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Runner volume

An intake runner is usually slightly tapered, and both the volume and how quickly it tapers affect filling and response. Enter the entry diameter, exit diameter and length, and we work out the runner volume as the mean area times the length, plus the included taper angle.

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The diameter at one end of the runner.
The diameter at the runner's other end.
Length between the two cross sections.

Runner volume

209,0 cc

Volume in cubic inches: 12,76 ci
Included angle: 2,86 °
Mean area: 1 742 mm²

The volume is the mean area times the length (trapezoidal approximation). Street is often at 2-4 degrees of included angle, race 3-6 degrees.

How the calculation works

Each end of the runner has an area that is π times radius squared. Because the channel tapers we take the average of the two areas and multiply by the length. That gives a trapezoidal approximation of the volume, which we divide by 1000 to get cc from measurements in mm.

The included angle describes how steeply the runner tapers. It is worked out as twice the angle between the walls seen from the centre, that is 2 × atan of half the diameter difference divided by the length. A small angle keeps air velocity high, while a larger angle increases flow but lowers velocity. These are geometric guide values; the real flow is measured on the flow bench.

Area = π × (diameter / 2)² Mean area = (entry area + exit area) / 2 Volume (cc) = mean area × length / 1000 Included angle = 2 × atan((|d1 - d2| / 2) / length)

Example

A runner with a 44 mm entry diameter, 50 mm exit diameter and 120 mm length gives a mean area of about 1742 mm², a volume of 209 cc and an included angle of 2,86 degrees.

Guide values for included taper angle

ApplicationIncluded angle
Street2-4 degrees
Race3-6 degrees
Larger anglemore flow, lower velocity
Smaller anglehigher velocity, less flow

Guiding range. A longer runner lowers the rpm of the power peak, a shorter one raises it.

Common questions about runner volume

A tapered channel has a different area at each end. By taking the average of the two areas and multiplying by the length you get a good approximation of the real volume. For shallow tapers the difference from an exact cone calculation is very small.

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