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Effect of static magnetic field on the helical flow of incompressible cholesteric liquid crystal between two coxial circular cylinders having rotational and axial velocities

Published online by Cambridge University Press:  17 February 2009

G. Paria  and
A. K. Sharma
G. Paria
Affiliation:
Department of Applied Mathematics, Shri Govindram Seksaria Institute of Technology and Science, Indore (M.P.), India.
A. K. Sharma
Affiliation:
Department of Applied Mathematics, Shri Govindram Seksaria Institute of Technology and Science, Indore (M.P.), India.
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Abstract

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The paper investigates the effect of a static magnetic field on the helical flow of an incompressible cholestenc liquid crystal with director of unit magnitude between two coaxial circular cylinders rotating with different angular velocities about their common axis and moving with different axial velocities. At low shear rates with a weak magnetic field in the axial direction, the axial velocity, the angular velocity and the orientation of molecules between the two cylinders have been obtained. It is found that the magnetic field has influenced the orientation of molecules while the axial velocity and the angular velocity remain uneffected by the magnetic field.

Type
Research Article
Information
The ANZIAM Journal , Volume 19 , Issue 3 , June 1976 , pp. 371 - 380
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Leslie, F. M., ‘Some thermal effects in cholestric liquid crystals’, Proc. Roy. Soc. A 307 (1968), 359–372.Google Scholar
[2]Frank, F. C., ‘On the theory of liquid crystals’, Discussions Faraday Society, 25 (1958), 19–28.CrossRefGoogle Scholar
[3]Leslie, F. M., ‘Continuum theory of cholesteric liquid crystals’, Mol. Cryst. and Liq. Cryst., 7 (1969), 407–420.CrossRefGoogle Scholar
[4]Sharma, A. K., ‘Helical flow of incompressible cholesteric liquid crystal between two coaxial circular cylinders having rotational and axial velocities’, (to appear).Google Scholar
[5]Leslie, F. M., ‘Distortion of twisted orientation patterns in liquid crystals by Magnetic fields’, Mol. Cryst. and Liq. Cryst., 12 (1970), 57–72.CrossRefGoogle Scholar