Transient Heat ConductionCooking a Thanksgiving turkey is an art form and, if your skills in thekitchen are like mine, it is sometimes more of a mystical, elusive art form. Thankfully, science also has much tocontribute in the kitchen as well as the laboratory.Let us consider the change in temperature of a common, 20-lb holiday fowl as it is cooked in a convection oven.To simplify the analysis, let's assume the bird can be modeled as a uniform sphere of radius 7.0 in. with aspecific heat of 3.53 kJ/kg-K. Moreover, the turkey will be assumed to have a uniform temperature, T,throughout that will change with time as it is cooked according to the following relationship:。 + (To - T∞)eptT(t) = T∞ +where To is the initial temperature of the turkey, T∞, is the oven temperature, V is the volume of the turkey, As isthe surface area of the turkey, and h is the convection coefficient for the scenario which is 11.3 W/m²-K. If theoven is set to 325 °F and the initial temperature of the turkey is 50 °F, calculate how much time it takes for theturkey to reach 170 °F.

Step 1:Mass is 20lbRadius of the sphere is 7inSpecific heat is 3.53kg−KkJConvention coefficient is…

Answered: Transient Heat Conduction Cooking a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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You have been asked to cook a 6 kg joint of beef in a conventional oven preheated to 200°C. The joint of meat is roughly spherical and therefore the joint can be modelled as a uniform sphere. i) Normal cooking times for beef state you should cook for at least 60 minutes per kg plus an additional 30 minutes. Estimate the normal cooking time for the beef. ii) Estimate the heat flux into the joint needed to raise the temperature of the joint from 25 °C to a minimum cooked temperature of 70 °C. Given: a. The heat capacity for beef is: 1. 67 kJ/kg/K. b. The density of beef is 1033 k/m'. iii) Assuming only heat transfer occurs through a solid, calculate the rate of accumulation of heat in the meat. iv) Derive a simple expression for the temperature profile in the radial direction through the meat. Given: a. The thermal conductivity of the beef is 0.45 W/m/K. v) Calculate the minimum time needed to reach the minimum temperature of 70 °C using your expression. vi) Compare your answer in part…
Hello, I have been having trouble analyzing the following situation related to the field of Heat Transfer; I am needing to find the heat transfer rate through the given wall in Watts (shown in attached image): A wall consists of four different materials, A, B, C, and D as shown. The thermal conductivities of A, B, C, and D are 1, 5, 10, and 15 W/(mK), respectively. The inner surface of the wall is maintained at 60 oC, and the outside temperature is 20 oC. The convective coefficient for the outside air is 20 W/(m2K). The area of A, B, and C is 0.3 m2, and each is of equal thickness. Area D has an area of 0.1 m2 and thickness of 45 cm. I know some equations that can be used to solve this problem using the thermal circuits concept, but those equations require knowing the additional information about the temperature of the inside air or the surface temperature of the outside wall. Could you please help me determine what methods needed to solve this problem that I am missing? Thank you.
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Show detailed step by step solution. Topic: Thermodynamics
A radioactive sphere of 20-cm diameter generates heat at the rate of 300 W. It is cooled by placing in a cold inert fluid. The fluid temperature is –20°C. At steady state, the surface temperature of the sphere was found to be 20°C. What is the heat transfer rate from the sphere?
9. In a 2-dimensional solid in steady-state experiencing conduction, which parameter character- izes the effect of geometry on the relationship between the conduction heat rate and the overall temperature difference? (a) Coefficient of convection (b) Thermal conductivity (c) Shape factor (d) Isotherms (e) One-term approximation
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Consider a solid sphere of radius R with a fixed surface temperature, TR. Heat is generated within the solid at a rate per unit volume given by q = ₁ + ₂r; where ₁ and ₂ are constants. (a) Assuming constant thermal conductivity, use the conduction equation to derive an expression for the steady-state temperature profile, T(r), in the sphere. (b) Calculate the temperature at the center of the sphere for the following parameter values: R=3 m 1₁-20 W/m³ TR-20 °C k-0.5 W/(m K) ₂-10 W/m³
Consider you have four long, 2 cm diameter rods, one each made of copper, steel, wood, and glass. They are to be cooled from a high temperature for 10 minutes. If you want to describe how the temperature changes with time, what approach is best for each of these rods. Balance solution accuracy against efficiency and justify with rules of thumb given
The following graph shows the thermal behavior of 2 kg of a material called Uniandesato undergoing a solid-liquid phase transition. In a container, thermally insulated from the outside, 20 kg of liquid water at a temperature of 80°C are placed. In addition to this, an unknown amount of Uniandesato in a 100% solid state at its melting temperature (10°C) is added. The specific heat of water is 4186 J/kg°C. a) If the system reaches an equilibrium temperature of 60°C, calculate the initial amount of Uniandesato added to the container. b) Calculate the change in entropy during this process and show that it is consistent with the Second Law of Thermodynamics. Hint: Extract the necessary information to solve this problem from the graph.
A wooden sphere of diameter 5 cm is initially at a uniform temperature of 21 °C. Its surfacetemperature is suddenly raised to 83 °C. The thermal conductivity and thermal diffusivity ofthe wood are 0.15 W/m K and 0.82 x 10-7 m^2/s, respectively. a) Calculate the temperature 2 cm beneath the surface of the sphere 30 min after the sudden increase in temperature.b) Calculate the energy gained by the sphere during this time.
Derive an expression for the thermal resistance for one-dimensional heat conduction through a spherical shell assuming steady state.

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