A small body is placed inside a spherical stainless steel chamber with a diameter of 3 m. The chamber is evacuated and has a constant surface temperature of 500 K. Determine the radiation incident on the surface of the small body inside the chamber if the interior surface of the chamber is (a) coated black and (b) well-polished.
> Consider an opaque plate that is well insulated on the edges and heated at the bottom with an electric heater. The plate has an emissivity of 0.67 and is situated in an ambient surrounding temperature of 7°C where the natural convection heat transfer coe
> A shell-and-tube heat exchanger with one shell pass and 14 tube passes is used to heat water in the tubes with geothermal steam condensing at 120°C (hfg = 2203 kJ/kg) on the shell side. The tubes are thin-walled and have a diameter of 2.4 cm a
> What is the physical significance of hfg? Can it be obtained from a knowledge of hf and hg? How?
> What is the value of the engineering software packages in (a) engineering education and (b) engineering practice?
> Consider an opaque horizontal plate that is well insulated on the edges and the lower surface. The plate is uniformly irradiated from above while air at T∞ = 300 K flows over the surface, providing a uniform convection heat transfer coe
> Water (cp = 1.0 Btu/lbm⋅°F) is to be heated by solar heated hot air (cp = 0.24 Btu/lbm⋅°F) in a double-pipe counterflow heat exchanger. Air enters the heat exchanger at 190°F at a rate of 0.7 lbm/s and leaves at 135°F. Water enters at 70°F at a rate of 0
> Irradiation on a semitransparent medium is at a rate of 520 W/m2. If 160 W/m2 of the irradiation is reflected from the medium and 130 W/m2 is transmitted through the medium, determine the medium’s absorptivity, reflectivity, transmissivity, and emissivit
> What are the common causes of fouling in a heat exchanger? How does fouling affect heat transfer and pressure drop?
> An opaque horizontal plate is well insulated on the edges and the lower surface. The irradiation on the plate is 3000 W/m2, of which 500 W/m2 is reflected. The plate has a uniform temperature of 700 K and has an emissive power of 5000 W/m2. Determine the
> By taking the limit as ΔT2 → ΔT1, show that when ΔT1 = ΔT2 for a heat exchanger, the ΔTlm relation reduces to ΔTlm = ΔT1 = ΔT2.
> The reflectivity of aluminum coated with lead sulfate is 0.35 for radiation at wavelengths less than 3 μm and 0.95 for radiation greater than 3 μm. Determine the average reflectivity of this surface for solar radiation (T ≈ 5800 K) and radiation coming f
> Consider a water-to-water double-pipe heat exchanger whose flow arrangement is not known. The temperature measurements indicate that the cold water enters at 20°C and leaves at 50°C, while the hot water enters at 80°C and leaves at 45°C. Do you think thi
> The variation of the spectral absorptivity of a surface is as given in Fig. P21–42. Determine the average absorptivity and reflectivity of the surface for radiation that originates from a source at T = 2500 K. Also, determine the averag
> Consider the flow of saturated steam at 270.1 kPa that flows through the shell side of a shell-and tube heat exchanger while the water flows through four tubes of diameter 1.25 cm at a rate of 0.25 kg/s through each tube. The water enters the tubes of th
> Does the reference point selected for the properties of a substance have any effect on thermodynamic analysis? Why?
> The emissivity of a surface coated with aluminum oxide can be approximated to be 0.15 for radiation at wavelengths less than 5 μm and 0.9 for radiation at wavelengths greater than 5 μm. Determine the average emissivity of this surface at (a) 5800 K and (
> Consider a closed-loop heat exchanger that carries exit water (cp = 1 Btu/lbm⋅°F and ρ = 62.4 lbm/ft3) of a condenser side initially at 100°F. The water flows through a 500-ft long stainless steel pipe of 1 in inner diameter immersed in a large lake. The
> The variations of the spectral emissivity of two surfaces are as given in Fig. P21–40. Determine the average emissivity of each surface at T = 3000 K. Also, determine the average absorptivity and reflectivity of each surface for radiati
> Reconsider Prob. 22–104. Using appropriate software, investigate the effects of the condensing steam temperature and the tube diameter on the rate of heat transfer and the rate of condensation of steam. Let the steam temperature vary fr
> How does microwave cooking differ from conventional cooking?
> Steam is to be condensed on the shell side of a one-shell pass and eight-tube-passes condenser, with 50 tubes in each pass, at 30°C (hfg = 2431 kJ/kg). Cooling water (cp = 4180 J/kg⋅K) enters the tubes at 18°C at a
> Saturated water vapor at 100°C condenses in a one-shell and two-tube heat exchanger with a surface area of 0.5 m2 and an overall heat transfer coefficient of 2000 W/m2⋅K. Cold water (cpc = 4179 J/kg⋅K) flowi
> The emissivity of a tungsten filament can be approximated to be 0.5 for radiation at wavelengths less than 1 μm and 0.15 for radiation at greater than 1 μm. Determine the average emissivity of the filament at (a) 1500 K and (b) 2500 K. Also, determine th
> Ethanol is vaporized at 78°C (hfg = 846 kJ/kg) in a double-pipe parallel-flow heat exchanger at a rate of 0.04 kg/s by hot oil (cp = 2200 J/kg⋅K) that enters at 115°C. If the heat transfer surface area and the over
> The spectral emissivity function of an opaque surface at 1000 K is approximated as; Determine the average emissivity of the surface and the rate of radiation emission from the surface, in W/m2.
> Steam at 400°C has a specific volume of 0.02 m3/kg. Determine the pressure of the steam based on (a) the ideal-gas equation, (b) the generalized compressibility chart, and (c) the steam tables.
> Water (cp = 4180 J/kg⋅K) enters the 2.5-cm-internal diameter tube of a double-pipe counterflow heat exchanger at 20°C at a rate of 2.2 kg/s. Water is heated by steam condensing at 120°C (hfg = 2203 kJ/kg) in the shell. If the overall heat transfer coeffi
> A furnace that has a 40-cm × 40-cm glass window can be considered to be a blackbody at 1200 K. If the transmissivity of the glass is 0.7 for radiation at wavelengths less than 3 μm and zero for radiation at wavelengths greater than 3 μm, determine the fr
> Consider the operation of a single-pass crossflow heat exchanger with water (cp = 4193 J/kg⋅K) (mixed) and methanol (cp = 2577 J/kg⋅K) (unmixed). Water entering and exiting the heat exchanger at 90°C and 60°C, respectively is used to heat the methanol, w
> What is the greenhouse effect? Why is it a matter of great concern among atmospheric scientists?
> In a thin-walled double-pipe heat exchanger, when is the approximation U = hi a reasonable one? Here U is the overall heat transfer coefficient and hi is the convection heat transfer coefficient inside the tube.
> Define the properties reflectivity and transmissivity, and discus the different forms of reflection.
> Classify heat exchangers according to flow type, and explain the characteristics of each type.
> Define the properties emissivity and absorptivity. When are these two properties equal to each other?
> What is a gray body? How does it differ from a blackbody? What is a diffuse gray surface?
> Consider the sun, which is considered to be a blackbody with a surface temperature of roughly 5800 K. Determine the percentage of solar energy (a) in the visible range, (b) at wavelengths shorter than the visible range, and (c) at wavelengths longer than
> Ethane at 10 MPa and 100°C is heated at constant pressure until its volume has increased by 60 percent. Determine the final temperature using (a) the ideal-gas equation of state and (b) the compressibility factor. Which of these two results is the more a
> A 3-mm-thick glass window transmits 90 percent of the radiation between λ = 0.3 and 3.0 μm and is essentially opaque for radiation at other wavelengths. Determine the rate of radiation transmitted through a 3-m × 3-m glass window from blackbody sources a
> The sun can be treated as a blackbody at an effective surface temperature of 10,400 R. Determine the rate at which infrared radiation energy (λ = 0.76 − 100 μm) is emitted by the sun, in Btu/h⋅ft2.
> What is thermal radiation? How does it differ from the other forms of electromagnetic radiation?
> It is desired that the radiation energy emitted by a light source reach a maximum in the blue range (λ = 0.47 μm). Determine the temperature of this light source and the fraction of radiation it emits in the visible range (λ = 0.40 − 0.76 μm).
> Reconsider Prob. 21–27. Using appropriate software, investigate the effect of temperature on the fraction of radiation emitted in the visible range. Let the surface temperature vary from 1000 K to 4000 K, and plot the fraction of radiation emitted in the
> The temperature of the filament of an incandescent lightbulb is 2800 K. Treating the filament as a blackbody, determine the fraction of the radiant energy emitted by the filament that falls in the visible range. Also, determine the wavelength at which th
> The temperature of the filament of an incandescent lightbulb is 2500 K. Assuming the filament to be a blackbody, determine the fraction of the radiant energy emitted by the filament that falls in the visible range. Also, determine the wavelength at which
> We wish an incandescent lightbulb to emit at least 15 percent of its energy at wavelengths shorter than 0.8 μm. Determine the minimum temperature to which the filament of the lightbulb must be heated.
> A circular ceramic plate that can be modeled as a blackbody is being heated by an electrical heater. The plate is 30 cm in diameter and is situated in a surrounding ambient temperature of 15°C where the natural convection heat transfer coeffic
> A thin vertical copper plate is subjected to a uniform heat flux of 1000 W/m2 on one side, while the other side is exposed to ambient surroundings at 5°C. The surface of the plate is oxidized black and can be treated as a blackbody. The heat t
> On the property diagrams indicated below, sketch (not to scale) with respect to the saturated liquid and saturated vapor lines and label the following processes and states for refrigerant 134a. Use arrows to indicate the direction of the process, and lab
> Consider a black spherical ball, with a diameter of 25 cm, that is suspended in air. Determine the surface temperature of the ball that should be maintained in order to heat 10 kg of air from 20 to 30°C in 5 minutes.
> The sun can be treated as a blackbody at 5780 K. Using appropriate software, calculate and plot the spectral blackbody emissive power Ebλ of the sun versus wavelength in the range of 0.01 μm to 1000 μm. Discuss the results.
> By what properties is an electromagnetic wave characterized? How are these properties related to each other?
> At a wavelength of 0.7 μm, the blackbody emissive power is equal to 108 W/m3. Determine (a) the temperature of the blackbody and (b) the total emissive power at this temperature.
> A flame from a match may be approximated as a black body at the effective surface temperature of 1700 K, while moonlight may be approximated as a blackbody at the effective surface temperature of 4000 K, respectively. Determine the peak spectral blackbod
> Consider a surface at a uniform temperature of 1000 K. Determine the maximum rate of thermal radiation that can be emitted by this surface, in W/m2.
> Why did we define the blackbody radiation function? What does it represent? For what is it used?
> Define the total and spectral blackbody emissive powers. How are they related to each other? How do they differ?
> What is a blackbody? Does a blackbody actually exist?
> A tank contains helium at 37°C and 140 kPa gage. The helium is heated in a process by heat transfer from the surroundings such that the helium reaches a final equilibrium state at 200°C. Determine the final gage pressure of the helium. Assume atmospheric
> The electromagnetic spectrum that lies between 0.40 and 0.76 μm is what we call visible light. Within this spectrum, the color violet has the shortest wavelength while the color red has the longest wavelength. Determine which of these colors, violet (λ =
> A furnace is of cylindrical shape with a diameter of 1.2 m and a length of 1.2 m. The top surface has an emissivity of 0.60 and is maintained at 450 K. The bottom surface has an emissivity of 0.50 and is maintained at 800 K. The side surface has an emiss
> Consider a cubical furnace with a side length of 3 m. The top surface is maintained at 700 K. The base surface has an emissivity of 0.90 and is maintained at 950 K. The side surface is black and is maintained at 450 K. Heat is supplied from the base surf
> Two concentric spheres of diameters D1 = 15 cm and D2 = 25 cm are separated by air at 1 atm pressure. The surface temperatures of the two spheres enclosing the air are T1 = 350 K and T2 = 275 K, respectively, and their emissivities are 0.75. Determine th
> A 2-m-internal-diameter double-walled spherical tank is used to store iced water at 0°C. Each wall is 0.5 cm thick, and the 1.5-cm-thick airspace between the two walls of the tank is evacuated in order to minimize heat transfer. The surfaces s
> An electromagnetic wave with a wavelength of 0.5 μm is being propagated in different media: air, water, and glass. The refractive index of air, water, and glass are 1, 1.33, and 1.5, respectively. Determine the photon energy, in eV, of the electromagnet
> A solar collector consists of a horizontal aluminum tube of outer diameter 5 cm enclosed in a concentric thin glass tube of 7 cm diameter. Water is heated as it flows through the aluminum tube, and the annular space between the aluminum and glass tubes i
> A vertical 2-m-high and 5-m-wide double-pane window consists of two sheets of glass separated by a 3-cm-thick air gap. In order to reduce heat transfer through the window, the air space between the two glasses is partially evacuated to 0.3 atm pressure.
> A solar collector consists of a horizontal copper tube of outer diameter 5 cm enclosed in a concentric thin glass tube of 9 cm diameter. Water is heated as it flows through the tube, and the annular space between the copper and glass tube is filled with
> A large number of long tubes, each of diameter D, are placed parallel to each other and at a center to-center distance of s. Since all of the tubes are geometrically similar and at the same temperature, these could be treated collectively as one surface
> Does the amount of heat absorbed as 1 kg of saturated liquid water boils at 100°C have to be equal to the amount of heat released as 1 kg of saturated water vapor condenses at 100°C?
> Consider a 1.2-m-high and 2-m-wide double-pane window consisting of two 3-mm-thick layers of glass (k = 0.78W/m⋅K) separated by a 2.5-cm-wide airspace. Determine the steady rate of heat transfer through this window and the temperature of its inner surfac
> A dryer is shaped like a long semicylindrical duct of diameter 1.5 m. The base of the dryer is occupied by water-soaked materials to be dried, and it is maintained at a temperature of 370 K and emissivity of 0.5. The dome of the dryer is maintained at 1
> A spherical vessel with a 30.0-cm outside diameter is used as a reactor for a slow endothermic reaction. The vessel is completely submerged in a large water-filled tank, held at a constant temperature of 30°C. The outside surface temperature of the vess
> Two parallel concentric disks, 20 cm and 40 cm in diameter, are separated by a distance of 10 cm. The smaller disk (ε = 0.80) is at a temperature of 300°C. The larger disk (ε = 0.60) is at a temperature of 800°C. (a) Calculate the radiation view factors.
> A 6-m-internal-diameter spherical tank made of 1.5-cm thick stainless steel (k = 15 W/m⋅K) is used to store iced water at 0°C in a room at 20°C. The walls of the room are also at 20°C. The outer surface of the tank is black (emissivity ε = 1), and heat t
> Two parallel black disks are positioned coaxially with a distance of 0.25 m apart. The lower disk is 0.2 m in diameter and the upper disk is 0.4 m in diameter. If the lower disk is heated electrically at 20 W to maintain a uniform temperature of 500 K, d
> Consider an industrial furnace that resembles a 13-ft long horizontal cylindrical enclosure 8 ft in diameter whose end surfaces are well insulated. The furnace burns natural gas at a rate of 48 therms/h. The combustion efficiency of the furnace is 82 per
> Consider a cylindrical enclosure with A1, A2, and A3 representing the internal base, top, and side surfaces, respectively. Using the length-to-diameter ratio, K = L/D, determine (a) the expression for the view factor from the side surface to itself F33 i
> Hot water is flowing at an average velocity of 4 ft/s through a cast iron pipe (k = 30 Btu/h⋅ft⋅°F) whose inner and outer diameters are 1.0 in and 1.2 in, respectively. The pipe passes through a 50 ft-long section of a basement whose temperature is 60°F.
> Consider an enclosure consisting of eight surfaces. How many view factors does this geometry involve? How many of these view factors can be determined by the application of the reciprocity and the summation rules?
> Reconsider Prob. 4–108. Using appropriate software, investigate the effect of the initial pressure of refrigerant-134a on the volume of the tank. Let the initial pressure vary from 0.5 to 1.5 MPa. Plot the volume of the tank versus the
> A 12-cm-diameter and 15-m-long cylinder with a surface temperature of 10°C is placed horizontally in air at 40°C. Calculate the steady rate of heat transfer for the cases of (a) free-stream air velocity of 10 m/s due to normal winds and (b) no winds and
> A horizontal opaque flat plate is well insulated on the edges and the lower surface. The top surface has an area of 5 m2, and it experiences uniform irradiation at a rate of 5000 W. The plate absorbs 4000 W of the irradiation, and the surface is losing h
> A 40-cm-diameter, 110-cm-high cylindrical hot-water tank is located in the bathroom of a house maintained at 20°C. The surface temperature of the tank is measured to be 44°C and its emissivity is 0.4. Taking the surrounding surface temperature to be als
> Solar radiation is incident on the front surface of a thin plate with direct and diffuse components of 300 and 250 W/m2, respectively. The direct radiation makes a 30° angle with the normal of the surface. The plate surfaces have a solar absor
> Exhaust gases from a manufacturing plant are being discharged through a 10-m-tall exhaust stack with outer diameter of 1 m. The exhaust gases are discharged at a rate of 0.125 kg/s, while temperature drop between inlet and exit of the exhaust stack is 30
> The surface in Prob. 21–109 receives solar radiation at a rate of 470 W/m2. Determine the solar absorptivity of the surface and the rate of absorption of solar radiation.
> The density of liquid water can be correlated as ρ(T) = 1000 − 0.0736T − 0.00355T2 where ρ and T are in kg/m3 and °C, respectively. Determine the volume expansion coefficient at 70°C. Compare the result with the value tabulated.
> A radio station is broadcasting radio waves at a wavelength of 150 m. Determine the frequency of these waves.
> Repeat Prob. 20–87E for a circular horizontal duct of diameter 4 in. Evaluate air properties at a film temperature of 115°F and 1 atm pressure. Is this a good assumption? Data from Prob. 20-87: The components of an electroni
> The spectral absorptivity of an opaque surface is as shown in Fig. P21-109. Determine the absorptivity of the surface for radiation emitted by a source at (a) 1000 K and (b) 3000 K.
> A tank whose volume is unknown is divided into two parts by a partition. One side of the tank contains 0.03 m3 of refrigerant-134a that is a saturated liquid at 0.9 MPa, while the other side is evacuated. The partition is now removed, and the refrigerant
> Repeat Prob. 20–87E assuming the fan fails and thus all heat generated inside the duct must be rejected to the ambient air by natural convection through the outer surfaces of the duct. Evaluate air properties at a film temperature of 12
> The spectral emissivity of an opaque surface at 1200 K is approximated as; ε1 = 0 for λ < 2 μm ε2 = 0.85 for 2 ≤ λ ≤ 6 μm ε3 = 0 for λ > 6 μm Determine the total emissivity and the emissive flux of the surface.
> The human skin is “selective” when it comes to the absorption of the solar radiation that strikes it perpendicularly. The skin absorbs only 50 percent of the incident radiation with wavelengths between λ1 = 0.517 μm and λ2 = 1.552 μm. The radiation with
> The components of an electronic system dissipating 150 W are located in a 5-ft-long horizontal duct whose cross section is 6 in × 6 in. The components in the duct are cooled by forced air, which enters at 85°F at a rate of 22 cfm
> An automotive engine can be approximated as a 0.4-m-high, 0.60-m-wide, and 0.7-m-long rectangular block. The bottom surface of the block is at a temperature of 75°C and has an emissivity of 0.92. The ambient air is at 5°C, and the r
> Daylight and incandescent light may be approximated as blackbodies at the effective surface temperatures of 5800 K and 2800 K, respectively. Determine the wavelength at maximum emission of radiation for each of the lighting sources.
> An electronic box that consumes 200 W of power is cooled by a fan blowing air into the box enclosure. The dimensions of the electronic box are 15 cm × 50 cm × 50 cm, and all surfaces of the box are exposed to the ambient environ
> A 1-m-diameter spherical cavity is maintained at a uniform temperature of 600 K. Now a 5-mm-diameter hole is drilled. Determine the maximum rate of radiation energy streaming through the hole. What would your answer be if the diameter of the cavity were
> Consider a house that is maintained at a constant temperature of 22°C. One of the walls of the house has three single-pane glass windows that are 1.5 m high and 1.8 m long. The glass (k = 0.78 W/m⋅K) is 0.5 cm thick, and the heat transfer coefficient on
