The analysis of the onset of Soret‐driven convection in nanoparticles suspension

Onset of marangoni convection in an initially quiescent spherical droplet subjected to the transient heat conduction

“…The resulting stability criteria have compared well with experimental data in Rayleigh-Bénard-Marangoni convection [10,11,18,19]. Also, a similar approach is found to be successful in cases of Soret-driven convection [20,21] and onset of Taylor-Görtler vortices [22][23][24]. Hence, the stability analysis based on this theory is extended to the above problem on the onset of Marangoni convection in evaporating liquid layers and its validity is discussed in comparison with extant experimental and theoretical results.…”

Onset of solutal convection in liquid phase epitaxy system

“…This means that the fastest growing mode of instabilities, which sets in at t=t c , will grow with time until manifest convection is near the whole bottom boundary detected at t 4t c . This relation is kept for the various transient diffusive systems [10][11][12][13]. It seems evident that convective motion is very weak during t c ≤t≤t o since the related heat transport is well represented by the conduction state.…”

“…For a given Sc and the Ra, the critical time τ c should be found by using Eqs. (10)- (12). Detailed procedure to derive Eqs.…”

“…The proper boundary conditions are given by (12) wherein the condition of no-slip and constant concentration are applied to the two rigid boundaries. For a given Sc and the Ra, the critical time τ c should be found by using Eqs.…”

“…In the present study, the onset of solutal convection in LPE processes is analyzed theoretically by using propagation theory which has been applied to various systems [8][9][10][11][12][13]. This model rescaled all the variables and parameters having the length scale by using penetration depth and transformed the disturbance equations similarly.…”