From 37b17fcbd47426e0bf02795aa87e3c29c6b49a32 Mon Sep 17 00:00:00 2001 From: Arthur Idema Date: Sun, 31 Aug 2025 18:09:19 +0200 Subject: [PATCH] Tested code on queries with multiple phrases --- cranfield_queries_with_2_bigrams.tsv | 36 + filter_queries_by_ngrams.py | 34 + helper_scripts/display_results.sh | 2 +- .../cranfield_queries_with_2_bigrams.tsv | 36 + ngrams.csv | 1908 +++++++++++++++++ output_new_postings_bigrams.csv | 563 +++++ 6 files changed, 2578 insertions(+), 1 deletion(-) create mode 100644 cranfield_queries_with_2_bigrams.tsv create mode 100644 filter_queries_by_ngrams.py create mode 100644 ngram_queries/cranfield_queries_with_2_bigrams.tsv create mode 100644 ngrams.csv create mode 100644 output_new_postings_bigrams.csv diff --git a/cranfield_queries_with_2_bigrams.tsv b/cranfield_queries_with_2_bigrams.tsv new file mode 100644 index 0000000..bd281d3 --- /dev/null +++ b/cranfield_queries_with_2_bigrams.tsv @@ -0,0 +1,36 @@ +1 what similarity laws must be obeyed when constructing aeroelastic models of heated high speed aircraft . +3 what problems of heat conduction in composite slabs have been solved so far . +4 can a criterion be developed to show empirically the validity of flow solutions for chemically reacting gas mixtures based on the simplifying assumption of instantaneous local chemical equilibrium . +5 what chemical kinetic system is applicable to hypersonic aerodynamic problems . +10 are real-gas transport properties for air available over a wide range of enthalpies and densities . +11 is it possible to find an analytical, similar solution of the strong blast wave problem in the newtonian approximation . +20 has anyone formally determined the influence of joule heating, produced by the induced current, in magnetohydrodynamic free convection flows under general conditions . +25 does a practical flow follow the theoretical concepts for the interaction between adjacent blade rows of a supersonic cascade . +29 what is the effect of cross sectional shape on the flow over simple delta wings with sharp leading edges . +47 what are the existing solutions for hypersonic viscous interactions over an insulated flat plate . +53 what investigations have been made of the flow field about a body moving through a rarefied, partially ionized gas in the presence of a magnetic field . +58 is it possible to determine rates of forced convective heat transfer from heated cylinders of non-circular cross-section, (the fluid flow being along the generators) . +74 how significant is the possible pressure of a dissociated free stream with respect to the realization of hypersonic simulation in high enthalpy wind tunnels . +86 can a satisfactory experimental technique be developed for measuring oscillatory derivatives on slender sting-mounted models in supersonic wind tunnels . +88 how does a satellite orbit contract under the action of air drag in an atmosphere in which the scale height varies with altitude . +89 how is the flow at transonic speeds about a delta wing different from that on a closely-related tapered sweptback wing . +92 given complete freedom in the design of an airplane, what procedure would be used in order to minimize sonic boom intensity, and is there a limit to the degree of minimizing that can be accomplished . +94 what is the theoretical heat transfer rate at the stagnation point of a blunt body . +100 what are the effects of initial imperfections on the elastic buckling of cylindrical shells under axial compression . +105 what is the effect of an internal liquid column on the breathing vibrations of a cylindrical shell . +120 are previous analyses of circumferential thermal buckling of circular cylindrical shells unnecessarily involved or even inaccurate due to the assumed forms of buckling mode . +128 has anyone programmed a pump design method for a high-speed digital computer . +137 have any analytical studies been conducted on the time-to-failure mechanism associated with creep collapse for a long circular cylindrical shell which exhibits both primary and secondary creep as well as elastic deformations under various distributed force systems . +138 has the effect of initial stresses, on the frequencies of vibration of circular cylindrical shells, been investigated . +139 has the effect of the change of initial pressure due to deformation, on the frequencies of vibration of circular cylindrical shells been investigated . +147 what are the equations which define the stability of simply supported corrugated core sandwich cylinders . +157 have flow fields been calculated for blunt-nosed bodies and compared with experiment for a wide range of free stream conditions and body shapes . +159 what is the magnitude of aerodynamic damping in flexible vibration modes of a slender body of revolution characteristic of launch vehicles . +161 is there an integral method to give a single and sufficiently accurate method of calculating the laminar separate point for various incompressible and compressible boundary layers with zero heat transfer . +182 effects of leading-edge bluntness on the flutter characteristics of some square-planform double-wedge airfoils at mach numbers less than 15.4. +187 has anyone analytically or experimentally investigated the effects of internal pressure on the buckling of circular-cylindrical shells under bending . +198 is there any information available on the difference in the effects of various edge conditions on the buckling of cylindrical shells . +200 are asymptotic methods sufficiently accurate in the determination of pre-buckling stresses in torispherical shells, or must we resort to numerical methods . +210 has anyone analytically investigated the stabilizing influence of soft elastic cores on the buckling strength of cylindrical shells subjected to non-uniform external pressure . +211 what papers are available on the buckling of empty cylindrical shells under non-uniform pressure . +212 what effect do thermal stresses have on the compressive buckling strength of ring-stiffened cylinders . diff --git a/filter_queries_by_ngrams.py b/filter_queries_by_ngrams.py new file mode 100644 index 0000000..c787537 --- /dev/null +++ b/filter_queries_by_ngrams.py @@ -0,0 +1,34 @@ +import csv + +# Read ngrams from ngrams.csv (second column only) +# ngrams.csv format: id, term, frequency +ngrams = set() +with open('ngrams.csv', 'r', encoding='utf-8') as f: + reader = csv.reader(f) + for row in reader: + # Only use the term (second column) + if len(row) >= 2: + ngrams.add(row[1].strip()) + +# Function to count how many ngrams are present in the query +def count_ngrams_in_query(query, ngrams): + query_lower = query.lower() + count = 0 + for ngram in ngrams: + if ngram.lower() in query_lower: + count += 1 + return count + +# Open the input queries file and output file +with open('cranfield_queries.tsv', 'r', encoding='utf-8') as infile, \ + open('cranfield_queries_with_ngrams.tsv', 'w', encoding='utf-8', newline='') as outfile: + reader = csv.reader(infile, delimiter='\t') + writer = csv.writer(outfile, delimiter='\t') + for row in reader: + # Skip malformed lines + if len(row) < 2: + continue + qid, query = row[0], row[1] + # Write the query if it contains 2 or more ngrams + if count_ngrams_in_query(query, ngrams) >= 2: + writer.writerow([qid, query]) diff --git a/helper_scripts/display_results.sh b/helper_scripts/display_results.sh index e3f305c..22e95ec 100755 --- a/helper_scripts/display_results.sh +++ b/helper_scripts/display_results.sh @@ -20,7 +20,7 @@ for dir in ../results_new_postings/*; do SUMDF=$(duckdb "$DB" -csv -noheader "SELECT sumdf FROM fts_main_documents.stats;") # Get eval from cranfield_queries_half1 where name matches DB DB_BASENAME=$(basename "$DB" .db) - EVAL_HALF1="../results_new_postings/cranfield_queries_half2/${DB_BASENAME}_eval.txt" + EVAL_HALF1="../results_new_postings/cranfield_queries_with_2_bigrams/${DB_BASENAME}_eval.txt" if [[ -f "$EVAL_HALF1" ]]; then MAP=$(grep -E '^map[[:space:]]+all' "$EVAL_HALF1" | awk '{print $3}') POSTINGS_COST=$(grep '^Average cost in postings:' "$EVAL_HALF1" | awk '{print $5}') diff --git a/ngram_queries/cranfield_queries_with_2_bigrams.tsv b/ngram_queries/cranfield_queries_with_2_bigrams.tsv new file mode 100644 index 0000000..bd281d3 --- /dev/null +++ b/ngram_queries/cranfield_queries_with_2_bigrams.tsv @@ -0,0 +1,36 @@ +1 what similarity laws must be obeyed when constructing aeroelastic models of heated high speed aircraft . +3 what problems of heat conduction in composite slabs have been solved so far . +4 can a criterion be developed to show empirically the validity of flow solutions for chemically reacting gas mixtures based on the simplifying assumption of instantaneous local chemical equilibrium . +5 what chemical kinetic system is applicable to hypersonic aerodynamic problems . +10 are real-gas transport properties for air available over a wide range of enthalpies and densities . +11 is it possible to find an analytical, similar solution of the strong blast wave problem in the newtonian approximation . +20 has anyone formally determined the influence of joule heating, produced by the induced current, in magnetohydrodynamic free convection flows under general conditions . +25 does a practical flow follow the theoretical concepts for the interaction between adjacent blade rows of a supersonic cascade . +29 what is the effect of cross sectional shape on the flow over simple delta wings with sharp leading edges . +47 what are the existing solutions for hypersonic viscous interactions over an insulated flat plate . +53 what investigations have been made of the flow field about a body moving through a rarefied, partially ionized gas in the presence of a magnetic field . +58 is it possible to determine rates of forced convective heat transfer from heated cylinders of non-circular cross-section, (the fluid flow being along the generators) . +74 how significant is the possible pressure of a dissociated free stream with respect to the realization of hypersonic simulation in high enthalpy wind tunnels . +86 can a satisfactory experimental technique be developed for measuring oscillatory derivatives on slender sting-mounted models in supersonic wind tunnels . +88 how does a satellite orbit contract under the action of air drag in an atmosphere in which the scale height varies with altitude . +89 how is the flow at transonic speeds about a delta wing different from that on a closely-related tapered sweptback wing . +92 given complete freedom in the design of an airplane, what procedure would be used in order to minimize sonic boom intensity, and is there a limit to the degree of minimizing that can be accomplished . +94 what is the theoretical heat transfer rate at the stagnation point of a blunt body . +100 what are the effects of initial imperfections on the elastic buckling of cylindrical shells under axial compression . +105 what is the effect of an internal liquid column on the breathing vibrations of a cylindrical shell . +120 are previous analyses of circumferential thermal buckling of circular cylindrical shells unnecessarily involved or even inaccurate due to the assumed forms of buckling mode . +128 has anyone programmed a pump design method for a high-speed digital computer . +137 have any analytical studies been conducted on the time-to-failure mechanism associated with creep collapse for a long circular cylindrical shell which exhibits both primary and secondary creep as well as elastic deformations under various distributed force systems . +138 has the effect of initial stresses, on the frequencies of vibration of circular cylindrical shells, been investigated . +139 has the effect of the change of initial pressure due to deformation, on the frequencies of vibration of circular cylindrical shells been investigated . +147 what are the equations which define the stability of simply supported corrugated core sandwich cylinders . +157 have flow fields been calculated for blunt-nosed bodies and compared with experiment for a wide range of free stream conditions and body shapes . +159 what is the magnitude of aerodynamic damping in flexible vibration modes of a slender body of revolution characteristic of launch vehicles . +161 is there an integral method to give a single and sufficiently accurate method of calculating the laminar separate point for various incompressible and compressible boundary layers with zero heat transfer . +182 effects of leading-edge bluntness on the flutter characteristics of some square-planform double-wedge airfoils at mach numbers less than 15.4. +187 has anyone analytically or experimentally investigated the effects of internal pressure on the buckling of circular-cylindrical shells under bending . +198 is there any information available on the difference in the effects of various edge conditions on the buckling of cylindrical shells . +200 are asymptotic methods sufficiently accurate in the determination of pre-buckling stresses in torispherical shells, or must we resort to numerical methods . +210 has anyone analytically investigated the stabilizing influence of soft elastic cores on the buckling strength of cylindrical shells subjected to non-uniform external pressure . +211 what papers are available on the buckling of empty cylindrical shells under non-uniform pressure . +212 what effect do thermal stresses have on the compressive buckling strength of ring-stiffened cylinders . diff --git a/ngrams.csv b/ngrams.csv new file mode 100644 index 0000000..a942255 --- /dev/null +++ b/ngrams.csv @@ -0,0 +1,1908 @@ +1,vice versa,2 +2,ammonium chloride,1 +3,inorganic salts,2 +4,international geophysical,1 +5,dislocation climb,1 +6,slipstreams downward,1 +8,lagrangian multiplier,2 +10,spark schlieren,1 +12,generalised airforces,1 +13,solar activity,2 +14,retrocket exhausting,1 +15,current status,3 +16,flame stabilization,2 +17,apparently unlimited,2 +18,cambered ogee,1 +19,thermo 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transformation,1 +586,fundamental shortcomings,1 +587,varies inversely,3 +588,sinusoidal sinking,1 +589,structural joints,2 +590,essential difficulty,2 +591,discontinuous middle,1 +592,sting mounted,2 +593,spherical cap,3 +594,ethylene heated,2 +595,engined vertical,1 +596,arrhenius law,2 +597,stiffened longitudinally,1 +598,wedge shaped,3 +599,infinitely long,9 +600,entry mission,1 +601,rotor blades,1 +602,transonic bump,1 +603,surge phenomena,1 +604,approaches infinity,2 +605,creeping motion,1 +606,bell type,1 +607,nickel base,1 +608,tailplane combination,1 +609,alternative forms,1 +610,double wedge,3 +612,random excitation,1 +613,part iii,3 +614,roughness capable,1 +615,obvious practical,2 +617,conducting fluids,3 +618,iteration processes,1 +619,landing airplane,1 +620,axially symmetrical,5 +621,atmosphere entries,2 +622,preston tube,2 +623,quantitative estimates,1 +624,strictly inviscid,1 +625,sectorial plates,2 +626,slowly varying,2 +627,vtol aircraft,5 +628,generalized coordinates,3 +629,rolling missile,2 +630,plastic deformations,3 +631,upper atmosphere,7 +632,finite slabs,2 +633,progress report,1 +634,initial imperfection,1 +635,rocket exhaust,4 +636,front stages,2 +637,transport properties,9 +638,reflection process,2 +640,yield substantially,2 +641,maximum deceleration,4 +642,semivertex angle,6 +643,vary linearly,2 +644,exploratory studies,2 +645,jet inoperative,1 +646,schlichting waves,1 +647,propulsion system,3 +648,glide configurations,1 +649,square lattices,1 +650,aerothermoelastic similarity,1 +651,transverse magnetic,11 +652,panels exposed,2 +653,edge tractions,1 +655,real gas,16 +656,molecular vibration,3 +658,similarity law,5 +660,varying linearly,2 +661,column matrix,1 +662,relaxation oscillations,1 +663,fineness ratio,16 +665,successful application,2 +666,paper deals,8 +667,imposed magnetic,2 +668,supersonic diffusers,1 +669,vertical acceleration,3 +670,materials tested,1 +671,author considers,2 +672,control hinge,2 +673,tumbling motion,2 +674,square inch,1 +675,considerably greater,4 +676,elastic constants,4 +677,tail surfaces,4 +678,variable geometry,3 +679,highly loaded,1 +681,slender cruciform,3 +682,landing aircraft,1 +683,ultra high,1 +684,tip radius,2 +685,fineness ratios,4 +686,leads directly,2 +687,cylindrical sting,2 +688,core positions,1 +689,obtaining asymptotic,1 +690,bring transition,1 +691,causing separation,2 +692,compressive stress,7 +693,good qualitative,4 +694,injected gas,4 +695,normal force,21 +696,aec univac,2 +699,multiply connected,2 +700,elastically restrained,1 +701,national advisory,2 +703,btu lb,3 +706,sinusoidal gusts,1 +707,geometrical acoustics,1 +708,terminal guidance,1 +709,automatic recording,1 +710,electrical analogies,1 +711,unsteadily rotating,1 +713,ascending powers,2 +714,von mises,5 +715,sheltered side,1 +716,economical missile,1 +718,rapidly freeze,1 +719,caloric imperfections,1 +720,controlled trail,1 +722,electronic apparatus,1 +723,systematic group,1 +724,simply supplorted,1 +725,freely supported,2 +729,centrally loaded,1 +731,straight edged,1 +732,blade rows,4 +733,compressor surge,2 +734,semicircular cross,1 +735,moderately thick,1 +737,author obtains,2 +739,stressing heated,1 +740,mangler transformation,2 +741,horseshoe vortex,2 +742,thrust vector,4 +743,hinge locations,1 +744,automatic computers,1 +746,vortex cancellation,1 +747,creep rupture,2 +748,redundant structures,1 +749,semiapex angles,3 +751,improved smoke,1 +752,difficulties arising,2 +753,gross radial,1 +754,axi symmetric,1 +755,generalised porous,2 +756,rheological approach,1 +757,considerable fraction,2 +758,control devices,1 +759,turbine lattices,1 +760,nonequilibrium dissociating,1 +761,reentry ballistic,1 +762,planetary atmosphere,3 +764,data processing,2 +765,glide vehicles,2 +767,supply system,1 +768,corridor width,1 +770,discharge coefficient,2 +771,solid construction,2 +772,thermal cycling,1 +773,conduction controlled,1 +774,methods fore,1 +775,post buckling,4 +776,square planform,2 +777,base bleed,2 +778,section stringers,1 +780,plan form,12 +781,inelastic systems,1 +782,attachment line,2 +783,entry trajectories,2 +784,mathieu function,1 +785,helium simulation,1 +786,ellipse cylinder,1 +787,curves showing,3 +788,roughness particles,2 +789,buckled panel,5 +790,author discusses,1 +791,linearly varying,2 +792,coordinate system,3 +793,future research,2 +795,perforated tunnel,1 +796,wide ranges,2 +797,overexpanded nozzle,1 +798,natural frequency,3 +800,longitudinal stiffeners,1 +801,block ratio,1 +802,sample calculation,4 +803,gas dynamics,4 +804,tilting wing,3 +805,inelastic structures,1 +806,thermal stresses,15 +807,powered aircraft,1 +808,cylinder juncture,1 +810,paper concludes,2 +811,significantly lower,2 +812,swept wings,10 +813,rectangular plan,1 +815,mode shapes,6 +816,conical afterbodies,1 +818,large proportion,2 +819,stress strain,9 +820,rotor incidence,1 +821,previous investigations,2 +822,stresses arising,1 +823,symmetric deformations,1 +824,destabilizing effect,4 +825,ethylene air,1 +826,chapman jouguet,1 +827,van gorcum,1 +829,refractory shield,1 +830,chemically active,3 +831,permanent perturbation,1 +832,statically stable,4 +833,depend critically,3 +834,corridor widths,1 +835,remains invariant,2 +837,naca rm,3 +838,solar ultra,1 +839,electric analog,2 +840,nasa technical,2 +841,moving parallell,1 +842,physical interpretations,1 +843,analytic continuation,2 +844,corridor depth,2 +845,finding roots,1 +846,diving moments,2 +847,pressurised ring,1 +849,crocco lees,2 +850,digital computer,7 +852,uniquely dependent,1 +853,infinite expanse,1 +854,anti symmetric,1 +855,full skirted,1 +856,parabolic blading,1 +857,satellite orbits,6 +858,sudden contact,1 +859,wider applicability,1 +861,poor intermediate,2 +863,vertical stabilizer,1 +864,airfoil crest,1 +865,satellite traversing,1 +866,noise signals,1 +868,airplane attitude,1 +869,continuous ignition,1 +870,lateral directions,1 +871,nonconducting walls,2 +872,single bay,1 +873,split flaps,2 +874,flaps deflected,2 +875,uncoupled mode,1 +876,sphere inside,1 +877,isotropic turbulence,2 +879,sharp edged,3 +880,tangent wedge,7 +881,minor axis,2 +882,semi empirical,6 +883,rotation term,1 +884,controlled laboratory,2 +885,short oval,1 +886,fourth root,2 +887,peak stiffener,1 +888,paper summarizes,2 +889,redundant structure,1 +890,stress resultants,1 +891,limited amount,5 +892,mathematical difficulties,2 +893,close proximity,3 +894,local dynamical,1 +895,tip fins,1 +896,compressor routine,1 +897,favor part,2 +898,solved explicitly,2 +899,solid fuel,1 +900,sobsonic speeds,1 +901,configuration consisting,1 +902,recent contribution,2 +903,failing stress,2 +904,air scooping,1 +905,cruise performance,1 +906,parallel streams,4 +907,ordinary differential,13 +908,iterative process,4 +909,stiffness matrix,1 +910,pertinent expressions,1 +911,working fluids,1 +912,reacting gas,2 +913,discrete frequency,2 +914,jet pluming,1 +915,empirical information,2 +916,negative damping,2 +917,knuckle region,1 +918,plastic torsional,1 +920,entry trajectory,2 +921,modulated entry,1 +922,powered flight,1 +923,electron density,3 +924,classical criterion,1 +925,thick walls,1 +926,downwash surveys,1 +927,major components,2 +928,median section,1 +929,camber deflections,1 +931,variational formulation,1 +932,toroidal shell,1 +933,adiabatic wall,9 +934,rectangular cantilever,2 +935,versus time,2 +936,extensive series,3 +937,helium injection,8 +938,tip bluntness,2 +939,length width,3 +940,transtability flutter,1 +941,allowable axial,1 +942,wave advancing,2 +943,taper ratio,8 +944,techniques applying,1 +945,great practical,2 +946,aircraft structures,9 +947,shock standoff,2 +948,incremental normal,2 +949,stationary convection,1 +950,nose radii,2 +951,pivotal point,2 +952,reasonable accuracy,3 +953,transonic dynamics,1 +954,prevent flutter,2 +955,conical afterbody,6 +956,saunders roe,1 +958,jmin erfc,1 +959,slider bearing,1 +960,reviewer feels,2 +961,photo thermoelasticity,1 +962,specialized situations,1 +963,stainless steel,3 +964,splitter vane,1 +965,lb sq,2 +966,discoverer satellites,1 +967,glass shields,1 +968,gaseous detonation,1 +970,proved inadequate,2 +971,naca rep,4 +972,planetary atmospheres,3 +974,plastics teflon,1 +976,inversely proportional,2 +977,aerelastic considerations,1 +978,naca tn,6 +979,windward generator,1 +980,nodal pattern,3 +981,guidance requirements,2 +982,magneto hydrodynamic,2 +983,downwash impingement,1 +986,artificial satellites,2 +987,identical equally,1 +988,hot wires,3 +989,ring stiffened,9 +990,strain gages,2 +991,exit staticpressure,1 +992,analog computer,1 +994,wetted area,1 +995,wingtip panels,2 +996,oblate atmosphere,2 +997,tumbling motions,1 +998,edges elastically,3 +999,semi ellipsoidal,1 +1000,gaussian curvature,2 +1001,round entrance,1 +1003,prior knowledge,2 +1004,main text,2 +1006,sodium line,2 +1007,windward side,3 +1008,automatic computer,1 +1009,authors discuss,2 +1010,span wise,2 +1011,vibrations excited,3 +1014,running times,2 +1015,atmospheric entries,1 +1016,oseen linearization,1 +1018,single pass,2 +1019,semi infinite,16 +1020,analogue computer,2 +1021,circumferential band,2 +1022,flexural vibrations,2 +1023,time histories,7 +1024,rendering approximate,1 +1025,increasingly important,1 +1026,infinitesimally thin,2 +1027,entering planetary,1 +1028,increases linearly,5 +1029,reentry configuration,2 +1030,pitot tubes,4 +1031,blunt nosed,22 +1032,proceeds downstream,2 +1033,fourth power,6 +1034,effective heats,3 +1035,transverse vibrations,7 +1036,elongated bodies,1 +1037,uniformly valid,3 +1038,double beam,1 +1040,complementary function,1 +1041,fundamental concepts,2 +1042,supporting structure,3 +1043,hemispherical nose,4 +1044,unstiffened circular,1 +1045,pressurized cylinders,6 +1046,leading edge,89 +1047,diatomic gas,4 +1048,desired degree,2 +1049,spin rate,1 +1050,multistage axial,2 +1051,partially porous,1 +1052,forebody vortices,1 +1053,discontinuous profile,1 +1054,noncatalytic wall,2 +1055,overexpanded conical,1 +1056,real fluids,2 +1057,reflected head,1 +1058,sideslip derivatives,2 +1059,variables covered,2 +1060,circular sector,1 +1061,thermodynamic equilibrium,8 +1062,side force,5 +1063,reattaching flows,1 +1064,flared cylinder,1 +1065,shearing forces,2 +1066,fully developed,10 +1067,buckled panels,3 +1068,incremental theories,3 +1069,resultant force,4 +1070,simulated rocket,1 +1071,sudden change,2 +1072,midplane stress,2 +1073,radial displacements,2 +1074,escape speed,2 +1075,supersonic turbo,1 +1076,compressor blades,2 +1077,studied analytically,1 +1078,stiffened curved,1 +1079,flat plate,130 +1081,trim angles,2 +1082,yawing moment,1 +1083,directional stability,1 +1084,approximate indical,1 +1085,loads program,1 +1087,shock intensities,1 +1088,flexible modes,2 +1089,perturbations due,1 +1090,exponential external,1 +1091,successfully applied,2 +1092,performance estimates,2 +1093,sandwich structures,1 +1094,airfoil sections,5 +1095,observed experimentally,4 +1096,predicting column,1 +1097,chemical equilibrium,4 +1099,hangling qualities,1 +1100,turbulen coundary,1 +1101,circumscribing polygon,2 +1103,bay aluminium,1 +1104,charged conductor,1 +1105,tapered discs,1 +1106,bodt freedom,1 +1107,compare favorably,2 +1108,quick acting,1 +1109,particle entrainment,1 +1110,maritime transport,1 +1111,mechanical stressing,1 +1112,intense explosion,1 +1113,circulation lag,1 +1115,classical identity,1 +1116,ideal dissociating,7 +1117,geometrically orthotropic,1 +1118,tangent modulus,4 +1119,circumferential nodes,1 +1120,prandtl meyer,6 +1121,profiles inafinite,1 +1122,complementary error,1 +1123,retrorocket thrust,1 +1124,kinematic viscosity,5 +1125,corrugated core,3 +1126,factors affecting,5 +1127,driver gases,2 +1128,hugoniot relations,1 +1129,electronic computer,1 +1130,missile descending,1 +1131,points lying,1 +1132,classical hydrodynamics,2 +1133,digital computing,1 +1134,slipstream downward,1 +1136,porous plug,2 +1137,joule heating,1 +1138,aerothermoelastic testing,1 +1139,ogive forebody,1 +1141,blade row,2 +1142,parabolic arc,4 +1143,sine curves,1 +1144,severe acoustic,1 +1145,author proceeds,1 +1146,power expenditure,1 +1147,deflecting propeller,1 +1148,turbine blades,3 +1149,hammerhead nose,1 +1150,debye length,1 +1152,radially symmetric,1 +1153,comparable ballistic,1 +1154,frictional resistance,1 +1155,transverse stiffeners,5 +1156,jets exhausting,2 +1157,engineering materials,1 +1158,previously published,3 +1159,attached oblique,1 +1160,atmospheric reentry,2 +1161,isentropic streams,1 +1163,structural matrices,1 +1165,wave refracts,1 +1166,round pitot,1 +1167,elliptic orbit,3 +1168,engine exhaust,1 +1169,closed form,18 +1170,cross plots,2 +1171,part ii,4 +1172,compressibility transformation,3 +1173,good agreement,66 +1174,plane poiseuille,1 +1175,hodograph plane,1 +1176,rocket jets,2 +1177,thrust production,1 +1178,methane air,2 +1179,metals creep,1 +1180,rotor blade,1 +1181,rocket propulsion,1 +1182,middle surfaces,1 +1183,fatigue failure,4 +1184,testing machine,1 +1185,degree sweptback,3 +1186,factor affecting,1 +1187,modified strip,1 +1188,give rise,7 +1189,random vibration,2 +1190,degree sweepback,2 +1191,preliminary estimates,2 +1192,stagnation enthalpies,2 +1193,tail locations,1 +1194,vortex paths,2 +1195,generally resulted,2 +1196,cyclic thermal,1 +1197,local inclination,1 +1198,biharmonic equation,1 +1199,discharge coefficients,2 +1200,nonsimilar solutions,1 +1201,practical interest,4 +1203,qualitative information,1 +1204,generalised newtonian,1 +1205,turning angle,4 +1206,gust pattern,1 +1208,toroidal shells,1 +1209,outer expansions,1 +1210,rapid convergence,2 +1211,adjacent edges,2 +1212,alfven velocity,1 +1213,maintaining laminar,1 +1214,concentration profiles,1 +1215,cylinder frustum,1 +1216,matrix force,2 +1217,initial deviation,2 +1219,nose blunting,3 +1220,circular arc,4 +1221,throat diameter,2 +1222,report deals,2 +1223,trailing edges,9 +1224,closing reply,1 +1226,confluent hypergeometric,1 +1227,gauss seidel,1 +1230,inequality constraints,1 +1231,rankine hugoniot,2 +1232,york university,2 +1233,van driest,1 +1234,impeller wheel,1 +1235,wood smoke,1 +1236,fiber glass,2 +1237,aluminum alloy,12 +1238,undershoot bound,1 +1239,floating element,4 +1240,engine mounting,1 +1241,binary scaling,1 +1242,guide vanes,2 +1243,question arises,1 +1244,atomic oxygen,2 +1245,von karman,23 +1246,farther back,2 +1247,flexural rigidity,3 +1248,isobar pattern,1 +1249,relating flexure,1 +1250,breathing vibrations,2 +1252,axi symmetrical,1 +1253,highly polished,1 +1254,shroud contours,2 +1255,forward facing,6 +1256,launched rocket,1 +1257,enclosed area,1 +1258,short skirted,1 +1260,oscillating harmonically,2 +1261,sixth degree,2 +1262,magnetic inductance,1 +1263,closely spaced,1 +1264,projectile related,1 +1265,moving steadily,2 +1266,manned vehicles,4 +1268,periodically oscillating,1 +1269,controlling stiffness,1 +1270,integrated numerically,7 +1271,smallest height,1 +1272,intrinsic system,1 +1273,dead weight,3 +1274,special care,1 +1275,inert internal,1 +1277,generally accepted,2 +1278,charts adapted,1 +1279,systematic kernel,1 +1280,prandtl glauert,4 +1281,forces exerted,1 +1282,inert mode,1 +1283,laval nozzle,1 +1284,varies linearly,3 +1286,wich cylinders,1 +1287,lower bound,2 +1288,mixing zone,5 +1289,short period,4 +1290,nonparallel plane,1 +1291,appreciably affected,1 +1292,insulating properties,1 +1293,plates reinforced,3 +1294,aeronautical research,2 +1295,thermochemical equilibrium,2 +1296,unpowered flight,1 +1297,dissociated hypervelocity,1 +1298,thermal diffusivity,1 +1299,bulk viscosity,1 +1301,major minor,2 +1303,finite difference,17 +1304,uniaxial stress,4 +1305,lowest frequency,1 +1306,hollow cylinder,2 +1307,cylindrical membranes,2 +1308,rotating stall,2 +1309,dynamic rotary,1 +1311,criterion applies,2 +1312,streamline pattern,3 +1313,excellent agreement,7 +1315,elliptic integrals,1 +1316,foreign gas,8 +1318,meridian section,1 +1319,satellite orbit,3 +1320,propeller slipstream,5 +1321,hinge moment,3 +1322,strong blast,1 +1324,delta planform,2 +1325,negligibly small,3 +1327,hoop stresses,2 +1328,galerkin process,1 +1329,flight path,10 +1330,pure bending,5 +1331,open area,2 +1332,continuous sinusoidal,1 +1333,theoretically perfect,1 +1334,volume term,1 +1335,slender ogee,1 +1336,roughness sizes,1 +1337,head forms,1 +1338,motion pictures,2 +1339,generalised conical,2 +1340,nonstationary compressible,1 +1341,elastic toroidal,1 +1342,hyperbolic approach,1 +1343,cylindrical afterbodies,3 +1345,taking account,2 +1346,rarefied gas,4 +1347,tangential loading,1 +1348,explicit relation,1 +1350,conical camber,1 +1351,independent variable,6 +1353,vibrational equilibrium,1 +1355,paper concerns,2 +1356,maxwellian distribution,2 +1357,briefly discussed,10 +1358,large negatively,1 +1360,shroud technique,2 +1361,provide information,2 +1362,cantilever square,1 +1363,modulus material,1 +1365,lagrange equation,2 +1367,return lunar,1 +1368,usaf sponsored,2 +1369,negatively sloped,1 +1370,sodium carbonate,2 +1372,california institute,3 +1373,crossed flexure,1 +1374,loose dirt,1 +1375,transversely impinging,1 +1376,buried fan,1 +1377,newton busemann,2 +1378,rae bedford,2 +1379,apparent contradictions,1 +1380,nasa lewis,2 +1381,aileron buzz,1 +1382,face wrinkling,1 +1383,engine mount,2 +1384,irreversible processes,2 +1385,descending paths,1 +1386,dodecagonal sectional,1 +1387,protection shield,2 +1389,choked convergent,3 +1390,full dispersed,1 +1391,schlieren photographs,10 +1393,entering irbm,1 +1394,opposite spin,1 +1395,walled unstiffened,1 +1396,hot wire,10 +1398,disk springs,1 +1399,teflon shields,1 +1400,peripheral jets,1 +1402,sharp cornered,2 +1403,spiral vortices,1 +1404,natural frequencies,7 +1405,pump rotor,1 +1407,arbitrarily inclined,1 +1408,specific heats,18 +1409,rocket motor,2 +1410,accelerating convergence,1 +1411,interplanetary orbits,1 +1412,lingitudinal loads,1 +1413,variational principle,3 +1414,lying close,1 +1416,centrifugal compressors,2 +1417,blockage corrections,1 +1418,compressor cascades,1 +1419,enthalpy potentials,1 +1420,essential simplicity,1 +1421,porous coaxial,1 +1422,full scale,15 +1423,vehicles traversing,1 +1424,buckled states,2 +1425,harmonic oscillations,3 +1426,acoustic proof,1 +1428,perfectly conducting,2 +1429,magnetohydrodynamic duct,2 +1430,detachment distance,12 +1431,exhausting rearward,1 +1432,band width,2 +1433,interferometric studies,1 +1434,polar peak,1 +1435,hinge axis,2 +1436,sonic boom,6 +1437,weak shocks,3 +1438,conservative estimate,1 +1440,physically reasonable,2 +1441,eccentricity orbits,1 +1442,circular cylinderical,1 +1443,slotted flap,3 +1444,assumed inaccuracies,1 +1445,initial imperfections,8 +1446,fan blade,1 +1447,satellite observations,2 +1448,photothermoelastic experiments,2 +1449,degree dihedral,1 +1450,considerably smaller,3 +1451,climb techniques,1 +1452,virtual work,2 +1454,hinge moments,2 +1455,newtonian impact,6 +1456,eighth order,2 +1457,virtually constant,1 +1458,working section,7 +1459,qualitiative solutions,1 +1460,indical lift,2 +1461,modified oseen,3 +1462,specular type,1 +1463,shell median,2 +1464,taylor instability,1 +1465,surprisingly large,2 +1466,unit area,3 +1467,radiation integrals,1 +1468,gun tunnel,2 +1469,steady state,17 +1470,slightly blunted,4 +1471,symmetrical missiles,1 +1472,modified newtonian,11 +1473,molecular dissociation,1 +1474,diverging nozzle,1 +1475,weight strength,5 +1476,sufficiently accurate,5 +1477,reattached subsonic,1 +1478,thin pressurised,1 +1479,cone frustum,1 +1480,exponential atmosphere,2 +1481,fluid flowing,3 +1484,pure torsion,2 +1485,transverse curvature,6 +1486,numerical integrations,3 +1487,bending moments,6 +1488,taper ratios,3 +1489,previously reported,2 +1490,super aerodynamic,2 +1491,numerically assuming,1 +1492,drag penalty,2 +1493,characteristic features,2 +1494,top conical,1 +1495,stagnation point,62 +1496,rigid rotating,1 +1497,ideal gas,12 +1498,compressive circumferential,2 +1500,foot span,1 +1503,direct gust,1 +1504,loaded cantilever,1 +1505,delta wings,20 +1506,couette type,2 +1507,insulated flat,8 +1508,accommodation coefficients,1 +1509,detailed description,2 +1510,heat sustaining,1 +1511,combustible gas,1 +1512,structure spread,1 +1513,turbine blade,3 +1514,coolant material,1 +1515,unswept wings,4 +1516,sufficient magnitude,1 +1517,reaction rate,4 +1518,jet exhausting,10 +1519,conic bodies,1 +1521,free stream,122 +1522,relaxation phenomena,1 +1523,numerical examples,15 +1524,spherical earth,1 +1528,sir geoffrey,1 +1529,mm hg,1 +1530,acoustical signal,1 +1531,handling qualities,2 +1532,tailored interface,1 +1533,euler lagrange,2 +1534,shielding mechanism,1 +1535,operating costs,2 +1536,electron ion,2 +1537,rae farnborough,1 +1538,glassy materials,1 +1539,binary mixture,4 +1540,sweat cooled,2 +1541,matric structural,2 +1542,motor operating,1 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