When the Peclet number is much greater than unity ( 1 ), advection dominates diffusion.
4.
One way to tell if mixing is happening due to convection or diffusion is by finding the Peclet number.
5.
The variation between \ phi \, and x is depicted in Figure for a range of values of the Peclet number.
6.
Peclet number is defined to be the ratio of the rate of convection of a physical quantity by the flow to the rate of diffusion of the same quantity driven by an appropriate gradient.
7.
If the flow is in positive direction then, peclet number P is positive and the term ( P-| P | ) = 0, so the function f ^-won t play any role in the assumption of �r and �l.
8.
It requires that transportiveness changes according to magnitude of peclet number i . e . when pe is zero \ varphi is spread in all directions equally and as Pe increases ( convection > diffusion ) \ varphi at a point largely depends on upstream value and less on downstream value.
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