A nonlinear analysis of thermal instabilities in nematic liquid crystals

DOI10.1515/jnet.1984.9.2.107zbMath0596.76054OpenAlexW2074278780MaRDI QIDQ1079062

D. A. Hodson, P. J. Barratt, David M. Sloan

Publication date: 1984

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1984.9.2.107

zbMATH Keywords

Boussinesq approximationbifurcationnonlinear analysisChebyshev collocationequilibrium statesolvability conditionhomeotropic probleminfinite set of linear inhomogeneous problemslinear homogeneous eigenvalue problemlinear theory predictionperturbative expansion methodstrong anchoring' boundary conditionsthermal convective instabilitiesthin layers of nematic liquid crystaltwo large, horizontal, flat platestwo-dimensional, stationary solutionsvertical thermal gradient

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Absolute and convective instability and stability in hydrodynamic stability (76E15)

Related Items

The calculation of eigenvalues for the stationary perturbation of symmetrical pipe Poiseuille flow, An analysis of oscillatory convection in homeotropic nematics, A nonlinear analysis of thermal instabilities in homeotropic nematics, The effect of non-uniform temperature gradients on thermal instabilities in nematic liquid crystals

Cites Work

• Some constitutive equations for liquid crystals
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• Accurate solution of the Orr–Sommerfeld stability equation
• An Algorithm for Generalized Matrix Eigenvalue Problems