Forced-convection heat transfer in flow between parallel plates (Fig. 10B.7). A viscous fl uid with temperature-independent physical properties is in fully developed laminar flow be- tween two flat surfaces placed a distance 2B apart. For 20 the fluid temperature is uniform at both walls. Find the temper- ature distribution T(x, z) for large z. (a) Make a shell energy balance to obtain the differential equation for Tx, 2). Then discard the viscous dissipation term and the axial heat conduction term. Steel plate 2500°F 100°F Fig. 10B.6. A composite furnace wall. Fig. 10B.7. Laminar, incom between parallel plates, both of whi. being heated by a uniform wall hea starting at z 0. mpressible v,(x) Direction of flow Fully developed slit flow at z-0; inlet temperature is T x =-B r-+B
(b) Recast the problem in terms of the dimensionless quantities kz (10B3
(c) Obtain the asymptotic solution for large z: