Use of the WKB method to investigate connective heat transfer in a micropolar fluid

A general approximate solution is obtained for problems of heat transfer associated with a flow of micropolar fluid in a plane channel with boundary conditions of the first and second kind and its accuracy is determined.Notation T_o and T_w temperatures of entrance section and wall of channel, respectively - dp/dx pressure gradient - x₁, x₂ longitudinal and transverse coordinates, respectively (or x and y) - Pe=2v _m ^N h/a Peclet number - v _m ^N mean velocity of Newtonian fluid with viscosity +/2 in channel of width 2h - boundary condition parameter - 2h width of channel - v_x and v_z nonzero components of velocity and microrotation of micropolar fluid - a and thermal diffusivity and thermal conductivity of fluid - , , and viscosities of micropolar fluid - q_w heat flux density on wall - _n and Y_n(y) eigenvalues and eigenfunctions of Sturm-Liouville problem - C_n constants that can be determined by using orthogonality of eigenfunctions Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 4, pp. 732–738, October, 1980.