The dielectrophoretic effect in the cylindrical annuli has been considered.
Numerical investigation of the thermo-electric coupling (TEC) has been performed.
The TEC becomes important in the gaps with radius ratio 4576516305653&_mathId=si0040.gif&_user=111111111&_pii=S0094576516305653&_rdoc=1&_issn=00945765&md5=a005b7ab1dda1d085f2266b447949b7c" title="Click to view the MathML source">η>0.6.
The TEC stabilizes the basic state.
The TEC reduces the heat transfer.