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Article #54Re: Question on Young's Equation
From: Umberto D'Ortona
Date: Mon, 12 Oct 1992 09:37
Date: Mon, 12 Oct 1992 09:37
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2236 bytes
In article <Bvpu7q.1t4@unx.sas.com>, sasrbk@banana.unx.sas.com (Bart Killam) writes: |> [...] |> Young's Equation |> cos(theta)= (sigma_s_a - sigma_s_w)/sigma_a_w |> |> where |> |> theta = the connecting angle |> |> sigma_s_a = interfacial energy between the solid-air |> (the energy required to separate a unit |> area of air-solid interface) |> |> sigma_s_w = interfacial energy between the solid-water |> |> sigma_a_w = interfacial energy between the air-water |> |> Suppose (using J/m**2 or any convenient units) |> |> sigma_s_a = 1, sigma_s_w = 2 , sigma_a_w = 1 |> |> Since it take twice the amount of energy to peel |> a unit area of solid-water apart compared to |> solid-air, or air-solid, it would seem that the |> system would seek to minimize its energy by |> spreading the water over the entire surface |> (theta-0). However, these values give theta=180, No I don't agree with you. If sigma_s_w equal 2, this mean that the solid-water interface is a high energy interface (at least higher energy than the two others) and if the system want to minimize his energy, it want to have a solid-water interface as short as possible. So the contact angle will be 180 degree (0 lenght water-solid interface) |> where the water is only touching at a single |> point. This seems a much higher energy state. |> |> What is wrong with my reasoning. Thank you |> for any help on this. |> |> --- Bart Killam, SAS Institute Inc. Hope it will help -- Umberto D'Ortona (umberto@aomc.jussieu.fr) Labo. AOMC Universite P. et M. Curie 4 Pl Jussieu 75252 Paris Cedex 5 FRANCE Tel: 33 1 44274529 Fax: 33 1 44273854
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!corton!jussieu!umberto From: umberto@aomc.jussieu.fr (Umberto D'Ortona) Newsgroups: sci.geo.fluids Subject: Re: Question on Young's Equation Keywords: interfacial tension, wetting, nonwetting Message-ID: <1992Oct12.093701.27977@jussieu.fr> Date: 12 Oct 92 09:37:01 GMT References: <Bvpu7q.1t4@unx.sas.com> Sender: news@jussieu.fr (Le Facteur) Organization: AOMC, Universite Pierre et Marie Curie, Paris, France Lines: 50 Nntp-Posting-Host: magritte.aomc.jussieu.fr