Wave instability characteristics for the entire regime of mixed convection flow along vertical flat plates

Mixed convection flow past a vertical plate: Stability analysis and its direct simulation

“…However, presence of two distinct lobes of the neutral curve for opposing flows for Ri x 0.02, has not been reported before. Lee et al [12] indicated two maxima for the growth rate versus streamwise distance plot, without distinct lobes in the neutral curve-as shown here. According to them, the two maxima are due to the presence of two distinct unstable modes.…”

“…In this figure, we have marked two straight lines originating from the origin and they represent the path taken by constant physical-frequency disturbances, that will be used for direct simulation of Navier-Stokes and energy equations in the next section. When Ri x is increased to 0.02, Re cr further reduces to Re cr1 = 359.5, while β cr1 increases to 0.129-indicating fur- [12] due to buoyancy effects. However, presence of two distinct lobes of the neutral curve for opposing flows for Ri x 0.02, has not been reported before.…”

“…However, experimental studies show the instability to be related to spatial growth of disturbances when the flow is excited by fixed frequency sources. Hence a spatial theory is preferred to study the stability of mixed convection flows, as in Lee et al [12]. They reported results for the buoyancy parameter Ri x = Gr x /Re 2 x in the range between zero and infinity, where Gr x and Re x are the Grashof and Reynolds numbers based on current length.…”

“…They reported results for the buoyancy parameter Ri x = Gr x /Re 2 x in the range between zero and infinity, where Gr x and Re x are the Grashof and Reynolds numbers based on current length. Lee et al [12] and Moresco and Healey [11] have studied mixed convection flow over the entire range of Ri x , but reported two unstable modes of disturbance for natural convection dominated flows only. In the present work, existence of two unstable modes and therefore two loops of neutral curve is established in the forced convection regime.…”

Heat Transfer and Temporal Behavior of the Laminar Mixed-Convection Flow Around a Ducted Flat-Plate Thermal Flow Sensor

“…Heat transfer from horizontal and vertical plates has been studied extensively by numerous authors, including analytically [1], numerically [2][3][4][5], and experimentally [5,6]. This article is concerned with mixed and essentially forced convection from a small vertical at-plate (4´4´0.1 mm) thermal ow sensor con ned in a tube.…”