马赫数相关函数

1 函数

k是常数，Ma是变量

2应用程序

c语言代码+qt界面代码+应用程序

3 计算

3.1 c语言

#define _CRT_SECURE_NO_WARNINGS
#include 
#include 

#define k 1.4  // k为常数

// 定义的函数
double T(double Ma) {
    return pow((1 + (k - 1) / 2 * Ma * Ma), -1);
}

double Pi(double Ma) {
    return pow((1 + (k - 1) / 2 * Ma * Ma), -k / (k - 1));
}

double E(double Ma) {
    return pow((1 + (k - 1) / 2 * Ma * Ma), -1 / (k - 1));
}

double lambda(double Ma) {
    return Ma * sqrt((k + 1) / (2 + (k - 1) * Ma * Ma));
}

double q(double lambda) {
    return pow(((k + 1) / 2), 1 / (k - 1)) * lambda * pow((1 - (k - 1) / (k + 1) * lambda * lambda), 1 / (k - 1));
}

double Y(double lambda_val) {
    return q(lambda_val) / Pi(lambda_val);
}

double Z(double lambda) {
    return lambda + 1 / lambda;
}

double f(double lambda) {
    return pow((2 / (k + 1)), 1 / (k - 1)) * q(lambda) * Z(lambda);
}

double R(double lambda) {
    return Pi(lambda) / f(lambda);
}

int main() {
    double Ma;
    printf("请输入Ma值: ");
    scanf("%lf", &Ma);

    printf("\nT(Ma) = %f\n", T(Ma));
    printf("Π(Ma) = %f\n", Pi(Ma));
    printf("E(Ma) = %f\n", E(Ma));
    double lambda_val = lambda(Ma);
    printf("λ = %f\n", lambda_val);
    printf("q(λ) = %f\n", q(lambda_val));
    printf("Y(λ) = %f\n", Y(lambda_val));
    printf("Z(λ) = %f\n", Z(lambda_val));
    printf("f(λ) = %f\n", f(lambda_val));
    printf("R(λ) = %f\n", R(lambda_val));

    return 0;
}