Show that the temperature profile (11.44), where T is the temperature and x the spatial coordinate, is

Question:

Show that the temperature profile (11.44),where T is the temperature and x the spatial coordinate, is a solution of the heat diffusion equation (11.37).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Principles Of Thermodynamics

ISBN: 9781108426091

1st Edition

Authors: Jean-Philippe Ansermet, Sylvain D. Brechet

See More Books

Question Posted: Apr 16, 2023 05:48 AM

See More Questions

A long copper rod of thermal diffusivity is heated at one end with a flame passing underneath it periodically, while the other end is located so far away that it remains at room temperature T 0 ....
Two long blocks, made up of different homogeneous materials, are at temperatures T 1 and T 2 when they are brought into contact with one another. The interface quickly reaches a temperature T 0 given...
The temperature at which water starts to boil is also linearly related to barometric pressure. Water boils at 212F at a pressure of 29.9 in Hg (inches of mercury) and at 191F at a pressure of 28.4 in...
Great ride (GR) is in the business of manufacturing and selling high-end vehicles. GR signs a deal with the CEO of a consulting firm for a luxury SUV. You are the long-time Controller for GreatRide...
A regional bakery is forecasting a major purchase of flour and is considering the use of a cash flow hedge. Explain how a cash flow hedge affects operating income currently and in the future as well...
Par Corporation acquired 70 percent of the outstanding common stock of Set Corporation on January 1, 2011, for $350,000 cash. Immediately after this acquisition the balance sheet information for the...
How much heat must be transferred into a balloon in order to increase its internal energy by $18 \mathrm{~J}$ if it does $12 \mathrm{~J}$ of work on the surrounding air as it expands? (a) \(40...
Dieker Container Company is suffering declining sales of its principal product, nonbiodegradeable plastic cartons. The president, Edward Mohling, instructs his controller, Betty Fetters, to lengthen...
In free space, E, [Eax +a, +(3 + j4)ale (3.4x-4.2y) V/m = Determine E., H,, and frequency.
An example in this chapter referred to a survey of 410 human resource professionals. If those subjects are identified with numbers from 1 through 410, does it make sense to calculate the average...
In this chapter, several examples of a current density in one direction inducing the gradient of an intensive quantity in another direction were shown. These effects are referred to by the name of...
In electrochemistry, the observed current is generally determined by ion diffusion in the electrolyte. It was found that diffusion-limited currents can be avoided by using very small electrodes,...
In the previous problem, construct the statement of financial position for the new corporation assuming that the transaction is treated as a purchase for accounting purposes. The market value of...
Venture Oil Company operates under a PSC agreement in the South China Sea. Venture has 49% of the working interest, and Sinhai Oil Company (which is owned by the Chinese government) has 51% of the...
MegaFon stock on the Moscow Stock Exchange trades with a beta of = 1. 71 while the risk-free rate and risk premium are, respectively, 6 percent and 7 percent. a. Compute MegaFons cost of equity...
Salgacoar is an Indian shipping company that owns and operates 12 bulk dry cargo freighters. Headquartered in Goa (India), it specializes in shipping coal and iron ore primarily to South Korea. Its...
Etmos Energy just completed (December 28, 2020) the successful testing of a tertiary recovery pilot project, and as a result has determined that 900,000 barrels of oil should be classified as proved...
Why were large deviations from covered interest rate parity observed during the subprime crisis?
Measurement errors from instruments are often modeled using the uniform distribution (see Problem 12). To determine the range of a large public address system, acoustical engineers use a method of...
What are the main distinctions between the different schools of legal interpretation?
The following table reports the measurements of excess molar volume for the water ethanol mixture at T = 298 K of Figure 8.4. Data on excess molar properties are often correlated with a polynomial of...
Obtain the relation between the isochoric specific heat of an ideal gas mixture and those of its constituents.
Determine the maximum energy output per gmole of CO 2 for a fuel cell operating on CO and O 2 at 298 K and 1 atm. Assume that the products at the outlet of the fuel cell contain only CO 2 .
Patty Stone started a new store to sell backpacks in January. The following events occurred in the first month of operations. a. Issued 5,000 shares of $1 par value common stock to investors for cash...
Discuss the criteria that are being needed to make the presence for an e-commerce business in today's compe.itive marketplace. Now, do your resea ch on an e- comme.ce based company's...
Helix Corporation uses the weighted - average method in its process costing system. It produces prefabricated flooring in a series of steps carried out in production departments. All of the material...

Show that the temperature profile (11.44), where T is the temperature and x the spatial coordinate, is

Question:

T(x, t) = с ст exp *² 4Xt

Step by Step Answer:

To show that the temperature profile Txt given by equation 1144 is a solution of the heat ...View the full answer

Principles Of Thermodynamics

Students also viewed these Engineering questions