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{"sheet":"Calculadores","index":1,"n_rows":208,"n_cols":28,"rows_kept":208,"cut":false,"hidden":false,"merged":[[197,2,198,3],[2,6,2,8],[181,2,182,3],[3,0,3,1],[119,0,119,2],[149,0,149,1],[2,3,2,5],[182,0,183,1],[198,0,199,1]]}
["Nos calculadores, preencha as células a verde e, depois, carregue no botão se houver! Se tiver dificuldades ler a folha  \"Título\"!",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ângulo da placa com a vertical (º)"]
["O resultado aparece nas células a vermelho. Informação ou o mesmo cálculo, mas com outras unidades, pode aparecer em células a roxo.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"     Preencher tb. ====>"]
["Se o botão for necessário, ele aparecerá sempre à esquerda!","Não se esqueça de que as macros têm de estar ativadas!",null,"Zona para rascunho",null,null,"Zona para rascunho"]
["Ir para o calculador (clicar no link!):"]
["Ordem alfabética","Símbolos"]
["Ângulo zenital do sol","y"]
["Azimute do sol","Az"]
["Calor latente de vaporização da água","l"]
["Coeficientes de difusão molecular","DM, DH, DV, DC"]
["Constante Psicrométrica ","g"]
["Declinação do sol","d"]
["Densidade do ar","ra"]
["Equação do tempo","ET"]
["Fator de correção (Cf)para a evapotranspiração potencial não-ajustada (ETp'), segundo o método de Thornthwaite.","Cf"]
["Hora do nascer/pôr do sol/fotoperíodo","Sr, Ss, Dl"]
["Humidade absoluta","χ"]
["Humidade específica","q"]
["Convecção forçada - Cálculo do número de Nusselt (ar)","Nu"]
["Convecção livre - Cálculo do número de Nusselt (ar)","Nu"]
["Ponto de orvalho ","To"]
["Pressão atmosférica","p"]
["Radiação diária no topo da atmosfera (horizontal)","So"]
["Radiação emitida pelo corpo negro","Ebk"]
["Razão de mistura","r"]
["Taxa de variação de es com  T","D"]
["Temperatura virtual","Tv"]
["Temperatura do termómetro molhado (2 versões)","Tm"]
["Tensão de saturação do vapor de água ","es"]
["Tensão real de vapor de água (Eq. Psicrométrica)","ea"]
[]
["1) Calculador para o fator de correção (Cf) que afeta a evapotranspiração potencial não-ajustada (ETp') para que fique ajustada (ETp), segundo o método de Thornthwaite."]
[null,null,"Voltar ao Índice --->"]
[]
["Latitude do local (e.g., 38,7)","Janeiro","Fevereiro","Março","Abril ","Maio ","Junho","Julho ","Agosto ","Setembro ","Outubro","Novembro","Dezembro"]
[38,25.332441044241985,25.007910448784752,30.720137732788483,32.799176890752129,36.583364565557297,36.764479562818941,37.410346587900179,35.146034005559365,31.109667130936149,28.982088394922126,25.322359854091076,24.642473434816079]
[]
[]
[]
[]
[]
["2) Calculador da declinação do sol no dia do ano (DOY) indicado.  Pode-se entrar com frações do dia. (e. g., 21.5 é o meio dia de 22 Jan)."]
["Localização:"," ","Voltar ao Índice --->"]
["DOY:",100]
[]
["Declinação:",{"$f":"calcSolarDeclination(B43)","v":0.13274066898566184},"rad","=",{"$f":"B45*180/PI()","v":7.6054801026215255},"º"]
[]
[]
[]
[]
[]
["3) Equação do tempo. Calcula a diferença entre o o tempo solar verdadeiro e o tempo médio solar. "]
[null,"Pode-se entrar com frações do dia. (e. g., 21.5 é o meio dia de 22 Jan)."]
["Localização:",null,"Voltar ao Índice --->"]
["DOY:",100]
[]
["Equação do tempo:",{"$f":"calcEqOfTime(B54)","v":-2.7067613169968422E-2},"h","=",{"$f":"B56*60","v":-1.6240567901981053},"min"]
[]
[]
[]
[]
["4) Calculador: Hora do nascer/pôr do sol (geométrico, aparente, crepúsculo)/fotoperíodo (geométrico, aparente, crepúsculo)."]
[]
[]
[]
["Localização:","Observatório Astronómico de Lisboa"]
["Nascer/pôr do sol/fotoperíodo?","Nascer do sol","Voltar ao Índice --->"]
["Geométrico/aparente/crepúsculo civil?","Geométrico","Mais informação: https://www.esrl.noaa.gov/gmd/grad/solcalc/glossary.html"]
["DOY:",282]
["Latitude (e.g., 38,7)",38.710402000000002,"º"]
["Longitude (e.g., -9,1)",-9.186375,"º","    Longitude Meridiano Padrão",0,"º"]
["Nascer do Sol",6.3166480191949983," horas    (hora solar!)","=",6.7136501338293906,"h (UTC)","(Hora do próprio dia!)"]
[]
[]
["5) Calculador do ângulo zenital do sol"]
[]
[]
[]
["Localização:",null,"Voltar ao Índice --->"]
["DOY:",100]
["Latitude (e.g., 38,7)",38.700000000000003,"º"]
["Hora solar",16,"h     (hora solar!)"]
["Ângulo zenital",1.0820333649714535,"rad","=",{"$f":"B82*180/PI()","v":61.995945105202935},"º"]
[]
[]
[]
[]
["6) Calculador do azimute do sol",null,"Voltar ao Índice --->"]
[]
[]
[]
["Localização:"," "]
["DOY:",100]
["Latitude (e.g., 38,7)",38.700000000000003,"º"]
["Hora solar",12,"h   (hora solar!)"]
["Azimute do sol",0,"rad","=",{"$f":"B95*180/PI()","v":0},"º"]
[]
["7) Calculadores de Grandezas de Humidade do Ar",null,"Voltar ao Índice --->"]
["Atenção: Nestes calculadores, preencher sempre as células a começar da esquerda para a direita!"]
["Pressão atmosférica (p, Pa)","Altitude (m)"]
[{"$f":"101325*((293-0.0065*B100)/293)^5.25","v":79843.813234298999},2000]
[]
["Tensão de saturação do vapor de água (es, Pa)","Temperatura (T, ºC)","Voltar ao Índice --->"]
[{"$f":"calcSatVapPres(B103)*1000","v":2337.1004503114577},20]
[]
["Taxa de variação de es com  T (D, Pa/ºC)","Temperatura (ºC)","Voltar ao Índice --->"]
[{"$f":"calcSlope(B106)*1000","v":144.5},20]
[]
["Humidade absoluta (χ, g m-3)","Temperatura (ºC)","Tensão de vapor (e, Pa)","Voltar ao Índice --->","Informação:"]
[{"$f":"2.165*C109/(273.15+B109)","v":14.770595258400137},20,2000,null,"es=",{"$f":"calcSatVapPres(B109)*1000","v":2337.1004503114577},"Pa"]
[]
["Humidade específica (q, adimensional)","Tensão de vapor (e, Pa)","Pressão atmosférica (P, Pa)","Voltar ao Índice --->"]
[{"$f":"0.622*B112/((C112-B112)+0.622*B112)","v":1.2372692552514322E-2},2000,101300]
[]
["Razão de mistura (r, adimensional)","Tensão de vapor (e, Pa)","Pressão atmosférica (P, Pa)","Voltar ao Índice --->"]
[{"$f":"0.622*B115/(C115-B115)","v":1.2527693856998994E-2},2000,101300]
[]
["Temperatura do ponto de orvalho (To, ºC)","Tensão de vapor (e, Pa)","Voltar ao Índice --->"]
[{"$f":"237.3*((LN(B118/610.8)/17.27)/(1-(LN(B118/610.8)/17.27)))","v":17.500103171901262},2000]
[]
["Equação Psicrométrica"]
["Tensão real de vapor de água (ea, Pa)","Temp. do ar (= temp. termóm.seco)","Temp. termómetro molhado","Altitude (m)","Voltar ao Índice --->"]
[{"$f":"IF(B122<C122,\"Erro! T.ar<T. molhado\",calcEqPsicrom(B122,C122,D122)*1000)","v":2037.7685889543109},25,20,1000]
[]
["Temperatura virtual (Tv, ºC)","Temperatura (ºC)","Tensão de vapor (e, Pa)","Pressão atmosférica (P, Pa)","Voltar ao Índice --->","Informação:"]
[{"$f":"(273.15+B125)/(1-(1-0.622)*C125/D125)-273.15","v":21.097983591288312},20,1000,101300,null,"es=",{"$f":"calcSatVapPres(B125)*1000","v":2337.1004503114577},"Pa"]
[]
["Densidade do ar (r, kg m-3)","Temperatura (ºC)","Tensão de vapor (e, Pa)","Pressão atmosférica (P, Pa)","Voltar ao Índice --->","Informação:"]
[{"$f":"(C128*0.018+(D128-C128)*0.02897)/(8.3145*(273.15+B128))","v":1.1995143135715951},20,1000,101300,null,"es=",{"$f":"calcSatVapPres(B128)*1000","v":2337.1004503114577},"Pa"]
[]
["8) Outras propriedades do ar e água"]
[]
["Calor latente de vaporização da água (l, J kg-1)","Temperatura (ºC)","Voltar ao Índice --->"]
[{"$f":"calcLatHeatH2O(B133)*1000","v":2453760},20]
[]
["Constante Psicrométrica (g, Pa ºC-1)","Temperatura (ºC)","Altitude (m)","Voltar ao Índice --->"]
[{"$f":"calcPsycConst3(B136,C136)*1000","v":64.842752747370085},30,400]
[]
["9) Radiação emitida pelo corpo negro a determinada temperatura",null,"Voltar ao Índice --->"]
["Emitância do corpo negro (Ebk, W m-2)","Temperatura (ºC)",{"$f":"calcPotentialSolar2(110,50/180*PI())","v":36.500748485675871}]
[{"$f":"0.0000000567*(273.15+B140)^4","v":418.73826858531589},20]
[]
["10) Radiação diária no topo da atmosfera numa superfície plana e horizontal",null,"Voltar ao Índice --->"]
["Rad. diária no topo da atmosfera (So, MJ m-2 d-1)","DOY:","Latitude (e.g., 38,7)",null,"Equivalente de evaporação:"]
[{"$f":"calcPotentialSolar2(B144,C144)","v":32.665670191739501},110,50,"=",{"$f":"0.408*A144","v":13.327593438229716},"mm m-2 d-1"]
[]
[]
[]
[]
["11) Coeficientes de difusão molecular (DM, DH, DV, DC)"]
["Escolha na célula abaixo (B151) o coeficiente!",null,"Voltar ao Índice --->"]
["DM, DH, DV ou  DC ?","DM"]
["Temperatura do ar (ºC)",30,"ºC"]
["Pressão atmosférica (Pa)",101325,"Pa"]
[{"$f":"B151","v":"DM"},{"$f":"calcDifGasInAir(B151,B152,B153)","v":1.6012914209280319E-5},"m2 s-1"]
[]
["12) Cálculo  da temperatura do termómetro molhado (Tm, ºC) usando altitude, temperatura do ar e do ponto de orvalho"]
[null,null,"Voltar ao Índice --->"]
["Altitude (m):",680,"m"]
["Temperatura do ar (ºC):",22.1,"ºC"]
["Temperatura do ponto de orvalho (ºC):",14,"ºC"]
["Temperatura do termómetro molhado (Tm, ºC)",{"$f":"calcTw(B158, B159, B160)","v":16.881415052122705}]
[]
[]
["13) Cálculo  da temperatura do termómetro molhado (Tm, ºC) usando a pressão atmosférica, temperatura do ar e do ponto de orvalho"]
[null,null,"Voltar ao Índice --->"]
["Pressão atmosférica (Pa):",93670,"Pa"]
["Temperatura do ar (ºC):",22.1,"ºC"]
["Temperatura do ponto de orvalho (ºC):",14,"ºC"]
["Temperatura do termómetro molhado (Tm, ºC):",{"$f":"calcTw2(B166/1000, B167, B168)","v":16.8843143972794}]
[]
[]
["14) Convecção forçada - Cálculo do número de Nusselt para o ar"]
[]
[null,null,"--------->--------->-Info->--------->--------->"]
[]
["Escolher configuração do objeto:","Esfera","Voltar ao Índice --->"]
["Pressão atmosférica (Pa):",101325]
["Velocidade do ar (m/s):",1]
["Dimensão característica (m):",0.01]
["Temperatura da superfície (ºC):",25,"--------->--------->-Info->--------->--------->"]
["Temperatura do ar (ºC):",23]
["Número de Nusselt:",14.735642573269194,"Convecção forçada!"]
["Note que algumas equações são mais precisas do que as utilizadas no meu livro: \"Agrometeorologia: Aplicação da Meteorologia para Maximizar a Produção Agrícola\". 2018. Agrobook. Assim, os valores de Nu podem ser até cerca de 20% diferentes em alguns casos. "]
[]
[]
["14) Convecção livre (natural) - Cálculo do número de Nusselt para o ar"]
[]
[null,null,"Voltar ao Índice --->"]
[]
["Escolher configuração do objeto:","Placa plana horizontal 1"]
["Pressão atmosférica (Pa):",101325]
["Velocidade do ar (m/s):",0.2,"--------->--------->-Info->--------->--------->"]
["Dimensão característica (m):",0.2]
["Temperatura da superfície (ºC):",25]
["Temperatura do ar (ºC):",23]
["Humidade relativa do ar (0 - 1)",0.8,"--------->--------->-Info->--------->--------->"]
["Superfície molhada?","N"]
["Número de Nusselt:",19.041270406488643,"Convecção mista! O Nu para a c. forçada e livre deve ser combinados. Ver nota a seguir!"]
["Note que algumas equações são mais precisas do que as utilizadas no meu livro: \"Agrometeorologia: Aplicação da Meteorologia para Maximizar a Produção Agrícola\". 2018. Agrobook. Assim, os valores de Nu podem ser até cerca de 20% diferentes em alguns casos. "]
[]
[]
[]
["Nota:"]
["O nº de Nusselt combinado (Nucomb) deve ser estimado para cada caso particular, usando os valores calculados para a c. forçada e livre \"puras\". "]
["A forma  da equação será: "]
[]
["em que n costuma ser entre 3 e 4 para a maioria das configurações, e o sinal ± refere-se ao fato de os efeitos de ambos os modos de convecção"]
[" se potenciarem ou contrariarem."]

{"sheet":"Tabela1A_Es_T","index":2,"n_rows":53,"n_cols":11,"rows_kept":53,"cut":false,"hidden":false,"merged":[[0,0,0,10]]}
["Tabela 1A. Tensão de saturação do vapor de água, es [Pa] em função da temperatura [ºC]"]
["ºC",0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9]
[0,{"$f":"calcSatVapPres($A3+B$2)*1000","v":610.76740203233328},{"$f":"calcSatVapPres($A3+C$2)*1000","v":615.21822470776362},619.69778575405337,624.20624530735518,628.74376423174056,633.3105041287464,637.9066273343434,642.53229692707794,647.18767672789784,651.87293129712828]
[1,656.58822595238883,661.33372674890643,666.10960050437188,670.91601478709288,675.75313791715507,680.6211389835629,685.5201878303734,690.45045507328052,695.41211208604,700.40533101928543]
[2,705.43028479087161,710.48714709969647,715.57609241546186,720.69729599112111,725.85093385991922,731.03718284000593,736.25622053991094,741.5082253524854,746.79337647163186,752.11185387584487]
[3,757.46383834973517,762.84951147264121,768.26905563202581,773.72265401315815,779.21049061483393,784.73275024383759,790.28961852391103,795.88128188966459,801.50792759577905,807.16974371835636]
[4,812.86691915360291,818.59964362856169,824.36810769928343,830.17250274640799,836.01302099276995,841.88985549097333,847.80320013503444,853.75324966282756,859.74019965509513,865.76424654028835]
[5,871.82558759666506,877.92442095199453,884.06094559201983,890.23536135947506,896.4478689606949,902.69866995738244,908.98796678615133,915.31596274376295,921.682862003379,928.08886961260453]
[6,934.53419149039735,941.01903443893048,947.54360614002269,954.10811516367698,960.71277096440019,967.35778388676874,974.04336516695173,980.76972694042047,987.53708224010336,994.34564499531598]
[7,1001.1956300434359,1008.0872531262421,1015.0207308976558,1021.9962809192689,1029.0141216706497,1036.0744725479597,1043.1775538672964,1050.323586868089,1057.5127937121144,1064.7453974965042]
[8,1072.0216222462182,1079.3416929174148,1086.7058354070123,1094.114276549958,1101.5672441261534,1109.0649668572837,1116.6076744137572,1124.1955974216678,1131.8289674538864,1139.5080170440865]
[9,1147.232979685331,1155.0040898299974,1162.821582900302,1170.6856952784774,1178.5966643288509,1186.5547283804781,1194.5601267403799,1202.6130996952422,1210.7138885193258,1218.862735462895]
[10,1227.0598837720995,1235.3055776765132,1243.6000624077481,1251.9435841851277,1260.3363902335077,1268.7787287800522,1277.2708490533457,1285.813001293149,1294.405436750327,1303.0484076868786]
[11,1311.742167384316,1320.4869701446046,1329.2830712900998,1338.1307271679532,1347.0301951600559,1355.9817336716765,1364.9856021468072,1374.0420610699109,1383.1513719577499,1392.3137973783876]
[12,1401.5296009415924,1410.7990473070488,1420.1224021879129,1429.4999323525619,1438.9319056238016,1448.4185908936504,1457.9602581098902,1467.5571782886848,1477.2096235254141,1486.9178669739538]
[13,1496.6821828760117,1506.5028465494934,1516.3801343884384,1526.3143238811663,1536.3056935986222,1546.3545232055981,1556.4610934581819,1566.6256862110083,1576.8485844217819,1587.130072146909]
[14,1597.4704345518398,1607.8699579121956,1618.3289296155669,1628.8476381623798,1639.4263731743715,1650.0654253976386,1660.7650866992014,1671.5256500706348,1682.3474096436596,1693.2306606766131]
[15,1704.1756995685232,1715.1828238575392,1726.2523322236636,1737.3845244970223,1748.5797016535357,1759.838165822576,1771.1602202928143,1782.5461695047927,1793.996319073113,1805.5109757608143]
[16,{"$f":"calcSatVapPres($A19+B$2)*1000","v":1817.0904475148527},1828.7350434441789,1840.4450738373437,1852.2208501569023,1864.0626850471879,1875.9708923373635,1887.9457870464339,1899.9876853804358,1912.0969047389333,1924.2737637200546]
[17,1936.5185821179448,1948.8316809362227,1961.2133823776908,1973.6640098639564,1986.1838880171167,1998.773342686218,2011.4327009326844,2024.1622910453075,2036.9624425317884,2049.8334861341873]
[18,2062.7757538235296,2075.7895788087098,2088.8752955364871,2102.0332396924177,2115.2637482107293,2128.5671592689037,2141.9438123004015,2155.3940479937319,2168.9182082914958,2182.5166364031647]
[19,2196.1896767939547,2209.9376752032967,2223.7609786410731,2237.6599353923489,2251.6348950159886,2265.6862083553192,2279.8142275348546,2294.0193059688568,2308.3017983594409,2322.6620607094928]
[20,2337.1004503114577,2351.6173257640894,2366.2130469638773,2380.8879751260633,2395.6424727613271,2410.476903707533,2425.3916331121463,2440.3870274465985,2455.4634545082276,2470.6212834160724]
[21,2485.8608846264265,2501.1826299209638,2516.5868924307756,2532.0740466200564,2547.644468296332,2563.2985346183609,2579.0366240929175,2594.8591165873531,2610.7663933190033,2626.7588368703132]
[22,2642.8368311900012,2659.0007615898535,2675.2510147602279,2691.5879787565291,2708.0120430182774,2724.5235983722246,2741.1230370204312,2757.8107525558121,2774.5871399660564,2791.4525956353168]
[23,2808.4075173414649,2825.4523042684818,2842.587357006505,2859.8130775518548,2877.1298693165454,2894.538137127488,2912.0382872291807,2929.6307272964636,2947.3158664179227,2965.0941151260067]
[24,2982.9658853805613,3000.9315905764538,3018.9916455475295,3037.1464665843228,3055.3964714093336,3073.7420792076227,3092.1837106079629,3110.7217877104254,3129.3567340637942,3148.0889746909988]
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["Tabela 2A. Declive da curva da tensão de saturação verso temperatura (D), calor latente de vaporização da água (l) e constante psicrométrica à pressão atmos férica normal (101,3 kPa)"]
[]
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["[ºC]","[Pa ºC-1]","[J g-1]","[Pa ºC-1]",null,"[ºC]","[Pa ºC-1]","[J g-1]","[Pa ºC-1]"]
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