processing plant is convectively heating a solid half-sphere of radius of 12 cm made of pure aluminum (k 237 W/m-K) by placing it on an nsulated surface as shown in Fig. 1. It is exposed to hot exhaust gas at 300°C with a convection coefficient of 180 W/m²-K. Is the lumped capacitance approximation valid? Figure 1: Half-sphere f the plant wants to heat the half-sphere of the previous problem keeping t on an insulated surface as shown in Fig. 2, what is the maximum possible convection coefficient allowed to keep the temperature of the half-sphere uniform during the heating process? Figure 2: Inverted half-sphere

processing plant is convectively heating a solid half-sphere of radius of 12 cm made of pure aluminum (k 237 W/m-K) by placing it on an nsulated surface as shown in Fig. 1. It is exposed to hot exhaust gas at 300°C with a convection coefficient of 180 W/m²-K. Is the lumped capacitance approximation valid? Figure 1: Half-sphere f the plant wants to heat the half-sphere of the previous problem keeping t on an insulated surface as shown in Fig. 2, what is the maximum possible convection coefficient allowed to keep the temperature of the half-sphere uniform during the heating process? Figure 2: Inverted half-sphere

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.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.38P: 2.38 The addition of aluminum fins has been suggested to increase the rate of heat dissipation from...

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Heat is transferred at a rate of 0.1 kW through glass wool insulation (density=100kg/m3) with a 5-cm thickness and 2-m2 area. If the hot surface is at 70C, determine the temperature of the cooler surface.
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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.
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Consider two identical people each generating 60W of metabolic heat steadily while doing sedentary work anddissipating it by convection and perspiration. The first personis wearing clothes made of 1-mm-thick leather (k =0.159 W/m·K) that covers half of the body while the secondone is wearing clothes made of 1-mm-thick synthetic fabric(k = 0.13 W/m·K) that covers the body completely. Theambient air is at 30°C, the heat transfer coefficient at theouter surface is 15 W/m2·K, and the inner surface temperatureof the clothes can be taken to be 32°C. Treating the bodyof each person as a 25-cm-diameter, 1.7-m-long cylinder,determine the fractions of heat lost from each person by perspiration.
In a new residential project, you strongly believe that double-paned windows are ‘better’ than single-paned windows. Compare the rate of heat loss between single and double-paned windows(1.5 m x 1 m) if the thickness of each pane is (th = 0.4 cm) and (k = 0.9 W/m.K). The indoor and outdoor temperatures are 18 °C and 2 °C, respectively. Thickness of the air gap between the double-paned windows is (th = 1 cm), and (k = 0.022 W/m.K). Image credit: Windowwhirl.
In a new residential project, you strongly believe that double-paned windows are ‘better’ than single-paned windows. Compare the rate of heat loss between single and double-paned windows (1.5 m x 1 m) if the thickness of each pane is (th = 0.4 cm) and (k = 0.9 W/m.K). The indoor and outdoor temperatures are 18 °C and 2 °C, respectively. Thickness of the air gap between the double-paned windows is (th = 1 cm), and (k = 0.022 W/m.K).