Examples
Examples
Try the starting example
- Cumulative filtrate volumes (m³)
- 0.001,0.002,0.003,0.004
- Corresponding times (seconds)
- 12,28,48,72
- Filter area (m²)
- 0.1
- Pressure difference (Pa)
- 100000
- Dynamic viscosity (Pa s)
- 0.001
- Dry cake solids per filtrate volume (kg/m³)
- 10
- Specific cake resistance (m/kg)
- 400,000,000,000.000061
- Medium resistance (1/m)
- 100000000000
- Linearized R squared
- 1
Try another scenario
- Cumulative filtrate volumes (m³)
- [0.001, 0.002, 0.003, 0.004]
- Corresponding times (seconds)
- [14, 32, 54, 80]
- Filter area (m²)
- 0.1
- Pressure difference (Pa)
- 100000
- Dynamic viscosity (Pa s)
- 0.001
- Dry cake solids per filtrate volume (kg/m³)
- 10
- Specific cake resistance (m/kg)
- 400,000,000,000.000061
- Medium resistance (1/m)
- 120000000000
- Linearized R squared
- 1
Calculation method
Calculation method
Specific cake resistance (m/kg)
Fit t/V = slope V + intercept; alpha=2 area² pressure slope/(viscosity solids).
Medium resistance (1/m)
Rm=area pressure intercept/viscosity.
Linearized R squared
Constant-pressure incompressible cake model; reject negative fitted resistances.
Symbols and units
- a
- Cumulative filtrate volumes (m³)
- b
- Corresponding times (seconds)
- c
- Filter area (m²)
- d
- Pressure difference (Pa)
- e
- Dynamic viscosity (Pa s)
- f
- Dry cake solids per filtrate volume (kg/m³)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Filtrate-time data, supplied geometry-properties. Returns Model fit and resistance parameters. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Cumulative filtrate volumes (m³): minimum 1e-12, maximum 1000000000000.0. Corresponding times (seconds): minimum 1e-12, maximum 1000000000000.0. Filter area (m²): minimum 1e-12, maximum 1000000000000.0. Pressure difference (Pa): minimum 1e-12, maximum 1000000000000.0. Dynamic viscosity (Pa s): minimum 1e-12, maximum 1000000000000.0. Dry cake solids per filtrate volume (kg/m³): minimum 1e-12, maximum 1000000000000.0.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.