D OUGH T HICKNESS FOR KURTOSKALACS By: Timothy Ruggles and Heath Whittier.

Slides:



Advertisements
Similar presentations
Gauss Elimination.
Advertisements

CompTest 2003, January 2003, Châlons-en-Champagne © CRC for Advanced Composite Structures Ltd Measurement of Thermal Conductivity for Fibre Reinforced.
Lumped Burrito Using Lumped Capacitance to Cook a Frozen Burrito Chad Pharo & Chris Howald ME EN 340 Heat Transfer Project.
Baking Time Baking Cakes of Science By: Ryan Johnson Desirée Wolfgramm John Wolfgramm Heat Transfer Project Fall 2006.
Analysis of Simple Cases in Heat Transfer P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Gaining Experience !!!
A second order ordinary differential equation has the general form
Home Insulation By: Jeff Krise. Introduction Analyze the rate of heat transfer from the attic to the interior of the home. Based on summer average temperatures.
Inverse Heat Conduction Problem (IHCP) Applied to a High Pressure Gas Turbine Vane David Wasserman MEAE 6630 Conduction Heat Transfer Prof. Ernesto Gutierrez-Miravete.
CHE/ME 109 Heat Transfer in Electronics LECTURE 12 – MULTI- DIMENSIONAL NUMERICAL MODELS.
CHE/ME 109 Heat Transfer in Electronics LECTURE 10 – SPECIFIC TRANSIENT CONDUCTION MODELS.
C is for Cookie (Not Specific Heat) Ken Langley and Robert Klaus Prepared for ME 340: Heat Transfer Winter Semester 2010 Prepared for ME 340: Heat Transfer.
Model 5:Telescope mirrors Reflecting telescopes use large mirrors to focus light. A standard Newtonian telescope design is depicted in figure 1: Light.
The Pizza Pouch Project Joonshick Hwang Brian Pickup Winter 2007 ME 340 Final Project.
Hot Dog! Allison Lee Victoria Lee. Experiment Set Up Compare the lumped capacitance method and transient conduction Time it takes to cook a hot dog compared.
CHE/ME 109 Heat Transfer in Electronics LECTURE 11 – ONE DIMENSIONAL NUMERICAL MODELS.
CHE/ME 109 Heat Transfer in Electronics LECTURE 8 – SPECIFIC CONDUCTION MODELS.
Furnace Efficiency Bryce Cox Dallin Bullock. Problem My gas bill is very expensive My furnace claims an efficiency of 78% but it appears to be less efficient.
Metal vs. Glass The effect of conduction in baking.
Food Freezing Basic Concepts (cont'd) - Prof. Vinod Jindal
EXAMPLE 3 Solve a multi-step problem Manufacturing A company manufactures small and large steel DVD racks with wooden bases. Each size of rack is available.
CHAPTER 8 APPROXIMATE SOLUTIONS THE INTEGRAL METHOD
How Much Does a Cooling Pad Help Your Laptop?
Lesson 2-4. Many equations contain variables on each side. To solve these equations, FIRST use addition and subtraction to write an equivalent equation.
UNSTEADY STATE HEAT TRANSFER. This case of heat transfer happens in different situations. It is complicated process occupies an important side in applied.
Chapter 4 TRANSIENT HEAT CONDUCTION
CHE/ME 109 Heat Transfer in Electronics LECTURE 9 – GENERAL TRANSIENT CONDUCTION MODELS.
By: David Weston Larissa Cannon Hot Potato!. Background Potatoes cook by absorbing heat through radiation and convection. The heat is then transferred.
U4L3 Solving Quadratic Equations by Completing the Square.
Multidimensional Heat Transfer This equation governs the Cartesian, temperature distribution for a three-dimensional unsteady, heat transfer problem involving.
2D Transient Conduction Calculator Using Matlab
CBE 150A – Transport Spring Semester 2014 Non-Steady State Conduction.
Module 4 Multi-Dimensional Steady State Heat Conduction.
Mass Transfer Coefficient
A baseball player has played baseball for several years. The following table shows his batting average for each year over a 10 year period. 1) Enter the.
Lesson 3-4 Solving Multi-Step Inequalities August 20, 2014.
1 CHAPTER 4 TRANSIENT CONDUCTION Neglect spatial variation: Criterion for Neglecting Spatial Temperature Variation Cooling of wire by surface convection:
A S TUDY OF H EAT T RANSFER TO C ARROTS Brettany Rupert Brett Rowberry Fall 2011.
Boundary Value Problems l Up to this point we have solved differential equations that have all of their initial conditions specified. l There is another.
8-1 Completing the Square
Unsteady State Heat Conduction
Food Freezing Basic Concepts (cont'd) - Prof. Vinod Jindal 1 FST 151 FOOD FREEZING FOOD SCIENCE AND TECHNOLOGY 151 Food Freezing - Basic concepts (cont’d)
One Dimensional Models for Conduction Heat Transfer in Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department I I T Delhi.
Ch 10.6: Other Heat Conduction Problems
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1 Chapter 27.
One Answer, No Answers, or an Infinite Number of Answers.
3.4 Solving Equations with Variables on Both Sides Objective: Solve equations that have variables on both sides.
Chapter 2: Heat Conduction Equation
Tutorial supported by the REASON IST project of the EU Heat, like gravity, penetrates every substance of the universe; its rays occupy all parts.
Non-Homogeneous Second Order Differential Equation.
Drill Complete 2-1 Word Problem Practice #1 – 4 in your groups. 1 group will be chosen to present each problem.
1 Chapter 5 DIFFERENCE EQUATIONS. 2 WHAT IS A DIFFERENCE EQUATION? A Difference Equation is a relation between the values y k of a function defined on.
Thermal Analysis Assumptions: Body Temperature (Environment) is 37˚C Heat distribution on outside of device will be modeled via FEA Heat transfer method.
Solving multi step equations. 12X + 3 = 4X X 12X + 3 = 3X X 9X + 3 = X = X =
ERT 216 HEAT & MASS TRANSFER Sem 2/ Dr Akmal Hadi Ma’ Radzi School of Bioprocess Engineering University Malaysia Perlis.
Equations with Variables on Both Sides Chapter 3 Section 3.
Fourier’s Law and the Heat Equation
Heat Transfer Transient Conduction.
Solve an equation by multiplying by a reciprocal
2 Understanding Variables and Solving Equations.
MAE 82 – Engineering Mathematics
Spencer Ferguson and Natalie Siddoway April 7, 2014
2 Understanding Variables and Solving Equations.
2 Understanding Variables and Solving Equations.
Radical Equations and Problem Solving
Linear Algebra Lecture 3.
2-1 & 2-2: Solving One & Two Step Equations
What is Fin? Fin is an extended surface, added onto a surface of a structure to enhance the rate of heat transfer from the structure. Example: The fins.
Radicals Review.
4.5: Completing the square
2-3 Equations With Variables on Both Sides
Presentation transcript:

D OUGH T HICKNESS FOR KURTOSKALACS By: Timothy Ruggles and Heath Whittier

C HIMNEY S WEETS - K URTOSKALACS Kurtoskalacs is a centuries old dessert from Transylvania, a type of sweet bread wrapped around a wooden dowel and baked quickly over an open fire or in a rotisserie oven. Over the summer I worked at the Provo Farmer’s Market baking them. The process has been unchanged for centuries and is difficult to get right. The challenge to making the perfect kurtoskalacs is making the dough the right thickness so they cook quickly and the sugar on the outside caramelizes while the dough inside stays soft.

T HE P ROBLEM : P REDICTING THE REQUIRED DOUGH THICKNESS Sugar carmelizes at 160 C Dough is cooked at 93 C Using these two temperatures for the boundaries on each side of the dough we set up an equation to predict the perfect thickness. Because the dough is wrapped around a dowel we used the Approximate analytical solution for transient conduction through an infinite cylinder.

A DAPTING THE M ODEL This analytical solution was not meant for a non- homogenous cylinder. Because the dough and the dowel have differing properties, this model will not necessarily be accurate. The conduction coefficient was taken to be an average between dough (apprx. 0.4 W/mK) and wood (0.16 W/mK), 0.28 W/mK. We set the time for the inside to finish cooking and the time for the outside sugar to caramelize equal to each other.

S OLUTION AND RESULTS The equation simplified to the following: We found ζ from table 5.1 using Bi=h*r/k, and assumed it did not change with t. Estimated h=20, k=.28, r=.0381m Bi=2.72 ζ=1.7 Using Mathcad we then solved for t Which gives us t= inches

C ONCLUSIONS Our model predicted the ideal thickness for a crispy outside and a soft inside to be about a quarter of an inch. This value is close to common practice, but still too small. Our model needs further refinement to accurately predict baking parameters.

R ECOMMENDATIONS The inaccuracy of our solution may be due in part to the inadequacy of the model and poorly estimated properties and parameters. Oven temperature and convective coefficient were estimated because the oven was unavailable. If they were measured, more precise results could be obtained. The non-homogenous nature of the problem lends itself to a finite element analysis. Although our model was good for an initial guess, FEA would yield better results.

A PPLICATIONS Right now, Chimney Sweets, the company I worked for, is developing new ovens. A working model for the temperature of a kurtoskalacs as it bakes could help in oven design, setting target oven temperatures and convective coefficients in order to preserve the traditional taste of the kurtoskalacs.