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The equation is named after Edward Wight Washburn; [1] also known as Lucas–Washburn equation, considering that Richard Lucas [2] wrote a similar paper three years earlier, or the Bell-Cameron-Lucas-Washburn equation, considering J.M. Bell and F.K. Cameron's discovery of the form of the equation in 1906. [3]
A force balance equation known as Washburn's equation for the above material having cylindrical pores is given as: [1] ... Commons Attribution-ShareAlike 4.0 ...
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).
In the Lucas–Washburn model, the inertia of the fluid is ignored, leading to the assumption that flow is continuous under constant viscous laminar Poiseuille flow conditions without considering the effects of mass transport undergoing acceleration occurring at the start of flow and at points of changing internal capillary geometry.
Washburn was born in Beatrice, Nebraska, in the family of William Gilmor Washburn, a lumber and brick merchant. Having taken all the chemistry courses available at the University of Nebraska (1899–1900) while teaching high school students (1899–1901), he entered the Massachusetts Institute of Technology in 1901, receiving a B.S. in ...
The rise in core (RIC) method is an alternate reservoir wettability characterization method described by S. Ghedan and C. H. Canbaz in 2014. The method enables estimation of all wetting regions such as strongly water wet, intermediate water, oil wet and strongly oil wet regions in relatively quick and accurate measurements in terms of Contact angle rather than wettability index.
Vacuum permittivity, commonly denoted ε 0 (pronounced "epsilon nought" or "epsilon zero"), is the value of the absolute dielectric permittivity of classical vacuum.It may also be referred to as the permittivity of free space, the electric constant, or the distributed capacitance of the vacuum.
Following the model of the Lucas–Lehmer test, put u i = a 2 i + a −2 i, and by induction we have u i = u 2 i−1 − 2. So we can consider ourselves as looking at the 2 i th term of the sequence v(i) = a i + a i. If a satisfies a quadratic equation, then this is a Lucas sequence, and has an expression of the form v(i) = α v(i−1) + β v(i ...