Laplace pressure

E528107

physical quantity surface-tension-related phenomenon thermodynamic concept

Laplace pressure is the pressure difference across a curved interface, such as a bubble or droplet surface, arising from surface tension and the interface’s curvature.

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All labels observed (2)

Label	Occurrences
Laplace pressure canonical	1
Young–Laplace equation	1

How this entity was disambiguated

This entity first appeared as the object of triple T5538005 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Laplace pressure
Context triple: [Tolman length, relatedTo, Laplace pressure]

A. Pascal's law
Pascal's law is a fundamental principle of fluid mechanics stating that pressure applied to an enclosed fluid is transmitted undiminished in all directions throughout the fluid and to the walls of its container.
B. Laplace equation
The Laplace equation is a fundamental second-order partial differential equation widely used in physics and engineering to describe steady-state phenomena such as electrostatics, gravitation, and heat conduction.
C. Clausius–Clapeyron relation
The Clausius–Clapeyron relation is a fundamental thermodynamic equation that describes how the pressure and temperature of a phase transition, such as boiling or condensation, are related.
D. Kapitza resistance
Kapitza resistance is the thermal boundary resistance that occurs at the interface between a solid and liquid helium, causing a temperature discontinuity when heat flows across the boundary.
E. Saffman–Taylor instability
The Saffman–Taylor instability is a fluid dynamics phenomenon in which a less viscous fluid penetrating a more viscous one in a confined geometry leads to finger-like interfacial patterns, often called viscous fingering.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Laplace pressure
Target entity description: Laplace pressure is the pressure difference across a curved interface, such as a bubble or droplet surface, arising from surface tension and the interface’s curvature.

A. Pascal's law
Pascal's law is a fundamental principle of fluid mechanics stating that pressure applied to an enclosed fluid is transmitted undiminished in all directions throughout the fluid and to the walls of its container.
B. Laplace equation
The Laplace equation is a fundamental second-order partial differential equation widely used in physics and engineering to describe steady-state phenomena such as electrostatics, gravitation, and heat conduction.
C. Clausius–Clapeyron relation
The Clausius–Clapeyron relation is a fundamental thermodynamic equation that describes how the pressure and temperature of a phase transition, such as boiling or condensation, are related.
D. Kapitza resistance
Kapitza resistance is the thermal boundary resistance that occurs at the interface between a solid and liquid helium, causing a temperature discontinuity when heat flows across the boundary.
E. Saffman–Taylor instability
The Saffman–Taylor instability is a fluid dynamics phenomenon in which a less viscous fluid penetrating a more viscous one in a confined geometry leads to finger-like interfacial patterns, often called viscous fingering.
F. None of above. chosen

Statements (49)

Predicate	Object
instanceOf	physical quantity ⓘ surface-tension-related phenomenon ⓘ thermodynamic concept ⓘ
alsoKnownAs	capillary pressure ⓘ
appliesTo	quasi-static interfaces ⓘ static interfaces ⓘ
assumes	mechanical equilibrium across the interface ⓘ
dependsOn	curvature of the interface ⓘ surface tension ⓘ
governs	pressure inside bubbles ⓘ pressure inside capillaries ⓘ pressure inside droplets ⓘ
hasDefinition	pressure difference across a curved interface arising from surface tension and curvature ⓘ
hasFormula	ΔP = 2γ/R for a spherical interface ⓘ ΔP = γ (1/R1 + 1/R2) ⓘ
hasSymbol	ΔP ⓘ
hasUnit	N/m² ⓘ pascal ⓘ
increasesWith	increasing curvature magnitude ⓘ increasing surface tension ⓘ
isDescribedBy	Young–Laplace equation ⓘ linked to: Laplace pressure
isHigherIn	smaller bubbles ⓘ smaller droplets ⓘ
isInverselyProportionalTo	radius of curvature for spherical interfaces ⓘ
isNamedAfter	Pierre-Simon Laplace ⓘ
isProportionalTo	mean curvature of the interface ⓘ surface tension γ ⓘ
isRelevantTo	aerosol physics ⓘ biological membranes curvature ⓘ blood capillary menisci ⓘ boiling ⓘ capillary rise ⓘ cavitation ⓘ cloud droplet formation ⓘ droplet microreactors ⓘ emulsion stability ⓘ foam stability ⓘ inkjet printing ⓘ lung alveoli mechanics ⓘ microfluidics ⓘ nucleation of bubbles ⓘ nucleation of droplets ⓘ porous media flow ⓘ soap bubbles ⓘ stability of liquid films ⓘ wetting phenomena ⓘ
occursAt	liquid–gas interface ⓘ liquid–liquid interface ⓘ solid–liquid interface ⓘ