02/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod I.c with a length of 10 cm and the following values: k = 0.49 cal/(s cm °C), Ax = 2 cm, and At = st 0.1 s. Initially the temperature of the rod is 0°C and the boundary conditions are fixed for all times C=0.2174 cal/g °C) at 7(0, t)= 100°C and 7(10, t) = 50°C. Note that the rod is aluminum with and p= 2.7 g/cm³. List the tridiagonal system of equations and determined the temperature up to 0.1 s.

02/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod I.c with a length of 10 cm and the following values: k = 0.49 cal/(s cm °C), Ax = 2 cm, and At = st 0.1 s. Initially the temperature of the rod is 0°C and the boundary conditions are fixed for all times C=0.2174 cal/g °C) at 7(0, t)= 100°C and 7(10, t) = 50°C. Note that the rod is aluminum with and p= 2.7 g/cm³. List the tridiagonal system of equations and determined the temperature up to 0.1 s.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Metric pine sticks 100 cm long at 32°C. Calculate its real length when the temperature is 770 ° C, taking into account that the coefficient of linear expansion of wood is 1-a = 5 x 10-6 ° C. (Answer L = 1000,125 cm)
| The sublimation of zinc (mass per mole = 0.0654 kg/mol) takes place at a temperature of 6.00 × 10² K, and the latent heat of sub- limation is 1.99 × 10º J/kg. The pressure remains constant during the sublimation. Assume that the zine vapor can be treated as a monatomie ideal gas and that the volume of solid zinc is negligible compared to the corresponding vapor. Concepts: (i) What is sublimation, and what is the latent heat of sublimation? (ii) When a solid phase changes to a gas phase, does the volume of the material increase or decrease, and by how much? (iii) As the material changes from a solid to a gas, does it do work on the environment, or does the environment do work on it? How much work is involved? (iv) In this problem we begin with heat Q and realize that it is used for two purposes: First, it makes the solid change into a gas, which entails a change AU in the internal energy of the material, AU = Ugus - Usolid. Second, it allows the expanding material to do work W on the…
A ‘thermacole’ icebox is a cheap and an efficient method for storing small quantities of cooked food in summer in particular. A cubical icebox of side 30 cm has a thickness of 5.0 cm. If 4.0 kg of ice is put in the box, estimate the amount of ice remaining after 6 h. The outside temperature is 45 °C, and co-efficient of thermal conductivity of thermacole is 0.01 J s-1 m-1 K-1. [Heat of fusion of water = 335 × 103 J kg-1]
mmh When resting, a person has a metabolic rate of about 3.0 × 10° joules per hour. The person is submerged neck-deep into a tub containing 1.2 × 10° kg of water at 21.00 °C. If the heat from the person goes only into the water, find the water temperature after half an hour. 47.
A 32 cm x 20 cm stained glass window is 16.0 mm thick and made of a glass with thermal conductivity 0.78 W/(m.K). How many Joules leak out through this window during a 24 hour period if the average outdoor temperature is 21 oF and the indoor temperature is kept at 68 oF?
An isolated bar is kept at zero temperature at its ends. If it's given initially temperature, f(x) = 100°C, a2y equation u (x, t) is equal to: a2y so the bar temperature ax2 %3D u (0, t) u (L, t) [sin#x•e) , sin x -400 -400 (sinx-e ) + TC .x. (25x² sinx e sin x-e ) The Answer Is the Answer is O Isinx e e sin 400 None of all 3. 25m sin x e
a) If 8.90 kg of ice at -5.00°C is added to 12.0 kg of water at 25°C, compute the final temperature. b) How much ice remains, if any?
The thermal conductivity of ice is 5.2 x10−4kcal/m-s-°C. At what rate is heat lost by the water in a 6m by 10m outdoor swimming pool covered by a layer of ice 8mm thick if the water is at a temperature of 0°C and the surrounding air is at a temperature of -10°C? Given: Required: Solution:
(b) wrong answer
2-43 Two 5.0-cm-diameter aluminum bars, 2 cm long, have ground surfaces and are joined in compression with a 0.025-mm brass shim at a pressure exceeding 20 atm. The combination is subjected to an overall temperature difference of 200°C. Calculate the temperature drop across the contact join.
Super Invar, an alloy of iron and nickel, is a strong material with a very low coefficient of thermal expansion (0.20×× 10^-6 celcius). A 2.5 m -long tabletop made of this alloy is used for sensitive laser measurements where extremely high tolerances are required. A) How much will this alloy table expand along its length if the temperature increases 7.0 C∘? Express your answer to two significant figures and include the appropriate units. B) How much will a 2.5-m-long table made of steel expand along its length if the temperature increases 7.0 C∘? Express your answer to two significant figures and include the appropriate units.
(a) You have a styrofoam container with 815 g of a soft drink (specific heat of 4,100 J/(kg · °C)) at 29.0° and you add a 60 g chunk of ice at 0°C. Assume the liquid and water mix uniformly as the ice melts and determine the final temperature of the mixture (in °C). 375.31 X Since the mixture is thermally isolated, the heat gained by the ice and the associated ice water is equal to the heat lost by the liquid. Write expressions for the heat gained by the ice as it changes from a solid to a liquid, gained by the ice water as it warms to the final temperature, and lost by the liquid as it cools to the final temperature. °C (b) What If? What is the minimum mass of the ice cube (in g) that will result in a final mixture at exactly 0°C? 290.1 g