Thermal interaction between natural convection on one side of a vertical wall and forced convection on the other side

An analysis is made for the conjugate heat transfer problem of natural conv ection on one side of a vertical wall and forced convection on the other si de. The natural convection mode is treated analytically by employing the Os een linearization approach developed by Gill. The forced convection boundar y layer is analyzed on the basis of the integral technique. The two solutio ns are matched on the separating wall so as to satisfy the continuity of he at flux between the two fluids. The analysis shows that the complexion of t his two-fluid problem is governed by a dimensionless conjugate parameter, R , which relates the heat transfer effectiveness of forced convection mode t o that of free convection mode. The boundary conditions at the wall are not prescribed in the analysis in advance, rather, determined among the result s. The heat transfer and flow characteristics in the two counter-flowing bo undary layers are presented graphically. Heat transfer results of engineeri ng importance are determined as a function of the conjugation parameter.