4-A long insulated wire was initially at a uniform temperature, then both ends of the wire...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
4-A long insulated wire was initially at a uniform temperature, then both ends of the wire were suddenly immersed in a cup of hot fluid and kept there. If the dimensionless temperature 0 in the wire is obtained by the solution of the equation: ae %3D at subject to the conditions: ax2 0=0 for 0<x<1 and t 0 0=e-8t at x = 0 & x = 1 for t>0 Employing the Crank-Nichlson method with r 2 and h 0.1; find at time t= 0.02 the following: a- Write the finite difference computational molecule at (i, j+1). b- Display the matrix of coefficients in a simplest form. c- Hence solve these equations employing a suitable direct method. d- If you had employed an explicit scheme, what is the minimum number of time steps you could use for this problem. 120200pg Screenshot 20200 jpg O Sereenshot_20200...jpg O Screenshot 20200.jpg 米 prt sc 144 %23 %24 % 2 3. & 8 01 V. W 1. T 4-A long insulated wire was initially at a uniform temperature, then both ends of the wire were suddenly immersed in a cup of hot fluid and kept there. If the dimensionless temperature 0 in the wire is obtained by the solution of the equation: ae %3D at subject to the conditions: ax2 0=0 for 0<x<1 and t 0 0=e-8t at x = 0 & x = 1 for t>0 Employing the Crank-Nichlson method with r 2 and h 0.1; find at time t= 0.02 the following: a- Write the finite difference computational molecule at (i, j+1). b- Display the matrix of coefficients in a simplest form. c- Hence solve these equations employing a suitable direct method. d- If you had employed an explicit scheme, what is the minimum number of time steps you could use for this problem. 120200pg Screenshot 20200 jpg O Sereenshot_20200...jpg O Screenshot 20200.jpg 米 prt sc 144 %23 %24 % 2 3. & 8 01 V. W 1. T
Expert Answer:
Answer rating: 100% (QA)
CRANK NICOLSON SCHEME clc clear all x1 f 05 p1f nx11 xlinspace... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
A copper sphere initially at a uniform temperature of 132?C is suddenly released at the bottom of a large bath of bismuth at 500?C. The sphere diameter is 1 cm and it rises through the bath at 1 m/s....
-
In Fig P2.46 both ends of the manometer are open to the atmosphere. Estimate the specific gravity of fluid X. SAE 30 Oil 10 cm 9 cm Water 5 cm 7 cm Fluid X 6 cm 4 cm 2 cm
-
A thick casting initially at a uniform temperature of 150 C has properties of ? = 2790 kg/m3, k = 1.6 W/m-K and Cp = 956 J/kg-K. The surface of the casting is suddenly exposed to turbulent water at...
-
Both high-income and low-income employees are covered by cafeteria plans. Under such plans, all employees may select from a list of non-taxable fringe benefits or they may elect to receive cash in...
-
What are the advantages and disadvantages of variable sampling plans over those for attributes?
-
The number of computers sold per day at Dans Computer Works is defined by the following probability distribution: a. P(3 ¤ x b. P(x > 3) =? c. P(x ¤ 4) =? d. P(2 2 4 P(x 0.05 0.10 0.20...
-
Show that an alternate computing formula for the regression sum of squares in a linear regression model is \[S S_{\mathrm{R}}=\sum_{i=1}^{n} \hat{y}_{i}^{2}-n \bar{y}^{2}\]
-
If an agency makes a loan at a below-market rate, what would be the nature of any expense recognized at the time of the loan? If it guaranteed a loan made by others, what would be the nature of any...
-
10. A nickel (m = 5.00 g) is placed on the edge of a rotating disc with a radius of 0.41 m. At a particular instant, the component of the force acting on the coin causing it to have an acceleration...
-
The payroll records of Brownlee Company provided the following information for the weekly pay period ended March 23, 2018: Required 1. Enter the relevant information in the proper columns of a...
-
1. Identify the key ethics risks that exist in African Skies. What are the ethics opportunities that may be capitalised upon? 2. Describe the state of ethics in this organisation in terms of the...
-
There have been several high-profile scandals in accounting in recent times, which have contributed to the raised profile of ethics and integrity in accounting. The details of many of these scandals...
-
Identify two guidelines for using social media responsibly as an employee.
-
According to the market research organization Bazaarvoice, 71 percent of consumers who read a companys response to an online review change their opinion of the company.168 Explain why a companys...
-
Assume that you work for a company that manufactures luggage. The company would like to design a new line of luggage that meets the needs of business travelers who fly frequently. You have been...
-
Assume that you are interested in getting a masters degree in accounting in your state or a nearby state. Design a search string for Google that will help you identify available programs. How would...
-
Differentiate between limited-life and indefinite life intangible assets. What is the appropriate treatment (i.e., journal entry and calculation of impairment) for recognizing the impairment of an...
-
Horse serum containing specific antibody to snake venom has been a successful approach to treating snakebite in humans. How do you think this anti-venom could be generated? What are some advantages...
-
What error would result from using the first four terms of Equation (4-3) to compute the temperature at = 0 and x = L?
-
Assume that a human forearm may be approximated by a cylinder 4 in. in diameter and 1 ft long. The arm is exposed to a dry-air environmental temperature of 115oF in a 10-mi/h breeze on the desert and...
-
A vertical flat plat maintained at 350 K is exposed to room air at 300 K and 1 atm. Estimate the plate height necessary to produce a free-convection boundary layer thickness of 2.0 cm.
-
Which elements an agile software team must consider to attribute effort to a product?
-
Why is the rounded Fibonacci series used to assign story points instead of the natural numbers?
-
Variants and exception handlers are alternate flows for a use case. In which situations should one or the other be used?
Study smarter with the SolutionInn App