Introduction to Heat Transfer
6th Edition
ISBN: 9780470501962
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 4, Problem 4.54P
To determine
We have to determine the heat loss from the flute per unit length when the interior and exterior temperature maintained at 350 and
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A wall is made up of brick of thermal conductivity 1.0 W/(m.K),230 mm thick .It is lined on the inner face with plaster of thermal conductivity of 0.4 W/(m.K),and of thickness 10 mm .If a temperature difference of 30K is maintained between the two faces .What is the heat flow per unit area of wall?
1. A simple cavity wall consists of two brick layers separated by an air gap of 50 mm. If the inside air temperature is 20oC and the ambient outside temperature is 5 oC, calculate the heat flux through the wall. Bricks are 100 mm thick with thermal conductivity kbrick = 0.5 W/m K, hin = 10 W/m2 K, hout = 20 W/m2 K. The internal air cavity can be considered still (no convection) with kair = 0.015 W/m K.
2. On a day in winter, the outside air temperature drops to -5 oC and the outside convective heat transfer changes to hout = (2 x V) + 8.9 W/m2 K. If the outside wind speed gusts at 50 kph, calculate the change in heat flux for the wall in question 3.
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A double-glazed window is constructed such that it has 5 mm thick glass as the inside layer, 4 mm layer of gas, and finally 5 mm thick glass as the outer layer. Which have thermal conductivies of 0.7, 2.120, and 5.9 W m-1 K-1, respectively.
Calculate the heat loss per unit area, Wm-2 through the glass if the inside temperature of the glass is 11.09 °C and the outside temperature is 6.47 °C
Report your answer to 2 decimal places.
Chapter 4 Solutions
Introduction to Heat Transfer
Ch. 4 - In the method of separation of variables (Section...Ch. 4 - A two-dimensional rectangular plate is subjected...Ch. 4 - Consider the two-dimensional rectangular plate...Ch. 4 - A two-dimensional rectangular plate is subjected...Ch. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Free convection heat transfer is sometimes...Ch. 4 - Prob. 4.8PCh. 4 - Radioactive wastes are temporarily stored in a...Ch. 4 - Based on the dimensionless conduction heat rates...
Ch. 4 - Prob. 4.11PCh. 4 - A two-dimensional object is subjected to...Ch. 4 - Prob. 4.13PCh. 4 - Two parallel pipelines spaced 0.5 m apart are...Ch. 4 - A small water droplet of diameter D=100m and...Ch. 4 - Prob. 4.16PCh. 4 - Pressurized steam at 450 K flows through a long,...Ch. 4 - Prob. 4.19PCh. 4 - A furnace of cubical shape, with external...Ch. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - A pipeline, used for the transport of crude oil,...Ch. 4 - A long power transmission cable is buried at a...Ch. 4 - Prob. 4.25PCh. 4 - A cubical glass melting furnace has exterior...Ch. 4 - Prob. 4.27PCh. 4 - An aluminum heat sink k=240W/mK, used to coolan...Ch. 4 - Hot water is transported from a cogeneration power...Ch. 4 - Prob. 4.30PCh. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - An igloo is built in the shape of a hemisphere,...Ch. 4 - Consider the thin integrated circuit (chip) of...Ch. 4 - Prob. 4.35PCh. 4 - The elemental unit of an air heater consists of a...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Determine expressions for...Ch. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - Derive the nodal finite-difference equations for...Ch. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Consider a one-dimensional fin of uniform...Ch. 4 - Prob. 4.50PCh. 4 - Prob. 4.52PCh. 4 - Prob. 4.53PCh. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - Steady-state temperatures at selected nodal points...Ch. 4 - Prob. 4.58PCh. 4 - Prob. 4.60PCh. 4 - The steady-state temperatures C associated with...Ch. 4 - A steady-state, finite-difference analysis has...Ch. 4 - Prob. 4.64PCh. 4 - Consider a long bar of square cross section (0.8 m...Ch. 4 - Prob. 4.66PCh. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Consider Problem 4.69. An engineer desires to...Ch. 4 - Consider using the experimental methodology of...Ch. 4 - Prob. 4.72PCh. 4 - Prob. 4.73PCh. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - Prob. 4.76PCh. 4 - Prob. 4.77PCh. 4 - Prob. 4.78PCh. 4 - Prob. 4.79PCh. 4 - Prob. 4.80PCh. 4 - Spheres A and B arc initially at 800 K, and they...Ch. 4 - Spheres of 40-mm diameter heated to a uniform...Ch. 4 - To determine which parts of a spiders brain are...Ch. 4 - Prob. 4.84P
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- 1.4 To measure thermal conductivity, two similar 1-cm-thick specimens are placed in the apparatus shown in the accompanying sketch. Electric current is supplied to the guard heater, and a wattmeter shows that the power dissipation is 10 W. Thermocouples attached to the warmer and to the cooler surfaces show temperatures of 322 and 300 K, respectively. Calculate the thermal conductivity of the material at the mean temperature in W/m K. Problem 1.4arrow_forwardRepeat Problem 1.35 but assume that instead of surface temperatures, the given temperatures are those of the air on the left and right sides of the wall and that the convection heat transfer coefficients on the left and right surfaces are 6 and 10W/m2K, respectively.arrow_forwardH.W.5 A wall having a thickness of (4cm) has an internal heat generation of (280MW/m') and a thermal conductivity of (15 W/m.C). One side of the plate is insulated and the other side exposed to air at (30C) and heat transfer coefficient of (10W/m².C). Start from the principle to determine the maximum temperature in the plate and draw the temperature profile inside the wall.arrow_forward
- Calculate the natural convection heat transfer coefficient for a vertical stainless pipe, 100 mm outside diameter, 0.75 m long. The pipe surface temperature is 125 ° C, and the air temperature is 30 ° C. Convection coefficient = Answer W / m² ° C.arrow_forward2.2: Water at a temperature of T∞= 25°C flows over one ofthe surfaces of a steel wall (AISI 1010) whose temperatureis Ts,1= 40°C and thermal conductivity of steel is 671 w/m.k. The wall is 0.35 m thick, and itsother surface temperature is Ts,2= 100°C. For steadystateconditions what is the convection coefficient associatedwith the water flow?arrow_forwardDetermine the optimum thickness from an economic point of view, of insulation for a steam pipe 100 mm dia. at 465°C. The insulation conductivity is 1.55 x 10 kW/mK, the natural convection coefficient -4 on the insulation outer surface is 0.0112 kW/m2K, the insulation cost is £70/m³ plus a fixed charge of 160p. per metre run of pipe and the cost is to be spread over 5 veres. The oil fuel, of density 900 kg/m³, costs 1.lp. per litre and is used to raise steam in a boiler of 90% efficiency. The fuel calorific value is 41,000 kJ/Kg and the air temperature surrounding the insulation is 27°c.arrow_forward
- W m.K W m².K' W An insulation material of thermal conductivity k = 0.05; is sandwiched between thin metal sheets of negligible thickness. It is used as the material of the wall of a drying oven. The air inside the oven is 300°C with a convection heat transfer coefficient of 30 The inner wall surface is subjected to a constant radiant heat flux of 100 from hotter objects inside the oven. The air inside the room where the oven is situated has a temperature of 25°C and the combined heat transfer coefficient for W convection and radiation from the outer surface is 10- If the outer surface temperature of the oven m².K is safe to touch at a temperature of 40°C, what is the required rate of heat loss from the wall in ₂? W m²arrow_forwardExample2:Thickness of plate (6mm) .Thermal conductivity (20W/m.°C) ,heat generation (3x10'W/m) .heat thermal coefficient between plate surface and fluid supplied (4000W/m?.°C ,3158 W/m?.°C) respectively and fluid temperature (120°C,140°C) respectively .Calculate left and right sides surfaces .If max temperature lies on (2mm) from the side that fluid temperature is (140°C) .so Calculate max temperature can the plate reached to it.arrow_forwardAn overhead 65-m-long, uninsulated industrial steam pipe of 80 mm diameter is routed through a building whose walls and air are at 30 °C. Pressurized steam maintains a pipe surface temperature of 200 "C, and the coefficient associated with natural convection is h = 15 W/m'K. The surface emissivity is e= steam line? 0.6. What is the rate of heat loss from thearrow_forward
- Problem 1 A hot water pipe is used for domestic applications is insulated with a layer of calcium silicate. If the insulation is 25 mm thick and its inner and outer surfaces are maintained at Ts,1 = 800 K and Ts,2 = 400 K, respectively. The outside diameter is 0.12 m. Given the thermal conductivity calcium silicate insulation equals to 0.09 W/m.K. A. Define the difference between lagged and unlagged pipes. B. Calculate the heat loss per unit length for this pipe.arrow_forwardProblem 4: A steel cooling spine of cross-sectional 1.2" x 1.2" and length L = 8" extends from a wall maintained at temperature T = 100 °F (see below picture). The thermal conductivity of steel material is k = 6.9034e-3 BTU/s.ft. °F. The surface convection coefficient between the & surrounding air is h=2.778e-4 BTU/s.ft² °F. The air temperature is T = 0 °F and the tip of the spine is insulated. Run ANSYS steady state thermal analysis. h, Ta CONVECTION is APPLIED ON ALL THE POUR LONGITUDINAL FACES What to Submit: .Contour of Temperature Plot .Heat Flux Plot Tw=100°F PRT_CSYS_DEF X WALL CROSS SECTION = 1.2" x 1.2" L=8" INSULATEDarrow_forwardAfter a thorough derivation by Doraemon to establish an equation for cylindrical fuel rod of a nuclear reactor. Here he was able to come up an equation of heat generated internally as shown below. 9G = 9. where qG is the local rate of heat generation per unit volume at radius r, ro is the outside radius, and qo is the rate of heat generation per unit volume at the centre line. Calculate the temperature drop from the centre line to the surface for a 2.5 cm outer diameter rod having k = 25 W/m K, if the rate of heat removal from the surface is 1650 kW/m² А) 619°C В 719 °C C) 819 °C D) 919 °C E 1019 °C F None of thesearrow_forward
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