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Stability of plane Poiseuille-Couette flows of a piezo-viscous fluid

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Figure

Fig. 1. Disturbance temporal amplification rates σmodes as a function of wavenumberR for four leading instability β at points A–D in Figure 4 for C0 = −10−2and E0 = 1.
Fig. 2. (a) The critical Reynolds number Re∗, (b) wavenumber β and (c) scaledwavespeed 4αc/|C0| as functions of the scaled boundary velocity 4αV/|C0| forE0 = 1 and C0 = −10−4 (dash-dotted lines) and C0 = −10−2 (NF—solid lines,PVF—dashed lines)
Fig. 3. (a) The critical Reynolds number Re∗, (b) wavenumber β and (c) scaledwavespeed 4αc/|C0| for plane Poiseuille flow (V = 0) as functions of the pressuregradient parameter C0 for E0 = 1 (solid lines) and E0 = 0.5 (dashed lines)
Fig. 4. (a) The critical Reynolds number Re∗, (b) wavenumber β and (c) scaledwavespeed 4αc/|C0| as functions of the scaled boundary velocity 4αV/|C0| forC0 = −10−4 (solid and dashed lines), C0 = −10−2 (dash-dotted and dotted lines)and E0 = 1 (solid and das
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