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Basic Formulas of Mechanical Operations

Formulas : 21 Size : 460 kb

Contents of the Important Formulas in Size Reduction Laws PDF

List of 19 Important Formulas in Size Reduction Laws

Area of Feed given Crushing Efficiency

Area of Product given Crushing Efficiency

Critical Speed of Conical Ball Mill

Crushing Efficiency

Energy Absorbed by Material while Crushing

Feed Diameter based on Reduction Law

Half of Gaps between Rolls

Maximum Diameter of Particle Nipped by Rolls

Mechanical Efficiency given Energy fed to System

Power Consumption for Crushing only

Power Consumption while Mill is Empty

Product Diameter Based on Reduction Ratio

Projected Area of Solid Body

Radius of Ball Mill

Radius of Crushing Rolls

Radius of Feed in Smooth Roll Crusher

Reduction Ratio

Terminal Settling Velocity of Single Particle

Work required for Reduction of Particles

Variables used in Important Formulas in Size Reduction Laws PDF

∈ Void fraction
A_a Area of Feed (Square Meter)
A_b Area of Product (Square Meter)
A_p Projected Area of Solid Particle Body (Square Meter)
C_D Drag Coefficient
d Half of Gap between Rolls (Centimeter)
D_[P,max] Maximum Diameter of Particle Nipped by Rolls (Centimeter)
D_f Feed Diameter (Centimeter)
D_p Product Diameter (Centimeter)
e_s Surface Energy per Unit Area (Joule per Cubic Meter)
F_D Drag Force (Newton)
L Length (Centimeter)
ṁ Feed Rate to Machine (Kilogram per Second)
n Richardsonb Zaki Index
N_c Critical Speed of Conical Ball Mill (Revolution per Second)
P_c Power Consumption for Crushing Only (Watt)
P_l Power Consumption by Mill While Crushing (Watt)
P_M Power Required by Machine (Watt)
P_o Power Consumption While Mill is Empty (Watt)
r Radius of Ball (Centimeter)
R Radius of Ball Mill (Centimeter)
R_c Radius of Crushing Rolls (Centimeter)
R_f Radius of Feed (Centimeter)
R_R Reduction Ratio
V Settling Velocity of Group of Particles (Meter per Second)
v_liquid Velocity of Liquid (Meter per Second)
V_t Terminal Velocity of Single Particle (Meter per Second)
W_h Energy Absorbed by Material (Joule)
W_M Energy Fed to Machine (Joule)
W_n Energy Absorbed By Unit Mass Of Feed (Joule)
W_R Work Required for Reduction of Particles (Joule per Kilogram)
α Half Angle of Nip (Radian)
η_c Crushing Efficiency
η_w Mechanical Efficiency in Terms of Energy Fed
ρ_l Density of Liquid (Kilogram per Cubic Meter)

Constants, Functions and Measurements used in Important Formulas in Size Reduction Laws PDF

Constant: pi, 3.14159265358979323846264338327950288
Archimedes' constant
Constant: [g], 9.80665
Gravitational acceleration on Earth
Function: cos, cos(Angle)
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Function: sqrt, sqrt(Number)
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Measurement: Length in Centimeter (cm)
Length Unit Conversion
Measurement: Area in Square Meter (m²)
Area Unit Conversion
Measurement: Speed in Meter per Second (m/s)
Speed Unit Conversion
Measurement: Energy in Joule (J)
Energy Unit Conversion
Measurement: Power in Watt (W)
Power Unit Conversion
Measurement: Force in Newton (N)
Force Unit Conversion
Measurement: Angle in Radian (rad)
Angle Unit Conversion
Measurement: Frequency in Revolution per Second (rev/s)
Frequency Unit Conversion
Measurement: Mass Flow Rate in Kilogram per Second (kg/s)
Mass Flow Rate Unit Conversion
Measurement: Density in Kilogram per Cubic Meter (kg/m³)
Density Unit Conversion
Measurement: Energy Density in Joule per Cubic Meter (J/m³)
Energy Density Unit Conversion
Measurement: Specific Energy in Joule per Kilogram (J/kg)
Specific Energy Unit Conversion

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