Turbulent Flow in a Tube of Circular Cross-Section

TURBULENT FLOW IN A TUBE OF CIRCULAR CROSS-SECTION 

The case of turbulent flow and diffusion which was treated in Taylor s second paper (Taylor 1954a) clearly comes under the general case. If i/j and x are functions of p = (172 + 2)1/2 only and a is the radius of the tube equation (9) becomes 

This is the function tabulated in column (8) of table 1 (Taylor 1954a), and the final column (11) of this table is 

In 4 of this paper the effect of longitudinal diffusion is estimated and is added to diffusion coefficient k/i2. Equation (41) of the present paper supplies a rigorous justification for this. 

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