2n 2r 3b 4x4 a a1 a2 a3 a4 aarst ab able above abstract abundant accuracy accurate accurately across act action active add addition additional advantage advertised after against ai aid air airflows all allow allows almost along already also although always american among an analytical and any appears applicable applications applied applies approach appropriate appropriately approximate approximately approximates approximation are areas arrow arteries as aspects assessed assign association assumed assumes assuming assumption at atoms attic away axis b b1 b2 ba back bag bb be becomes been before behavior below bernoulli best between beyond bi blood blue boost both branch branches breaks but by c c1 c2 c3 c4 c5 caf calculated calculating calculation calculations can cannot capillaries capillary capture case cases cavities cavity central certain cf cfm change character characteristic characteristics characterized characterizes choices choked choose chosen circle circuits circumstances clay clear close closest co collins collisions combined come common commonly compare compared complete complex complexity component components computer conclusion concrete conditions configuration connect connected connections conservation considered consists construct contain continue continuity convective conveniently converged convergence correct correlation corresponding corresponds counteract counteracted cracks crawlspace criteria criterion critical cross crossing cubic cumbersome curve curves cylindrical d dashed data deactivated dealing defense define defined defining definitions degree degrees demonstrate demonstrated density depending depends depressurization derivations derivative derivatives derive derived deriving describe described description design designated designing despite det detail determined determining develop developed deviation deviations diameter diameters difference differences different differently diffusion dimension dimensional dimensionless direct directly discharge discuss discussed distance distances distribution divided dividing does dominate done down drags drop ducts due during dynamics e each easier effect effective effects either elbows electronic embedded emphasized employed employing end enough eq equation equations equivalence equivalency equivalent essentially evaluate evaluated evaluating evaluation even example excavated exist existing exists expect expected experimental experiments expressed expresses expression extend extract extraction f f0 f1 f2 f2a f2a2 f3 f3a3 f4 f4a4 f5 f5a5 fa fact factor fairly fan fans fb feet fi fig fig4 figure final finally find finding first fk flexibility flow flows fluid fn following foot for form formula formulate formulation fort forth found four fr fr150 free friction from ft function functional functions further future g gaining garage gas general generally generated generic give given gives giving go goal good governs graph graphed graphic graphically gravel gravitational green ground half hand hard has have heating heavy helpful here high higher hole home homes horizontal horizontally house how however hp220 i if ii iii immediately important in inc inch include included includes incompressible increases independent indicate indicated indicates indicating individual industry information inhomogeneities inserted insertion inside insight insights installation installed installing instance instead interconnecting interesting international interpretation interpreted interpreting into introduction inverse inversion inverted is it iteration iterative its jacobian keeping kirchhoff kn known knudsen l l11 l12 l21 l22 laminar landscape large largest las later leading leads leaks left length lengths less levels lift likely limit line linear linearity lines local long longer looped looser loosing loss losses low lower m3 macros made majority manufacturer manufacturers many mark marked marker material mathematically matrices matrix maximum may mean means measure measured measurement measurements measuring medicine medium mention method min mind minute minutes mitigation mitigations mode model modeling molecules moorman more most move movement moving much multi multiple multiplication must n near nearly negative nevertheless new newton next no node nodes non nonlinear nonlinearity not notation now nr number numbers numerical numerically nv observation observed obtain obtained of on once one only onset open opening openings operate operates operating optimization optimize or original other our outside over p p1 p2 p3 p_45b pa parabolic parameter parameterization parameters part particle particles passive path pb pea per pf pf1 pf2 pf3 pfr pfrg ph p_hole physical physics pieces pipe pipes piping placing play plus point points poiseuille pore pores porous possibility possible possibly power pq practice presented pressure pressures previous prg pro proceedings process program purpose put q q1 q1b1 qi quadratic qualitative qualitatively quantification quantitative quattro r radius radon range raphson rate rates rather ratio reached read reading real reasonable red reduce reduction referred reformulated regime region regions related relationship relative relevant representing residence residences resistance resistances resolution respectively response responsible result resulting reynolds rg right rock roll root round rp rp3 rp5 rr rule running s same sand scaled schematically schematics scientists second section sections see seen sense separately september serviced set sets several sf shear shift short shorter show showed showing shown shows si side sides similar similarly simple simplest simulated simulations simultaneously since single situ situation situations size sizes sizing sky slab slope slow small smaller soil solid solution solutions solve solved solving some somewhat somewhere space specific specification speed speeds squares stack starting state statement steady steps stopping straight stress strongest strongly sub subject substituting such sufficiently summarized support suppression switching symbols symposium system systems t takes technologists tee temperature testing text than that the their then theoretical theory there therefore these this those though three through thus tight time timing to together top total transportation tube tubes turbulence turbulent turn two type types under understanding understood unique uniquely unit units unknown until up upper us use used uses using utilizing v vacuum valid validity value values variables various varying vector vegas veins velocities velocity vent ventilation ventilator ventilators verification verified vertical very via virtual viscosity viscous volume wall walls was we weakest well were what when where whereas whether which while will with within work would write written yet zero Δpf Δps ε η ρ