Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 3, Problem 3.173P
To determine
The conduction heat transfer through an air layer .
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Complete the following problems. Show your work/calculations, save as.pdf and upload to the
assignment in Blackboard.
missing information to present a completed program. (Hint: You may have to look up geometry
for the center drill and standard 0.5000 in twist drill to know the required depth to drill).
1. What are the x and y dimensions for the center position of holes 1,2, and 3 in the part shown in
Figure 26.2 (below)?
6.0000
Zero
reference
point
7118
1.0005
1.0000
1.252
Bore
6.0000
.7118
Cbore
0.2180 deep
(3 holes)
2.6563 1.9445
Figure 26.2
026022 (8lot and Drill Part)
(Setup Instructions---
(UNITS: Inches
(WORKPIECE NAT'L SAE 1020 STEEL
(Workpiece: 3.25 x 2.00 x0.75 in. Plate
(PRZ Location 054:
'
XY 0.0 - Upper Left of Fixture
TOP OF PART 2-0
(Tool List
( T02 0.500 IN 4 FLUTE FLAT END MILL
#4 CENTER DRILL
Dashed line indicates-
corner of original stock
( T04
T02
3.000 diam. slot
0.3000 deep.
0.3000 wide
Intended toolpath-tangent-
arc entry and exit sized to
programmer's judgment…
A program to make the part depicted in Figure 26.A has been created, presented in figure 26.B, but some information still needs to be filled in. Compute the tool locations, depths, and other missing information to present a completed program. (Hint: You may have to look up geometry for the center drill and standard 0.5000 in twist drill to know the required depth to drill).
We consider a laminar flow induced by an impulsively started infinite flat
plate. The y-axis is normal to the plate. The x- and z-axes form a plane parallel
to the plate. The plate is defined by y = 0. For time t <0, the plate and the flow
are at rest. For t≥0, the velocity of the plate is parallel to the 2-coordinate;
its value is constant and equal to uw. At infinity, the flow is at rest. The flow
induced by the motion of the plate is independent of z.
(a) From the continuity equation, show that v=0 everywhere in the flow and
the resulting momentum equation is
მu
Ət
Note that this equation has the form of a diffusion equation (the same form as
the heat equation).
(b) We introduce the new variables T, Y and U such that
T=kt, Y=k/2y, U = u
where k is an arbitrary constant. In the new system of variables, the solution
is U(Y,T). The solution U(Y,T) is expressed by a function of Y and T and the
solution u(y, t) is expressed by a function of y and t. Show that the functions are
identical.…
Chapter 3 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 3 - Consider the plane wall of Figure 3.1, separating...Ch. 3 - A new building to be located in a cold climate is...Ch. 3 - The rear window of an automobile is defogged by...Ch. 3 - The rear window of an automobile is defogged by...Ch. 3 - A dormitory at a large university, built 50 years...Ch. 3 - In a manufacturing process, a transparent film is...Ch. 3 - The walls of a refrigerator are typically...Ch. 3 - A t=10-mm -thick horizontal layer of water has a...Ch. 3 - A technique for measuring convection heat transfer...Ch. 3 - The wind chill, which is experienced on a cold,...
Ch. 3 - Determine the thermal conductivity of the carbon...Ch. 3 - A thermopane window consists of two pieces of...Ch. 3 - A house has a composite wall of wood, fiberglass...Ch. 3 - Consider the composite wall of Problem 3.13 under...Ch. 3 - Consider a composite wall that includes an...Ch. 3 - Work Problem 3.15 assuming surfaces parallel to...Ch. 3 - Consider the oven of Problem 1.54. The walls of...Ch. 3 - The composite wall of an oven consists of three...Ch. 3 - The wall of a drying oven is constructed by...Ch. 3 - The t=4-mm-thick glass windows of an automobile...Ch. 3 - The thermal characteristics of a small, dormitory...Ch. 3 - In the design of buildings, energy conservation...Ch. 3 - When raised to very high temperatures. many...Ch. 3 - A firefighter's protective clothing, referred to...Ch. 3 - A particular thermal system involves three objects...Ch. 3 - A composite wall separates combustion gases at...Ch. 3 - Approximately 106 discrete electrical components...Ch. 3 - Two stainless steel plates 10 mm thick are...Ch. 3 - Consider a plane composite wall that is composed...Ch. 3 - The performance of gas turbine engines may be...Ch. 3 - A commercial grade cubical freezer, 3 m on a side,...Ch. 3 - Physicists have determined the theoretical value...Ch. 3 - Consider a power transistor encapsulated in an...Ch. 3 - Ring-porous woods, such as oak, are characterized...Ch. 3 - A batt of glass fiber insulation is of density...Ch. 3 - Air usually constitutes up to half of the volume...Ch. 3 - Determine the density, specific heat, and thermal...Ch. 3 - A one-dimensional plane wall of thickness L is...Ch. 3 - The diagram shows a conical section fabricated...Ch. 3 - A truncated solid cone is of circular cross...Ch. 3 - From Figure 2.5 it is evident that, over a wide...Ch. 3 - Consider a tube wall of inner and outer radii ri...Ch. 3 - Measurements show that steady-state conduction...Ch. 3 - A device used to measure the surface temperature...Ch. 3 - A steam pipe of 0.12-m outside diameter is...Ch. 3 - Consider the water heater described in Problem...Ch. 3 - To maximize production and minimize pumping costs....Ch. 3 - A thin electrical heater is wrapped around the...Ch. 3 - A stainless steel (AISI 304) tube used to...Ch. 3 - A thin electrical heater is inserted between a...Ch. 3 - A 2-mm-diameter electrical wire is insulated by a...Ch. 3 - Electric current flows through a long rod...Ch. 3 - A composite cylindrical wall is composed of two...Ch. 3 - An electrical current of 700 A flows through a...Ch. 3 - A 0.20-m-diameter. thin-walled steel pipe is used...Ch. 3 - An uninsulated. thin-walled pipe of 100-mm...Ch. 3 - Steam flowing through a long. thin-walled pipe...Ch. 3 - A storage tank consists of a cylindrical section...Ch. 3 - Consider the liquid oxygen storage system and the...Ch. 3 - A spherical Pyrex glass shell has inside and...Ch. 3 - In Example 3.6. an expression was derived for the...Ch. 3 - A hollow aluminum sphere. with an electrical...Ch. 3 - A spherical tank for storing liquid oxygen on the...Ch. 3 - A spherical, cryosurgical probe may be imbedded in...Ch. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - A composite spherical shell of inner radius...Ch. 3 - The energy transferred from the anterior chamber...Ch. 3 - The outer surface of a hollow sphere of radius r2...Ch. 3 - A spherical shell of inner and outer radii r1 and...Ch. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - The air inside a chamber at T,i=50C is heated...Ch. 3 - Prob. 3.80PCh. 3 - A plane wall of thickness 0.1 m and thermal...Ch. 3 - Large, cylindrical bales of hay used to feed...Ch. 3 - Prob. 3.83PCh. 3 - Consider one-dimensional conduction in a plane...Ch. 3 - Consider a plane composite wall that is composed...Ch. 3 - An air heater may be fabricated by coiling...Ch. 3 - Prob. 3.87PCh. 3 - Consider uniform thermal energy generation inside...Ch. 3 - A plane wall of thickness and thermal conductivity...Ch. 3 - A nuclear fuel element of thickness 21, is covered...Ch. 3 - In Problem 3.79 the strip heater acts to guard...Ch. 3 - The exposed surface (x=0) of a plane wall of...Ch. 3 - A quartz window of thickness L serves as a viewing...Ch. 3 - For the conditions described in Problem 1.44....Ch. 3 - A cylindrical shell of inner and outer radii, ri...Ch. 3 - The cross section of a long cylindrical fuel...Ch. 3 - A long cylindrical rod of diameter 200 mm with...Ch. 3 - A radioactive material of thermal conductivity k...Ch. 3 - Radioactive wastes are packed in a thin-walled...Ch. 3 - Radioactive wastes (ktw=20W/mK) are stored in a...Ch. 3 - Unique characteristics of biologically active...Ch. 3 - Consider the plane wall, long cylinder, and sphere...Ch. 3 - One method that is used to grow nanowires...Ch. 3 - Consider the manufacture of photovoltaic silicon,...Ch. 3 - Copper tubing is joined to a solar collector plate...Ch. 3 - A thin flat plate of length L thickness t. and...Ch. 3 - The temperature of a flowing gas is to be measured...Ch. 3 - A thin metallic wire of thermal conductivity k,...Ch. 3 - A motor draws electric power Pelec from a supply...Ch. 3 - Consider the fuel cell stack of Problem 158. The...Ch. 3 - Consider a rod of diameter D, thermal conductivity...Ch. 3 - A carbon nanotube is suspended across a trench of...Ch. 3 - A probe of overall length L=200mm and diameter...Ch. 3 - A metal rod of length 2L diameter D, and thermal...Ch. 3 - A very long rod of 5-mm diameter and uniform...Ch. 3 - From Problem 1.71, consider the wire leads...Ch. 3 - Turbine blades mounted to a rotating disc in a...Ch. 3 - Prob. 3.127PCh. 3 - Prob. 3.128PCh. 3 - Prob. 3.129PCh. 3 - A brass rod 100 mm long and 5 mm in diameter...Ch. 3 - The extent to which the tip condition affects the...Ch. 3 - A pin fin of uniform. cross-sectional area is...Ch. 3 - The extent to which the tip condition affects the...Ch. 3 - A straight tin fabricated from 2024 aluminum alloy...Ch. 3 - Triangular and parabolic straight tins are...Ch. 3 - Two long copper rods of diameter D=10mm are...Ch. 3 - Circular copper rods of diameter D=1mm and length...Ch. 3 - During the initial stages of the growth of the...Ch. 3 - Consider two long, slender rods of the same...Ch. 3 - A 40-mm-long, 2-mm-diameter pin fin is fabricated...Ch. 3 - An experimental arrangement for measuring the...Ch. 3 - Finned passages are frequently formed between...Ch. 3 - The fin array of Problem 3.142 is commonly found...Ch. 3 - An isothermal silicon chip of width W=20mm on a...Ch. 3 - As seen in Problem 3.109, silicon carbide...Ch. 3 - A homeowner's wood stove is equipped with a top...Ch. 3 - Water is heated by submerging 50-mm-diameter,...Ch. 3 - As a means of enhancing heat transfer from...Ch. 3 - Consider design B of Problem 3.151. Over time....Ch. 3 - Determine the percentage increase in heat transfer...Ch. 3 - Aluminum fins of triangular profile are attached...Ch. 3 - An annular aluminum fin of rectangular profile is...Ch. 3 - Annular aluminum fins of rectangular profile are...Ch. 3 - It is proposed to air-cool the cylinders of a...Ch. 3 - Prob. 3.165PCh. 3 - Prob. 3.166PCh. 3 - Prob. 3.168PCh. 3 - Prob. 3.173PCh. 3 - Prob. 3.174PCh. 3 - Prob. 3.175PCh. 3 - A nanolaminated material is fabricated with an...
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- Part A: Suppose you wanted to drill a 1.5 in diameter hole through a piece of 1020 cold-rolled steel that is 2 in thick, using an HSS twist drill. What values if feed and cutting speed will you specify, along with an appropriate allowance? Part B: How much time will be required to drill the hole in the previous problem using the HSS drill?arrow_forward1.1 m 1.3 m B 60-mm diameter Brass 40-mm diameter Aluminum PROBLEM 2.52 - A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of brass (E₁ = 105 GPa, α = 20.9×10°/°C) and portion BC is made of aluminum (Ę₁ =72 GPa, α = 23.9×10/°C). Knowing that the rod is initially unstressed, determine (a) the normal stresses induced in portions AB and BC by a temperature rise of 42°C, (b) the corresponding deflection of point B.arrow_forward30 mm D = 40 MPa -30 mm B C 80 MPa PROBLEM 2.69 A 30-mm square was scribed on the side of a large steel pressure vessel. After pressurization, the biaxial stress condition at the square is as shown. For E = 200 GPa and v=0.30, determine the change in length of (a) side AB, (b) side BC, (c) diagnonal AC.arrow_forward
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