Abstract
The laminar fluid flow in the entrance of a circular pipe has received much attention recently. It is generally accepted that at distance x >˜ 0.150R Re (where R is the radius of the pipe and Re is the Reynolds number) that Poiseuille flow has been reached. Thus for large Reynolds number flows the pipe has to be very long before Poiseuille flow can be assumed to exist. If the fluid enters the pipé at a different temperature to that of the pipe wall, all theories usually follow that proposed by Graetz, in that the deviation of the flow from Poiseuille flow is negligible. In this paper the simultaneous development of the viscous and thermal boundary layers on the pipe wall will be investigated analytically.
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