QUESTION A uniform bar of length 10 centimetres is held at 0C at x = Ocm...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
QUESTION A uniform bar of length 10 centimetres is held at 0°C at x = Ocm and 100°C at X = 10cm. The bar is first heated with an initial temperature distribution given by, f(x) = 100-x; 0<x<10 at the point r the temperature u on the bar satisfies the heat at any timer conduction equation, 0 <x 10, t > 0 (a) State the boundary condition and initial conditions for this physical problem. (b) Using finite difference approximation, approximate the heat distribution along the bar after 10 minutes. (c) Construct the analytical solution of the heat equation. (d) Discuss about the accuracy of the approximation solution in (b). QUESTION A uniform bar of length 10 centimetres is held at 0°C at x = Ocm and 100°C at X = 10cm. The bar is first heated with an initial temperature distribution given by, f(x) = 100-x; 0<x<10 at the point r the temperature u on the bar satisfies the heat at any timer conduction equation, 0 <x 10, t > 0 (a) State the boundary condition and initial conditions for this physical problem. (b) Using finite difference approximation, approximate the heat distribution along the bar after 10 minutes. (c) Construct the analytical solution of the heat equation. (d) Discuss about the accuracy of the approximation solution in (b).
Expert Answer:
Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
Posted Date:
Students also viewed these physics questions
-
A cold beer with an initial temperature of 35F warms up to 40F in 10 minutes while sitting in a room with temperature 70F. What will the temperature of the beer be after t minutes? After 20 minutes?
-
A uniform bar of length L carries a current I in the direction from point a to point b (Fig. P27.70). The bar is in a uniform magnetic field that is directed into the page. Consider the torque about...
-
A uniform bar of unit length t = 4 has constant stiffness c = 2. Find the Green's function for the case when (a) Both ends are fixed (b) One end is fixed and the other is free (c) Why is there no...
-
Desmond died on 18 July 2017, having made no transfers in the previous seven years. He left his entire estate to his wife Emily, including the family home valued at 420,000. Emily died on 9 May 2020,...
-
Reword the following logical explanations for a negative message so that each has positive rather than negative words and tone. Consider what can be done rather than what cannot. Add necessary...
-
From 1912 to 1971, the Milwaukee Road Railroad Company had a train stop every 15 days in Dubuque, Iowa. During this same period, the same train also stopped in Des Moines, Iowa, every 9 days. If on...
-
Oliver Corporation decided on January 1, 2017, that its Canadian subsidiary's functional currency is the Canadian dollar rather than the U.S. dollar. On that date, the net assets of its Canadian...
-
Norris Corporation issued $2,000,000 in 10.5 percent, 10-year bonds on February 1, 2014, at 104. Semiannual interest payment dates are January 31 and July 31. Use the straight-line method and ignore...
-
Stuggling with this 10-column worksheet, any help woulf be appreciated.. Bill Goat owns Bill's Animal Hospital. The company completes the worksheet and adjusting entries on a yearly basis. The...
-
The Hickory Cabinet and Furniture Company produces sofas, tables, and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniturewood, upholstery, and...
-
To further validate my findings and gain a comprehensive understanding of Hillside's financial performance, it would be beneficial to examine other liquidity ratios such as the Current Ratio and Cash...
-
Air conditioning for a college dormitory will cost $3.5 million to install and $125,000 per year to operate at current prices. The system should last 20 years. The real cost of capital is 7%, and the...
-
1. Why should you train volunteers? 2. What is the event industry's most important resource? 3. Describe the following management styles in detail and give an example of each leadership. Autocratic...
-
calculate total number produced and profit ATC Valve Production Production Time per Unit (in Hours) Item Set-Up Cost Casting Machining Final Assembly Unit Cost List Price Number Produced Min Max...
-
Pick a very specific item of clothing (not shoes or sneakers, not handbags, not cosmetics) that you regularly purchase. Then identify six factors that would cause industry supply for that item to...
-
1. A project is being analyzed with below activities identified. Activities A and B start on day 0. Duration Activity (days) a. organize layout team 3 b. organize modification team 6 6 4 7 4 c....
-
1.)Caspian Sea Drinks is considering the purchase of a plum juicer?? the PJX5. There is no planned increase in production. The PJX5will reduce costs by squeezing more juice from each plum and doin 2...
-
In the figure, two loudspeakers, separated by a distance of d1 = 2.63 m, are in phase. Assume the amplitudes of the sound from the speakers are approximately the same at the position of a listener,...
-
Noninvertible 2 ( 2 Matrices Prove that for A is not invertible if ad = be? %3D
-
Suppose that (a) Show that the system has a double eigenvalue if and only if the condition (a - d)2 + 4bc = 0 is satisfied, and that the eigenvalue is 1/2 (a + d) . (b) Show that if the condition in...
-
Upon entering college, Meena borrowed the limit of $5,000 on her credit card to help pay expenses. The credit company charges 19.95% annual interest, compounded continuously. How much will Meena owe...
-
What are some of the advantages and disadvantages of taking a consumer dispute to small claims court?
-
Eduardo and Ana recently bought a new dining room table that they saw advertised on a furniture manufacturers Web site. When the table arrived and they opened the box, they discovered long, deep...
-
Explain why some of the strategies for making wise purchases may be more important than others, depending on the item being purchased.
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App