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The Effect of Non-Uniform Basic Temperature Profile to the Onset of Benard-<br />

Marangoni Convection in Micropolar Dielectric Fluid<br />

Oh Joo Yik<br />

Supervisor: Dr. Ruwaidiah Binti Idris<br />

Bachelor of Science (Computational Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Linear stability theory has been perform to study the effect of non-uniform basic<br />

temperature gradient to onset of Benard-Marangoni convection in horizontal layer of<br />

micropolar dielectric fluids. Three combination boundary conditions will be consider in<br />

this study which is free-free, free-rigid and rigid-rigid for adiabatic and thermal<br />

temperature conduction are considered. The influence of various parameters to the onset<br />

of convection has been analyse using single term Galerkin technique. The possibility of<br />

delaying the onset of convection by the application of a cubic basic state temperature<br />

profile is demonstrated.<br />

998 | UMT UNDERGRADUATE RESEARCH DAY 2018

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