Spectral methods; Bérnard–Marangoni convections; Lateral heating

Numerical solutions are presented for steady two-dimensional motion within a circular cylinder generated by fluid injecting radially over one small arc and ejecting radially over another arc. These solutions are based on a mixed finite-difference pseudospectral method. Previous calculations were able to obtain convergent results only for a range of Reynolds numbers from Re=0 to Re=20. The main object of this study is to extend the Reynolds number range for reliable solution, particularly with regard to the flow patterns, based on a pseudospectral approach.