Consider the steady state temperature distribu- tion on a rectangular plate discretized by a 6 x...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the steady state temperature distribu- tion on a rectangular plate discretized by a 6 x 5 grid with Az = 0.1m and Ay = 0.2m as shown in the figure. The boundary conditions are also provided in the figure. a) Solve for the temperature values at the (i, j) = (2, 2) and (3, 2) grid points using the Gauss- Seidel method at the first iteration. Take the initial guess as 20C. Show all of your calculations clearly. b) Employ the line Gauss-Seidel method for the i = 2 grid line. Write down the coeffi- cient matrix and the right-hand side vector with the exact numerical val- ues. T=40C (2,2) (ij)=(1,1) T-20C insulated 0.1 m T=20C Consider the steady state temperature distribu- tion on a rectangular plate discretized by a 6 x 5 grid with Az = 0.1m and Ay = 0.2m as shown in the figure. The boundary conditions are also provided in the figure. a) Solve for the temperature values at the (i, j) = (2, 2) and (3, 2) grid points using the Gauss- Seidel method at the first iteration. Take the initial guess as 20C. Show all of your calculations clearly. b) Employ the line Gauss-Seidel method for the i = 2 grid line. Write down the coeffi- cient matrix and the right-hand side vector with the exact numerical val- ues. T=40C (2,2) (ij)=(1,1) T-20C insulated 0.1 m T=20C
Expert Answer:
Answer rating: 100% (QA)
This problem is about solving the steadystate temperature distribution on a rectangular plate using the GaussSeidel method You have a discretized system and boundary conditions provided in the figure ... View the full answer
Related Book For
Numerical Methods With Chemical Engineering Applications
ISBN: 9781107135116
1st Edition
Authors: Kevin D. Dorfman, Prodromos Daoutidis
Posted Date:
Students also viewed these mechanical engineering questions
-
1.write these operators in the basis of the Lx eigenvectors 2. what is the common basis of these vectors? L, - [0 1 0] 1 0 1 0 0 1 L, 2 [0 - 01 i 0-i 0 L B [1 0 0 00 0 0 0 -1
-
Jalen is creating a list of typically low-cost community sports teams. One of the items on his list is wrong, though. Which place should Jalen leave OFF his list because it is NOT typically a...
-
Source: https://www.nytimes.com/2017/08/02/business/smallbusiness Explain how these organisations identified the opportunity and defined their concept for scented candles Explain the steps they would...
-
Split the number 750 into two numbers x and y so that the sum of 8% of the first number and 24% of the second number is 11.2% of the sum of x and y.
-
Let X and Y be nonempty sets and let h : X Y R have bounded range in R. Let f : X R and g : Y R be defined by F(x) := sup{h(x; y) : y Y}; g(y) := inf{h(x; y) : x X}: Prove that Sup{g(y) : y Y}...
-
A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L = 0.2H/m and C = 80 pF/m. The line is terminated in a short circuit at z = 0, and...
-
Prepare performance reports for responsibility centers?
-
Suppose you are an employee of Toys4u.com and incurred $8,000 of company-related meals and entertainment (M&E) during the year. The company is evaluating whether to reimburse you directly or to pay...
-
10. [-19.09 Points] DETAILS HARMATHAP'IZ 13.2.060. I MY NDTES Suppose that a vending machine serVice company models its income by assuming that money ows continuously into the machines, with the...
-
Becket Corporations accountant has prepared the following balance sheet as of November 10, 2020, the date on which the company is to release a plan for reorganizing operations under Chapter 11 of the...
-
2. Let an be a series with positive terms, In = Unt! Ru= antl + an+2 + an+3 + ... and lim , = L n2n on n=1 n=1
-
Linda, who is single and 53, sold her home for $1,250,000. She paid $390,000 for it in 1995 and has lived in it since she bought it. She paid $23,000 in selling expenses. Linda has a mortgage on the...
-
Let VR4 and let W = {[a1; a2; a3; a4] in R: a2-a = a4-a3} i) Show that W is a subspace of V. ii) Find a spanning set S for W. iii) Check if S is linearly independent.
-
There's no denying that we now live in a politically polarized society. And as our population ages, the transfer of power from the more conservative baby boomers to more liberal younger cohorts like...
-
Refer to the following example for part c) Risk-free rate of return = 3% Market return (or market portfolio's rate of return) = 10% IBM stock's beta = 1.2 Then, based on the CAPM (capital asset...
-
D1 Evaluate, using an accredited data source, the microstructures of non-processed and processed metallic materials to correctly identify the material, including how the processing history,...
-
Cardinal Company is considering a five-year project that would require a $2,890,000 investment in equipment with a useful life of five years and no salvage value. The company's discount rate is 12%....
-
Evenflow Power Co. is considering a new project that is a little riskier than the current operations of the company. Thus, management has decided to add an additional 1.5% to the company's overall...
-
Investigate the behavior of Newtons method for the previous example, Eq. (3.3.2), for initial guesses near x = 1.5. f(x)=x-3x+2=0 (3.3.2)
-
Compute the following sums using base 10 and the indicated mantissa: (a) 12.4235 + 0.2134 with a 3 bitmantissa (b) 1.029439 + 4.3284 with a 2 bitmantissa (c) 4.532938 + 0.004938 with a 5 bit mantissa
-
Consider the dynamics of the damped, forced oscillator Classify the steady states in the position/velocity phase space (x, x). x + x - 2x + 3x = 0
-
Defective work Thomas Mfg. Company manufactures an integrated transistor circuit board for repeat customers but also accepts special orders for the same product. Job No. MS1 incurred the following...
-
Inventory costing methods The purchases and issues of rubber gaskets (Stores Ledger #11216) as shown in the records of Lowe Corporation for the month of November follow: Required: 1. Complete a...
-
Economic order quantity; ordering and carrying costs Similar to Self-Study Problem 1 Dolphin Company predicts that it will use 25, 000 units of material during the year. The expected daily usage is...
Study smarter with the SolutionInn App