Interfacial Tension by Laplace Equation Calculator

✖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.ⓘ Laplace Pressure [ΔP]			+10% -10%
✖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.ⓘ Radius of Curvature at Section 1 [R₁]			+10% -10%
✖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.ⓘ Radius of Curvature at Section 2 [R₂]			+10% -10%

✖Interfacial Tension is the force of attraction between the molecules at the interface of two fluids.ⓘ Interfacial Tension by Laplace Equation [σ_i]

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Interfacial Tension by Laplace Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
σ_i = ΔP-((R₁*R₂)/(R₁+R₂))
This formula uses 4 Variables

Variables Used

Interfacial Tension - (Measured in Newton Meter) - Interfacial Tension is the force of attraction between the molecules at the interface of two fluids.
Laplace Pressure - (Measured in Pascal) - 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.
Radius of Curvature at Section 1 - (Measured in Meter) - 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.
Radius of Curvature at Section 2 - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Laplace Pressure: 5 Pascal --> 5 Pascal No Conversion Required
Radius of Curvature at Section 1: 1.67 Meter --> 1.67 Meter No Conversion Required
Radius of Curvature at Section 2: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_i = ΔP-((R₁*R₂)/(R₁+R₂)) --> 5-((1.67*8)/(1.67+8))

Evaluating ... ...

σ_i = 3.61840744570838

STEP 3: Convert Result to Output's Unit

3.61840744570838 Newton Meter -->3618.40744570838 Millinewton Meter (Check conversion here)

FINAL ANSWER

3618.40744570838 ≈ 3618.407 Millinewton Meter <-- Interfacial Tension

(Calculation completed in 00.004 seconds)

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Created by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

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< Laplace and Surface Pressure Calculators

Interfacial Tension by Laplace Equation

LaTeX Go 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))

Laplace Pressure of Curved Surface using Young-Laplace Equation

LaTeX Go Laplace Pressure given Young Laplace = Surface Tension*((1/Radius of Curvature at Section 1)+(1/Radius of Curvature at Section 2))

Laplace Pressure

LaTeX Go Laplace Pressure = Pressure inside of Curved Surface-Pressure Outside of Curved Surface

Laplace Pressure of Bubbles or Droplets using Young Laplace Equation

LaTeX Go Laplace Pressure of Bubble = (Surface Tension*2)/Radius of Curvature

Interfacial Tension by Laplace Equation Formula

LaTeX Go

What is Laplace equation?

Laplace's equation, second-order partial differential equation widely useful in physics because its solutions R (known as harmonic functions) occur in problems of electrical, magnetic, and gravitational potentials, of steady-state temperatures, and of hydrodynamics.

How to Calculate Interfacial Tension by Laplace Equation?

Interfacial Tension by Laplace Equation calculator 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 calculate 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 calculate Interfacial Tension by Laplace Equation using this online calculator? To use this online calculator 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. Here is how the Interfacial Tension by Laplace Equation calculation can be explained with given input values -> 3.7E+6 = 5-((1.67*8)/(1.67+8)).

FAQ

What is Interfacial Tension by Laplace Equation?

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 and is represented as σ_i = ΔP-((R₁*R₂)/(R₁+R₂)) or 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)). 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, 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 & 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.

How to calculate Interfacial Tension by Laplace Equation?

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 is calculated using 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 calculate Interfacial Tension by Laplace Equation, you need Laplace Pressure (ΔP), Radius of Curvature at Section 1 (R₁) & Radius of Curvature at Section 2 (R₂). With our tool, you need to enter the respective value for Laplace Pressure, Radius of Curvature at Section 1 & Radius of Curvature at Section 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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