Equilateral Triangular Cross-section

This trial solution satisfies the no-slip boundary condition on dC. The substitution of this trial solution on the Laplacian term of the governing equation (2.35) gives 

The flow rate Q can be found by integrating over y and then over z as 

Thus the hydraulic resistance for the equilateral triangle channel is 

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For a long enclosure with an equilateral triangular cross section [Fig. 9.6(c)], noting the symmetry F12 = FI3, and coupling this fact with F22 + F13 = 1, we get... 

Verify that fRe = 53.36 for flow inside a microchannel with equilateral triangular cross-section. 

A standard 1.000 kg mass is to be cut from a bar of steel having an equilateral triangular cross section with sides equal to 2.50 in. The density of the steel is 7.70 g/cm. How many inches long must the section of bar be ... 

A concrete lined drainage ditch has a triangular cross section that is an equilateral triangle 8 ft on each side. The ditch has a slope of 3 ft/mi. What is the flow capacity of the ditch, in gpm ... 

The triangular cross section is equilateral when m = 1 / v. In this case, the flow cross section S = H ly/3, and the final result for the average velocity is... 

Because the manufacturing processes employed sometimes produces microchannels of triangular cross section with one, two, or three rounded comers instead of sharp comers, in Table 7 the numerical results obtained by Shah and London [4] for an equilateral triangular microchannel with rounded comers in terms of Fmax, Ka, Kf, K(po), and/Refd are quoted. The radius of each rounded comer is considered as a/3, as shown in Fig. 5b, with 2a as the side length of the base triangle. 

Pressure-Driven Single Phase Liquid Flows, Figure 5 Schematic of (a) the isosceles triangular cross-section and (b) an equilateral triangular microchannel with rounded comers... 

For the triangular geometry, we consider the adsorption space as being a prism, whose cross section is an equilateral triangle, formed by three semi-infinite walls, each wall consisting of 4 graphite planes. The size of the pore, d, is taken as the diameter of the inscribed circle The axis of the pore runs along the xe (0,/-) coordinate, with L =21 nm and periodic boundary conditions in x. 

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