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Experimental and Numerical Study of Swirling ... - Solid Mechanics

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<strong>Experimental</strong> <strong>and</strong> <strong>Numerical</strong> <strong>Study</strong> <strong>of</strong> <strong>Swirling</strong> Flow in Scavenging Process for 2-Stroke<br />

Marine Diesel Engines<br />

Chapter 4<br />

values <strong>of</strong> vrv z . An overall picture <strong>of</strong> the distribution can be understood in<br />

this way that at z1, the highest values <strong>of</strong> v v z are observed in the vortex<br />

region whereas the vrv z are dominant in the near wall region. The region<br />

in between has the minimum values for both the shear stress components.<br />

With swirl decay along the flow, the spatial distribution <strong>of</strong> these shear<br />

stresses increase <strong>and</strong> magnitude decreases.<br />

4.2.7 Average Turbulent Kinetic Energy<br />

The average turbulent kinetic energy (TKE) k is given by<br />

<br />

1<br />

k uu vv ww<br />

(4.1)<br />

2<br />

From equation (4.1), the turbulent kinetic energy represents half the sum <strong>of</strong><br />

normal components <strong>of</strong> Reynolds stresses. Thus a possible bias, as discussed in<br />

section 4.2.6, due to vortex core precession can also be expected in the values<br />

<strong>of</strong> k in the vortex core region.<br />

84<br />

<strong>Swirling</strong> Flow in a Pipe

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