Short questions and answers (Q&A)

Short questions and answers

1.   Write the Rosin Ramler Equation for particle distribution 
2.  Define throw of a crusher
3.  Define progeny particle
4.  Write the equation for screen angle factor 
5.  What do you mean by the term Breakage'
6. Write the expression for Reynolds number 
7. Write the relationship between energy and breakage 
8.  What do you mean by classification function 
9.  Define the term through in Jaw crusher 
10.  Define D 50 for a Hydro cyclone

1. Rosin-Rammler Equation for Particle Distribution: The Rosin-Rammler distribution function is given by:

   $$P(D) = 1 - \exp{\left(-\left(\frac{D}{D_{63.2}}\right)^n\right)}$$

   Here, $D_{63.2}$ is the size at which the function has a value of 0.632, and $n$ is a distribution parameter. (Page 8 of Modeling and Simulation of Mineral Processing Systems)

2. Throw of a Crusher: The "throw" of a crusher refers to the distance by which the moving jaw or cone oscillates. It is a key factor influencing the capacity and particle size distribution in crushing operations. Specific details of this term are described in the section on crushing machines. (Refer to Chapter 5 on comminution, Page 152)

3. Progeny Particle: Progeny particles are the fragments produced as a result of breakage during comminution processes. They are characterized by their size distribution, composition, and liberation. (Page 9)

4. Equation for Screen Angle Factor: The screen angle factor affects screening efficiency and is influenced by the inclination of the screen. The expression is not explicitly written in the available sections but is discussed under classification functions. (Page 91)

5. Meaning of the Term 'Breakage': Breakage refers to the fracturing of particles into smaller sizes, typically governed by mechanical forces. It is quantified using breakage functions, which describe size distributions of progeny particles. (Page 132)

6. Expression for Reynolds Number: Reynolds number, a dimensionless quantity, is given by:

   $$\text{Re} = \frac{\rho v d}{\mu}$$

   Where $\rho$ is the fluid density, $v$ is the velocity, $d$ is the characteristic length (e.g., particle diameter), and $\mu$ is the dynamic viscosity. (Page 102)

7. Relationship Between Energy and Breakage: The energy required for breakage is related to the size reduction via comminution laws like Bond’s, Rittinger’s, or Kick’s laws. For example, Bond's energy equation is:

   $$W = 10 \cdot Wi \cdot \left(\frac{1}{\sqrt{P}} - \frac{1}{\sqrt{F}}\right)$$

   Where $W$ is the energy, $Wi$ is the work index, and $P, F$ are the product and feed sizes, respectively. (Page 150)

8. Classification Function: The classification function describes the probability that a particle of a given size passes through a classifier. It is commonly represented as a partition curve or Tromp curve. (Page 86)

9. Through in Jaw Crusher: The "through" of a jaw crusher refers to the passage or throughput capacity, influenced by feed material properties and crusher settings. (Page 152)

10. Definition of $D_{50}$ for a Hydrocyclone: $D_{50}$ is the cut size of a hydrocyclone, where 50% of particles are classified to the overflow and 50% to the underflow. It is critical for understanding the separation efficiency of the cyclone. (Page 98)