RT Journal Article ID 0ff81a236607e50c A1 Liu, Chan A1 Ni, Ming-Jiu A1 Zhang, Nian-Mei T1 LINEAR STABILITY ANALYSIS OF POISEUILLE−RAYLEIGH−BENARD FLOW AFFECTED BY A VERTICAL MAGNETIC FIELD AND A TEMPERATURE FIELD JF Heat Transfer Research JO HTR YR 2016 FD 2016-02-10 VO 47 IS 3 SP 277 OP 293 K1 linear stability K1 MHD flow K1 Poiseuille-Rayleigh-Benard flow AB The temporal instability of the Poiseuille−Rayleigh−Benard flow subjected to a vertical magnetic field has been investigated by a Chebyshev collocation method. The magnetic field and the temperature gradient are two main factors that affect the stabilities. The magnetic field strongly stabilizes the two- and three-dimensional perturbations in basic flow. When heated from below, the buoyancy driven by a temperature gradient destabilizes the flow. For three-dimensional perturbations, the effects of spanwise disturbance on the instability are investigated. With a small temperature gradient, the increase of the oblique angle γ leads to larger critical Reynolds numbers; but with a great temperature gradient, the increase of γ results in smaller critical Rayleigh numbers. When affected by a weak magnetic field, two-dimensional disturbances are more unstable. Meanwhile, for a moderate or strong magnetic field, three-dimensional disturbances can cause the instability at a smaller Reynolds number than two-dimensional ones. PB Begell House LK https://www.dl.begellhouse.com/journals/46784ef93dddff27,5b3a89a460f279bf,0ff81a236607e50c.html