Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
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Chapter 9, Problem 9.51P
To determine
Temperature plate reaches.
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Consider a very thin plate that is mounted and attached on a horizontal board. The plate
is subject to an infrared lamp providing a uniform thermal radiation of 2000 W/m?. The
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temperature of 30 °C. The surface area of the plate is 1 m2 and it's surface temperature
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Required:
Draw a clear and consistent schematic of the problem and label the operating
conditions on the schematic. Perform systematic analysis, state your assumptions and
justify the equation used and determine the convection heat transfer coefficient of
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A 5-m-internal-diameter spherical tank made of 1.5-cm-thick stainless steel (k = 15 W/m-°C) is used to store iced water at 0°C. The tank is located in a room whose temperature is 30°C. The walls of the room are also at 30°C. The outer surface of the tank is gray (emissivity = 0.9), and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are 80 W/m²-°C and 10 W/m²-°C, respectively. Determine the amount of ice at 0°C that melts during a 24-h period. The heat of fusion of water at atmospheric pressure is hfg = 333.7 kJ/kg.\
ANSWER:_____kg
A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures
are T = 20°C and Tsur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m2-K, and the absorptivity of the
exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m2, if the wall surface
temperature is T; = 29°C. Assume the exposed wall surface is gray, and the surroundings are large.
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W/m?
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Chapter 9 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 9 - The one-dimensional plane wall of Figure 3.1 is of...Ch. 9 - Using the values of density for water in Table...Ch. 9 - Consider an object of Characteristic length 0.01 m...Ch. 9 - To assess the efficacy of different liquids for...Ch. 9 - In many cases, we are concerned with free...Ch. 9 - The heat transfer rate due to free convection from...Ch. 9 - Consider a large vertical plate with a uniform...Ch. 9 - For laminar free convection flow on a vertical...Ch. 9 - Consider an array of vertical rectangular tins,...Ch. 9 - A number of thin plates are to be cooled by...
Ch. 9 - Prob. 9.11PCh. 9 - Prob. 9.13PCh. 9 - The plate described in Problem 9.14 has been used...Ch. 9 - Determine the average convection heat transfer...Ch. 9 - Consider a vertical plate of dimension 0.025m0.50m...Ch. 9 - During a winter day, the window of a patio door...Ch. 9 - Prob. 9.20PCh. 9 - A household oven door of 0.5-m height and 0.7-m...Ch. 9 - Consider a vertical, single-pane window of...Ch. 9 - Consider laminar flow about a vertical isothermal...Ch. 9 - Consider the conveyor system described in Problem...Ch. 9 - Prob. 9.25PCh. 9 - Consider an experiment to investigate the...Ch. 9 - The vertical rear window of an automobile is of...Ch. 9 - Prob. 9.28PCh. 9 - Prob. 9.29PCh. 9 - Prob. 9.30PCh. 9 - A refrigerator door has a height and width of...Ch. 9 - In the central receiver concept of a solar power...Ch. 9 - Prob. 9.34PCh. 9 - Airflow through a long, 0.2-m-square air...Ch. 9 - Prob. 9.36PCh. 9 - An electrical heater in the form of a horizontal...Ch. 9 - Consider a horizontal 6-mm-thick, 100-mm-long...Ch. 9 - Prob. 9.39PCh. 9 - Prob. 9.40PCh. 9 - Prob. 9.41PCh. 9 - Many laptop computers are equipped with thermal...Ch. 9 - Prob. 9.43PCh. 9 - At the end of its manufacturing process, a silicon...Ch. 9 - Integrated circuit (IC) boards are stacked within...Ch. 9 - Prob. 9.48PCh. 9 - Prob. 9.50PCh. 9 - Prob. 9.51PCh. 9 - Prob. 9.52PCh. 9 - Prob. 9.53PCh. 9 - Prob. 9.54PCh. 9 - Prob. 9.55PCh. 9 - Prob. 9.56PCh. 9 - Prob. 9.57PCh. 9 - A horizontal tube of 12.5-mm diameter with an...Ch. 9 - Prob. 9.60PCh. 9 - Prob. 9.61PCh. 9 - Prob. 9.63PCh. 9 - Prob. 9.64PCh. 9 - Common practice in chemical processing plants is...Ch. 9 - Consider the electrical heater of Problem 7.49. If...Ch. 9 - Prob. 9.67PCh. 9 - A billet of stainless steel, AISI 316, with a...Ch. 9 - Lone stainless steel rods of 50-mm diameter are...Ch. 9 - Hot air flows from a furnace through a...Ch. 9 - A biological fluid moves at a flow rate of...Ch. 9 - A sphere of 25-mm diameter contains an embedded...Ch. 9 - Prob. 9.79PCh. 9 - A vertical array of circuit boards is immersed in...Ch. 9 - Prob. 9.81PCh. 9 - The front door of a dishwasher of width 580 mm has...Ch. 9 - A natural convection air healer consists of an...Ch. 9 - A bank of drying ovens is mounted on a rack in a...Ch. 9 - Prob. 9.85PCh. 9 - Prob. 9.86PCh. 9 - Prob. 9.87PCh. 9 - To reduce heat losses, a horizontal rectangular...Ch. 9 - Prob. 9.89PCh. 9 - Prob. 9.90PCh. 9 - Prob. 9.91PCh. 9 - Prob. 9.92PCh. 9 - A 50-mm-thick air gap separates two horizontal...Ch. 9 - Prob. 9.94PCh. 9 - A vertical, double-pane window, which is 1 m on a...Ch. 9 - The top surface (0.5m0.5m) of an oven is 60°C for...Ch. 9 - Prob. 9.97PCh. 9 - Prob. 9.98PCh. 9 - Consider the cylindrical. 0.12-m-diamter radiation...Ch. 9 - Prob. 9.100PCh. 9 - A solar collector design consists of an inner tube...Ch. 9 - Prob. 9.104PCh. 9 - Prob. 9.105PCh. 9 - Liquid nitrogen is stored in a thin-walled...Ch. 9 - Prob. 9.108PCh. 9 - Prob. 9.109PCh. 9 - Prob. 9.110PCh. 9 - Prob. 9.111PCh. 9 - Prob. 9.114PCh. 9 - Prob. 9.115PCh. 9 - Prob. 9.116PCh. 9 - Prob. 9.117PCh. 9 - A water bath is used to maintain canisters...Ch. 9 - On a very Still morning, the surface temperature...Ch. 9 - Fuel cells similar to the PEM cell of Example 1.5...
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- A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T. exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m2, if the wall surface = 20°C and Tsur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m²-K, and the absorptivity of the temperature is T, = 30°C. Assume the exposed wall surface is gray, and the surroundings are large. gbonv i W/m? Tad i W/m2arrow_forwardA 4-mm-diameter sphere at 50°C is covered by a 1-mm-thick plastic insulation (k=0.13 W/m°C). The sphere is exposed to a medium at 15 °C, with a combined convective and radiative heat transfer coefficient of 20 W/m2 °C. Determine whether the plastic insulation over the sphere will help or harm heat transfer from the sphere.arrow_forwardA one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T. = 20°C and Tgur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m2-K, and the absorptivity of the exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at.x = 0, both in W/m?, if the wall surface temperature is T, = 30°C. Assume the exposed wall surface is gray, and the surroundings are large. g'ony W/m? W/m2 %3Darrow_forward
- A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T, = 20°C and Tsur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m2-K, and the absorptivity of the exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m2, if the wall surface temperature is T, = 29°C. Assume the exposed wall surface is gray, and the surroundings are large. qlony i W/m2 g" i W/m? dradarrow_forwardA one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T = 20°C and Tsur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m².K, and the absorptivity of the exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m², if the wall surface temperature is T = 25°C. Assume the exposed wall surface is gray, and the surroundings are large. q'conv i W/m² = grad = i W/m²arrow_forwardA one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are I = 20°C and Isur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m².K, and the absorptivity of the exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m2, if the wall surface temperature is I = 28°C. Assume the exposed wall surface is gray, and the surroundings are large. = 9 conv i W/m² 9rad i W/m²arrow_forward
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