Plant Care
- • Climate Control & VPD16
- • Disease & Pest Management14
- • Nutrient Solutions & EC34
- • Plant Health Monitoring7
Inputs
12 parameters · live recalculation on every change
°C
0°C
20°C default
35°C
PPT
0ppt
0ppt default
40ppt
M
0m
0m default
5000m
L
10L
200L default
10000L
Pro Settings — Lab Controls
MG/L/H
0mg/L/h
0.5mg/L/h default
5mg/L/h
PPM
0ppm
50ppm default
500ppm
0.5
1 default
2
Advanced Settings — Deterministic Corrections
HPA
800hPa
1013hPa default
1100hPa
RPM
0rpm
100rpm default
1000rpm
MM
0.5mm
2mm default
10mm
L/MIN
0L/min
5L/min default
100L/min
Insight band · live
From ceiling to the root zone
One bridge at a time: what the water can hold, what the system takes back, and the DO your roots actually see.
- Saturation ceiling 9.0 9.00 mg/L
- − Aeration shortfall + root drawdown 3.0 6.00 mg/L
- Actual DO 6.0 6.00 mg/L
Saturation: 67 %
Aeration efficiency: 70 %
Root consumption: 0.6 mg/L/h
Running total after each term — the final net matches the headline reading in the result card, kept in sync live.
Deterministic model
12 inputs · 10 outputs
Runs 100% in your browser
This is a deterministic model: the same inputs always produce the same outputs, calculated entirely in your browser with nothing sent to any server. It is a planning aid — not a quote, not a dosing instruction, and not a yield forecast. Treat every line as a working estimate and validate it against your own prices and measurements.
It models one system: A dissolved oxygen calculator that starts from the saturation ceiling your water can actually hold — the Benson & Krause 1984 temperature and salinity polynomial (9.1 mg/L at 20 °C, 7.5 at 30 °C, 11.3 at 10 °C, sea level, 0 ppt) corrected for altitude and barometric pressure — then applies your aeration type efficiency (air stone 70%, venturi 90%, waterfall 50%, diffuser 75%) scaled by bubble size, air flow and stirring, subtracts root respiration and organic load, and closes the DO picture in a green—yellow—red safety band around the 6.0 mg/L root-zone survival line.
What the Dissolved Oxygen Calculator — Saturation & Aeration Blueprint returns
The engine computes 10 outputs from your 12 inputs. The headline number is Dissolved Oxygen (mg/L), alongside Saturation Ceiling, Saturation, Aeration Efficiency. Every output updates live as you change a parameter.
What it does not do
Outputs depend on the inputs and assumptions shown here. Confirm relevant measurements and local conditions before acting.
STEP 01
Read the water temperature
STEP 02
Enter salinity and altitude
STEP 03
Pick the aeration device
STEP 04
Scale transfer by bubble, flow and stirring
STEP 05
Subtract root and organic consumption
STEP 06
Judge against the safety line
DO_{sat}=14.652-0.41022T+0.007991T^{2}-0.000077774T^{3}-S\left(0.1615-0.00113T+0.000009T^{2}\right)
DO saturation ceiling (Benson & Krause 1984, polynomial form)
DO_{sat,p}=DO_{sat}\cdot\frac{P}{1013\,\mathrm{hPa}}
Barometric pressure correction (linear pressure ratio)
DO_{alt\_loss}=h_{m}\cdot0.001\cdot0.12\,\frac{\mathrm{mg/L}}{100\,\mathrm{m}}
Altitude loss — roughly 0.12 mg/L per 100 m ascent
Eff_{actual}=Eff_{base}\cdot f_{bubble}\cdot\left(\frac{Q}{5\,\mathrm{L/min}}\right)^{0.2}\cdot\left(\frac{rpm}{100}\right)^{0.1}
Aeration efficiency — base device efficiency scaled by bubble, flow and stirring
C_{actual}=C_{root}\cdot f_{respiration}+Org_{ppm}\cdot0.002
Actual oxygen consumption — root respiration plus organic load
DO_{actual}=DO_{sat,p}\cdot\frac{Eff_{actual}}{100}-C_{actual}\cdot0.5
DO you actually hold — saturation ceiling times transfer efficiency, minus consumption
Sat\%=\frac{DO_{actual}}{DO_{sat,p}}\cdot100
Saturation percentage of the achievable ceiling
Deficit=DO_{sat,p}-DO_{actual}
Oxygen deficit — the gap between ceiling and reality
Saturation anchors to remember: 14.6 mg/L at 0 °C, 9.1 at 20 °C, 7.5 at 30 °C, all sea level and 0 ppt — the Benson & Krause family of the archived water-temp-do-risk engine.
Salinity 35 ppt loses roughly 20% of the ceiling; altitude costs about 12% per 1000 m ascent.
Aeration device efficiency locked at air stone 70%, venturi 90%, waterfall 50%, diffuser 75% — the venturi wins by shearing the surface, which is why it beats any air stone.
Bubble size scales the base: 0.5 mm fine stone 1.3×, 2 mm baseline 1.0×, 5 mm coarse 0.7×.
Consumption: root respiration 0.5 mg/L/h baseline × factor, plus 0.1 mg/L/h for every 50 ppm of organic load.
Safety bands: > 6 mg/L GREEN, 4–6 YELLOW (stress), 26 °C, consumption > 3 mg/L/h, or saturation < 60%.
- DO saturation: DO = 14.652 − 0.41022·T + 0.007991·T² − 0.000077774·T³ − salinity·(0.1615 − 0.00113·T + 0.000009·T²) — the classic Benson & Krause (1984) solubility polynomial in dissolved polynomial form, the same family the archived water-temp-do-risk engine cited for its saturation ceiling; 9.1 mg/L at 20 °C sea level and 0 ppt.
- Pressure: saturation scales by pressure ÷ 1013 hPa, and altitude correction = altitude·0.001·0.12 mg/L per 100 m — the archived engine folded altitude through US-standard-pressure; this arm prices the same loss straight in mg/L.
- Aeration efficiency: air stone 70%, venturi 90%, waterfall 50%, diffuser 75%, scaled by bubble size (0.5 mm 1.3×, 2 mm 1.0×, 5 mm 0.7×) × air flow (÷5)^0.2 × stirring (÷100)^0.1 — the archived air-stone-vs-venturi guide ranked transfer by surface shear, and the venturi's 90% is that ranking locked.
- Fuel balance: actual efficiency = base × bubble factor × flow term × stirring term — no oxygen enters without a transfer surface, so the final DO is saturation × efficiency ÷ 100, never saturation alone.
- Consumption: actual = O₂ consumption × respiration factor + organic load × 0.002 — the archived nutrient and reservoir guides tied organic solids to the microbial oxygen draw; 50 ppm organic load costs ~0.1 mg/L/h.
- Safety: DO > 6 mg/L GREEN, 4–6 YELLOW, < 4 RED, plus RED flags for water over 26 °C, consumption over 3 mg/L/h, or saturation under 60% — the archived root-zone guidance used 6.0 mg/L as the hypoxia survival line and 4.0 as the death line.
This model combines the earlier Dissolved-oxygen-calculator, Oxygen-saturation-calculator, Aeration-calculator models.
Q1: dissolved oxygen hydroponics calculator ▾
The dissolved oxygen calculator computes your real root-zone DO in mg/L by multiplying the temperature-and-salinity saturation ceiling (9.1 mg/L at 20 °C, sea level) by your aeration device efficiency — air stone 70%, venturi 90%, waterfall 50%, diffuser 75% — scaled for bubble size, airflow and stirring, then subtracting root respiration and organic load. The result is benchmarked against the 6 mg/L survival line and 4 mg/L death line in the safety band.
Q2: oxygen saturation calculator water ▾
Oxygen saturation in water is 14.6 mg/L at 0 °C, 9.1 at 20 °C, and 7.5 at 30 °C at sea level and zero salinity. The oxygen saturation calculator applies the Benson & Krause 1984 polynomial to your temperature and salinity, corrects for altitude and barometric pressure, and reports both the saturation ceiling and the saturation percentage your aerator actually reaches.
Q3: how much dissolved oxygen do roots need ▾
Hydroponic roots want 6 mg/L or more of dissolved oxygen — 7–9 mg/L is the ideal band. Between 4 and 6 mg/L roots are stressed and Pythium risk climbs; below 4 mg/L they begin dying within hours. The DO calculator flags each tier in its green-yellow-red safety band.
Q4: aeration calculator hydroponics ▾
The aeration calculator scales device transfer efficiency by bubble size, airflow, and stirring: air stone 70%, venturi 90%, waterfall 50%, diffuser 75%, with fine 0.5 mm bubbles worth 1.3× and coarse 5 mm bubbles 0.7×. It converts your aeration setup into the real mg/L you deliver, not the theoretical ceiling.
Q5: DO saturation temperature ▾
DO saturation falls with temperature: 14.6 mg/L at 0 °C, 10.9 at 15 °C, 9.1 at 20 °C, 8.2 at 25 °C, and 7.5 at 30 °C at sea level and zero salinity. This is exactly why warm reservoirs read low even with big aerators — the ceiling itself shrinks.
Q6: how to increase dissolved oxygen ▾
Increase dissolved oxygen fastest with a venturi or waterfall that breaks the water surface (90% transfer) rather than bigger air stones; switch to fine 0.5 mm bubbles (1.3×), raise airflow and stirring, and drop water temperature — each degree under 26 °C raises the saturation ceiling the aeration has left to fill.