10B.7. Forced-convection heat transfer in flow between parallel plates (Fig. 10B.7). A viscous fluid with temperature-independent physical properties is in fully developed laminar flow be tween two flat surfaces placed a distance 2B apart. For z 0 heat is added at a constant, uniform flux q, 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 T(x, z). Then discard the viscous dissipation term and the axial heat conduction term. 90 90 Heating element Heating element Fig. 103.7. Laminar, incompressible flow between parallel plates, both of which are being heated by a uniform wall heat flux go starting at z = 0. - 2 = 0 v(x) 1 Direction of flow Fully developed slit flow at z = 0; inlet temperature is T X=-B x=+B (10B.7-1,2,3) (b) Recast the problem in terms of the dimensionless quantities T-T kz B PUxmax B2 (c) Obtain the asymptotic solution for large z: 0(0,5) = 5 +02 34 %B/k 39 280 (10B.7-4)