Final answer:
The hydrodynamic and thermal boundary layers are thin layers of fluid near a solid surface where the flow velocity and temperature change, respectively. The velocity and temperature distributions in these boundary layers can be described by the velocity profile, u(y), and the temperature profile, T(y).
Step-by-step explanation:
The hydrodynamic boundary layer is a thin layer of fluid near a solid surface where the flow velocity changes from the free stream velocity to zero. The thermal boundary layer is a similar layer where the temperature changes from the free stream temperature to the surface temperature. The velocity distribution in the hydrodynamic boundary layer can be described by the velocity profile, u(y), which varies with distance from the surface. Similarly, the temperature distribution in the thermal boundary layer can be described by the temperature profile, T(y).