§ 07 A worked example
Same feedstock, two moisture levels, two very different system sizes.
This section walks through an actual energy-balance calculation for a representative project. The numbers are illustrative, not a quote. Real projects use the feedstock characterization in § 03, the same equation in § 02, and a model that's specific to your lab data, schedule, and site constraints. But the math here is the math we use.
The project
A mid-size US dairy, roughly 500–700 lactating head, currently composting separated manure solids on-site. The composting footprint is at capacity, the nutrient management plan is pressuring further volume reduction, and the operator wants an on-farm thermal solution that reduces disposal volume and produces a soil amendment they can use or sell. Upstream dewatering is not currently optimized; the solids stream comes off the screw press at roughly 75% moisture.
Feedstock characterization (lab analysis)
| Moisture (wet basis) | 75% |
| Ash (dry basis) | 12% |
| Higher heating value (HHV, dry) | 18.0 MJ/kg |
| Volatile matter (dry) | 73% |
| Fixed carbon (dry) | 15% |
Operating schedule & throughput
80 hours/week — five days × sixteen hours, an operator-attended schedule that doesn't require overnight staffing. Fifty productive weeks per year = 4,000 operating hours annually.
The dairy generates roughly 20 tons/week of separated solids that need disposal. Over 80 operating hours: 250 kg/hr wet throughput. That's the input to the energy balance below.
The energy balance at 75% moisture
| Term | Mass / basis | Power (kWth) |
| In: Feedstock chemical energy | 62.5 kg/hr dry × 18.0 MJ/kg HHV | +312.5 |
| Less: Energy retained in biochar product | 17.5 kg/hr biochar × 26 MJ/kg | −125.0 |
| Equals: Combustible gas + tar energy (released in secondary chamber) | | +187.5 |
| Less: Water evaporation (latent, 2.26 MJ/kg) | 187.5 kg/hr × 2.26 MJ/kg | −117.7 |
| Less: Water sensible heating (20 → 100 °C) | 187.5 kg/hr × 4.186 kJ/kg·K × 80 K | −17.4 |
| Less: Pyrolysis endothermic enthalpy | ≈ 8% of feedstock energy | −25.0 |
| Less: Jacket and radiation losses | ≈ 4% of feedstock energy | −12.5 |
| Less: Stack losses | ≈ 8% of combustion heat | −15.0 |
| Less: System electrical demand | motors, blowers, controls | −8.0 |
| Equals: Recoverable heat at heat exchanger | (at 75% moisture) | −8.1 |
At 75% moisture, this project sits at breakeven for self-sustained operation — the feedstock's chemical energy is fully consumed by water evaporation, pyrolysis enthalpy, and conduction losses. The system would run, the biochar would be produced, but the operator wouldn't have meaningful thermal output to recover.
What changes at 60% moisture
If the operator invests in upstream dewatering — improved screw press performance, supplementary solar drying, or a brief mechanical compression stage — and brings the feedstock to 60% moisture at the same 250 kg/hr volumetric rate, the energy balance shifts substantially.
| Same 250 kg/hr feedstock | At 75% moisture | At 60% moisture |
| Dry mass per hour | 62.5 kg/hr | 100 kg/hr |
| Feedstock chemical energy | 312.5 kW | 500.0 kW |
| Water evaporation demand | 135.1 kW | 108.2 kW |
| Stack + jacket + system losses | 35.5 kW | 56.5 kW |
| Pyrolysis endothermic enthalpy | 25.0 kW | 35.0 kW |
| Biochar product (exits as product) | 125.0 kW | 200.0 kW |
| Recoverable heat at HX | −8.1 kW | +100.3 kW |
The central insight
A 15-percentage-point reduction in moisture moves the system from breakeven to ~100 kW of recoverable thermal output. Tons per day looks the same in both columns. The engineering reality differs by an order of magnitude. This is why we don't quote from tons-per-day alone.
What this tells the operator
- 75% moisture is technically operable. The system will produce biochar, achieve volume reduction, and inactivate pathogens. But there's no usable thermal output to offset propane, grain drying, or electrical generation.
- 60% moisture transforms the economics. At the same volumetric throughput, the system now produces recoverable heat that can offset 100+ kW of farm thermal demand. If propane costs $1.50/gallon (≈ $0.055/kWh equivalent), that's roughly $22,000/year of avoided fuel cost.
- The right pre-treatment investment is the highest-leverage decision. Far more impactful than picking a different model line or adjusting operating hours. A $50,000 upstream dewatering improvement pays back in 2–3 years from thermal recovery alone, before counting biochar offtake value or composting capacity recovery.
Important caveats
This worked example uses representative values, not your project. Every real sizing model uses your feedstock's actual lab analysis, your actual operating schedule, and your actual site conditions.
- The 28% biochar yield assumed here is typical for manures; your feedstock could yield 22–35% depending on lignin content, ash composition, and pyrolysis temperature.
- The 8% stack loss assumes properly insulated heat exchange; under-insulated enclosures or older units can run higher.
- The 18 MJ/kg HHV is a midpoint; lab results for separated dairy manure typically range 16–20 MJ/kg.
- Pyrolysis endothermic enthalpy varies with feedstock — 5% to 12% of feedstock energy depending on volatile content and operating temperature.
Send your moisture, ash, HHV, volatile matter, particle size, bulk density, contaminant screen, intended operating hours, and intended biochar use. We model from there.
Start a sizing →