Dissipation of Energy in a Compressible Nematic Microvolume Under Effect of a Temperature Gradient
We have carried out a numerical study of hydrodynamic processes in the hybrid-aligned channel of a compressible liquid crystal (HACLC) under the effect of a temperature gradient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><sema...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-02-01
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| Series: | Crystals |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4352/15/3/235 |
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| Summary: | We have carried out a numerical study of hydrodynamic processes in the hybrid-aligned channel of a compressible liquid crystal (HACLC) under the effect of a temperature gradient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>∇</mo><mi>T</mi></mrow></semantics></math></inline-formula> applied across a liquid crystal film. Calculations based on the classical Leslie–Ericksen theory showed that under the effect of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>∇</mo><mi>T</mi></mrow></semantics></math></inline-formula>, the HACLC sample settles down to a stationary flow regime with both horizontal <i>u</i> and vertical <i>w</i> components of velocity <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">v</mi></semantics></math></inline-formula>, and the direction and magnitude of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">v</mi></semantics></math></inline-formula> are strongly effected by the direction of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>∇</mo><mi>T</mi></mrow></semantics></math></inline-formula>. Calculations also showed that the relaxation of the stress tensor components <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mi>ij</mi></msub><mrow><mo>(</mo><mi>z</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow><mspace width="3.33333pt"></mspace><mrow><mo>(</mo><mi mathvariant="normal">i</mi><mo>,</mo><mi mathvariant="normal">j</mi><mo>=</mo><mi mathvariant="normal">x</mi><mo>,</mo><mi mathvariant="normal">z</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> in the hybrid-aligned compressible nematic microvolume is determined by the direction and magnitude of the thermomechanical force. |
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| ISSN: | 2073-4352 |