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** this ****** *** ********** ******** **** *** **** ****** ** the ******* *** ****** ***** ******** are **** the same ie  ********** ⎞⎟ =⎛⎜Δpf ⎞⎟ *********** ****** *********** ****** * ⎝ * ⎠A *** * **** *** L **** *** * ********** *** stepwise ********* for designing *** **** system ** ** *********** ****** * ******** ********** ******** drop *** **** length ******** ** minimize the combined ******* *** running ******** The equivalent ******** ** *** ******* **** *** ** ******** **** *** ******** value of ******** and *** ******* rate ** ***** ** ****** *** ******* **** ***** central n **** ** ** ***** ** the total of ******* ***** ** all *** *********** ***** **** * QA *** +Q2 * ** * ** + Q5 = ***** * ****** *** airflow **** *** ******** the ********** diameter of *** **** **** ****** *** ** ******** either **** *** ******** ***** ** ***** *** frictional pressure drop ******** ie 3 Since *** ********** ******** drop *** unit ****** ** *** **** *** all *** duct **** *** equivalent ********* ** *** other **** run * ** I *** ******** from the equation:  *** **** ⎞ *** **** *** *** **** *** *** * *** *** * *** *** * ⎟ ⎜ *** * *** *** * *** ⎟ * ********** ****** ************* ⎟⎟ ************* ********* *** **** ⎝ ⎠B *** ******* If *** ***** are *********** **** the *** sides ** **** ***** rectangular duct are obtained **** the equivalent ******** of **** *** *** ** fixing ****** ratio as ********* ******* **** the ********** ** *** the **** **** *** ** obtained *** ******** ** *** through **** **** ** ******** **** the ********** flow **** and *** cross-sectional ******* **** **** the ********** of the ***** in **** *** *** ***** ********** pressure **** ** that *** ** ******** ** multiplying *** ********** ******** **** *** unit ****** *** the length ie  ΔPfA *********** ****** ** ; ***** *********** ****** ** *** * ⎠A ⎝ * ******* **** **** **** ***** ******* pressure losses are ******** based ** *** **** ** ***** or ******** **** ** **** ****** **** the ***** pressure **** in **** **** *** ** ******** ** ******* ** *** frictional *** ******* ****** ** **** run **** ** ***** pfA ******* ΔPB ****** ****** *** **** the *** ** selected ** suit *** ***** run **** *** ******* ******** loss Dampers *** installed in all *** **** runs to ******* *** ***** ******** ******

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