Calculator
Fill the fields below, then click Calculate. Results appear above this form.
Example data table
These sample values illustrate typical magnitudes. Your real savings depend on temperatures, size, operating time, and local energy prices.
| Scenario | Diameter (m) | Height (m) | Thot (°C) | Tamb (°C) | Thickness (mm) | Annual savings (at $0.12/kWh, η=0.90) |
|---|---|---|---|---|---|---|
| Bare tank (baseline) | 2.0 | 3.0 | 80 | 25 | 0 | — |
| Add insulation | 2.0 | 3.0 | 80 | 25 | 50 | $6,924 / year |
| Thicker insulation | 2.0 | 3.0 | 80 | 25 | 75 | $7,258 / year |
Formula used
This tool models steady-state heat loss using a resistance network. For the cylindrical wall:
- Temperature difference: ΔT = Thot − Tamb
- Inside film resistance: Rin = 1 / (hin · 2πr1 · L)
- Insulation conduction: Rcond = ln(r2/r1) / (2πkL)
- Outside film resistance: Rout = 1 / (hout · 2πr2 · L)
- Heat loss (side wall): Q = ΔT / (Rin + Rcond + Rout)
If you enable ends, the top and bottom are approximated as flat surfaces with:
- Rend = 1/(hinAin) + t/(kAmean) + 1/(houtAout)
- Qends = 2 · ΔT / Rend
Annual energy is computed from heat loss using operating hours, then converted to input energy by dividing by system efficiency. Annual cost = (kWhthermal / η) · price.
How to use this calculator
- Choose units and enter tank diameter, height, and tank count.
- Enter the operating and ambient temperatures for your typical conditions.
- Fill existing and proposed insulation thickness, then select k or R-value.
- Set operating hours, efficiency, and your energy price.
- Add installed cost and optional discount and escalation rates for NPV.
- Press Calculate. Use the download buttons to save results.