Fluid Mechanics
The hydrodynamic and thermal boundary layers will merge, when

Nusselt number tends to infinity
Schmidt number tends to infinity
Archimedes number is greater than 10000
Prandtl number is one

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Fluid Mechanics
Steady flow occurs, when the

Conditions do not change with time at any point
Rate of the velocity change is constant
Conditions change steadily with time
Conditions are the same at the adjacent points at any instant

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