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Dyehouse Heat Exchanger Fouling & Thermal Loss Predictor

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See what it looks like

A clean plate has almost no resistance of its own, so a thin scale layer takes over half the duty. Good exchangers foul worst.

Exchanger Condition
W/m²K
m²K/W
m²
Duty & Cost Operating
°C
°C
°C
°C
h
%
/kWh

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.

Fouled Heat Transfer Coefficient
fouledU = f( cleanU, foulingResistance, area, hotIn, hotOut, coldIn, coldOut, operatingHours, dutyFactor, fuelCost )

Each input feeds the expression evaluated in the browser; the symbol table below names every term and its unit.

Symbols used above
SymbolStands forUnit
cleanUClean Heat Transfer CoefficientW/m²K
foulingResistanceFouling Resistancem²K/W
areaHeat Transfer Aream²
hotInHot Side Inlet°C
hotOutHot Side Outlet°C
coldInCold Side Inlet°C
coldOutCold Side Outlet°C
operatingHoursOperating Hours per Yearh
dutyFactorAverage Load Factor%
fuelCostHeat Cost/kWh
fouledUFouled Heat Transfer CoefficientW/m²K
cleanDutyClean DutykW
fouledDutyFouled DutykW
capacityLossCapacity Lost%
lmtdLog Mean Temperature DifferenceK
annualEnergyShortfallEnergy Not RecoveredMWh/yr
annualCostAnnual Cost of Fouling/yr

How the result is derived

Step by step, from the values you type to the figure on screen.

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.

InputUnitAccepted rangeDefaultWhat it means
Clean Heat Transfer CoefficientW/m²K200 to 8000 W/m²K3200
Fouling Resistancem²K/W0 to 0.005 m²K/W0.0004
Heat Transfer Aream²0.5 to 500 m²12
Hot Side Inlet°C30 to 180 °C95
Hot Side Outlet°C20 to 170 °C75
Cold Side Inlet°C5 to 90 °C25
Cold Side Outlet°C10 to 150 °C60
Operating Hours per Yearh100 to 8760 h7000
Average Load Factor%5 to 100 %35
Heat Cost/kWh0.001 to 1 /kWh0.045

What the tool returns

The headline figure and every supporting value it is built from.

OutputUnitWhat it tells you
Fouled Heat Transfer Coefficient (headline result)W/m²KClean coefficient with the scale resistance in series
Clean DutykW
Fouled DutykW
Capacity Lost%
Log Mean Temperature DifferenceK
Energy Not RecoveredMWh/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

  1. 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.
  2. 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.
  3. Read Fouled Heat Transfer Coefficient in the dark results panel — that is the headline figure, expressed in W/m²K.
  4. 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.
  5. 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.

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