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Determine the effective height of Stack?

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Question:  Determine the effective height of stack, with the following given data. Physical stack is 180m tall (h) with 0.95m inside diameter (D). Wind velocity (u) is 2.75m/sec. Air temperature (Ta) is 20°c. Barometric pressure (P) is 1000 millibars. Stack gas velocity (Vs) is 11.12 m/sec. Stack gas temperature (Ts) is160°c. Solution:     Height of Stack (h) = 180 m Inside Diameter of Stack (D) = 0.95 m  Wind velocity (u) = 2.75 m/sec Barometric pressure (P) = 1000 millibars. Stack gas velocity (Vs) = 11.12 m/sec. Stack gas temperature (Ts) = 160°c. =  20 + 273 = 293k  Air temperature (Ta) = 20°c.= 160 + 273 = 433k  Using Equation, we have:       Δ h = 8.92 m H = Effective height of Stack H = h +  Δ h = 180 + 8.92 = 188.92 m.     Effective Height of Stack  = 188.92m