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
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4, Problem 4.5P
A two-dimensional rectangular plate is subjected to prescribed temperature boundary conditions on three sides and a uniform heat flux into the plate at the top surface. Using the general approach of Section 4.2, derive an expression for the temperature distribution in the plate.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Find the Laplace Transform of the following functions
1) f() cos(ar)
Ans. F(s)=7
2ws
2) f() sin(at)
Ans. F(s)=
s² + a²
3) f(r)-rcosh(at)
Ans. F(s)=
2as
4)(t)=sin(at)
Ans. F(s)=
2
5) f(1) = 2te'
Ans. F(s)=
(S-1)
5+2
6) (1) e cos()
Ans. F(s) =
(+2)+1
7) (1) (Acostẞr)+ Bsin(Br)) Ans. F(s)-
A(s+a)+BB
(s+a)+B
8) f()-(-)()
Ans. F(s)=
9)(1)(1)
Ans. F(s):
10) f(r),()sin()
Ans. F(s):
11)
2
k
12)
0
13)
0
70
ㄷ..
a 2a 3a 4a
2 3 4
14) f(1)=1,
0<1<2
15) (1) Ksin(t) 0
For Problems 5–19 through 5–28, design a crank-rocker mechanism with a time ratio of Q, throw angle of (Δθ4)max, and time per cycle of t. Use either the graphical or analytical method. Specify the link lengths L1, L2, L3, L4, and the crank speed.
Q = 1; (Δθ4)max = 78°; t = 1.2s.
3) find the required fillet welds size if the allowable
shear stress is 9.4 kN/m² for the figure below.
Calls
Ans: h=5.64 mm
T
=
حاجة
، منطقة
نصف القوة
250
190mm
450 mm
F= 30 KN
そのに青
-F₂= 10 KN
F2
Chapter 4 Solutions
Fundamentals of Heat and Mass 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 of...Ch. 4 - A two-dimensional rectangular plate is subjected...Ch. 4 - A two-dimensional rectangular plate is subjected...Ch. 4 - Using the thermal resistance relations developed...Ch. 4 - Free convection heat transfer is sometimes...Ch. 4 - Consider Problem 4.5 for the case where the plate...Ch. 4 - Prob. 4.9PCh. 4 - Based on the dimensionless conduction heat rates...
Ch. 4 - Determine the heat transfer rate between two...Ch. 4 - A two-dimensional object is subjected to...Ch. 4 - An electrical heater 100 mm long and 5 mm in...Ch. 4 - Two parallel pipelines spaced 0.5 m apart are...Ch. 4 - A small water droplet of diameter D=100m and...Ch. 4 - A tube of diameter 50 mm having a surface...Ch. 4 - Pressurized steam at 450K flows through a long,...Ch. 4 - The temperature distribution in laser-irradiated...Ch. 4 - Hot water at 85°C flows through a thin-walled...Ch. 4 - A furnace of cubical shape, with external...Ch. 4 - Laser beams are used to thermally process...Ch. 4 - A double-glazed window consists of two sheets of...Ch. 4 - A pipeline, used for the transport of crude oil,...Ch. 4 - A long power transmission cable is buried at a...Ch. 4 - A small device is used to measure the surface...Ch. 4 - A cubical glass melting furnace has exterior...Ch. 4 - An aluminum heat sink (k=240W/mK), used to cool an...Ch. 4 - Hot water is transported from a cogeneration power...Ch. 4 - A long constantan wire of 1-mm diameter is butt...Ch. 4 - A hole of diameter D=0.25m is drilled through the...Ch. 4 - In Chapter 3 we that, whenever fins are attached...Ch. 4 - An igloo is built in the shape of a hemisphere,...Ch. 4 - Prob. 4.34PCh. 4 - An electronic device, in the form of a disk 20 mm...Ch. 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 - One of the strengths of numerical methods is their...Ch. 4 - Determine expressionsfor...Ch. 4 - Consider heat transfer in a one-dimensional...Ch. 4 - In a two-dimensional cylindrical configuration,...Ch. 4 - Upper and lower surfaces of a bus bar are...Ch. 4 - Derive the nodal finite-difference equations for...Ch. 4 - Consider the nodal point 0 located on the boundary...Ch. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Consider the network for a two-dimensional system...Ch. 4 - An ancient myth describes how a wooden ship was...Ch. 4 - Consider the square channel shown in the sketch...Ch. 4 - A long conducting rod of rectangular cross section...Ch. 4 - A flue passing hot exhaust gases has a square...Ch. 4 - Steady-state temperatures (K) at three nodal...Ch. 4 - Functionally graded materials are intentionally...Ch. 4 - Steady-state temperatures at selected nodal points...Ch. 4 - Consider an aluminum heat sink (k=240W/mK), such...Ch. 4 - Conduction within relatively complex geometries...Ch. 4 - Prob. 4.60PCh. 4 - The steady-state temperatures (°C) associated with...Ch. 4 - A steady-state, finite-difference analysis has...Ch. 4 - Prob. 4.63PCh. 4 - Prob. 4.64PCh. 4 - Consider a two-dimensional. straight triangular...Ch. 4 - A common arrangement for heating a large surface...Ch. 4 - A long, solid cylinder of diameter D=25mm is...Ch. 4 - Consider Problem 4.69. An engineer desires to...Ch. 4 - Prob. 4.71PCh. 4 - Prob. 4.72PCh. 4 - Prob. 4.73PCh. 4 - Refer to the two-dimensional rectangular plate of...Ch. 4 - The shape factor for conduction through the edge...Ch. 4 - Prob. 4.77PCh. 4 - A simplified representation for cooling in very...Ch. 4 - Prob. 4.84PCh. 4 - A long trapezoidal bar is subjected to uniform...Ch. 4 - Consider the system of Problem 4.54. The interior...Ch. 4 - A long furnace. constructed from refractory brick...Ch. 4 - A hot pipe is embedded eccentrically as shown in a...Ch. 4 - A hot liquid flows along a V-groove in a solid...Ch. 4 - Prob. 4S.5PCh. 4 - Hollow prismatic bars fabricated from plain carbon...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- a problem existed at the stocking stations of a mini-load AS/RS (automated storage and retrieval system) of a leading electronics manufacturer (Fig.1). At these stations, operators fill the bin delivered by the crane with material arriving in a tote over a roller conveyor. The conveyor was designed at such a height that it was impossible to reach the hooks comfortably even with the tote extended. Furthermore, cost consideration came into the picture and the conveyor height was not reduced. Instead, a step stool was considered to enable the stocker to reach the moving hooks comfortably. The height of the hooks from the floor is 280.2 cm (AD). The tote length is 54.9 cm. The projection of tote length and arm reach, CB = 66.1 cm. a) What anthropometric design principles would you follow to respectively calculate height, length, and width of the step to make it usable to a large number of people? b) What is the minimum height (EF) of the step with no shoe allowance? c) What is the minimum…arrow_forwardQu. 5 Composite materials are becoming more widely used in aircraft industry due to their high strength, low weight and excellent corrosion resistant properties. As an engineer who is given task to design the I beam section of an aircraft (see Figure 7) please, answer the following questions given the material properties in Table 3. Determine the Moduli of Elasticity of Carbon/Epoxy, Aramid/Epoxy, and Boron /Epoxy composites in the longitudinal direction, given that the composites consist of 25 vol% epoxy and 75 vol% fiber. What are the specific moduli of each of these composites? What are the specific strengths (i.e. specific UTS) of each of these composites? What is the final cost of each of these composites?please show all work step by step problems make sure to see formula material sciencearrow_forwardMueh Battery operated train Coll 160,000kg 0.0005 0.15 5m² 1.2kg/m³ CD Af Pair 19 пре neng 0.98 0.9 0.88 Tesla Prated Tesla Trated "wheel ng Joxle 270 kW 440NM 0,45m 20 8.5kg m2 the middle Consider a drive cycle of a 500km trip with 3 stops in Other than the acceleration and deceleration associated with the three stops, the tran maintains constat cruise speed velocity of 324 km/hr. The tran will fast charge at each stop for 15 min at a rate Peharge = 350 kW ΟΙ 15MIN Stop w charging (350kW) (ผม τ (AN GMIJ t 6M 1) HOW MUCH DISTANCE dace is covered DURING THE ACCELERATION TO 324 km/hr? 2) DETERMINE HOW LONG (IN seconds) the tran will BE TRAVELING AT FULL SPEED 2 ? 3) CALCULATE THE NET ENERGY GAW PER STOP etearrow_forward
- Please stop screenshoting ai solution,it always in accurate solve normalarrow_forwardResearch and select any different values for the Ratio of connecting rod length to crank radius from various engine models, then analyze how these changes affect instantaneous velocity and acceleration, presenting your findings visually using graphs.arrow_forwardPb 9) 4.44 bas gnibus& WX 002 grillimatul fred bail (e) For the simply supported I-beam, a load of 1000 lb in center. Find the maximum transverse shear stress. Compare your answer with the approximation obtained by dividing the shear load by the area of the web only with the web considered to extend for the full 8-in depth. - 3½ in. 12 bas in 0% to tolerabib tormi no grived in. 8 in. 38 in. 12 ½ in.arrow_forward
- Pb 12) 4.61 Draw the Mohr circle for the stresses experienced by the surface of an internally pressurized steel tube that is subject to the tangential and axial stresses in the outer surface of 45 ksi and 30 ksi, respectively, and a torsional stress of 18 ksi. yx 18 45 30arrow_forwardPb 8) 4.39 For the C-clamp shown, what force F can be exerted by the screw if the maximum tensile stress in the clamp is to be limited to 30 ksi? F 2 in. სის 3436 16 13 blos 0101 alos12 nodus 121A (s 3 in. in. 16 in. 16 web leonas OFF elson yollA (d 016 (& d of bolow-bloo ai 15912 020112LA sue) vilisub 22 bal.90 Swman a bris ctxibasqqA) laste is tools?arrow_forwardQuiz/An eccentrically loaded bracket is welded to the support as shown in Figure below. The load is static. The weld size for weld w1 is h1 = 6mm, for w2 h2 = 5mm, and for w3 is h3 =5.5 mm. Determine the safety factor (S.f) for the welds. F=22 kN. Use an AWS Electrode type (E90xx). 140 S Find the centroid I want university professor solutions O REDMI NOTE 8 PRO CAI QUAD CAMERA 101.15 Farrow_forward
- Pb 6) 4.31 do = 25 mm 4.31 What bending moment is required to produce a maximum normal stress of 400 MPa: (a) In a straight round rod of 40-mm diameter? (b) In a straight square rod, 40 mm on a side (with bending about the X axis as shown for a rectangular section in Appendix B-2)?arrow_forwardPb 13) 4.73 Find the maximum value of stress at the hole and semicircular notch. 45000 N 50 mm 100 mm 15 mm 25 mm 45000 Narrow_forwardPb 11) 4.53 Consider the 1-in solid round shaft supported by self-aligning bearings at A and B. Attached to the shaft are two chain sprockets that are loaded as shown. Treat this as a static loading problem and identify the specific shat location subjected to the most severe state of stress and make a Mohr circle representation of this stress state. 1-in.-dia. shaft 500 lb 2 in. 1000 lb 3 in. 3 in.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Heat Transfer – Conduction, Convection and Radiation; Author: NG Science;https://www.youtube.com/watch?v=Me60Ti0E_rY;License: Standard youtube license