Describe the thermal and velocity boundary layers in convection and their relationship.
Answer
The velocity boundary layer is the region where fluid velocity increases from zero at the wall to 99% of free-stream velocity. The thermal boundary layer is where temperature changes from wall temperature to 99% of free-stream temperature. Their relative thickness depends on Prandtl number: for Pr > 1 (oils), thermal BL is thinner; for Pr < 1 (liquid metals), thermal BL is thicker; for Pr ≈ 1 (gases), they are similar. This relationship affects heat transfer: thinner thermal BL means steeper temperature gradient and higher heat transfer. For turbulent flow, both boundary layers have similar structures with a viscous sublayer, buffer zone, and turbulent core.
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