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High Schmidt number natural convection boundary layers with blowing
We investigate the effects of uniform wall-normal velocity ($V_b$) on high Schmidt number ($Sc$>600) indirect natural convection boundary layers. The study is limited for the negligible inertial effects ($Re = V_b\delta_v/n$) and negligible diffusive mass transfer in $\delta_d$. Using integral boundary layer equations, we define a non-dimensional blowing parameter, $S = (Re_L^5/ Gr_L)^{1/8}$ to quantify the strength of normal blowing relative to buoyancy and viscous effects. The analysis is conducted for $0.1<S<0.26$. Blowing increases the velocity boundary layer thickness ($\delta_v$), the species boundary layer thickness ($\delta_d$), the horizontal velocity (u) and the wall shear stress ($\tau_w$). We show that $\delta_d/x = 1.59(Re_x/Gr_x)^{1/4}$ and $u(\eta,x)/V_b = u(\eta) (Gr_x/Re_x)^{1/4}$. Unlike in shear boundary layers, $t_w$ increases with increase in blowing parameter and the coefficient of drag, $C_D$ scales as $2.4/Re_L$. The concentration in the species boundary layer averaged over half of the mean plume spacing, $\lambda/2$ has a quadratic dependence on the vertical coordinate.
Journal | IISc Centenary – International Conference on Advances in Mechanical Engineering (IC-ICAME) |
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Publisher | IISc Bangalore |
Open Access | No |