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Convective and absolute instabilities in non-Boussinesq mixed convection

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Figure

Fig. 1 Level curves of σ R (solid) and the steepest descent (dashed) and ascent (dash-dotted) paths through the saddle point for� Re� Gr ε���� 2000� 407705� 0� 005�
Fig. 2 Basic flow velocity (a) and temperature (b) profi les for linear (solid line, Gr�115645) and absolute (dashed line,Gr�407705) instability boundaries in Boussinesq mixed convection at� Re ��� 2000� 0� 005� .
Fig. 3 (a) Linear (solid line) and absolute (dashed line) instability boundaries; (b) disturbance group speeds along the linearinstability boundary; (f) disturbance oscillation frequencies observed in the frame moving with the group speed for the linear andabsolute instability boundaries (solid and dash-dotted lines, respectively) and at a stationary location (solid line) for Boussinesqmixed convection atline) and location of the corresponding saddle point (dashed lines); (e) maximum linear amplifi cation rate along the absolute(solid line) and absolute (dashed line) instability boundaries; (c-d) wavenumber of the linear least stable disturbance mode (solid ε�0� 005.
Fig. 4 Re 2000aries in weakly non-Boussinesq mixed convection at Basic flow velocity (a) and temperature (b) profi les for linear (solid lines) and absolute (dashed lines) instability bound-� � 0 3
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