Mixed Convection

Abstract

Since we have dealt with natural convection and forced convection in some detail, our treatment of mixed convection can be brief. It is guided by the review paper by Lai, Prasad, and Kulacki (1991). We start with a treatment of boundary layer flow on heated plane walls inclined at some nonzero angle to the horizontal. This configuration is illustrated in Fig. 8.1. The boundary layer equations [compare Eqs. (5.5) and (5.6)] for steady flow are

$$ \frac{{{\partial ^2}\psi }}{{\partial {y^2}}} = \pm \frac{{{g_x}\beta K}}{v}\frac{{\partial T}}{{\partial v}} $$

((8.1))

,

$$ \frac{{\partial \psi }}{{\partial y}}\frac{{\partial T}}{{\partial x}} - \frac{{\partial \psi }}{{\partial x}}\frac{{\partial T}}{{\partial y}} = \frac{\partial }{{\partial y}}\left( {{\alpha _m}\frac{{\partial T}}{{\partial y}}} \right) $$

((8.2))

.