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

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

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Fluid Mechanics
Shear stress in a fluid flowing in a round pipe

Varies parabolically across the cross-section
Is zero at the centre and varies linearly with the radius
Remains constant over the cross-section
Is zero at the wall and increases linearly to the centre

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