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Percent Cake Solids given Percent Solids Recovery Calculator

Cake Solids Formula:

\[ C_s = \frac{\%R \times F \times C_c}{\%R \times F + 100 \times C_c - 100 \times F} \]

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1. What is Percent Cake Solids given Percent Solids Recovery?

Definition: This calculator determines the percentage of solids in the dewatered "cake" based on solids recovery, feed solids percentage, and centrate solids percentage.

Purpose: It helps in wastewater treatment and industrial processes to evaluate the efficiency of solid-liquid separation equipment like centrifuges.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_s = \frac{\%R \times F \times C_c}{\%R \times F + 100 \times C_c - 100 \times F} \]

Where:

Explanation: The formula calculates the percentage of solids that make it to the discharge point as dewatered cake based on the recovery efficiency and input/output concentrations.

3. Importance of Cake Solids Calculation

Details: Accurate cake solids calculation helps optimize dewatering processes, assess equipment performance, and determine disposal or reuse options for the solids.

4. Using the Calculator

Tips: Enter the percent solids recovery, feed solids percentage, and centrate solids percentage. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is Percent Solids Recovery?
A: It's the mass of solids in the cake divided by the mass of solids in the feed, expressed as a percentage.

Q2: What's a typical Feed Solids percentage?
A: This varies widely by application but typically ranges from 1% to 10% in wastewater treatment.

Q3: How is Centrate Solids percentage measured?
A: It's measured by analyzing the solids content in the liquid portion (centrate) that exits the centrifuge.

Q4: What affects Cake Solids percentage?
A: Factors include feed characteristics, centrifuge settings, polymer dosage (if used), and equipment design.

Q5: What's a good Cake Solids percentage?
A: This depends on the material, but 20-35% is typical for municipal wastewater biosolids.

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