# Steady electro-osmotic flow of a micropolar fluid in a microchannel

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### "Steady electro-osmotic flow of a mi..." refers background in this paper

...10K3 V, which is about the upper limit for the Debye–Hückel approximation to be valid at approximately room temperature (Hunter 1988, p. 25; Li 2004, p. 19), but some results are also presented for higher magnitudes of jo in order to transcend the limitations of the Debye–Hückel approximation....

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### "Steady electro-osmotic flow of a mi..." refers background or methods in this paper

...The boundary conditions on u(y) and j(y) are uðG1ÞZ 0 and jðG1ÞZ 1: ð2:19Þ In addition, the condition jð0ÞZ 0 ð2:20Þ is engendered by the assumption h[lD (Probstein 1989, p. 187)....

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...…Sciences, Bahauddin Zakariya versity, Multan 60800, Pakistan (abidzero0@yahoo.co.uk). eived 2 September 2008 epted 30 September 2008 501 This journal is q 2008 The Royal Society the injection of detoxifying agents and the control of leakage at toxic-waste sites (Probstein 1989, p. 191; Keane 2003)....

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...On setting cZ0, we get k1Zk2Zk4Z0, which implies from equation (3.15) that N(y)h0; simultaneously, from equation (3.17), we recover uðyÞZ 1KcoshðmoyÞ=coshðmoÞ ð3:18Þ for a simple Newtonian fluid (Probstein 1989)....

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...…) Micropolar Helmholtz–Smoluchowski equation and velocity As the counterparts of the Helmholtz–Smoluchowski equation and the Helmholtz–Smoluchowski velocity for simple Newtonian fluids (Probstein 1989, p. 192) are not available for steady flows of micropolar fluids, let us derive both in this…...

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...Setting cZ0 in equations (2.8) and (3.6), we revert to the Helmholtz–Smoluchowski velocity and equation, respectively, for simple Newtonian fluids (Probstein 1989, p. 192)....

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### "Steady electro-osmotic flow of a mi..." refers background in this paper

...As the magnitude of the velocity gradient must be large near the walls owing to the no-slip boundary condition (2.19)1 (Currie 1974, p. 276), and because figure 3 indicates that the velocity gradient does have maximum magnitude at the walls, it is not surprising that the maximum value of js012ðyÞj…...

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