Quick Answer
Calculate Milk Homogenization Pressure Sizing Calculator
Calculator
Result Interpretation
Milk Homogenization Pressure Sizing Calculator computes Required homogenization pressure in Pa using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Reynolds number of milk during homogenization = 10000
- Target fat globule diameter = 8.0E-7
- Initial fat globule diameter = 4.0E-6
- Milk fat-water interfacial tension = 0.0075
Expected Result:
- Required homogenization pressure = 90000
Engineering Interpretation:
Under the given input conditions, the calculated result is: Required homogenization pressure = 90000 Pa.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
required homogenization pressure = (2.0 * milk fat-water interfacial tension * (1.0 / target fat globule diameter - 1.0 / initial fat globule diameter)) * (1.0 + 0.5 * pow(reynolds number of milk during homogenization, 0.25))Formula family: formula_dairy_milk_homogenization_pressure_sizing_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| d_initial | Initial fat globule diameter | INPUT | Initial fat globule diameter |
| d_target | Target fat globule diameter | INPUT | Target fat globule diameter |
| sigma_milk | Milk fat-water interfacial tension | INPUT | Milk fat-water interfacial tension |
| Re_milk | Reynolds number of milk during homogenization | INPUT | Reynolds number of milk during homogenization |
| homogenization_pressure | Required homogenization pressure | OUTPUT | Required homogenization pressure |
Calculation Steps
- Enter the initial fat globule diameter in m.
- Enter the target fat globule diameter in m.
- Enter the milk fat-water interfacial tension in N/m.
- Enter the reynolds number of milk during homogenization in 1.
- Step 1: Compute required homogenization pressure.
- Read the required homogenization pressure (Pa) from the results.
Engineering Summary
Calculate Milk Homogenization Pressure Sizing Calculator
Frequently Asked Questions
What does this calculator calculate?
The Milk Homogenization Pressure Sizing Calculator estimates Required homogenization pressure based on the input parameters you provide
Why is initial fat globule diameter important in this calculation?
initial fat globule diameter is directly proportional to required homogenization pressure. When you enter initial fat globule diameter in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result required homogenization pressure?
The calculator outputs required homogenization pressure in Pa. For higher pressures, divide by 1000 to express in kPa, or by 101325 for atmospheres. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Initial fat globule diameter (m), Target fat globule diameter (m), Milk fat-water interfacial tension (N/m). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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