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Interfacial Tension by Laplace Equation Formula

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Interfacial Tension is the force of attraction between the molecules at the interface of two fluids. Check FAQs

σ i = ΔP - (\frac{R 1 \cdot R 2}{R 1 + R 2})

σ_i - Interfacial Tension?ΔP - Laplace Pressure?R₁ - Radius of Curvature at Section 1?R₂ - Radius of Curvature at Section 2?

Interfacial Tension by Laplace Equation Example

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Here is how the Interfacial Tension by Laplace Equation equation looks like with Values.

Here is how the Interfacial Tension by Laplace Equation equation looks like with Units.

Here is how the Interfacial Tension by Laplace Equation equation looks like.

3618.4074 = 5 - (\frac{1.67 \cdot 8}{1.67 + 8})

3618.4074mN*m = 5Pa - (\frac{1.67m \cdot 8m}{1.67m + 8m})

3618.4074 = 5 - (\frac{1.67 \cdot 8}{1.67 + 8})

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Interfacial Tension by Laplace Equation Solution

Follow our step by step solution on how to calculate Interfacial Tension by Laplace Equation?

FIRST Step Consider the formula

σ i = ΔP - (\frac{R 1 \cdot R 2}{R 1 + R 2})

Next Step Substitute values of Variables

∴

σ i = 5Pa - (\frac{1.67m \cdot 8m}{1.67m + 8m})

Next Step Prepare to Evaluate

∴

σ i = 5 - (\frac{1.67 \cdot 8}{1.67 + 8})

Next Step Evaluate

∴

σ i = 3.61840744570838N*m

Next Step Convert to Output's Unit

∴

σ i = 3618.40744570838mN*m

LAST Step Rounding Answer

∴

σ i = 3618.4074mN*m

Interfacial Tension by Laplace Equation Formula Elements

Variables

Interfacial Tension

Interfacial Tension is the force of attraction between the molecules at the interface of two fluids.

Symbol: σ_i

Measurement: Moment of ForceUnit: mN*m

Note: Value should be greater than 0.

Formulas to find Interfacial Tension

Laplace Pressure

The Laplace Pressure is the pressure difference between the inside and the outside of a curved surface that forms the boundary between a gas region and a liquid region.

Symbol: ΔP

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Laplace Pressure

Radius of Curvature at Section 1

Radius of Curvature at Section 1 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 1 to describe the curvature at any point on surface 1.

Symbol: R₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Curvature at Section 1

Radius of Curvature at Section 2

Radius of Curvature at Section 2 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 2 to describe the curvature at any point on surface 2.

Symbol: R₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curvature at Section 2

Other formulas in Laplace and Surface Pressure category

Go Laplace Pressure of Bubbles or Droplets using Young Laplace Equation

ΔP b = \frac{σ \cdot 2}{R c}

Go Laplace Pressure of Curved Surface using Young-Laplace Equation

ΔP y = σ \cdot ((\frac{1}{R 1}) + (\frac{1}{R 2}))

Go Laplace Pressure

ΔP = P inside - P outside

Go Correction Factor given Surface Tension

f = \frac{m \cdot [g]}{2 \cdot π \cdot r cap \cdot γ}

How to Evaluate Interfacial Tension by Laplace Equation?

Interfacial Tension by Laplace Equation evaluator uses Interfacial Tension = Laplace Pressure-((Radius of Curvature at Section 1*Radius of Curvature at Section 2)/(Radius of Curvature at Section 1+Radius of Curvature at Section 2)) to evaluate the Interfacial Tension, The Interfacial Tension by Laplace Equation formula is defined the force of attraction between the molecules at the interface of two fluids also includes Laplace pressure. At the air–liquid interface, this force is often referred to as surface tension. Interfacial Tension is denoted by σ_i symbol.

How to evaluate Interfacial Tension by Laplace Equation using this online evaluator? To use this online evaluator for Interfacial Tension by Laplace Equation, enter Laplace Pressure (ΔP), Radius of Curvature at Section 1 (R₁) & Radius of Curvature at Section 2 (R₂) and hit the calculate button.

FAQs on Interfacial Tension by Laplace Equation

What is the formula to find Interfacial Tension by Laplace Equation?

The formula of Interfacial Tension by Laplace Equation is expressed as Interfacial Tension = Laplace Pressure-((Radius of Curvature at Section 1*Radius of Curvature at Section 2)/(Radius of Curvature at Section 1+Radius of Curvature at Section 2)). Here is an example- 3.7E+6 = 5-((1.67*8)/(1.67+8)).

How to calculate Interfacial Tension by Laplace Equation?

With Laplace Pressure (ΔP), Radius of Curvature at Section 1 (R₁) & Radius of Curvature at Section 2 (R₂) we can find Interfacial Tension by Laplace Equation using the formula - Interfacial Tension = Laplace Pressure-((Radius of Curvature at Section 1*Radius of Curvature at Section 2)/(Radius of Curvature at Section 1+Radius of Curvature at Section 2)).

Can the Interfacial Tension by Laplace Equation be negative?

No, the Interfacial Tension by Laplace Equation, measured in Moment of Force cannot be negative.

Which unit is used to measure Interfacial Tension by Laplace Equation?

Interfacial Tension by Laplace Equation is usually measured using the Millinewton Meter[mN*m] for Moment of Force. Newton Meter[mN*m], Kilonewton Meter[mN*m], Micronewton Meter[mN*m] are the few other units in which Interfacial Tension by Laplace Equation can be measured.

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Interfacial Tension by Laplace Equation Formula

Interfacial Tension by Laplace Equation Example

Interfacial Tension by Laplace Equation Solution

Interfacial Tension by Laplace Equation Formula Elements

Other formulas in Laplace and Surface Pressure category

How to Evaluate Interfacial Tension by Laplace Equation?

FAQs on Interfacial Tension by Laplace Equation

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