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Powder wettability measurement with the Washburn method. In its most general form the Lucas Washburn equation describes the penetration length ( L {\displaystyle L} ) of a liquid into a capillary pore or tube with time t {\displaystyle t} as L = ( D t ) 1 2 {\displaystyle L=(Dt)^{\frac {1}{2}}} , where D {\displaystyle D} is a simplified ...
A force balance equation known as Washburn's equation for the above material having cylindrical pores is given as: [1] ...
Cloth, treated to be hydrophobic, shows a high contact angle. The theoretical description of contact angle arises from the consideration of a thermodynamic equilibrium between the three phases: the liquid phase (L), the solid phase (S), and the gas or vapor phase (G) (which could be a mixture of ambient atmosphere and an equilibrium concentration of the liquid vapor).
For the condition of short time this shows a meniscus front position proportional to time rather than the Lucas-Washburn square root of time, and the independence of viscosity demonstrates plug flow. As time increases after the initial time of acceleration, the equation decays to the familiar Lucas-Washburn form dependent on viscosity and the ...
Leonard–Merritt formula: Astrophysics: Peter Leonard and David Merritt: Levy–Mises equations: Solid mechanics: Paul Lévy and Richard von Mises: Liénard equation: Dynamical systems: Alfred-Marie Liénard: Lighthill equation: Aeroacoustics: James Lighthill: Lindblad equation: Quantum mechanics: G. Lindblad: Lin–Tsien equation: PDE: Lin ...
Vincenty suggested a method of accelerating the convergence in such cases (Rapp, 1993). An example of a failure of the inverse method to converge is (Φ 1, L 1) = (0°, 0°) and (Φ 2, L 2) = (0.5°, 179.7°) for the WGS84 ellipsoid. In an unpublished report, Vincenty (1975b) gave an alternative iterative scheme to handle such cases.
Disc integration, also known in integral calculus as the disc method, is a method for calculating the volume of a solid of revolution of a solid-state material when integrating along an axis "parallel" to the axis of revolution. This method models the resulting three-dimensional shape as a stack of an infinite number of discs of varying radius ...
In order to increase the calculation speed for viscosity calculations based on CS theory, which is important in e.g. compositional reservoir simulations, while keeping the accuracy of the CS method, Pedersen et al. (1984, 1987, 1989) [17] [18] [2] proposed a CS method that uses a simple (or conventional) CS formula when calculating the reduced ...