depend on?

<p>Particle size and viscosity (C)</p> Signup and view all the answers

If a particle is in a low Reynolds number region, which equation best describes the settling velocity?

<p>u_s = 0.153g d^3 / (\rho_f \mu) (B)</p> Signup and view all the answers

Flashcards

Sedimentation

Separation of solid particles suspended in a liquid using gravity.

Thickening

The process of increasing the concentration of suspended solids in a liquid by sedimentation.

Clarification

The process of removing suspended solids from a liquid to produce a clear effluent.

Zone C

A zone in sedimentation where the concentration of suspended solids gradually increases.

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Critical Settling Point

The point in sedimentation where the settling rate decreases and both zones of constant and variable composition disappear.

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Constant Composition Sedimentation

A type of sedimentation where the solids are suspended at a constant concentration throughout the process.

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Variable Composition Sedimentation

A type of sedimentation where the solids are suspended at a varying concentration throughout the process.

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Sedimentation Rate

The rate at which particles settle in a liquid during sedimentation.

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Separation

The process of separating a mixture into its individual components, requiring energy input.

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Mixture Formation

A natural process where chemical species combine without requiring energy.

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Separation by Phase Creation

Creating a second, immiscible phase to separate components based on differences in properties like boiling points (distillation) or melting points (crystallization).

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Separation by Phase Addition

Adding a fluid phase that selectively absorbs or extracts certain components, taking advantage of different solubilities (like liquid-liquid extraction or absorption).

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Separation by Barrier

Using a barrier, commonly a membrane, that allows selective passage of components based on their permeabilities (examples: osmosis, filtration, pervaporation).

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Separation by Solid Agent

Involving a solid agent, like porous particles, to separate components based on their adsorbability (examples: adsorption, chromatography, ion exchange).

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Distillation

Exploiting differences in volatility (e.g., vapor pressure) to separate components through evaporation and condensation.

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Crystallization

Separating components based on differences in melting point. This involves crystallizing out a desired component from a liquid mixture.

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Type 1 Settling

A settling process where the interface between the clear liquid and suspension moves downwards at a constant rate, forming a layer of sediment at the bottom. The rate decreases as the interface approaches the sediment, reaching a critical settling point where the sediment and clear liquid directly interface. Further sedimentation occurs through sediment consolidation.

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Type 2 Settling

A settling process where the sedimentation rate decreases progressively throughout the operation. There is no zone of constant composition, and the zone of increasing concentration extends from the top interface to the sediment layer.

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Settling Velocity

The speed at which individual particles settle in a suspension. This is affected by factors like particle size, density, and viscosity of the liquid.

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Factors Affecting Sedimentation Rate

Factors that influence the rate of sedimentation. These include the height of the suspension, diameter of the container, and volumetric concentration of solids.

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Hindered Settling

The rate at which particles settle in a fluid is influenced by the concentration of particles in the suspension. In concentrated suspensions, particles interact with each other, affecting the settling rate.

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Size Range Effect on Settling

In a concentrated suspension, larger particles settle faster than smaller ones, effectively increasing the density and viscosity of the fluid surrounding the smaller particles.

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Fluid Displacement

In a concentrated suspension, the fluid displacement caused by settling particles creates an upward flow that counteracts the downward settling velocity.

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Velocity Gradients

The flow patterns around settling particles in a concentrated suspension are altered due to the close proximity of particles, which affects the drag forces they experience.

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Terminal Velocity

The terminal velocity of a particle is the constant velocity reached when the gravitational force and drag force balance.

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Drag Force Equation

The drag force acting on a spherical particle is proportional to the projected area of the particle, the square of its velocity, and the fluid density. The drag coefficient accounts for the shape and size of the particle as well as the flow conditions around it.

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Drag Coefficient

The drag coefficient is a dimensionless parameter that relates the drag force to the projected area, velocity, and fluid density of the particle. It is influenced by factors such as the rotation of the particle, collisions with other particles, and Brownian motion.

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Brownian Motion

The random motion of particles in a fluid, due to collisions with surrounding molecules, is called Brownian motion. It can affect the settling rate of very small particles.

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Reynolds number

A dimensionless number that describes the ratio of inertial forces to viscous forces in a fluid flow. It is widely used to predict flow patterns in different fluid flow situations, such as around a sphere or in a pipe.

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Stokes' Law

A relationship that describes the drag force on a sphere moving through a viscous fluid at low Reynolds numbers. It states that the drag force is proportional to the velocity of the sphere, the viscosity of the fluid, and the diameter of the sphere.

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Kc (Settling Parameter)

A parameter used to categorize the different regimes of particle settling. It depends on the Reynolds number and the particle diameter.

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Reynolds Region

The region where the drag coefficient is almost independent of the Reynolds number, meaning the drag force is primarily dependent on the particle's size and velocity.

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Stokes Region

The region where the drag coefficient is directly proportional to the Reynolds number, meaning the drag force increases linearly with the Reynolds number.

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Transition Region

The region where the drag coefficient is more complex and changes with the Reynolds number, but is not directly proportional to it.

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Empirical Settling Equation (Equation 6)

An empirical equation that combines the Reynolds number, particle size, and fluid properties to estimate the settling velocity in different flow regimes. It simplifies the calculations and provides a general criterion for determining the applicability of different settling equations.

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Study Notes

Basic Separation Techniques

  • Separation of chemical mixtures is not a spontaneous process, requiring energy input
  • Multiphase mixtures are often separated into individual phases first
  • Common separation techniques are diagrammed in Figure 1.1
    • Separation by phase creation (Figure 1.1a)
    • Separation by phase addition (Figure 1.1b)
    • Separation by barrier (Figure 1.1c)
    • Separation by solid agent (Figure 1.1d)
    • Separation by force field or gradient (Figure 1.1e)
  • The most common technique creates a second, immiscible phase (Figure 1.1a)

Sedimentation

  • Mechanical separation of one bulk phase from another

  • Separates suspended solids from a liquid via gravity settling

  • Operations include thickening and clarification

  • Thickening increases solid concentration

  • Clarification produces a clear effluent (liquid)

  • Sedimentation occurs in one or two ways (Figure 2a)

    • Clear liquid (A)
    • Suspension (B)
    • Gradual increase in concentration (C)
    • Sediment layer (D)
  • Sedimentation rate varies with particle size distribution (Figure 2b)

Settling Velocity

  • Terminal velocity (ut) is the velocity at which a particle stops accelerating due to gravity
  • Drag force and buoyant force balance gravity force
  • Settling velocity affected by fluid height, vessel diameter, volumetric concentration, and shape (of the vessel)

Reynolds Number Region

  • Stokes' law (Equation 3) applies at low Reynolds numbers (NRe < ~2)
  • For intermediate Reynolds numbers (500 to 200,000), drag coefficient is relatively constant for spherical particles
  • Newton's Law is applicable for higher Reynolds numbers
  • Ranges of equations for different Reynolds numbers (Table 2)

Flocculation

  • Enhances sedimentation by causing small particles to aggregate into larger, faster-settling flocs
  • Coagulation and flocculation may occur sequentially or concurrently
  • Flocculation is the agglomeration of flocs formed during coagulation
  • Figure 3 shows the process of coagulation, flocculation, and subsequent sedimentation

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