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Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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
Transcribed Image Text:A hot plate of length 0.75 m, width 0.5 m, and
thickness 2 cm is placed in an air stream at
20°C. It is estimated that a total of 300W is lost
from the plate surface by radiation. Taking the
convective heat transfer coefficient as 25 W/
m2K, and thermal conductivity of the plate as
43 W/mK, calculate the inside temperature of
the plate.
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- A common annoyance in cars during winter is the formation of fog on the glass surfaces that blocks the view. A practical way of solving this problem is to blow hot air or to attach electric resistance heaters to the inner surfaces. Consider the rear window of a car that consists of a 0.4-cm-thick glass (k = 0.84 W/m-K and a = 0.39 x 10-6 m2/s). Strip heater wires of negligible thickness are attached to the inner surface of the glass, 4 cm apart. Each wire generates heat at a rate of 25 W/m length. Initially, the entire car, including its windows, is at the outdoor temperature of To= -3°C. The heat transfer coefficients at the inner and outer surfaces of the glass can be taken to be h;= 6 and ho= 20 W/m².K, respectively. Use the explicit finite difference method with a mesh size of Ax = 0.2 cm along the thickness and Ay=1 cm in the direction normal to the heater wires. Inner surface Thermal -symmetry line 5 6 Heater 25 W/m 7 8 9 Outer surface Glass 0.2 cm 1 cm Thermal symmetry line 1)…arrow_forwardA household oven door of 0.4 m height and 0.6 m width reaches an average surface temperature of 50°C during operation. Estimate the total heat loss to the room with ambient air at 22°C and convective heat transfer coefficient 5 W/m².K, if the door has an emissivity of 0.83 and the surroundings are also at 22°C.arrow_forwardA 21.5-cm-wide and 31 cm high vertical hot surface in 20°C air is to be cooled by a heat sink with equally spaced fins of rectangular profile. The fins are 0.1 cm thick, 4 cm wide, and 31-cm- long in the vertical direction. Given: Consider the characteristic length to be the height of the surface. The properties of air at T₁ = 52.5°C: k = 0.02753 W/m °C, v= 1.823 × 10–5 m²/s, Pr = 0.7222 a. Determine the optimum fin spacing of the heat sink if the base temperature is 85°C. b. Determine the rate of heat transfer by natural convection from the heat sink if the base temperature is 85°C.arrow_forward
- The wall of an oven in an industrial plant, made of fire brick (k = 0.71 W/m/K) has thickness of L = 15 cm. The oven is exposed to air at 28oC and the surfaces of the far surroundings are at 20oC. If the temperature of the outer surface of the wall is 92oC and the heat transfer coefficient and emissivity are 20 W/(m^2*K) and 0.8 respectively, determine the temperature of the inner surface of the wall.arrow_forwardA mercury-in-glass thermometer having a diameter of 6 mm is placed in a verti- cal position to measure the air temperature in a metal warehouse in the summer. The walls of the warehouse are at 50°C. The convection coefficient is 7 W/m² - °C, and the emissivity of the thermometer may be taken as € = 0.9. Calculate the temperature indicated by the thermometer if the air temperature is 32°C.arrow_forwardA thin board of 0.5 cm thickness is exposed to a fluid of T, = 22°C and h = 30 W/m².K from one side with an emissivity of 0.7 where it faces a surrounding whose temperature is Tsur = 30°C. A heat flux of q" = 3500 W/m? is applied to the other side. Each side has an area of 12cm×12cm. Tsur (a) If the board has the following properties: k = 15.1 W/m.K, c, = 480 J/kg.K and p = 8055 kg/m², express an equation for the variation of temperature with respect to time. (b) Find the initial time rate of change of the board temperature if the initial board temperature is q" h 50°C.arrow_forward
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