Slow-Steaming Sweet Spot: Finding the RPM That Saves the Most

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Slowing down saves fuel, but the cheapest speed isn’t obvious. It shifts with hire/day, fuel price, hull and prop condition, weather, and safe engine-load limits. The tool below scans your speed range, enforces a minimum continuous load, and gives you an “eco band” you can actually steer by. Use it before sailing, then nudge RPM within that band to meet the berth window without burning money.

How to use the Slow-Steaming Sweet Spot tool

This calculator finds the voyage speed that minimizes dollars per nautical mile by combining fuel burn and the time value of the vessel. It also enforces a minimum safe engine load so you don’t drift into unhealthy operating zones.

What you enter

Ref speed & fuel/day
Hotel/aux fuel
Fuel price
Hire/day or time cost
Distance
Ref RPM & %MCR
Minimum safe load

Tip: keep the speed scan range realistic for the ship and weather.

What you get

  • Fuel saved vs your baseline, suggested RPM, and estimated %MCR at the target speed.
  • An eco band table for three common states: clean hull, light fouling, head seas.
  • A JIT helper that shows how small speed nudges shift ETA without leaving the eco band.
  • A Copy Bridge Card button to paste the eco guidance into your orders or chat.

Quick steps

  1. Enter reference data in “Quick inputs”.
  2. Select a realistic speed range and press Calculate.
  3. Note the Suggested RPM and %MCR. Ensure it sits above your minimum continuous band.
  4. Open “Eco band at a glance” and capture the RPM/kn for the condition that fits today.
  5. Use the JIT helper to fine-tune arrival while staying in the eco band.
  6. Hit Copy bridge card and paste the four lines to the bridge log or voyage orders.

Assumptions (kept simple on purpose)

  • Main engine fuel scales ~with speed³, fitted from your reference point.
  • Hotel/aux is treated as constant per day. Boiler/EGB logic can change the picture at very low load.
  • Minimum safe load is enforced so recommendations do not dip below the maker’s continuous band.

Recheck the eco band after hull or prop cleaning, or when weather changes materially.

Jump to the calculator

Want a deeper dive? Open the “Show math” panel under the tool for formulas.

Fuel saved
vs ref speed
Set RPM to the eco band for this voyage. Adjust with JIT to meet berth.
Suggested RPM
target within safe band
Approx from speed ratio. Enter your ref RPM below.
Safe load band
% MCR at suggested speed
The scan enforces a minimum continuous load so you don’t dip too low.
1️⃣ Quick inputs
Example 9..15.5
Formula snapshot: total $/nm = fuel_ton_per_nm × price + time_value/(24×speed). Main engine fuel ∝ speed³. Hotel is constant per day.
2️⃣ Why the sweet spot moves
Time value of ship
SFOC vs load
Hull & prop state
Weather & routing
Aux & steam logic
Aux boiler at very low load can erase savings. Stay within maker’s continuous band.
3️⃣ Collect → Model → Validate
Collect: noon data, last clean dates, hire/day, fuel price.
Model: scan speeds, pick min $/nm including time value.
Validate: 24 h at two RPMs, keep lower kg/nm.
4️⃣ Eco band at a glance
ConditionTarget RPMSpeed knkg/nmNotes
Clean hullBaseline fouling factor 0%
Light fouling+8% shaft power
Head seas+20% shaft power
5️⃣ Guardrails
Do
  • Stay above minimum continuous load band.
  • Plan 2–3 h at higher load weekly when running low.
  • Follow CPP combinator guidance.
  • Watch EGB and boiler logic.
Do not
  • Chase low RPM in 2 m head seas.
  • Ignore rising exhaust temps or TC behavior.
  • Lock one RPM without rechecking after cleaning.
6️⃣ JIT arrival helper
PlanSpeed knETA shift vs refNote
Eco targetLowest $/nm
Eco fastUpper eco band
Eco slowLower eco band
Show math

ME fuel/day ≈ k × speed³ (k fitted from your reference). Fuel ton per nm = (ME_day + Hotel_day)/(24×speed). Total $/nm = fuel_ton_per_nm × price + time_value/(24×speed). The scanner excludes speeds that would put load below your minimum continuous band.

SFOC & notes

If you have maker SFOC vs load curves, refine offline or split k by load band. Keep RPM within continuous rating. Schedule periodic high-load if operating at low load for days.

Bridge card

Eco band & checks

  • Eco target: — kn, ≈ — RPM, load —% MCR.
  • Band: slow — kn to fast — kn. Use JIT to meet berth.
  • Do: stay above min load, watch EGB/boiler, plan weekly high-load.
  • Recheck after hull or prop clean.

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