1. (a) (c) 2. (15 pts) Two identical copper rods, each 20 cm long have a...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. (a) (c) 2. (15 pts) Two identical copper rods, each 20 cm long have a thermal diffusivity of 1.17 cm²/sec. They are originally at a constant temperature of 0° C. and 50° C., respectively. At time t = 0, the rods are placed end-to-end so that heat can flow freely between them. The outer ends of the new 40-cm rod are held at a temperature of 0° C. Write down a boundary-value problem for the temperature u(x, t) of the 40-cm rod at any time and location. Find the series solution of the problem in part (a) by the methods we developed in class. Use the first term of the series solution to estimate the time required for the center of the 40- cm rod (at x = 20) to reach 5° C. (15 pts) Same as problem 1, accept the left end of the combined rod (at x = 0) is held at zero temperature and the right end (at x = 40) is insulated. 2860 1. (a) (c) 2. (15 pts) Two identical copper rods, each 20 cm long have a thermal diffusivity of 1.17 cm²/sec. They are originally at a constant temperature of 0° C. and 50° C., respectively. At time t = 0, the rods are placed end-to-end so that heat can flow freely between them. The outer ends of the new 40-cm rod are held at a temperature of 0° C. Write down a boundary-value problem for the temperature u(x, t) of the 40-cm rod at any time and location. Find the series solution of the problem in part (a) by the methods we developed in class. Use the first term of the series solution to estimate the time required for the center of the 40- cm rod (at x = 20) to reach 5° C. (15 pts) Same as problem 1, accept the left end of the combined rod (at x = 0) is held at zero temperature and the right end (at x = 40) is insulated. 2860
Expert Answer:
Answer rating: 100% (QA)
The boundaryvalue problem for the temperature ux t o... View the full answer
Related Book For
Principles of heat transfer
ISBN: 978-0495667704
7th Edition
Authors: Frank Kreith, Raj M. Manglik, Mark S. Bohn
Posted Date:
Students also viewed these accounting questions
-
Find a solution to the Dirichlet boundary value problem for a disk. 2u 1 du 1 du = 0, r dr r2 a02 + Osr <4, -as0
-
Long steel rods of 5 cm diameter are heat-treated by drawing them at a velocity of 5 m/s through an oven maintained at a constant temperature of 1000C. The rods enter the oven at 25C and leave at...
-
A yellow pine rod (SG = 0.65) is 5 cm by 5 cm by 2.2 m long. How much lead (SG = 11.4) is needed at one end so that the rod will float vertically with 30 cm out of the water? 0.3 m Wood 1.9 m Lead
-
For the planning process, it is helpful to have employee census information for Question 3 options: a) at least the last five years and projections for the future. b) all current employees younger...
-
1. Today, children are likely exposed to indecent language in various media far more often than they were in the 1970s, when the Federal Communications Commission first began to sanction indecent...
-
How are opportunities, constraints, and demands related to stress? Give an example of each.
-
Determine whether each distribution is a probability distribution. Explain your reasoning. 1. x 5 6 7 8 P(x) 0.28 0.21 0.43 0.15 2. x 1 2 P(x) 14 3 51 4 -1
-
During 2013, Matti Conners, president of Maggert Company, was paid a semimonthly salary of $5,200. Compute the amount of FICA taxes that should be withheld fromher: OASDI HI a. 9th paycheck S b. 22nd...
-
Assume that after initial recognition, Blossom uses the revaluation model (asset adjustment method) to measure its intangible assets. Prepare the entries required on December 31, 2025, December 31,...
-
Today is May 15, 2000, and the current, semi-annually compounded yield curve is in Table 3.6. Compute the duration for the following securities: (a) 3-year zero coupon bond (b) 3 1/4-year coupon bond...
-
You may use all 8 rules of implication, all 10 rules of replacement, conditional proof, and indirect proof to solve the following problems. Remember that any valid argument can be proven using CP or...
-
You are to write a short report/essay (maximum 3000 words): "Write a report/essay on what you would do as a Business Analyst and Manager of the Analytics Department in developing a set of guidelines...
-
A golf ball is thrown straight up in the air at a velocity of 8.3m/s. 1. Determine the maximum height of the golf ball. 2. How long will it take the ball to reach its maximum height? 3. How long will...
-
Application Exercise: Creating an Assessment System Read, study, and analyze the required resource provided below. You can also read other relevant resources. Navarro, S. (2016). How to carry out a...
-
Question 1. Ali ahmad and chong have decided to form a business for selling books at putrajaya. they confused on which types of business entities are more suitable for their businesses. advise ali,...
-
Order: Digoxin 18 mcg po bid. Child weighs 7 lbs. The safe range is 10-12 mcg/kg/24 hrs. a. What is the safe 24-hr range? b. Is the ordered dose safe for a 24-hr period? c. If the medication is...
-
Company makes two desks: Type Material Usage Red Blue Wood Metal 10 4 20 16 Plastic 15 10 Profit Available Raw Material: Wood > Metal >Plastic 115 90 Maximize profit... Steps: Determine "decision"...
-
How has the globalization of firms affected the diversity of their employees? Why has increased diversity put an additional burden on accounting systems?
-
An electrically heated plate, 10 cm square, is placed in a horizontal position 5 cm below a second plate of the same size as shown schematically below. The heating surface is gray (emissivity = 0.8)...
-
Exhaust gases having properties similar to dry air enter an exhaust stack at 800 K. The stack is made of steel and is 8 m tall and 0.5 m ID. The gas flow rate is 0.5 kg/s and the ambient temperature...
-
Show that the dimensionless equation for ice formation at the outside of a tube of radius ro is where Assume that the water is initially at the freezing temperature Tf, that the cooling medium inside...
-
Using the demand and cost curves of an individual firm in oligopoly, demonstrate the effects of each of the following: a. The Clean Air Act b. The Nutrition and Labeling Act c. A ban on smoking...
-
Kodak has developed an important brand name through its advertising, innovation, and product quality and service. Suppose Kodak sets up a network of exclusive dealerships, and one of the dealers...
-
Explain why a market in which broadcast licenses can be purchased might be more efficient than having the FCC assign licenses on some basis designed by the FCC.
Study smarter with the SolutionInn App