#include #include "Atmosphere.hpp" #include "Math.hpp" #include "Propeller.hpp" namespace yasim { Propeller::Propeller(float radius, float v, float omega, float rho, float power) { // Initialize numeric constants: _lambdaPeak = Math::pow(5.0, -1.0/4.0); _beta = 1.0f/(Math::pow(5.0f, -1.0f/4.0f) - Math::pow(5.0f, -5.0f/4.0f)); _r = radius; _etaC = 0.85f; // make this settable? _j0 = v/(omega*_lambdaPeak); _baseJ0 = _j0; float V2 = v*v + (_r*omega)*(_r*omega); _f0 = 2*_etaC*power/(rho*v*V2); _matchTakeoff = false; _manual = false; _proppitch = 0; } void Propeller::setTakeoff(float omega0, float power0) { // Takeoff thrust coefficient at lambda==0 _matchTakeoff = true; float V2 = _r*omega0 * _r*omega0; float gamma = _etaC * _beta / _j0; float torque = power0 / omega0; float density = Atmosphere::getStdDensity(0); _tc0 = (torque * gamma) / (0.5f * density * V2 * _f0); } void Propeller::modPitch(float mod) { _j0 *= mod; if(_j0 < 0.25f*_baseJ0) _j0 = 0.25f*_baseJ0; if(_j0 > 4*_baseJ0) _j0 = 4*_baseJ0; } void Propeller::setManualPitch() { _manual = true; } void Propeller::setPropPitch(float proppitch) { // makes only positive range of axis effective. _proppitch = Math::clamp(proppitch, 0, 1); } void Propeller::calc(float density, float v, float omega, float* thrustOut, float* torqueOut) { // For manual pitch, exponentially modulate the J0 value between // 0.25 and 4. A prop pitch of 0.5 results in no change from the // base value. if (_manual) _j0 = _baseJ0 * Math::pow(2, 2 - 4*_proppitch); float tipspd = _r*omega; float V2 = v*v + tipspd*tipspd; // Sanify if(v < 0) v = 0; if(omega < 0.001) omega = 0.001; float J = v/omega; // Advance ratio float lambda = J/_j0; // Unitless scalar advance ratio // There's an undefined point at lambda == 1. if(lambda == 1.0f) lambda = 0.9999f; float l4 = lambda*lambda; l4 = l4*l4; // lambda^4 float gamma = (_etaC*_beta/_j0)*(1-l4); // thrust/torque ratio // Compute a thrust coefficient, with clamping at very low // lambdas (fast propeller / slow aircraft). float tc = (1 - lambda) / (1 - _lambdaPeak); if(_matchTakeoff && tc > _tc0) tc = _tc0; float thrust = 0.5f * density * V2 * _f0 * tc; float torque = thrust/gamma; if(lambda > 1) { // This is the negative thrust / windmilling regime. Throw // out the efficiency graph approach and instead simply // extrapolate the existing linear thrust coefficient and a // torque coefficient that crosses the axis at a preset // windmilling speed. The tau0 value is an analytically // calculated (i.e. don't mess with it) value for a torque // coefficient at lamda==1. float tau0 = (0.25f * _j0) / (_etaC * _beta * (1 - _lambdaPeak)); float lambdaWM = 1.2f; // lambda of zero torque (windmilling) torque = tau0 - tau0 * (lambda - 1) / (lambdaWM - 1); torque *= 0.5f * density * V2 * _f0; } *thrustOut = thrust; *torqueOut = torque; } }; // namespace yasim