4- A long insulated wire was initially at a uniform temperature, then both ends of the...
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 дө %3D дt a20 subject to the conditions: equation: дх2 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. 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 дө %3D дt a20 subject to the conditions: equation: дх2 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.
Expert Answer:
Answer rating: 100% (QA)
MATLAB Code CRANK NICOLSON SCHEME clc clear all x1 ... View the full answer
Related Book For
University Physics with Modern Physics
ISBN: 978-0321696861
13th edition
Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford
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 wall of oak, initially at a uniform temperature of 25C, is suddenly exposed to combustion exhaust at 800C. Determine the time of exposure required for the surface to reach its ignition...
-
One major concern about the future is that water scarcity will grow, particularly in arid regions where precipitation levels may be reduced by climate change. Will our institutions provide for an...
-
How can relevant diversity issues be identified in different contexts?
-
Complex equations: Complex numbers played a key role in node embeddings. Let a = 4+43i C. Solve the equation z6 = a over C.
-
Hardy Instruments, Inc., is a manufacturer of various measuring and controlling instruments. Financial statement data for the firm are as follows: Required a. Using the given data, calculate ratios 1...
-
Using the moving average method of perpetual inventory costing and the information presented in E2-6, compute the cost of materials used and the cost of the July 31 inventory. (Round unit prices to...
-
Opal earned 6 percent in her savings account. If she is in the 25 percent tax bracket, what is her after-tax savings rate of return?
-
Co B is the issuer of a tranche of mandatorily redeemable convertible preference shares (MRCPS) that was issued on the following terms: Required 1. Identify the elements included in the MRCPS. 2....
-
Individual Key Learning Report Individual Key Learning Report A+ Individual Report on Key Learnings Students are required to prepare an individual report at the end of the semester to present the...
-
On August 31st, 2021, you observe the prices of the US Treasury 5 year zero-coupon nominal of $961.50 and real (TIPS) bonds of $1092.338. Assuming par value $1000 and the liquidity premium, inflation...
-
A 6.95-g bullet is moving horizontally with a velocity of +355 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting...
-
A U.S. grocery store entity is looking to take delivery of a product such as apples from the country of Chile that are for sale to U.S. customers with payment and delivery in six months. How can the...
-
What is Compensation surveys and why Compensation surveys are important?
-
Reflected light by the moon is diffuse, meaning that we can best model it as the bright side of the moon first absorbing sunlight, and then \"emitting\" the reflected part again. The albedo of the...
-
AAA Corp had accounts receivable of $750,000 and an allowance for doubtful accounts of the $21,500 just prior to writing off as worthless accounts receivable of $5,000. The net realizable value of...
-
What are some of the features of the Unified Process (UP)?
-
The energy required to remove the 3s electron from a sodium atom in its ground state is about 5 eV. Would you expect the energy required to remove an additional electron to be about the same, or...
-
The motion of an under-damped oscillator is described by Eq. (14.42). Let the phase angle be zero. (a) According to this equation, what is the value of x at t = 0? (b) What are the magnitude and...
-
A positive pion at rest decays into a positive muon and a neutrino. (a) Approximately how much energy is released in the decay? (Assume the neutrino has zero rest mass. Use the muon and pion masses...
-
Which of the following is not an advantage of transferable pollution rights? a. They create incentives for polluters to develop cheaper ways to reduce pollution. b. They allow the greatest value of...
-
What is the relationship between externalities and property rights?
-
An advantage that corrective taxes and tradable emissions permits have over compliance standards is that the former a. works well even if pollution output cannot be accurately measured. b. results in...
Study smarter with the SolutionInn App