hw5asol-dist

# hw5asol-dist - CBE 320 Transport Phenomena Solutions...

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CBE 320 September 28, 2009 Transport Phenomena Problem Session V Part A: Equations of Change 1. Electroosmosis. Electroosmosis is the ﬂow driven by an electric feld acting on charges within a ﬂuid. You will analyze such a ﬂow in this problem. A ﬂuid is contained in a slit Formed by a plastic and a glass surFace, as illustrated in the fgure below. The glass naturally attains a negative charge, creating positive charges within the ﬂuid very near the glass surFace. x h L P 0 P 0 z f (x) z v (x) z + + + - - -------------- + + + + + glass plastic g When an electric feld is applied in the z direction, an electric Force acts on the positive charges— and thus the ﬂuid—in the positive z direction. ±or this setup, the Force per unit volume oF the ﬂuid (a vector) is given by f = A exp ( κx ) δ z , (1) where A is a known constant, and κ is another known constant that characterizes how rapidly the Force diminishes with increasing distance away From the glass surFace. In this problem it is reasonable

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hw5asol-dist - CBE 320 Transport Phenomena Solutions...

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