Community Answer

【General guidance】The answer provided below has been developed in a clear step by step manner.Step1/2Step 1:Given:Diameter of the pipe (D) is \( \mathrm{{4}} \) in..Absolute pressure (p) is \( \mathrm{{30}} \)  psia.Absolute temperature (T) is 100°FExplanation:Please refer to solution in this step.Step2/2Step 2 : Take the gas constant of the air to be 1716 lbf⋅ft/slug⋅°R.  R=1716 lbf⋅ft/slug⋅°RUsing the ideal gas law, calculate the density of the air (ρ).  ρ=pRT=30 psia(1716 lbf⋅ft/slug⋅°R)(100°F)=4320 lbf/ft2(1716 lbf⋅ft/slug⋅°R)(560°R)  =0.0045 slug/ft3=0.0045 lbf⋅s2/ft4For the maximum laminar flow, the critical value of the Reynolds number is 2300.For temperature at 100°F, take the viscosity of the air to be 3.94×10−7 lbf⋅s/ft2.  μ=3.94×10−7 lbf⋅s/ft2Calculate the maximum velocity of the air (V).  Re=ρVDμ  V=μReρD=(3.94×10−7 lbf⋅s/ft2)(2300)(0.0045 lbf⋅s2/ft4)(4 in.×1 ft12 in.)=0.605 ft/sCalculate the maximum flow rate of air (m˙).  m˙=ρVA=ρV(πD24)=(0.009 slug/ft3)(0.302 ft/s)[π(4 in.×1 ft12  ... See the full answer