Abstract
Flow of a thermomicropolar nematic liquid crystal in an isotropic elastic tube with a stenosis is analyzed in this paper. Balance laws, the constitutive equations, and the energy equation, appropriate to nematic liquid crystals as well as the equations of motion for the elastic tube are presented. The mathematical analysis consists in taking a finite Hankel transform on the radial coordinate and Laplace transform on the time variable. The velocity and the microgyration velocity fields in the transform space are found to depend on the microrotation field. The governing equation for the microrotation gradient in the transform space is found to be a convolution type Volterra integrodifferential equation which is approximately solved with short-time-range approximation. Explicit analytical solutions for velocity, microgyration velocity, microrotation and temperature fields are obtained upon carrying out the inverse transforms. Solutions for large times are obtained as well.
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