Energy Absorbed By Material While Crushing Calculator

Formula Used:

\[ \text{Energy Absorbed by Material} = \frac{\text{Surface Energy per Unit Area} \times (\text{Area of Product} - \text{Area of Feed})}{\text{Crushing Efficiency}} \] \[ W_h = \frac{e_s \times (A_b - A_a)}{\eta_c} \]

Surface Energy per Unit Area (e_s):

J/m³

Area of Product (A_b):

m²

Area of Feed (A_a):

m²

Crushing Efficiency (η_c):

(0-1)

Energy Absorbed by Material (W_h):

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1. What is Energy Absorbed by Material?

Energy Absorbed by Material is the energy that the material particles acquire while the material is being crushed. It represents the amount of energy consumed during the crushing process that is actually absorbed by the material itself.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W_h = \frac{e_s \times (A_b - A_a)}{\eta_c} \]

Where:

\( W_h \) — Energy Absorbed by Material (J)
\( e_s \) — Surface Energy per Unit Area (J/m³)
\( A_b \) — Area of Product (m²)
\( A_a \) — Area of Feed (m²)
\( \eta_c \) — Crushing Efficiency (0-1)

Explanation: This formula calculates the energy absorbed by material during crushing based on surface energy changes and crushing efficiency.

3. Importance of Energy Absorption Calculation

Details: Calculating energy absorption is crucial for optimizing crushing processes, determining energy efficiency, and designing efficient crushing equipment in mining and material processing industries.

4. Using the Calculator

Tips: Enter surface energy per unit area in J/m³, area values in m², and crushing efficiency as a decimal between 0 and 1. All values must be positive, and area of product should be greater than area of feed for meaningful results.

5. Frequently Asked Questions (FAQ)

Q1: What is Surface Energy per Unit Area?
A: Surface Energy per Unit Area is the excess energy at the surface of a material compared to its volume, representing the energy required to create new surface area.

Q2: How is Crushing Efficiency defined?
A: Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid material.

Q3: What are typical values for crushing efficiency?
A: Crushing efficiency typically ranges from 0.1 to 0.5, depending on the material properties and crushing equipment used.

Q4: Why is area difference important in this calculation?
A: The difference between product and feed areas represents the new surface area created during crushing, which directly relates to the energy required.

Q5: What factors affect energy absorption during crushing?
A: Material properties, crushing equipment design, feed size, product size requirements, and operating conditions all affect energy absorption.