What is the product solution method? How is it used to determine the transient temperature distribution in a twodimensional system?
Q: Q10/ A large slab at 350°C suddenly has its surface exposed to convection 30°C with h = 80 W/m²K.…
A:
Q: A 1.27-cm diameter copper (r = 8933 kg/m3, C = 385 J/(kg °C)) sphere is heated in a convection…
A:
Q: The operations management of the industrial plant where you work asks you to determine the length of…
A:
Q: Q3 a) A person extends his uncovered arms into the windy air outside at 10°C and 50 km/h (Figure 3).…
A:
Q: The author and his then 6-year-old son have conducted the following experiment to determine the…
A:
Q: Problem 2: Consider a 1-m-high and 2-m-wide double pane window consisting of a 3-mm-thick layers of…
A:
Q: In a concentrated solar power plant, molten salt tank is used to store the thermal energy from the…
A:
Q: Derive the expression for overall heat transfer coefficient through a two layers composite sphere…
A:
Q: Q12) Derive an expression for the overall heat transfer coefficient (U) for one layer plane with…
A:
Q: Consider a plate of thickness L which is initially at zero temperature. At t20 one side is insulated…
A: Given : To find : 1-D transient temperature
Q: Define Nusselt (Nu), Prandtl (Pr), Reynolds (Re) and Grashof (Gr) dimensionless numbers. State which…
A: Nusselt number represents the enhancement of heat transfer through a fluid layer as a result of…
Q: The Biot number during a heat transfer process between a sphere and its surroundings is determined…
A: The lumped system analysis is used when the Biot Number during a heat transfer process between a…
Q: Estimate the heat loss from a vertical Inconel 625 plate of 16 mm thickness exposed to nitrogen at…
A: Given data: Calculate the mean temperature. Calculate the area of the plate.
Q: In a slaughter house, 10-cm-thick meat slab initially at 15°C are to be cooled in the racks of a…
A:
Q: inner surface of each wall is 32oC while the room air temperature is maintained at 24oC. The rate of…
A:
Q: A thick bronze plate (a = 0.86 x 10-5 m?/s and k = 26 W/mK) is initially at a uniform temperature of…
A: The solution is given in next step
Q: The 4cm thick large copper plate, initially at a uniform temperature of 25oC, is heated by passing…
A: Given data: The thickness of the copper plate, L = 4 cm. The initial temperature of the plate, To =…
Q: Oranges of 2.5-in-diameter (k= 0.26 Btu/h·ft·°F) and α= 1.4 10-6 ft2/s) initially at a uniform…
A:
Q: A heating system is to be designed to keep the wings of an aircraft cruising at a velocity of 900…
A:
Q: A 212-mm-square, 15-mm-thick tile has the thermo-physical properties of Pyrex (ϵ = 0.83) and emerges…
A:
Q: number <
A: given: Lumped heat transfer analysis of a solid object suddenly exposed to a fluid medium at a…
Q: An uninsulated 100-mm diameter steam pipe runs for 25-meters inside a room whose walls at a…
A:
Q: Consider a sphere and cylinder that have the same volume and radius made of copper. Both of them are…
A: Heat transfer: The rate of heat transfer is directly proportional to the area exposed to the heat…
Q: Consider heat transfer between two identical hot solid bodies and their environments. The first…
A: The lumped analysis system is mostly applied for the bodies which are allowed to cool in the air. A…
Q: Silver shafts of 0.1 m diameter are heat treated in a gas-fired furnace whose gases are at 1200 K…
A:
Q: A 0.5-m-long thin vertical plate is subjected to a uniform heat flux of 1200 W/m2 on one side, while…
A: The properties of H2 at 50 oC, The mean film temperature is written as, The volume expansion…
Q: Determine the total heat transfer rate to the ice water.
A: Given: To determine:the total heat transfer rate to the ice water
Q: Stainless steel ball bearings (p=8085 kg/m², k=15.1 W/m°C, and C=0.480 kJ/kg.°C) having diameter of…
A:
Q: Define the cooling of a boiled egg by forced and natural convection.
A: Rate of heat transfer by convection is given by Where h is convective heat transfer coefficient.…
Q: Consider a sphere and cylinder that have the same volume and radius made of copper. Both of them are…
A: The rate of convection heat transfer is the product of the heat transfer coefficient, area of heat…
Q: An electric resistance space heater is designed such that it resembles a rectangular box 50 cm high,…
A: Consider the diagram shown below for the given heater. The mean film temperature is The properties…
Q: A sausage with physical properties = 980 kg / m3; cp = 3.9 kJ / kg. ° C and k = 0.76 W / m. ° C is…
A: Given, Density, ρ=980 kg/m3 Specific heat capacity, cp=3.9 kJ/kg 0C=3900 J/kg 0C Thermal…
Q: A person is found dead at 5PM in a room whose temperature is 20°C. The temperature of the body is…
A: Given, Diameter,d=30cm=0.30mradius, r=0.15mLength, L=1.70mHeat transfer coefficient,…
Q: Q5/A 30-cm-square vertical plate is heated electrically such that a constant-heat-flux condition is…
A:
Q: A food product with 73% moisture content in a 7 cm diameter can wants to be frozen. The density of…
A: Moisture content = 73% = 0.73 Density = 970 kg / m³ Diameter = 7 cm = 0.07 m Thermal conductivity =…
Q: HEAT AND MASS TRANSFER ISSUES. 1- How is the global heat transfer coefficient calculated for the…
A: We are suppose to solve only one question. Please post other question as a separate question.
Q: Example: An ordinary egg can be approximated as a 5-cm-diameter sphere (figure). The egg is…
A:
Q: 7-74E A 12-ft-long, 1.5-kW cleetrical resistanee wire is made of 0.1-in-diameter stainless steel (k…
A:
Q: 9-24 A 0.5-m-long thin vertical copper plate is subjected to a uniform heat flux of 1000 W/m² on one…
A:
Q: Why are the transient temperature charts prepared using nondimensionalized quantities such as the…
A: The transient temperature charts depend on the following variables.
Q: Example: In a production facility, large brass plates of 4 cm thickness that are initially at a…
A:
Q: A 150 mm diameter orange (P =950 kg/m.K, c= 4150 J/kg.K and k= 0.6 W/m.K), aproximately spherical in…
A:
Q: In a ball bearing production facility, steel balls that are each of 15 mm in diameter are annealed…
A: Given data: d=15 mmTi=870°CTf=125°CTa=60°Ch=35 W/m2K Need to determine the time required for…
Q: For which solid is the lumped system analysis more likely to be applicable: an actual apple or a…
A: Lumped heat capacity depends on the biot number. Biot number=hVKSwhere,V=volume of…
What is the product solution method? How is it used
to determine the transient temperature distribution in a twodimensional
system?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- Consider heat transfer between two identical hot solid bodies and their environments. The first solid is dropped in a large container filled with water, while the second one is allowed to cool naturally in the air. For which solid is the lumped system analysis more likely to be applicable? Why?A fabricated food, in the form of small spherical pellets, is to be frozen in an air-blast freezer. The air-blast freezer isoperating with air at -40°C. The initial product temperatureis 25°C. The pellets have a diameter of 0.5 cm, and the density of the product is 980 kg/m3. The initial freezing temperature is -2.5°C. The latent heat of fusion for this product is 280 kJ/kg. The thermal conductivity of the frozen productis 1.9 W/(m°C). The convective heat transfer coefficient is 50 W/(m2 °C). Calculate the freezing time.Partially-frozen ice cream is being placed in a package before completion of the freezing process. The package has dimensions of 8 cm by 10 cm by 20 cm and is placed in air- blast freezing with convective heat coefficient of 50 W/(m2 K) for freezing. The product temperature is -5°C when placed in the package, and the air temperature is -25°C. The product density is 700 kg/m3, the thermal conductivity (frozen) is 1.2 W/(m K), and the specific heat of the frozen product is 1.9 kJ/(kg K). If the latent heat to be removed during blast freezing is 100 kJ/kg, estimate the freezing time.
- The Biot number during a heat transfer process between a sphere and its surroundings is determined to be 0.02. Would you use lumped system analysis or the transient temperature charts when determining the midpoint temperature of the sphere? Why?Why are the transient temperature charts prepared using nondimensionalized quantities such as the Biot and Fourier numbers instead of the actual variables such as thermal conductivity and time?How can we use the transient temperature charts when the surface temperature of the geometry is specified instead of the temperature of the surrounding medium and the convection heat transfer coefficient?
- A 60 mm thickness large steel plate (k=42.6 W/m deg C, alpha = 0.043 m^2/h), initially at 440 deg C is suddenly exposed on both sides to an environment with convective heat transfer coefficient 235 W/m^2 deg C, and temperature 50 deg C. Determine the center line temperature, and temperature inside the plate 15 mm from the mid-plane after 4.3 minutes.During hot summer weather, many people put “koozies” around their beverages to keep the drinks cold. In addition to preventing a warm hand from heating the container through conduction, what other mechanisms slow the process of warming beverages?A fabricated food, in the form of small spherical pellets, is to be frozen in an air-blast freezer. The air-blast freezer is operating with air at -30°C. The initial product temperature is 25°C. The pellets have a diameter of 1.2 cm, and the density of the product is 980 kg/m3 . The initial freezing temperature is -2.5°C. The latent heat of fusion for this product is 280 kJ/kg. The thermal conductivity of the frozen product is 1.9 W/(m°C). The convective heat transfer coefficient is 50 W/(m2°C). Calculate the freezing time.
- A fabricated food, in the form of small spherical pellets, is to be frozen in an air-blast freezer. The air-blast freezer is operating with air at -30°C. The initial product temperature is 25°C. The pellets have a diameter of 1.2 cm, and the density of the product is 980 kg/m³ . The initial freezing temperature is -2.5°C. The latent heat of fusion for this product is 280 kJ/kg. The thermal conductivity of the frozen product is 1.9 W/(m°C). The convective heat transfer coefficient is 50 W/(m² °C). Calculate the freezing time (h)A person is found dead at 5PM in a room whose temperature is 20°C. Thetemperature of the body is measured to be 25°C when found, Modeling thebody as a 30-cm-diameter, 1.70-m-long cylinder and the heat transfer coefficient estimated to be 8 W/m2·K. and using the lumped system analysis as a rough approximation, estimate the time of death of the person.Lumped heat transfer analysis of a solid object suddenly exposed to a fluid medium at a different temp is valid when (a) Biot number < 0.1 (b) Biot number > 0.1 (c) Fourier number <0.1 (d) Fourier number > 0.1