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Turkey-Cooking-Simulator
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updated model

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Robert Chen 11 years ago
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56bcde6458
commit
47d6ead344
3 changed files with 150 additions and 159 deletions
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  1. 2
      index.html
  2. 2
      js/main.js
  3. 233
      js/model.js

2
index.html
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@ -12,7 +12,7 @@ @@ -12,7 +12,7 @@
</div>
</center>
</body>
<script src="http://code.createjs.com/createjs-2013.09.25.min.js"></script>
<script src="createjs-2013.09.25.min.js"></script>
<script src="js/model.js"></script>
<script src="js/soundmanager.js"></script>
<script src="js/stories.js"></script>

2
js/main.js
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@ -1,6 +1,6 @@ @@ -1,6 +1,6 @@
// Robert- Here be dragons
var DEBUG = 1;
var DEBUG = 0;
function GameState(){
var that = this;

233
js/model.js
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@ -1,30 +1,19 @@ @@ -1,30 +1,19 @@
function TurkeyLayer( name, percentRadius, turkeyModel, ovenModel ){
function TurkeyLayer( name, layerNumber1, turkeyModel, ovenModel ){
var that = this;
this.name = name;
this.percentRadius=percentRadius;
this.initialTemp = 20;
this.layerNumber=layerNumber1;
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.finalTemperature = turkeyModel.globTemp[that.layerNumber]
console.log(turkeyModel.globTemp)
that.waterLost = that.waterLost + UtilityFunctions.waterLoss( that.finalTemperature );
that.cookCondition = UtilityFunctions.cookCondition(that.waterLost);
if(DEBUG) console.log( that.name + ": "+ that.waterLost + " " + that.cookCondition);
},
resetLayerTemps: function(){
that.initialTemp = that.finalTemperature;
that.cookCondition = UtilityFunctions.cookCondition(that.waterLost, that.name);
if(DEBUG) console.log( that.name + ": "+ that.waterLost + " " + that.cookCondition + " " + that.finalTemperature + " C" );
},
getCondition: function(){
return that.cookCondition;
@ -38,23 +27,35 @@ function TurkeyLayer( name, percentRadius, turkeyModel, ovenModel ){ @@ -38,23 +27,35 @@ function TurkeyLayer( name, percentRadius, turkeyModel, ovenModel ){
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.density = 700; // kg/m3 Assuming Density of Water 1000 kg/m3
this.cp = 2810; // 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.splitsNum = 20;
console.log(UtilityFunctions.lbs2kgs(weight))
this.totalRadius = UtilityFunctions.calculateRadius( UtilityFunctions.lbs2kgs(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 ) ];
this.totalLayers = [ new TurkeyLayer("Skin", this.splitsNum-1, this, ovenModel ),
new TurkeyLayer("Body", this.splitsNum-4, this, ovenModel ),
new TurkeyLayer("Core", 0, this, ovenModel ) ];
// Whenever temperature is changed
this.updateLayerTemps = function() {
this.globTemp = UtilityFunctions.transientSphereSeries( this.density,
this.thermalConduct,
this.heatConvection,
this.cp,
this.totalRadius,
ovenModel.tempInfini,
this.splitsNum,
this.deltar,
this.globTemp,
this.pointRadius
);
for (var i in this.totalLayers ){
this.totalLayers[i].updateTemperatureTick();
}
@ -65,18 +66,32 @@ function TurkeyModel( weight, ovenModel ){ @@ -65,18 +66,32 @@ function TurkeyModel( weight, ovenModel ){
this.totalLayers[i].resetLayerTemps();
}
};
//Sheen Model Stuff
this.globTemp=[];
this.pointRadius = []
this.splitsNum = 20;
this.deltar = this.totalRadius/this.splitsNum; //20 Data Points
this.initializePoints = function() {
var step = ( this.totalRadius - this.deltar ) / ( this.splitsNum - 1 );
for (var i = 0; i<this.splitsNum ; i++ ) {
this.pointRadius.push(step*i+this.deltar);
this.globTemp.push(20+step*i); //Starts at 20 C for initilizating
}
};
this.initializePoints()
}
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( UtilityFunctions.lbs2kgs(turkeyWeight), this );
var turkey = new TurkeyModel(turkeyWeight, 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
@ -90,13 +105,6 @@ function OvenModel( turkeyWeight, gameState ) { @@ -90,13 +105,6 @@ function OvenModel( turkeyWeight, gameState ) {
}
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);
}
}
@ -134,19 +142,15 @@ function OvenModel( turkeyWeight, gameState ) { @@ -134,19 +142,15 @@ function OvenModel( turkeyWeight, gameState ) {
},
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" );
}
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();
}
@ -179,26 +183,6 @@ UtilityFunctions = { @@ -179,26 +183,6 @@ UtilityFunctions = {
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 {
//if(DEBUG) console.log("No Bracketed Root " + negativeTest)
}
}
return storage;
},
sphereVolume: function(radius) {
return((4/3)*Math.PI*Math.pow(radius,3))
},
@ -207,74 +191,50 @@ UtilityFunctions = { @@ -207,74 +191,50 @@ UtilityFunctions = {
return (Math.pow(10,(temperature-20)/80)-1)
},
transientSphereSeries: function( density, thermalConduct, heatConvection, cp, rTotal, tempInfinity, splitsNum, deltar, globTemp,pointRadius) {
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;
//Not Global Stuff
var r0 = rTotal;
var deltat = 0.1
//if(DEBUG) console.log("Alpha is " + alpha)
var alpha = thermalConduct/(density*cp)
var h=heatConvection;
var Fourier = (alpha*t)/Math.pow(rTotal,2)
//if(DEBUG) console.log("Fourier is " + Fourier)
var biotNum = heatConvection * rTotal/thermalConduct
if ( biotNum != this.cachedBiot ) {
if(DEBUG) console.log("Recalculating Lambda Terms")
this.cachedLambda = this.findAllRoots(min,max,max*Math.PI*10,biotNum)
this.cachedBiot = biotNum;
for (var j=0; j<(1/deltat); j++ ) {
var dTdr=[]
// globTemp[splitsNum-1] should be last entry in globtemp
for (var k=0; k<splitsNum; k++){
if (k==0) {
dTdr.push((globTemp[1] - globTemp[0])/deltar) }
else if (k==splitsNum-1) {
dTdr.push((globTemp[splitsNum-1] - globTemp[splitsNum-2])/deltar)}
else {
dTdr.push((globTemp[k+1] - globTemp[k-1])/(2*deltar))}
}
dTdr[splitsNum-1] = heatConvection*(tempInfinity-globTemp[splitsNum-1])/thermalConduct
//if(DEBUG) console.log("The Biot Value is " + biotNum)
var parenthesis = []
for (var k=0; k<splitsNum; k++){
parenthesis.push(dTdr[k]*Math.pow(pointRadius[k],2))
}
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;
dPdr = []
for (var k=0; k<splitsNum; k++){
if (k==0) {
dPdr.push((parenthesis[1] - parenthesis[0])/deltar) }
else if (k==splitsNum-1) {
dPdr.push((parenthesis[splitsNum-1] - parenthesis[splitsNum-2])/deltar)}
else {
dPdr.push((parenthesis[k+1] - parenthesis[k-1])/(2*deltar))}
}
tempAtTimeAndRadius=(sum*(tempInitial-tempInfini))+tempInfini
for (var k=0; k<splitsNum; k++){
globTemp[k]=alpha*dPdr[k]/Math.pow(pointRadius[k],2)*deltat + globTemp[k] //dTdr * deltaT in one loop
}
//dTdt(1)=dTdt(1)/2;
}
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)
return(globTemp)
},
/* Utility Functions */
@ -290,7 +250,9 @@ UtilityFunctions = { @@ -290,7 +250,9 @@ UtilityFunctions = {
randRange: function(min, max){
return Math.floor(Math.random()*(max-min+1))+min;
},
cookCondition: function(cookValue,volume){
cookCondition: function(cookValue, layerName){
if( layerName == "skin" ){
var multiplier = 1;
if (cookValue>=multiplier*600000) {
return ["Fire", (cookValue-600000)/(multiplier*600000),"fire"];
@ -317,13 +279,42 @@ UtilityFunctions = { @@ -317,13 +279,42 @@ UtilityFunctions = {
return ["Raw", 1, "raw"];
}
}
else{
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 );
var turkey = new TurkeyModel(9, ovenObject);
globalTime=0;
setInterval(function(){ovenObject.secondTick();},10);
setInterval(function(){ovenObject.secondTick();},1000);
*/

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