The roof of a house absorbs a solar radiant flux of 600 W/m", while the underside to the ceiling is perfectly insulated (assumed). The convection coefficient between the roof and the ambient air is 30 W/m2-K. Neglecting radiation exchange with the surroundings, what is the temperature of the roof under steady state conditions if the ambient air temperature is 28°C? Express your answer in °C

The roof of a house absorbs a solar radiant flux of 600 W/m", while the underside to the ceiling is perfectly insulated (assumed). The convection coefficient between the roof and the ambient air is 30 W/m2-K. Neglecting radiation exchange with the surroundings, what is the temperature of the roof under steady state conditions if the ambient air temperature is 28°C? Express your answer in °C

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.29P: 1.29 A spherical interplanetary probe with a 30-cm diameter contains electronic equipment that...

See similar textbooks

Related questions

Q: Heat is generated in a 2.0-cm-square copper rod at the rate of 30 MW/m³. The rod is exposed to a…

A: Given data: a=2.0 cmQ˙=30 MW/m3T∞=25°Ch=5 kW/m2 Need to determine the surface temperature of the…

Q: A cylindrical steel tank with a diameter of 3 m and height of 4.4 m is used to store chilled water…

A: Given: r = d/2 = 3/2 = 1.5 m H = 4.4 m h = 15 W/m2K

Q: 2-A: Give an example system or component in daily life in which all three modes of heat transfer are…

A: 2.A Give an example system or component in daily life in which all three modes of heat transfer are…

Q: In an orbiting space station, an electronic package is housed in a compartment having a surface area…

A: Surface area, A=1 m2 Surface emissivity, ε=1 Space temperature, To=0 K Heat generated, Q=500 W Solar…

Q: Hello, I have been having trouble analyzing the following situation related to the field of Heat…

Q: A student is standing inside a large classroom with temperature controlled at 20°C. For a heat…

Q: Using A and V as the variables, set up the objective function and constraint to optimize the first…

A: Given:water temperature = T = 250CSolar Energy: 260 W/m2convection coefficient = h = 2…

Q: Assume a steel ball has just been manufactured with a diameter of 10 cm and has a temperature of…

Q: Q5) Consider a wall-mounted power transistor that dissipates 0.18 Wof power in an environment at…

A: The convective heat transfer is defined as the enhancement of conduction by virtue of convection.…

Question

The roof of a house absorbs a solar radiant flux of 600 W/m?, while the underside to the ceiling is
perfectly insulated (assumed). The convection coefficient between the roof and the ambient air is 30
W/m2-K.
Neglecting radiation exchange with the surroundings, what is the temperature of the roof under steady
state conditions if the ambient air temperature is 28°C? Express your answer in °C

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Show that the rate of heat conduction per unit length through a long, hollow cylinder of inner radius ri and outer radius ro, made of a material whose thermal conductivity varies linearly with temperature, is given by qkL=TiTo(rori)/kmA where Ti = temperature at the inner surface To = temperature at the outer surface A=2(rori)/ln(ro/ri)km=ko[1+k(Ti+To)/2]L=lenthofcyclinder
A pipe carrying superheated steam in a basement at 10C has a surface temperature of 150C. Heat loss from the pipe occurs by radiation (=0.6) and natural convection (hc=25W/m2K). Determine the percentage of the total heat loss by these two mechanisms.
1.19 A cryogenic fluid is stored in a 0.3-m-diameter spherical container is still air. If the convection heat transfer coefficient between the outer surface of the container and the air is 6.8 , the temperature of the air is 27°C, and the temperature of the surface of the sphere is –183°C, determine the rate of heat transfer by convection.
3.16 A large, 2.54-cm.-thick copper plate is placed between two air streams. The heat transfer coefficient on one side is and on the other side is . If the temperature of both streams is suddenly changed from 38°C to 93°C, determine how long it takes for the copper plate to reach a temperature of 82°C.
1.79 Consider the cooling of (a) a personal computer with a separate CPU and (b) a laptop computer. The reliable functioning of these machines depends on their effective cooling. Identify and briefly explain all modes of heat transfer involved in the cooling process.
The interior wall of a large, commercial walk-in type meat freezer is covered under normal operating conditions with a 2-cm thick layer of ice. One day, a power outage cuts electricity to the refrigeration system of the freezer. Estimate the time required to melt this layer of ice if it has a mass density of 700kg/m3 and a latent heat of fusion of 334 kJ/kg. Consider the air temperature inside the freezer to be 20C with a heat transfer coefficient of 2W/m2K for convection from the freezer surface to air, and clearly state the assumptions made in your calculations.
A cooling system is to be designed for a food storage warehouse for keeping perishable foods cool prior to transportation to grocery stores. The warehouse has an effective surface area of 1860 m2 exposed to an ambient air temperature of 32C. The warehouse wall insulation (k=0.17W/(mK)) is 7.5 cm thick. Determine the rate at which heat must be removed (W) from the warehouse to maintain the food at 4C.
Using Table 1.4 as a guide, prepare a similar table showing the orders of magnitude of the thermal resistances of a unit area for convection between a surface and various fluids.
A spherical communications satellite, 2 m in diameter, is placed in orbit around the earth. The satellite generates 1000 W of internal power from a small nuclear generator. If the surface of the satellite has an emittance of 0.3, and is shaded from solar radiation by the earth, estimate its surface temperature.
1.67 In beauty salons and in homes, a ubiquitous device is the hairdryer. The front end of a typical hairdryer is idealized as a thin-walled cylindrical duct with a 6-cm diameter with a fan at the inlet that blows air over an electric heating coil as schematically shown in the figure. The design of this appliance requires two power settings, with which the air blown over the electric heating coil is heated from the ambient temperature of to an outlet temperature of and with exit air velocities of 1.0 m/s and 1.5 m/s. Estimate the electric power required for the heating coil to meet these conditions, assuming that heat loss from the outside of the dryer duct is neglected.
1.39 On a cold winter day, the outside wall of a home is exposed to an air temperature of when the inside temperature of the room is at . As a result of this temperature gradient, there is heat loss through the wall to the outside. Consider the convective heat transfer coefficients for the air inside the room and at the outside wall surface to be, respectively, 12.0 and . If the composite room wall is modeled as a plane wall with a thermal resistance per unit area of , determine the temperature at the outer surface of the wall as well as the rate of heat flow through the wall per unit area. If the homeowner were to consider using a fiberglass insulation layer on the inside wall surface for reducing this heat loss by 50%, what is the required thickness of this layer and the outside wall temperature for this case?
2.38 The addition of aluminum fins has been suggested to increase the rate of heat dissipation from one side of an electronic device 1 m wide and 1 m tall. The fins are to be rectangular in cross section, 2.5 cm long and 0.25 cm thick, as shown in the figure. There are to be 100 fins per meter. The convection heat transfer coefficient, both for the wall and the fins, is estimated to be K. With this information determine the percent increase in the rate of heat transfer of the finned wall compared to the bare wall.