Dyehouse Heat Exchanger Fouling & Thermal Loss Predictor
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A clean plate has almost no resistance of its own, so a thin scale layer takes over half the duty. Good exchangers foul worst.
Fouled Heat Transfer Coefficient
—W/m²K
Clean coefficient with the scale resistance in series
Capacity & Cost
Clean Duty
—kW
Fouled Duty
—kW
Capacity Lost
—%
Log Mean Temperature Difference
—K
Energy Not Recovered
—MWh/yr
Annual Cost of Fouling
—/yr
Duty is computed at fixed terminal temperatures, which is the design case rather than what a fouled exchanger actually does — in service the outlet temperatures move instead and the true shortfall must come from measured temperatures on both sides. The load factor matters more than any other input for the cost figure and should be taken from flow logs, not assumed. Counter-current flow is assumed for the LMTD; a co-current or multi-pass arrangement needs its own correction factor. Fouling resistance itself grows over a cleaning cycle rather than sitting at one value, so run this at the end-of-cycle figure to size the cost of deferring a clean.
Using this calculator
About the Dyehouse Heat Exchanger Fouling & Thermal Loss Predictor
The formula
This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.
Each input feeds the expression evaluated in the browser; the symbol table below names every term and its unit.
Symbols used above
Symbol
Stands for
Unit
cleanU
Clean Heat Transfer Coefficient
W/m²K
foulingResistance
Fouling Resistance
m²K/W
area
Heat Transfer Area
m²
hotIn
Hot Side Inlet
°C
hotOut
Hot Side Outlet
°C
coldIn
Cold Side Inlet
°C
coldOut
Cold Side Outlet
°C
operatingHours
Operating Hours per Year
h
dutyFactor
Average Load Factor
%
fuelCost
Heat Cost
/kWh
fouledU
Fouled Heat Transfer Coefficient
W/m²K
cleanDuty
Clean Duty
kW
fouledDuty
Fouled Duty
kW
capacityLoss
Capacity Lost
%
lmtd
Log Mean Temperature Difference
K
annualEnergyShortfall
Energy Not Recovered
MWh/yr
annualCost
Annual Cost of Fouling
/yr
How the result is derived
Step by step, from the values you type to the figure on screen.
The 10 inputs are read from the form on every keystroke: Clean Heat Transfer Coefficient, Fouling Resistance, Heat Transfer Area, Hot Side Inlet, Hot Side Outlet, Cold Side Inlet, Cold Side Outlet, Operating Hours per Year, Average Load Factor and Heat Cost.
Each value is checked against the accepted range in the input table below. A value outside its range stops the calculation rather than producing a misleading figure — the results blank out and a message appears.
The validated values are substituted into the expression above, which resolves Fouled Heat Transfer Coefficient together with every supporting figure in one pass — no value is carried over from a previous entry.
The supporting outputs — Clean Duty, Fouled Duty, Capacity Lost, Log Mean Temperature Difference, Energy Not Recovered and Annual Cost of Fouling — come from the same pass, so they always describe the same case as the headline figure.
Results are rounded for display only. The full-precision value is used throughout the chain, so reading a rounded intermediate figure back into the tool by hand can shift the last digit.
What each input means
Where to read each value on the floor, the unit it must be in, and the range the tool accepts.
Input
Unit
Accepted range
Default
What it means
Clean Heat Transfer Coefficient
W/m²K
200 to 8000 W/m²K
3200
Fouling Resistance
m²K/W
0 to 0.005 m²K/W
0.0004
Heat Transfer Area
m²
0.5 to 500 m²
12
Hot Side Inlet
°C
30 to 180 °C
95
Hot Side Outlet
°C
20 to 170 °C
75
Cold Side Inlet
°C
5 to 90 °C
25
Cold Side Outlet
°C
10 to 150 °C
60
Operating Hours per Year
h
100 to 8760 h
7000
Average Load Factor
%
5 to 100 %
35
Heat Cost
/kWh
0.001 to 1 /kWh
0.045
What the tool returns
The headline figure and every supporting value it is built from.
Output
Unit
What it tells you
Fouled Heat Transfer Coefficient (headline result)
W/m²K
Clean coefficient with the scale resistance in series
Clean Duty
kW
Fouled Duty
kW
Capacity Lost
%
Log Mean Temperature Difference
K
Energy Not Recovered
MWh/yr
Annual Cost of Fouling
/yr
Worked example
Given
Clean Heat Transfer Coefficient
3200 W/m²K
Fouling Resistance
0.0004 m²K/W
Heat Transfer Area
12 m²
Hot Side Inlet
95 °C
Hot Side Outlet
75 °C
Cold Side Inlet
25 °C
Cold Side Outlet
60 °C
Operating Hours per Year
7000 h
Average Load Factor
35 %
Heat Cost
0.045 /kWh
The tool loads with this case already solved — the Fouled Heat Transfer Coefficient shown above is its answer. Change one value and the difference from this baseline is the sensitivity of the result to that variable.
How to use it
Work through the input groups in order — Exchanger and Duty & Cost. The defaults are a realistic case, so you can change one value at a time and watch what moves.
There is no calculate button. Every figure recalculates as you type or drag, which is what makes this usable for a what-if sweep rather than a single answer.
Read Fouled Heat Transfer Coefficient in the dark results panel — that is the headline figure, expressed in W/m²K.
Check the supporting rows underneath (Clean Duty, Fouled Duty, Capacity Lost, Log Mean Temperature Difference, Energy Not Recovered and Annual Cost of Fouling) before acting on the headline — they are where an implausible input usually shows itself first.
Reset to defaults returns every field to the reference case, which is the quickest way to check whether a surprising result came from the tool or from an input you had changed earlier.
Where this is used
Process planning — establishing Fouled Heat Transfer Coefficient before a trial is booked, so machine time and material in Advanced Utility & Power Quality are committed against a calculated figure rather than an estimate.
Costing and quotation — Fouled Heat Transfer Coefficient is an input to the cost sheet, and quoting from a worked number rather than a remembered one is what keeps a margin intact.
Troubleshooting — when the floor result drifts from plan, entering the measured values (starting with Clean Heat Transfer Coefficient) shows how much of the gap in Fouled Heat Transfer Coefficient each variable explains.
Teaching and study — the accepted ranges bracket normal Advanced Utility & Power Quality practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.
Assumptions and limits
Duty is computed at fixed terminal temperatures, which is the design case rather than what a fouled exchanger actually does — in service the outlet temperatures move instead and the true shortfall must come from measured temperatures on both sides. The load factor matters more than any other input for the cost figure and should be taken from flow logs, not assumed. Counter-current flow is assumed for the LMTD; a co-current or multi-pass arrangement needs its own correction factor. Fouling resistance itself grows over a cleaning cycle rather than sitting at one value, so run this at the end-of-cycle figure to size the cost of deferring a clean.
Every input is bounded to the range normal practice occupies (Clean Heat Transfer Coefficient 200 to 8000 W/m²K, Fouling Resistance 0 to 0.005 m²K/W and Heat Transfer Area 0.5 to 500 m², and so on for the rest). Those bounds are guard rails against typing errors, not a claim that the formula fails one unit outside them.
The calculation is deterministic: the same inputs always give the same result. It carries no allowance for machine condition, operator skill, ambient conditions or lot-to-lot material variation unless an input above explicitly represents one.
Nothing is sent anywhere. The maths runs in your browser, so the numbers you type never leave the page.
Questions people ask
What do I need to know before using the Dyehouse Heat Exchanger Fouling & Thermal Loss Predictor?
Have these to hand: Clean Heat Transfer Coefficient, Fouling Resistance, Heat Transfer Area, Hot Side Inlet, Hot Side Outlet, Cold Side Inlet, Cold Side Outlet, Operating Hours per Year, Average Load Factor and Heat Cost. With those entered, the tool returns Fouled Heat Transfer Coefficient immediately.
What exactly is Fouled Heat Transfer Coefficient?
Clean coefficient with the scale resistance in series. It is reported in W/m²K. It is derived from Clean Heat Transfer Coefficient, Fouling Resistance, Heat Transfer Area, Hot Side Inlet, Hot Side Outlet, Cold Side Inlet, Cold Side Outlet, Operating Hours per Year, Average Load Factor and Heat Cost, and is the figure the rest of the Advanced Utility & Power Quality calculation is built around.
Which units does this calculator expect?
Enter Clean Heat Transfer Coefficient in W/m²K, Fouling Resistance in m²K/W, Heat Transfer Area in m², Hot Side Inlet in °C, Hot Side Outlet in °C, Cold Side Inlet in °C, Cold Side Outlet in °C, Operating Hours per Year in h, Average Load Factor in % and Heat Cost in /kWh. Mixing unit systems is the most common cause of a result that looks an order of magnitude wrong — convert before typing, not after reading.
What are the other figures under the main result?
They are the intermediate quantities the calculation passes through: Clean Duty, Fouled Duty, Capacity Lost, Log Mean Temperature Difference, Energy Not Recovered and Annual Cost of Fouling. They are shown because a headline number nobody can trace is a number nobody trusts — checking them against your own expectation is the fastest way to confirm the inputs were read as you intended.
Can I rely on this for a production decision?
Duty is computed at fixed terminal temperatures, which is the design case rather than what a fouled exchanger actually does — in service the outlet temperatures move instead and the true shortfall must come from measured temperatures on both sides. The load factor matters more than any other input for the cost figure and should be taken from flow logs, not assumed. Counter-current flow is assumed for the LMTD; a co-current or multi-pass arrangement needs its own correction factor. Fouling resistance itself grows over a cleaning cycle rather than sitting at one value, so run this at the end-of-cycle figure to size the cost of deferring a clean. Treat the output as an engineering estimate that narrows the trial window, not as a substitute for the trial.