Meteorology for Air Pollution Control Engineers38

Meteorology for Air Pollution Control Engineers38 - This is...

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Bernoulli Equation One application of Bernoulli's equation is Without heat/work or z, and if u2A2 = u1A1 If ideal gas, ρ = PM/RT (equations 1.20-1.24) (u2 is proportional to P ) u 2 = 2 ( P 1 - P 2 )/ ρ ( α 2 - 1 A 2 / A 1 ) 2 If α1= α2=1, and A2/A1 =B2, we get equ. 1.17 ( 29 1 2 1 4 2 2 1 1 P P B u - - =
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Besides the 3 mechanical energies, a fluid also has internal energy (per unit mass), U Total energy per mass = u2/2 + P/ + gz + U = u2/2 + PV + gz + U (V = vol/mass = 1/) = H + u2/2 + gz ( H = enthalpy = U + PV) Q - W = ( H + α∆ u2/2 + g z) . m Note! Equ. 2.7 in Cooper & Alley has α in the denominator instead of the numerator.
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Unformatted text preview: This is incorrect but, of course, does not matter if α is assumed as unity. Bernoulli Equation • For orifice meter, Q (volumetric) = CDAo√2 ∆Π/ρ = Χ∆Αο√2γ ∆η Χ∆ = 0.3-1.0, δεπενδσ ον Ρε & Αο; Χ∆ ≈ 0.61 φορ Ρε10,00029 • For venturi meter, Q (volumetric) = CDA1A2√2g ∆η / √Α12-Α22 Energy Balance Example Example 2.2 (p. 82): Calculate the heat removed by cooling water. 20 lbmol/min 1 atm 450 F 150 ft/sec Blower Cooler To cyclone Work (electricity) 10 hP, 50% effic. Heat (removed by cooling water) hot air 20 lbmol/min 1.2 atm 125 F 250 ft/sec cool air...
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Meteorology for Air Pollution Control Engineers38 - This is...

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