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SMS Layer Balance: Barrier Against Strength

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See what it looks like

Every gram moved to meltblown buys barrier and costs tensile. Only finer meltblown escapes the trade.

Laminate A fixed weight to divide
g/m2
%

The split under negotiation

nos
um

The one lever that improves barrier without costing strength

Calibration & Target Fitted on measured laminate
mbar.um.m2/g
N/5cm/g/m2
mbar
cost/kg
cost/kg

Hydrostatic Head

— mbar

The barrier this split delivers

Split, Performance & Cost

Meltblown Weight
— g/m2
Spunbond Weight
— g/m2
Spunbond per Layer
— g/m2
Tensile Strength
— N/5cm
Head per Gram of Laminate
— mbar.m2/g
Material Cost
— cost/m2
Meltblown the Target Head Needs
— g/m2
Share that Represents
— %
Spunbond Left at that Split
— g/m2
Tensile at that Split
— N/5cm

Both performance relations are linear fits and both have limits the linear form does not show. Hydrostatic head does not rise indefinitely with meltblown weight: below roughly two or three grams per square metre the layer has pinholes and delivers almost no head at all, so the linear model badly overstates thin barriers, and at the other end head saturates as the structure becomes effectively closed. Tensile is genuinely close to linear in spunbond weight over the ordinary range but depends on bonding calender temperature and pattern at least as much as on grams, and an over-bonded laminate loses tear while gaining tensile. Fit both constants on the actual laminate being made. The cost figure is polymer and conversion only and ignores the fact that meltblown output per line-hour is a small fraction of spunbond output, so the true marginal cost of a meltblown gram in a plant running near capacity is far above its material cost - which is usually the real reason a producer resists raising the share. Nothing here treats the alcohol repellency or the barrier-to-liquid-under-pressure that a medical specification actually calls for; hydrostatic head correlates with them but does not substitute for them.

Using this calculator

About the SMS Layer Balance: Barrier Against Strength

The formula

This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.

A fixed weight, divided
meltblown = total x share / 100 spunbond = total - meltblown

Nothing is added by moving the split; one layer gains exactly what the other loses.

Barrier from grams and fineness
head = k x meltblownWeight / meltblownDiameter

Finer fibre is the only term that raises head without taking grams from the spunbond, which is why it is worth chasing on the die.

Solving the barrier requirement
meltblownForHead = targetHead x diameter / k

Inverting the head relation gives the minimum meltblown weight; everything above it is available for strength.

Symbols used above
SymbolStands forUnit
totalBasisWeightTotal Basis Weightg/m2
meltblownShareMeltblown Share%
spunbondLayersSpunbond Layersnos
meltblownDiameterMeltblown Fibre Diameterum
headConstantHead Constantmbar.um.m2/g
tensileConstantTensile ConstantN/5cm/g/m2
targetHeadTarget Hydrostatic Headmbar
spunbondCostSpunbond Costcost/kg
meltblownCostMeltblown Costcost/kg
hydrostaticHeadHydrostatic Headmbar
meltblownWeightMeltblown Weightg/m2
spunbondWeightSpunbond Weightg/m2
spunbondPerLayerSpunbond per Layerg/m2
tensileStrengthTensile StrengthN/5cm
headPerGramHead per Gram of Laminatembar.m2/g
costPerM2Material Costcost/m2
meltblownForTargetHeadMeltblown the Target Head Needsg/m2
shareForTargetHeadShare that Represents%
spunbondAfterTargetSpunbond Left at that Splitg/m2
tensileAfterTargetTensile at that SplitN/5cm

How the result is derived

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

  1. The 9 inputs are read from the form on every keystroke: Total Basis Weight, Meltblown Share, Spunbond Layers, Meltblown Fibre Diameter, Head Constant, Tensile Constant, Target Hydrostatic Head, Spunbond Cost and Meltblown 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 Hydrostatic Head together with every supporting figure in one pass — no value is carried over from a previous entry.
  4. The supporting outputs — Meltblown Weight, Spunbond Weight, Spunbond per Layer, Tensile Strength, Head per Gram of Laminate, Material Cost, Meltblown the Target Head Needs, Share that Represents, Spunbond Left at that Split and Tensile at that Split — 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
Total Basis Weightg/m28 to 200 g/m235
Meltblown Share%2 to 80 %20The split under negotiation
Spunbond Layersnos1 to 6 nos2
Meltblown Fibre Diameterum0.3 to 15 um2.2The one lever that improves barrier without costing strength
Head Constantmbar.um.m2/g1 to 200 mbar.um.m2/g22
Tensile ConstantN/5cm/g/m20.1 to 10 N/5cm/g/m21.3
Target Hydrostatic Headmbar5 to 500 mbar60
Spunbond Costcost/kg0 to 50 cost/kg1.9
Meltblown Costcost/kg0 to 50 cost/kg3.4

What the tool returns

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

OutputUnitWhat it tells you
Hydrostatic Head (headline result)mbarThe barrier this split delivers
Meltblown Weightg/m2
Spunbond Weightg/m2
Spunbond per Layerg/m2
Tensile StrengthN/5cm
Head per Gram of Laminatembar.m2/g
Material Costcost/m2
Meltblown the Target Head Needsg/m2
Share that Represents%
Spunbond Left at that Splitg/m2
Tensile at that SplitN/5cm

Worked example

Given

Total Basis Weight
35 g/m2
Meltblown Share
20 %
Spunbond Layers
2 nos
Meltblown Fibre Diameter
2.2 um
Head Constant
22 mbar.um.m2/g
Tensile Constant
1.3 N/5cm/g/m2
Target Hydrostatic Head
60 mbar
Spunbond Cost
1.9 cost/kg
Meltblown Cost
3.4 cost/kg

The tool loads with this case already solved — the Hydrostatic Head 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 — Laminate and Calibration & Target. 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 Hydrostatic Head in the dark results panel — that is the headline figure, expressed in mbar.
  4. Check the supporting rows underneath (Meltblown Weight, Spunbond Weight, Spunbond per Layer, Tensile Strength, Head per Gram of Laminate, Material Cost, Meltblown the Target Head Needs, Share that Represents, Spunbond Left at that Split and Tensile at that Split) 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 Hydrostatic Head before a trial is booked, so machine time and material in Nonwovens, Filtration, Hygiene & Technical Webs are committed against a calculated figure rather than an estimate.
  • Costing and quotation — Hydrostatic Head 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 Total Basis Weight) shows how much of the gap in Hydrostatic Head each variable explains.
  • Teaching and study — the accepted ranges bracket normal Nonwovens, Filtration, Hygiene & Technical Webs practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Assumptions and limits

  • Both performance relations are linear fits and both have limits the linear form does not show. Hydrostatic head does not rise indefinitely with meltblown weight: below roughly two or three grams per square metre the layer has pinholes and delivers almost no head at all, so the linear model badly overstates thin barriers, and at the other end head saturates as the structure becomes effectively closed. Tensile is genuinely close to linear in spunbond weight over the ordinary range but depends on bonding calender temperature and pattern at least as much as on grams, and an over-bonded laminate loses tear while gaining tensile. Fit both constants on the actual laminate being made. The cost figure is polymer and conversion only and ignores the fact that meltblown output per line-hour is a small fraction of spunbond output, so the true marginal cost of a meltblown gram in a plant running near capacity is far above its material cost - which is usually the real reason a producer resists raising the share. Nothing here treats the alcohol repellency or the barrier-to-liquid-under-pressure that a medical specification actually calls for; hydrostatic head correlates with them but does not substitute for them.
  • Every input is bounded to the range normal practice occupies (Total Basis Weight 8 to 200 g/m2, Meltblown Share 2 to 80 % and Spunbond Layers 1 to 6 nos, 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 SMS Layer Balance: Barrier Against Strength?

Have these to hand: Total Basis Weight, Meltblown Share, Spunbond Layers, Meltblown Fibre Diameter, Head Constant, Tensile Constant, Target Hydrostatic Head, Spunbond Cost and Meltblown Cost. With those entered, the tool returns Hydrostatic Head immediately.

What exactly is Hydrostatic Head?

The barrier this split delivers. It is reported in mbar. It is derived from Total Basis Weight, Meltblown Share, Spunbond Layers, Meltblown Fibre Diameter, Head Constant, Tensile Constant, Target Hydrostatic Head, Spunbond Cost and Meltblown Cost, and is the figure the rest of the Nonwovens, Filtration, Hygiene & Technical Webs calculation is built around.

Which units does this calculator expect?

Enter Total Basis Weight in g/m2, Meltblown Share in %, Spunbond Layers in nos, Meltblown Fibre Diameter in um, Head Constant in mbar.um.m2/g, Tensile Constant in N/5cm/g/m2, Target Hydrostatic Head in mbar, Spunbond Cost in cost/kg and Meltblown Cost in cost/kg. 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: Meltblown Weight, Spunbond Weight, Spunbond per Layer, Tensile Strength, Head per Gram of Laminate, Material Cost, Meltblown the Target Head Needs, Share that Represents, Spunbond Left at that Split and Tensile at that Split. 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?

Both performance relations are linear fits and both have limits the linear form does not show. Hydrostatic head does not rise indefinitely with meltblown weight: below roughly two or three grams per square metre the layer has pinholes and delivers almost no head at all, so the linear model badly overstates thin barriers, and at the other end head saturates as the structure becomes effectively closed. Tensile is genuinely close to linear in spunbond weight over the ordinary range but depends on bonding calender temperature and pattern at least as much as on grams, and an over-bonded laminate loses tear while gaining tensile. Fit both constants on the actual laminate being made. The cost figure is polymer and conversion only and ignores the fact that meltblown output per line-hour is a small fraction of spunbond output, so the true marginal cost of a meltblown gram in a plant running near capacity is far above its material cost - which is usually the real reason a producer resists raising the share. Nothing here treats the alcohol repellency or the barrier-to-liquid-under-pressure that a medical specification actually calls for; hydrostatic head correlates with them but does not substitute for them. Treat the output as an engineering estimate that narrows the trial window, not as a substitute for the trial.

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