You are home for Thanksgiving and are roasting a 20-lbm turkey in a forced convection oven for your family. You are interested in deriving a time-dependent temperature profile of the turkey to estimate how long it will take to cook the turkey. Assume the following: 1. The turkey can be modeled as a sphere 2. There is no viscous dissipation 3. Air is an ideal gas 4. The airflow is laminar, constant, and fully developed 5. The hot air in the oven chamber is held steady at 325 °F 6. The turkey starts at a temperature of 68 °F (room temperature) 7. The turkey is fully cooked when the center temperature is 165 °F 8. Neglect effects from radiation 9. There is no evaporation of water from the turkey, so the turkey mass stays constant and there is no evaporative cooling 10. The airflow is only in the radial direction such that the dominant energy terms are radial convection and radial conduction 11. The physical properties can be assumed to be constant and the following: Tasks: h 19.252 k 0.464 W/m²/k W/m²/k Ρ 591.75 kg/m³ 3 Ср 2810 J/kg/°C Using Matlab's pdepe function or similar Python functions, find a numerical solution for this heat dissipation. Plot the resulting solution array of time vs radial distance in a surface plot with scaled colors (e.g., imagesc in Matlab or similar functions in Python). Be sure to use the appropriate range of time and distance to capture the region of interest. Make sure to adequately annotate your code using % to describe what you are doing. Make sure to list any additional assumptions that you have made in the code. a. Include the simplifications you used for the equation of energy in terms of q. b. Include the boundary condition(s) used.

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Please help me with the tasks, my plan is to use matlab and im unsure how to get the code going

Transcribed Image Text:You are home for Thanksgiving and are roasting a 20-lbm turkey in a forced convection oven for your family. You are interested in deriving a time-dependent temperature profile of the turkey to estimate how long it will take to cook the turkey. Assume the following: 1. The turkey can be modeled as a sphere 2. There is no viscous dissipation 3. Air is an ideal gas 4. The airflow is laminar, constant, and fully developed 5. The hot air in the oven chamber is held steady at 325 °F 6. The turkey starts at a temperature of 68 °F (room temperature) 7. The turkey is fully cooked when the center temperature is 165 °F 8. Neglect effects from radiation 9. There is no evaporation of water from the turkey, so the turkey mass stays constant and there is no evaporative cooling 10. The airflow is only in the radial direction such that the dominant energy terms are radial convection and radial conduction 11. The physical properties can be assumed to be constant and the following: Tasks: h 19.252 k 0.464 W/m²/k W/m²/k Ρ 591.75 kg/m³ 3 Ср 2810 J/kg/°C Using Matlab's pdepe function or similar Python functions, find a numerical solution for this heat dissipation. Plot the resulting solution array of time vs radial distance in a surface plot with scaled colors (e.g., imagesc in Matlab or similar functions in Python). Be sure to use the appropriate range of time and distance to capture the region of interest. Make sure to adequately annotate your code using % to describe what you are doing. Make sure to list any additional assumptions that you have made in the code. a. Include the simplifications you used for the equation of energy in terms of q. b. Include the boundary condition(s) used.

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