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气动函数计算代码（网页）

王洪伟

1年前浏览4773

这是常用的一些基本气动函数的计算代码，可以代替查气动函数表，把这些代码拷贝粘贴到文本编辑器，另存为html文件，之后用浏览器打开即可。

对于每个气动函数计算，输入已知，点击“计算”，就可以得到结果。

<!DOCTYPE HTML>

<html>

<head>

div {

margin: 20px;

}

input {

margin-left: 5px;

width: 70px;

}

.left {

position: fixed;

top: 100px;

left: 20px;

}

.right {

position: fixed;

top: 100px;

left: 700px;

}

</style>

</head>

<body>

<h2>气体动力学参数计算1 —— 基本关系式</h2>

<b>Ma -> lambda:</b>

<b>lambda -> Ma:</b>

<b>(T_t, T_s) -> lambda:</b>

</span>

<b>(p_t, p_s) -> lambda:</b>

<b>T_ratio -> p_ratio:</b>

<b>T_ratio -> rho_ratio:</b>

<b>rho_ratio -> T_ratio:</b>

<b>p_ratio -> T_ratio:</b>

<b>lambda -> q_lambda:</b>

<b>q_lambda -> lambda:</b>

</span>

window.onload = function() {

document.getElementById("c01-btn").onclick = function() {

let c01_gama = Number(document.getElementById("c01-gama").value);

let c01_ma = Number(document.getElementById("c01-ma").value);

let c01_result = ma2Lambda(c01_ma, c01_gama);

document.getElementById("c01-lambda").value = c01_result;

}

document.getElementById("c02-btn").onclick = function() {

let c02_gama = Number(document.getElementById("c02-gama").value);

let c02_lambda = Number(document.getElementById("c02-lambda").value);

let c02_result = lambda2Ma(c02_lambda, c02_gama);

document.getElementById("c02-ma").value = c02_result;

}

document.getElementById("c03-btn").onclick = function() {

let c03_gama = Number(document.getElementById("c03-gama").value);

let c03_ts = Number(document.getElementById("c03-ts").value);

let c03_ma = Number(document.getElementById("c03-ma").value);

let c03_result = tsMa2Tt(c03_ts, c03_ma, c03_gama);

document.getElementById("c03-tt").value = c03_result;

}

document.getElementById("c04-btn").onclick = function() {

let c04_gama = Number(document.getElementById("c04-gama").value);

let c04_tt = Number(document.getElementById("c04-tt").value);

let c04_ma = Number(document.getElementById("c04-ma").value);

let c04_result = ttMa2Ts(c04_tt, c04_ma, c04_gama);

document.getElementById("c04-ts").value = c04_result;

}

document.getElementById("c05-btn").onclick = function() {

let c05_gama = Number(document.getElementById("c05-gama").value);

let c05_tt = Number(document.getElementById("c05-tt").value);

let c05_ts = Number(document.getElementById("c05-ts").value);

let c05_result = ttTs2Ma(c05_tt, c05_ts, c05_gama);

document.getElementById("c05-ma").value = c05_result;

}

document.getElementById("c06-btn").onclick = function() {

let c06_gama = Number(document.getElementById("c06-gama").value);

let c06_tt = Number(document.getElementById("c06-tt").value);

let c06_ts = Number(document.getElementById("c06-ts").value);

let c06_result = ttTs2Lambda(c06_tt, c06_ts, c06_gama);

document.getElementById("c06-lambda").value = c06_result;

}

document.getElementById("c07-btn").onclick = function() {

let c07_gama = Number(document.getElementById("c07-gama").value);

let c07_ps = Number(document.getElementById("c07-ps").value);

let c07_ma = Number(document.getElementById("c07-ma").value);

let c07_result = psMa2Pt(c07_ps, c07_ma, c07_gama);

document.getElementById("c07-pt").value = c07_result;

}

document.getElementById("c08-btn").onclick = function() {

let c08_gama = Number(document.getElementById("c08-gama").value);

let c08_pt = Number(document.getElementById("c08-pt").value);

let c08_ma = Number(document.getElementById("c08-ma").value);

let c08_result = ptMa2Ps(c08_pt, c08_ma, c08_gama);

document.getElementById("c08-ps").value = c08_result;

}

document.getElementById("c09-btn").onclick = function() {

let c09_gama = Number(document.getElementById("c09-gama").value);

let c09_pt = Number(document.getElementById("c09-pt").value);

let c09_ps = Number(document.getElementById("c09-ps").value);

let c09_result = ptPs2Ma(c09_pt, c09_ps, c09_gama);

document.getElementById("c09-ma").value = c09_result;

}

document.getElementById("c10-btn").onclick = function() {

let c10_gama = Number(document.getElementById("c10-gama").value);

let c10_pt = Number(document.getElementById("c10-pt").value);

let c10_ps = Number(document.getElementById("c10-ps").value);

let c10_result = ptPs2Lambda(c10_pt, c10_ps, c10_gama);

document.getElementById("c10-lambda").value = c10_result;

}

document.getElementById("c11-btn").onclick = function() {

let c11_gama = Number(document.getElementById("c11-gama").value);

let c11_tRatio = Number(document.getElementById("c11-tRatio").value);

let c11_result = tRatio2pRatio(c11_tRatio, c11_gama);

document.getElementById("c11-pRatio").value = c11_result;

}

document.getElementById("c12-btn").onclick = function() {

let c12_gama = Number(document.getElementById("c12-gama").value);

let c12_tRatio = Number(document.getElementById("c12-tRatio").value);

let c12_result = tRatio2rhoRatio(c12_tRatio, c12_gama);

document.getElementById("c12-rhoRatio").value = c12_result;

}

document.getElementById("c13-btn").onclick = function() {

let c13_gama = Number(document.getElementById("c13-gama").value);

let c13_rhoRatio = Number(document.getElementById("c13-rhoRatio").value);

let c13_result = rhoRatio2tRatio(c13_rhoRatio, c13_gama);

document.getElementById("c13-tRatio").value = c13_result;

}

document.getElementById("c14-btn").onclick = function() {

let c14_gama = Number(document.getElementById("c14-gama").value);

let c14_pRatio = Number(document.getElementById("c14-pRatio").value);

let c14_result = pRatio2tRatio(c14_pRatio, c14_gama);

document.getElementById("c14-tRatio").value = c14_result;

}

document.getElementById("c15-btn").onclick = function() {

let c15_gama = Number(document.getElementById("c15-gama").value);

let c15_lambda = Number(document.getElementById("c15-lambda").value);

let c15_result = lambda2Qlambda(c15_lambda, c15_gama);

document.getElementById("c15-qLambda").value = c15_result;

}

document.getElementById("c16-btn").onclick = function() {

let c16_gama = Number(document.getElementById("c16-gama").value);

let c16_qLambda = Number(document.getElementById("c16-qLambda").value);

let c16_result = qLambda2Lambda(c16_qLambda, c16_gama);

document.getElementById("c16-lambdaA").value = c16_result[0];

document.getElementById("c16-lambdaB").value = c16_result[1];

}

// Ma -> lambda

function ma2Lambda(ma, G=1.4) {

return Math.sqrt((G+1)/2*ma*ma/(1+(G-1)/2*ma*ma));

}

// lambda -> Ma

function lambda2Ma(lambda, G=1.4) {

return Math.sqrt(2/(G+1)*lambda*lambda/(1-(G-1)/(G+1)*lambda*lambda));

}

// T_s, Ma -> T_t

function tsMa2Tt(ts, ma, G=1.4) {

return ts*(1+(G-1)/2*ma*ma);

}

// T_t, Ma -> T_s

function ttMa2Ts(tt, ma, G=1.4) {

return tt/(1+(G-1)/2*ma*ma);

}

// T_t, T_s -> Ma

function ttTs2Ma(tt, ts, G=1.4) {

return Math.sqrt((tt/ts-1)*(2/(G-1)));

}

// T_t, T_s -> lambda

function ttTs2Lambda(tt, ts, G=1.4) {

return Math.sqrt((1-ts/tt)*(G+1)/(G-1));

}

// p_s, Ma -> p_t

function psMa2Pt(ps, ma, G=1.4) {

return ps*(1+(G-1)/2*ma*ma)**(G/(G-1));

}

// p_t, Ma -> p_s

function ptMa2Ps(pt, ma, G=1.4) {

return pt/(1+(G-1)/2*ma*ma)**(G/(G-1));

}

// p_t, p_s -> Ma

function ptPs2Ma(pt, ps, G=1.4) {

return Math.sqrt(((pt/ps)**((G-1)/G)-1)*2/(G-1));

}

// p_t, p_s -> lambda

function ptPs2Lambda(pt, ps, G=1.4) {

return Math.sqrt((1-(ps/pt)**((G-1)/G))*(G+1)/(G-1));

}

// T_ratio -> p_ratio

function tRatio2pRatio(tRatio, G=1.4) {

return tRatio**(G/(G-1));

}

// T_ratio -> rho_ratio

function tRatio2rhoRatio(tRatio, G=1.4) {

return tRatio**(1/(G-1));

}

// rho_ratio -> T_ratio

function rhoRatio2tRatio(rhoRatio, G=1.4) {

return rhoRatio**(G-1);

}

// p_ratio -> T_ratio

function pRatio2tRatio(pRatio, G=1.4) {

return pRatio**((G-1)/G);

}

// lambda -> q_lambda

function lambda2Qlambda(lambda, G=1.4) {

return ((G+1)/2)**(1/(G-1))*lambda*(1-(G-1)/(G+1)*lambda*lambda)**(1/(G-1));

}

// q_lambda -> lambda

function qLambda2Lambda(qLambda, G=1.4) {

// bisection method

if (qLambda>1) { return NaN; }

lambdaA = bisecQ(0, 1); // subsonic value

lambdaB = bisecQ(1, Math.sqrt((G+1)/(G-1))); // supersonic value

return [lambdaA, lambdaB];

function bisecQ(lambda1, lambda2) {

const N = 200, Err = 1e-8;

let lambdai, qLambdai;

let qLambda1 = ((G+1)/2)**(1/(G-1))*lambda1*(1-(G-1)/(G+1)*lambda1*lambda1)**(1/(G-1));

let qLambda2 = ((G+1)/2)**(1/(G-1))*lambda2*(1-(G-1)/(G+1)*lambda2*lambda2)**(1/(G-1));

for (let i=0; i<N; i++) {

lambdai = (lambda1+lambda2)/2;

qLambdai = ((G+1)/2)**(1/(G-1))*lambdai*(1-(G-1)/(G+1)*lambdai*lambdai)**(1/(G-1));

if ((qLambda1-qLambda)*(qLambdai-qLambda)>0) {

lambda1 = lambdai;

} else {

lambda2 = lambdai;

}

if (Math.abs(lambda1-lambda2)<=Err) {

break;

}

return lambdai;

}

</script>

</body>

</html>

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首次发布时间：2023-01-30