Laplaces Equation In subject area: Mathematics The Laplace's equation translates the relation existing between the pressure PC which one must apply so that the fluid penetrates in a capillary of radius R. The capillary pressure is the difference in pressure through a surface separating two non-mis...
The equation provides an expression of pressure jumps across interfaces and determines the geometry of the interface. In addition, the force balance equation at a capillary point or line singularity containing a nematic surface defect is also derived from first principles. It is shown that the ...
Young-LaplaceequationInphysics,theYoung–Laplaceequationisanonlinearpartialdifferentialequationthatdescribesthecapillarypressuredifferencesustainedacrosstheinterfacebetweentwostaticfluids,suchaswaterandair,duetothephenomenonofsurfacetensionorwalltension,althoughusageonthelatterisonlyapplicableifassumingthatthewallisverythin.The...
Young-Laplace equation In physics, the Young–Laplace equation is a nonlinear partial differential equation that describes the capillary pressuredifference sustained across the interface between two static fluids, such as water and air, due to the phenomenon of surface tension or wall tension, ...
It is also reported that the surface tension of water decreases with the temperature12,13 and slightly increases with the electrolyte ion concentration (e.g., 74.0 mN/m for 1.0 M KCl14). Currently, the Y-L equation is also widely used to describe the capillary pressure when the ...
The phase equilibrium calculation model and application examples considered capillary pressure is showed at the end of this paper. 展开 关键词: Young-Laplace equation thermodynamics interfacial energy potential energy phase equilibrium 被引量: 3
This letter uses the classical theories of liquid crystal physics to derive the Young–Laplace equation of capillary hydrostatics for interfaces between viscous isotropic (I) fluids and nematic liquid crystals (NLC's), and establishes the existence of four energy contributions to pressure jumps across...
This study introduces a Laplace pressure‐driven flow method that is accurately controlled and does not interfere with interfacial dynamics. Here, we first confirmed the applicability of the Young–Laplace equation for droplet radii ranging from 1 to 10nm. Following that, a steady‐state liquid flow...
We establish the uniqueness of fundamental solutions to the p-Laplacian equationu= div (|Du|Du), p > 2,defined for x R, 0 < t < T. We derive fro... S Kamin,JL Vázquez - 《Revista Matematica Iberoamericana》 被引量: 185发表: 1988年 Experimental validation of plugging during drop fo...
OurYoung-Laplace equation calculatorwill help you solve theYoung-Laplace equationfor a liquid in a column and determine itscapillary pressureandheight. You will never have difficulty solving the Laplace equation again! Capillary pressure can act as a driving force to transport liquid in a thin tube...