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function TurkeyLayer( name, percentRadius, turkeyModel, ovenModel ){
var that = this;
this.name = name;
this.percentRadius=percentRadius;
this.initialTemp = 20;
this.waterLost = 0;
this.finalTemperature = 20;
this.cookCondition = "Raw";
return {
updateTemperatureTick: function(){
that.finalTemperature = UtilityFunctions.transientSphereSeries( turkeyModel.density,
turkeyModel.thermalConduct,
turkeyModel.heatConvection,
turkeyModel.cp,
percentRadius * turkeyModel.totalRadius,
turkeyModel.totalRadius,
that.initialTemp,
ovenModel.steadyTemp,
ovenModel.globalTime );
that.waterLost = that.waterLost + UtilityFunctions.waterLoss( that.finalTemperature );
that.cookCondition = UtilityFunctions.cookCondition(that.waterLost);
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if(DEBUG) console.log( that.name + ": "+ that.waterLost + " " + that.cookCondition);
},
resetLayerTemps: function(){
that.initialTemp = that.finalTemperature;
},
getCondition: function(){
return that.cookCondition;
},
getTemperature: function(){
return that.finalTemperature;
}
}
}
function TurkeyModel( weight, ovenModel ){
this.density = 1050; // kg/m3 Assuming Density of Water 1000 kg/m3
this.cp = 2000; // 2810 J/kg K for Turkey. Extra is to semi-account for water evaporation energy
this.heatConvection = 9; // W/m2 K Some Reasonable estimate for natural Convection. Change as needed. 5-25
this.thermalConduct = 0.412; // W/m K // Chicken
this.skin = {};
this.body = {};
this.core = {};
this.totalRadius = UtilityFunctions.calculateRadius( weight, this.density );
this.totalLayers = [ new TurkeyLayer("Skin", 0.85, this, ovenModel ),
new TurkeyLayer("Body", 0.45, this, ovenModel ),
new TurkeyLayer("Core", 0.01, this, ovenModel ) ];
// Whenever temperature is changed
this.updateLayerTemps = function(){
for (var i in this.totalLayers ){
this.totalLayers[i].updateTemperatureTick();
}
};
this.resetLayerTemps = function(){
for (var i in this.totalLayers ){
this.totalLayers[i].resetLayerTemps();
}
};
}
function OvenModel( turkeyWeight, gameState ) {
var that = this;
this.tempInfini=20; //C
this.setTemp = 20;
this.steadyTemp = 20;
this.steadyTimer = 0;
this.globalTime = 0;
var turkey = new TurkeyModel(9.07185, this );
var proportional = 0.004; // This value is arbitrary to how fast you want the temperatures to converge. (Or oscillate, which could be realistic as well)
var errorTolerance = 10; //Stove is accurate to 1 degree Celcius Should hopefully oscillate below that value.
// Equalize temp will need to be sent each time iteration
this.equalizeTemp= function(){
var error = Math.abs(this.setTemp-this.tempInfini);
if( this.setTemp>this.tempInfini ){
this.tempInfini = this.tempInfini + error*proportional;
}
else if( this.setTemp<this.tempInfini ){
this.tempInfini = this.tempInfini - error*proportional;
}
if( error>errorTolerance ) {
if (this.steadyTimer>=80) {
//Reset the model's time calculation if there are major changes in the tolerance of the temperature or the steady timer expires
this.steadyTimer = 0;
this.globalTime = 0;
this.steadyTemp = this.tempInfini
turkey.resetLayerTemps();
}
return(true);
}
}
return {
getTurkeyState: function(){
return {
"skin" : {
"temp": turkey.totalLayers[0].getTemperature(),
"cond": turkey.totalLayers[0].getCondition()
},
"body" : {
"temp": turkey.totalLayers[1].getTemperature(),
"cond": turkey.totalLayers[1].getCondition()
},
"core" : {
"temp": turkey.totalLayers[2].getTemperature(),
"cond": turkey.totalLayers[2].getCondition()
}
};
},
changeTemp: function(setTemp){
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if(DEBUG) console.log("temp changed to " + setTemp);
that.setTemp = setTemp;
},
// set the tempInfini
setRawTemp: function(newTemp){
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if(DEBUG) console.log("raw temp changed to" + that.tempInfini);
that.tempInfini = newTemp;
},
getRawTemp: function(){
return that.tempInfini;
},
getCookTime: function(){
return that.globalTime;
},
secondTick: function(){
that.globalTime = that.globalTime + 1;
that.steadyTimer = that.steadyTimer + 1;
if ( that.equalizeTemp() ) {
// Turn on oven light
gameState.pubsub.publish( "OvenLight", "On" );
}
else {
that.steadyTemp = that.tempInfini;
// Turn off oven light
gameState.pubsub.publish( "OvenLight", "Off" );
}
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if(DEBUG) console.log("Steady Temp " + that.steadyTemp)
if(DEBUG) console.log("Steady Timer " + that.steadyTimer)
if(DEBUG) console.log("Oven Temp " + that.tempInfini )
turkey.updateLayerTemps();
}
}
}
UtilityFunctions = {
// Cache the lambda if the Biot number does not change, to avoid expensive root-finding operations
cachedBiot: null,
cachedLambda: null,
// Using Ratios for a rectangular Box Turkey
calculateRadius: function(weight, density) {
var ratioLvG=1.4; //1.4, Turkey length vs shoulder girth
var ratioLvH=2; //2, Turkey length vs height from resting position
var length = Math.pow(weight/((1/ratioLvG)*(1/ratioLvH)*density),(1/3))
var depth = 1/(ratioLvG /length);
var height = 1/(ratioLvH /length);
var simpleRadius = length/2; //Doesn't take into account equal Volume
var rectangleVolume = depth*height*length; //m^3 Multiple by 1/4 to account for triangular shape and empty Space
var complexRadius = Math.pow(rectangleVolume/((4/3)*Math.PI), 1/3); //Volume of 3D Box = 3D Sphere
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//if(DEBUG) console.log("Simple Radius " + simpleRadius + " Meters")
//if(DEBUG) console.log("Complex Radius " + complexRadius + " Meters")
return complexRadius;
},
findAllRoots: function(min,max,splitsNum,Biot) {
var step = ( max - min ) / ( splitsNum - 1 );
var answer;
var negativeTest;
var storage = [];
for (var i = step; i < max; i=i+step ) {
negativeTest = this.lambdaFormula(i-step, Biot)*this.lambdaFormula(i, Biot);
if (negativeTest <= 0) {
answer = this.bisectionMethod(i-step,i,Biot);
if (answer !=undefined) {
storage.push(answer);
}
}
else {
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//if(DEBUG) console.log("No Bracketed Root " + negativeTest)
}
}
return storage;
},
sphereVolume: function(radius) {
return((4/3)*Math.PI*Math.pow(radius,3))
},
waterLoss: function(temperature) {
return (Math.pow(10,(temperature-20)/80)-1)
},
bisectionMethod: function(min,max,Biot) {
errorTolerance = (1/Math.pow(10,8))
result = Infinity // some large value to ensure the calculation goes through.
negativeTest =this.lambdaFormula(min, Biot)*this.lambdaFormula(max, Biot)
if (negativeTest <=0 ) {
var antiFreeze=0;
while (Math.abs(result) > errorTolerance && antiFreeze<=500) { //The greater the antiFreeze, the more wasted cycles around a singularity
lambdaN = (min+max)/2
result=this.lambdaFormula(lambdaN, Biot)
if (Math.abs(result) <= errorTolerance && result<=errorTolerance) {
return (lambdaN); //At Root
}
else if ((this.lambdaFormula(min, Biot)*this.lambdaFormula(lambdaN, Biot))>=0) {
min=lambdaN;
}
else if ((this.lambdaFormula(max, Biot)*this.lambdaFormula(lambdaN, Biot))>=0) {
max=lambdaN;
}
antiFreeze++
}
}
},
lambdaFormula: function( lambdaN, Biot ) {
var result = 1-lambdaN*(1/Math.tan(lambdaN))-Biot;
return(result)
},
transientSphereSeries: function( density, thermalConduct, heatConvection, cp, rPosition, rTotal, tempInitial, tempInfini, t ){
var min = 0;
var max = 10000; // This are for setting Lambda boundaries and nothing else
var sum=0;
var alpha = thermalConduct/(density*cp);
var lambdaN;
var sinPortion;
var exponentialPortion;
var frontCoefficientPortion;
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//if(DEBUG) console.log("Alpha is " + alpha)
var Fourier = (alpha*t)/Math.pow(rTotal,2)
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//if(DEBUG) console.log("Fourier is " + Fourier)
var biotNum = heatConvection * rTotal/thermalConduct
if ( biotNum != this.cachedBiot ) {
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if(DEBUG) console.log("Recalculating Lambda Terms")
this.cachedLambda = this.findAllRoots(min,max,max*Math.PI*10,biotNum)
this.cachedBiot = biotNum;
}
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//if(DEBUG) console.log("The Biot Value is " + biotNum)
for (var i = 0; i<this.cachedLambda.length; i++) {
var lambdaN = this.cachedLambda[i];
var sinPortion= Math.sin(lambdaN*rPosition/rTotal)/(lambdaN*rPosition/rTotal);
var exponentialPortion = (1/Math.exp(Math.pow(lambdaN,2)*Fourier));
var frontCoefficientPortion = 4*(Math.sin(lambdaN)-(lambdaN*Math.cos(lambdaN)))/ (2*lambdaN-Math.sin(2*lambdaN));
sum = frontCoefficientPortion*exponentialPortion*sinPortion + sum;
}
tempAtTimeAndRadius=(sum*(tempInitial-tempInfini))+tempInfini
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if(DEBUG) console.log("The Temperature at radius " + rPosition + " m and time " + t/60/60 + " hours is " + tempAtTimeAndRadius + " C or " + this.C2F(tempAtTimeAndRadius) + " F");
return(tempAtTimeAndRadius)
},
/* Utility Functions */
C2F: function( celsius ){
return ( (celsius*(9/5)) + 32 );
},
F2C: function( farenheit ) {
return ( (farenheit-32) *(5/9) );
},
lbs2kgs: function(pounds){
return pounds * 0.453592
},
randRange: function(min, max){
return Math.floor(Math.random()*(max-min+1))+min;
},
cookCondition: function(cookValue,volume){
var multiplier = 1;
if (cookValue>=multiplier*600000) {
return ["Fire", (cookValue-600000)/(multiplier*600000),"fire"];
}
else if(cookValue>=multiplier*250000) {
return ["Burnt", (cookValue-250000)/(multiplier*600000), "burnt"];
}
else if (cookValue>=multiplier*150000) {
return ["Dry", (cookValue-150000)/(multiplier*250000), "dry"];
}
else if (cookValue>=multiplier*85000){
return ["Cooked", (cookValue-12000)/(multiplier*150000), "overcooked"];
}
else if (cookValue>=multiplier*12000) {
return ["Cooked", (cookValue-12000)/(multiplier*150000), "cooked"];
}
else if (cookValue>=multiplier*10000){
return ["Undercooked", (cookValue-5000)/(multiplier*12000), "slightly cooked"];
}
else if (cookValue>=multiplier*5000) {
return ["Undercooked", (cookValue-5000)/(multiplier*12000), "undercooked"];
}
else {
return ["Raw", 1, "raw"];
}
}
}
//Running the Program Stuff
/*
var ovenObject = new OvenModel();
var turkey = new TurkeyModel(9.07185, ovenObject );
globalTime=0;
setInterval(function(){ovenObject.secondTick();},10);
*/