{"text_format":"3","workbook":"xlsx","n_sheets":4,"sheets":["Título","Calculadores","Tabela1A_Es_T","Tabela2A_Slope_Lamb_PsicConst"],"not_rendered":{"images":3,"macros":1,"defined_names":18,"comments":1},"read":"whole","date_system":"1900"}

{"sheet":"Título","index":0,"n_rows":0,"n_cols":0,"rows_kept":0}

{"sheet":"Calculadores","index":1,"n_rows":208,"n_cols":28,"rows_kept":208,"merged":[[2,3,2,5],[2,6,2,8],[3,0,3,1],[119,0,119,2],[149,0,149,1],[181,2,182,3],[182,0,183,1],[197,2,198,3],[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\"!",{"$nulls":26},"Ângulo da placa com a vertical (º)"]
["O resultado aparece nas células a vermelho. Informação ou o mesmo cálculo, mas com outras unidades, pode aparecer em células a roxo.",{"$nulls":25},"     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,{"v":25.332441044241985,"d":"25.3"},{"v":25.007910448784752,"d":"25.0"},{"v":30.720137732788483,"d":"30.7"},{"v":32.79917689075213,"d":"32.8"},{"v":36.5833645655573,"d":"36.6"},{"v":36.76447956281894,"d":"36.8"},{"v":37.41034658790018,"d":"37.4"},{"v":35.146034005559365,"d":"35.1"},{"v":31.10966713093615,"d":"31.1"},{"v":28.982088394922126,"d":"29.0"},{"v":25.322359854091076,"d":"25.3"},{"v":24.64247343481608,"d":"24.6"}]
[]
[]
[]
[]
[]
["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:",{"$f":"calcSolarDeclination(B43)","v":{"v":0.13274066898566184,"d":"0.13"}},"rad","=",{"$f":"B45*180/PI()","v":{"v":7.6054801026215255,"d":"7.61"}},"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:",{"$f":"calcEqOfTime(B54)","v":{"v":-0.027067613169968422,"d":"-0.027"}},"h","=",{"$f":"B56*60","v":{"v":-1.6240567901981053,"d":"-1.62"}},"min"]
[]
[]
[]
[]
["4) Calculador: Hora do nascer/pôr do sol (geométrico, aparente, crepúsculo)/fotoperíodo (geométrico, aparente, crepúsculo)."]
[]
[]
[]
["Localização:","Los Angeles"]
["Nascer/pôr do sol/fotoperíodo?","Pôr do sol","Voltar ao Índice --->"]
["Geométrico/aparente/crepúsculo civil?","Aparente"]
["DOY:",212]
["Latitude (e.g., 38,7)",{"$f":"34+3/60","v":34.05},"º"]
["Longitude (e.g., -9,1)",{"$f":"-(118+13/60+59/3600)","v":-118.23305555555555},"º","    Longitude Meridiano Padrão",-120,"º"]
["Nascer do Sol",{"v":5.0712347933939075,"d":"5.07"}," horas    (hora solar!)","=",{"v":13.062575133303922,"d":"13.06"},"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)",38.7,"º"]
["Hora solar",16,"h     (hora solar!)"]
["Ângulo zenital",{"v":1.0820333649714535,"d":"1.08"},"rad","=",{"$f":"B82*180/PI()","v":{"v":61.995945105202935,"d":"62.00"}},"º"]
[]
[]
[]
[]
["6) Calculador do azimute do sol",null,"Voltar ao Índice --->"]
[]
[]
[]
["Localização:"," "]
["DOY:",100]
["Latitude (e.g., 38,7)",50,"º"]
["Hora solar",12,"h   (hora solar!)"]
["Azimute do sol",0,"rad","=",{"$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)"]
[{"$f":"101325*((293-0.0065*B100)/293)^5.25","v":{"v":79843.813234299,"d":"79843.8"}},2000]
[]
["Tensão de saturação do vapor de água (es, Pa)","Temperatura (T, ºC)","Voltar ao Índice --->"]
[{"$f":"calcSatVapPres(B103)*1000","v":{"v":2337.1004503114577,"d":"2337.1"}},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":{"v":14.770595258400137,"d":"14.77"}},20,2000,null,"es=",{"$f":"calcSatVapPres(B109)*1000","v":{"v":2337.1004503114577,"d":"2337.1"}},"Pa"]
[]
["Humidade específica (q, adimensional)","Tensão de vapor (e, Pa)","Pressão atmosférica (P, Pa)","Voltar ao Índice --->"]
[{"$f":"0.622*B112/((C112-B112)+0.622*B112)","v":{"v":0.012372692552514322,"d":"0.01237"}},2000,{"v":101300,"d":"1.013E+05"}]
[]
["Razão de mistura (r, adimensional)","Tensão de vapor (e, Pa)","Pressão atmosférica (P, Pa)","Voltar ao Índice --->"]
[{"$f":"0.622*B115/(C115-B115)","v":{"v":0.012527693856998994,"d":"0.01253"}},2000,{"v":101300,"d":"1.013E+05"}]
[]
["Temperatura do ponto de orvalho (To, ºC)","Tensão de vapor (e, Pa)","Voltar ao Índice --->"]
[{"$f":"237.3*((LN(B118/610.8)/17.27)/(1-(LN(B118/610.8)/17.27)))","v":{"v":17.500103171901262,"d":"17.5"}},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 --->"]
[{"$f":"IF(B122<C122,\"Erro! T.ar<T. molhado\",calcEqPsicrom(B122,C122,D122)*1000)","v":{"v":2037.7685889543109,"d":"2037.8"}},25,20,1000]
[]
["Temperatura virtual (Tv, ºC)","Temperatura (ºC)","Tensão de vapor (e, Pa)","Pressão atmosférica (P, Pa)","Voltar ao Índice --->","Informação:"]
[{"$f":"(273.15+B125)/(1-(1-0.622)*C125/D125)-273.15","v":{"v":21.097983591288312,"d":"21.1"}},20,1000,{"v":101300,"d":"1.013E+05"},null,"es=",{"$f":"calcSatVapPres(B125)*1000","v":{"v":2337.1004503114577,"d":"2337.1"}},"Pa"]
[]
["Densidade do ar (r, kg m-3)","Temperatura (ºC)","Tensão de vapor (e, Pa)","Pressão atmosférica (P, Pa)","Voltar ao Índice --->","Informação:"]
[{"$f":"(C128*0.018+(D128-C128)*0.02897)/(8.3145*(273.15+B128))","v":{"v":1.199514313571595,"d":"1.200"}},20,{"v":1000,"d":"1000.0"},{"v":101300,"d":"1.013E+05"},null,"es=",{"$f":"calcSatVapPres(B128)*1000","v":{"v":2337.1004503114577,"d":"2337.1"}},"Pa"]
[]
["8) Outras propriedades do ar e água"]
[]
["Calor latente de vaporização da água (l, J kg-1)","Temperatura (ºC)","Voltar ao Índice --->"]
[{"$f":"calcLatHeatH2O(B133)*1000","v":{"v":2453760,"d":"2,453,760"}},20]
[]
["Constante Psicrométrica (g, Pa ºC-1)","Temperatura (ºC)","Altitude (m)","Voltar ao Índice --->"]
[{"$f":"calcPsycConst3(B136,C136)*1000","v":{"v":64.84275274737008,"d":"64.84"}},30,400]
[]
["9) Radiação emitida pelo corpo negro a determinada temperatura",null,"Voltar ao Índice --->"]
["Emitância do corpo negro (Ebk, W m-2)","Temperatura (ºC)"]
[{"$f":"0.0000000567*(273.15+B140)^4","v":{"v":418.7382685853159,"d":"419"}},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:"]
[{"$f":"calcPotentialSolar2(B144,C144)","v":{"v":32.6656701917395,"d":"32.67"}},110,50,"=",{"$f":"0.408*A144","v":{"v":13.327593438229716,"d":"13.33"}},"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":{"v":1.6012914209280319E-5,"d":"1.60E-05"}},"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):",{"v":22.1,"d":"22.10"},"ºC"]
["Temperatura do ponto de orvalho (ºC):",{"v":14,"d":"14.00"},"ºC"]
["Temperatura do termómetro molhado (Tm, ºC)",{"$f":"calcTw(B158, B159, B160)","v":{"v":16.881415052122705,"d":"16.88"}}]
[]
[]
["13) Cálculo  da temperatura do termómetro molhado (Tm, ºC) usando a pressão atmosférica, temperatura do ar e do ponto de orvalho"]
[null,null,"Voltar ao Índice --->"]
["Pressão atmosférica (Pa):",93670,"Pa"]
["Temperatura do ar (ºC):",{"v":22.1,"d":"22.10"},"ºC"]
["Temperatura do ponto de orvalho (ºC):",{"v":14,"d":"14.00"},"ºC"]
["Temperatura do termómetro molhado (Tm, ºC):",{"$f":"calcTw2(B166/1000, B167, B168)","v":{"v":16.8843143972794,"d":"16.88"}}]
[]
[]
["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):",{"v":101325,"d":"101325.00"}]
["Velocidade do ar (m/s):",{"v":1,"d":"1.00"}]
["Dimensão característica (m):",0.01]
["Temperatura da superfície (ºC):",{"v":25,"d":"25.00"},"--------->--------->-Info->--------->--------->"]
["Temperatura do ar (ºC):",{"v":23,"d":"23.00"}]
["Número de Nusselt:",{"v":14.735642573269194,"d":"14.736"},"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):",{"v":101325,"d":"101325.00"}]
["Velocidade do ar (m/s):",{"v":0.2,"d":"0.20"},"--------->--------->-Info->--------->--------->"]
["Dimensão característica (m):",{"v":0.2,"d":"0.20"}]
["Temperatura da superfície (ºC):",{"v":25,"d":"25.00"}]
["Temperatura do ar (ºC):",{"v":23,"d":"23.00"}]
["Humidade relativa do ar (0 - 1)",{"v":0.8,"d":"0.80"},"--------->--------->-Info->--------->--------->"]
["Superfície molhada?","N"]
["Número de Nusselt:",{"v":19.041270406488643,"d":"19.041"},"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,"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$2)*1000","v":{"v":610.7674020323333,"d":"611"}},{"$f":"calcSatVapPres($A3+C$2)*1000","v":{"v":615.2182247077636,"d":"615"}},{"v":619.6977857540534,"d":"620"},{"v":624.2062453073552,"d":"624"},{"v":628.7437642317406,"d":"629"},{"v":633.3105041287464,"d":"633"},{"v":637.9066273343434,"d":"638"},{"v":642.5322969270779,"d":"643"},{"v":647.1876767278978,"d":"647"},{"v":651.8729312971283,"d":"652"}]
[1,{"v":656.5882259523888,"d":"657"},{"v":661.3337267489064,"d":"661"},{"v":666.1096005043719,"d":"666"},{"v":670.9160147870929,"d":"671"},{"v":675.7531379171551,"d":"676"},{"v":680.6211389835629,"d":"681"},{"v":685.5201878303734,"d":"686"},{"v":690.4504550732805,"d":"690"},{"v":695.41211208604,"d":"695"},{"v":700.4053310192854,"d":"700"}]
[2,{"v":705.4302847908716,"d":"705"},{"v":710.4871470996965,"d":"710"},{"$error":"#VALUE!"},{"v":720.6972959911211,"d":"721"},{"v":725.8509338599192,"d":"726"},{"v":731.0371828400059,"d":"731"},{"v":736.2562205399109,"d":"736"},{"v":741.5082253524854,"d":"742"},{"v":746.7933764716319,"d":"747"},{"v":752.1118538758449,"d":"752"}]
[3,{"v":757.4638383497352,"d":"757"},{"v":762.8495114726412,"d":"763"},{"v":768.2690556320258,"d":"768"},{"v":773.7226540131581,"d":"774"},{"v":779.2104906148339,"d":"779"},{"v":784.7327502438376,"d":"785"},{"v":790.289618523911,"d":"790"},{"v":795.8812818896646,"d":"796"},{"v":801.507927595779,"d":"802"},{"v":807.1697437183564,"d":"807"}]
[4,{"v":812.8669191536029,"d":"813"},{"v":818.5996436285617,"d":"819"},{"v":824.3681076992834,"d":"824"},{"v":830.172502746408,"d":"830"},{"v":836.01302099277,"d":"836"},{"v":841.8898554909733,"d":"842"},{"v":847.8032001350344,"d":"848"},{"v":853.7532496628276,"d":"854"},{"v":859.7401996550951,"d":"860"},{"v":865.7642465402884,"d":"866"}]
[5,{"v":871.8255875966651,"d":"872"},{"v":877.9244209519945,"d":"878"},{"v":884.0609455920198,"d":"884"},{"v":890.2353613594751,"d":"890"},{"v":896.4478689606949,"d":"896"},{"v":902.6986699573824,"d":"903"},{"v":908.9879667861513,"d":"909"},{"v":915.315962743763,"d":"915"},{"v":921.682862003379,"d":"922"},{"v":928.0888696126045,"d":"928"}]
[6,{"v":934.5341914903973,"d":"935"},{"v":941.0190344389305,"d":"941"},{"v":947.5436061400227,"d":"948"},{"v":954.108115163677,"d":"954"},{"v":960.7127709644002,"d":"961"},{"v":967.3577838867687,"d":"967"},{"v":974.0433651669517,"d":"974"},{"v":980.7697269404205,"d":"981"},{"v":987.5370822401034,"d":"988"},{"v":994.345644995316,"d":"994"}]
[7,{"v":1001.1956300434359,"d":"1001"},{"v":1008.0872531262421,"d":"1008"},{"v":1015.0207308976558,"d":"1015"},{"v":1021.9962809192689,"d":"1022"},{"v":1029.0141216706497,"d":"1029"},{"v":1036.0744725479597,"d":"1036"},{"v":1043.1775538672964,"d":"1043"},{"v":1050.323586868089,"d":"1050"},{"v":1057.5127937121144,"d":"1058"},{"v":1064.7453974965042,"d":"1065"}]
[8,{"v":1072.0216222462182,"d":"1072"},{"v":1079.3416929174148,"d":"1079"},{"v":1086.7058354070123,"d":"1087"},{"v":1094.114276549958,"d":"1094"},{"v":1101.5672441261534,"d":"1102"},{"v":1109.0649668572837,"d":"1109"},{"v":1116.6076744137572,"d":"1117"},{"v":1124.1955974216678,"d":"1124"},{"v":1131.8289674538864,"d":"1132"},{"v":1139.5080170440865,"d":"1140"}]
[9,{"v":1147.232979685331,"d":"1147"},{"v":1155.0040898299974,"d":"1155"},{"v":1162.821582900302,"d":"1163"},{"v":1170.6856952784774,"d":"1171"},{"v":1178.596664328851,"d":"1179"},{"v":1186.554728380478,"d":"1187"},{"v":1194.56012674038,"d":"1195"},{"v":1202.6130996952422,"d":"1203"},{"v":1210.7138885193258,"d":"1211"},{"v":1218.862735462895,"d":"1219"}]
[10,{"v":1227.0598837720995,"d":"1227"},{"v":1235.3055776765132,"d":"1235"},{"v":1243.600062407748,"d":"1244"},{"v":1251.9435841851277,"d":"1252"},{"v":1260.3363902335077,"d":"1260"},{"v":1268.7787287800522,"d":"1269"},{"v":1277.2708490533457,"d":"1277"},{"v":1285.813001293149,"d":"1286"},{"v":1294.405436750327,"d":"1294"},{"v":1303.0484076868786,"d":"1303"}]
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{"sheet":"Tabela2A_Slope_Lamb_PsicConst","index":3,"n_rows":30,"n_cols":9,"rows_kept":30,"merged":[[0,0,1,8]]}
["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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