Derivations of the Young-Laplace equation

نویسندگان

چکیده

The classical Young-Laplace equation relates capillary pressure to surface tension and the principal radii of curvature interface between two immiscible fluids. In this paper required properties space curves smooth surfaces are described by differential geometry linear algebra. equilibrium condition is formulated a force balance minimization energy. Cited as: Siqveland, L. M., Skjaeveland, S. M. Derivations equation. Capillarity, 2021, 4(2): 23-30, doi: 10.46690/capi.2021.02.01

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Effectiveness of the Young-Laplace equation at nanoscale

Using molecular dynamics (MD) simulations, a new approach based on the behavior of pressurized water out of a nanopore (1.3-2.7 nm) in a flat plate is developed to calculate the relationship between the water surface curvature and the pressure difference across water surface. It is found that the water surface curvature is inversely proportional to the pressure difference across surface at nano...

متن کامل

Computation of Capillary Surfaces for the Laplace-young Equation

A novel hybrid finite-element/finite-volume numerical method is developed to determine the capillary rise of a liquid with a free surface (under surface tension and gravitational forces). The few known exact analytical solutions are used to verify the numerical computations and establish their accuracy for a range of liquid contact angles. The numerical method is then used to ascertain the limi...

متن کامل

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

15 صفحه اول

The Laplace Equation

Definition 1. Among the most important and ubiquitous of all partial differential equations is Laplace’s Equation: ∆u = 0, where the Laplacian operator ∆ acts on the function u : U → R (U is open in R) by taking the sum of the unmixed partial derivatives. For example: n = 1: ∆u = ∂ 2u ∂x2 = u = 0 In this simple case, the solution u = ax + b is found by integrating twice. n = 2: ∆u = ∂ 2u ∂x1 + ...

متن کامل

Pressurized liquid in nanopores: a modified Laplace-Young equation.

In the current study, we analyze the motion of pressurized water molecules in nanopores of a well-crystallized, hydrophobic zeolite using both experiment and molecular dynamics simulation. It is discovered that, contradictory to the prediction of the classic Laplace-Young equation, the required infiltration pressure is highly dependent on the infiltration volume. A modified Laplace-Young equati...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Capillarity

سال: 2021

ISSN: ['2652-3310', '2709-2119']

DOI: https://doi.org/10.46690/capi.2021.02.01