Why Do We Use the Complex Conjugate of Velocity to Calculate Acoustic Intensity?

AI Thread Summary
Multiplying the complex conjugate of velocity with complex pressure is essential for accurately calculating complex acoustic intensity. This approach ensures the correct phase relationship is maintained, similar to how apparent electrical power is calculated using complex forms. Without the conjugate, the phase angle would incorrectly add rather than subtract, leading to inaccurate results. The use of the complex conjugate resolves this issue, allowing for a proper representation of the phase difference. Understanding this relationship is crucial for accurate acoustic intensity calculations.
Radel
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Hello All,

I would like to know why do we multiply the complex conjugate of velocity (not just the velocity) with the complex pressure to obtain the complex acoustic intensity. Could someone please help me with this?

Regards,
Radel...
 
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I guess for the same reason the apparent electrical power in complex form is given by S = VI*. Correct phase angle between voltage phasor V=V⋅ejφv and current phasor I=I⋅ejφi is φ=φv-φi. Without conjugate you would get in the product φ=φv+φi. Conjugate of the current I*=Ie-jφi solves this problem since S=VI*=V⋅ejφv⋅I⋅e-jφi=V⋅I⋅ej(φv-φi).
 
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