Dairy Process Engineering, Van Slyke & Price Cheddar Cheese Yield & Milk Standardization
Van Slyke Cheddar Cheese Yield & Casein-Fat Formula
Calculate Milk Casein-to-Fat Ratio (C/F), Van Slyke Theoretical Cheese Yield (kg per 100 kg milk), Finished Curd Block Mass (kg), and Sweet Whey Mass Balance (kg).
Why 0.1% extra milk casein boosts Cheddar yield MORE than 0.1% butterfat—because para-casein micelles trap both fat globules AND bound moisture!
Commercial Cheddar and Gouda creameries standardize incoming milk inside Stainless Coagulation Kettles to an optimal **Casein-to-Fat Ratio `C / F = Casein% / Fat%`** (`0.64–0.70` for full-fat Cheddar, meeting `>=50%` Fat-in-Dry-Matter `FDM` without leaking uncaptured fat into whey!). L. L. Van Slyke & W. V. Price established the industry-benchmark **Cheese Yield Equation** (`kg` finished cheese per `100` kg standardized milk): **`Y% = ((0.93 * Fat% + (Casein% - 0.10)) * 1.09) / (1 - Moisture% / 100)`**—accounting for `93%` fat retention in the curd matrix, `0.10%` curd-fines/glycomacropeptide loss into whey, a `1.09` non-fat milk-solids & salt retention factor, and Finished Cheese Moisture `Moisture%` (`<= 39.0%` legal standard of identity for US Cheddar)! Multiplying by Milk Kettle Batch `M_{milk}` (`kg`) predicts **Finished Cheese Yield `M_{cheese} = M_{milk} * (Y% / 100)`** (`kg`) and **Drained Sweet Whey `M_{whey} = M_{milk} - M_{cheese}`** (`kg`)!
Verify on an `18,000` kg Standardized Autumn Milk Coagulation Kettle—Standardized_Milk_Fat = 3.85% (B2), Intact_Milk_Casein = 2.54% (B3 -> `C / F = 0.660` in E2), Target_Cheddar_Moisture = 37.5% (B4), and Standardized_Milk_Batch = 18,000 kg (B5): Van Slyke Cheese Yield hits `10.50` kg / `100` kg milk (E3), producing `1,890.0` kg of finished Cheddar blocks (E4) and `16,110.0` kg of sweet whey (E5)!
| Van Slyke Cheddar Yield KPI (18,000 kg Milk Kettle: Autumn 3.85/2.54/37.5% vs Summer 3.40/2.22/35.0%) | Formula | Verified Output |
|---|---|---|
| Casein-to-Fat Ratio (C / F) | Milk_Casein_Pct / Milk_Fat_Pct | 0.660 (0.653 @ summer milk) |
| Van Slyke Cheese Yield (%) | ((0.93*Fat + (Casein-0.10))*1.09)/(1-Moist/100) | 10.50% (8.86% = -1.64% yield drop!) |
| Finished Cheddar Curd Mass (kg) | Milk_Batch_kg * (Van_Slyke_Yield_Pct / 100) | 1,890.0 kg (1,594.4 kg = -295.6 kg loss!) |
| Drained Sweet Whey Mass (kg) | Milk_Batch_kg - Finished_Cheese_Mass_kg | 16,110.0 kg (16,405.6 kg whey) |
Van Slyke & Price Cheese Yield, Casein-to-Fat Ratio & Whey Mass Balance Formula
Validate `Milk_Fat` in `[2.0%, 6.5%]`, `Milk_Casein` in `[1.5%, 4.5%]`, `Target_Moisture` in `[28.0%, 55.0%]`, and `Milk_Batch > 50` kg!
=LET(ft_p, B2, cs_p, B3, ms_p, B4, mk_k, B5, yl_p, ((0.93 * ft_p + (cs_p - 0.1)) * 1.09) / (1 - (ms_p / 100)), ch_k, mk_k * (yl_p / 100), IF(OR(ft_p < 2, ft_p > 6.5, cs_p < 1.5, cs_p > 4.5, ms_p < 28, ms_p > 55, mk_k <= 50), "Invalid Dairy Input", ROUND(mk_k - ch_k, 1)))Summer Heat-Stress Milk + Over-Dry 35.0% Curd Moisture Economic Loss Check
Process un-fortified summer milk (`Fat` B2 = 3.40%, `Casein` B3 = 2.22%) and over-stir curds down to `35.0%` moisture (`B4 = 35.0` instead of `37.5%`): Van Slyke Yield E3 drops to `8.86%` and Finished Cheddar E4 loses **`295.6` kg per kettle** (`1,594.4` kg)—demonstrating why ultrafiltered (`UF`) milk-protein standardization and inline NIR moisture control are creamery profit essentials!
=IF(ISTEXT(E5), E5, ROUND(((0.93 * B2 + (B3 - 0.1)) * 1.09) / (1 - (B4 / 100)), 2))Try the example
Use the original values or change them to test your understanding.