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Basics of Fluid Mechanics, 2014a

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11.3. SPEED OF SOUND 383<br />

consider a two dimensional situation where a particle is moving from the left to the right.<br />

A particle movement creates a pressure change which travels toward outside in equal<br />

speed relative to the particle. Figure 11.3 depicts an object with three different relative<br />

velocities. Figure 11.3(a) demonstrates that the whole surroundings is influenced by<br />

the object (depicted by red color). While Figure 11.3 (b) that there small zone a head<br />

object that is “aware” if the object arriving. In Figure 11.3 (c) the zone that aware <strong>of</strong><br />

the object is practically zero.<br />

(a) Object travels at 0.005 <strong>of</strong><br />

the speed <strong>of</strong> sound<br />

(b) Object travels at 0.05 <strong>of</strong> the speed <strong>of</strong><br />

sound<br />

(c) Object travels at 0.15 <strong>of</strong> the speed <strong>of</strong> sound<br />

Fig. -11.3. Moving object at three relative velocities. The gray point in the first circle is the<br />

initial point the object. The finial point is marked by red circled with gray filled. Notice that<br />

the circle line thickness is increase with the time i.e the more green wider circle line thickness.<br />

The transition from the blue fresher lines to the green older lines is properly marked.<br />

In fact, when the object velocity is about or larger than the speed <strong>of</strong> sound then<br />

the object arrive to location where the fluid does not aware or informed about the object.<br />

The reason that in gas the compressibility plays significant role is because the ratio <strong>of</strong><br />

the object or fluid velocity compared to speed <strong>of</strong> sound. In gases the speed <strong>of</strong> sound<br />

is smaller as compare to liquid and defendtly to solid. Hence, gases are media where<br />

compressebilty effect must be considered in realtionshp compressebilty. There are some<br />

how defined the Mach cone as the shape <strong>of</strong> object movement approaching to one. This<br />

shape has angle and it related to Mach angle.

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