Question: The stability criterion for the explicit method requires that the coefficient of the term of the one-dimensional, finite-difference equation be zero or positive. Consider the

The stability criterion for the explicit method requires that the coefficient of the term of the one-dimensional, finite-difference equation be zero or positive. Consider the situation for which the temperatures at the two neighboring nodes are 100°C while the center node is at 50°C. Show that for values of Fo > ½ k the finite-difference equation will predict a value of that violates the second law of thermodynamics.

(Tm)

Step by Step Solution

★★★★★

3.44 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

KNOWN Stability criterion for the explicit method requires that ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

8-E-M-E-H-M-T (453).docx

120 KBs Word File

Students Have Also Explored These Related Mechanical Engineering Questions!

Derive the stability criterion for an inside-corner boundary control volume for two-dimensional steady conduction when a convection boundary condition exists. GIVEN Two-dimensional steady conduction...

Derive the stability criterion for the explicit solution of two-dimensional transient conduction. GIVEN Two-dimensional transient conduction

Determine the stability criterion for an explicit solution of three-dimensional transient conduction in a rectangular geometry. GIVEN Three-dimensional transient conduction in a rectangular geometry

Budgeting for Nonprofit Organizations Although budgeting is just as important for nonprofit organizations as for for-profit companies, the approach taken toward budgeting can be very different. In...

10. An experimenter has some degree of control over the: a. independent variable. b. correlative variable. c. history effect. d. All of the above, if the experiment is conducted properly. 11. If a...

Possible Multiple Choice Questions for the Exam. Focus on the topics discussed in class. Chapter 1 Multiple Choice Identify the choice that best completes the statement or answers the question. ____...

Business Research Methodology- Question Bank 1 1. When the marketing department of an organization attempts to determine the amount of time the managers in this department spend at their computers in...

Accounting technologies and sustainability assessment models Jan Bebbingtona, Judy Brownb, Bob Framec, aCentre for Social and Environmental Accounting Research, University of St Andrews, St Andrews...

Please create an excel spreadsheet with formulas for requirement 5 (pages 24-27)and requirement 6 (pages 28-31)only. Please submit in excel format. Both questions and answers are provided for...

Note: Summarize the article in your own wording. The Impact of Macroeconomic Variables on Participation 30 Index in Turkey Seyfettin Erdoan Ayfer Gedikli Emrah smail evik Abstract Instability in the...

According to Porters framework, what determines the level of competitive intensity i choose internet of Things Industry (IOT) intensity

On October 1, 2020 Crane Company issued 4%, 10-year bonds with a face value of $7900000 at 103. Interest is paid on October 1 and April 1, with any premiums or discounts amortized on a straight-line...

Upon graduation from college, Warren Roberge was able to defer payment on his $ 3 6 , 0 0 0 student loan for 9 months. Since the interest will no longer be paid on his behalf, it will be added to the...

Crane Corporation had the following items in inventory as at December 31, 2017: Item No. Quantity Unit Cost NRV A1 160 $6.00 $6.40 B4 210 3.00 2.70 C2 180 12.00 13.30 D3 180 10.00 9.80 Assume that...

Pharoah Electronics issues a $393,500, 5%, 15-year mortgage note on December 31, 2019. The proceeds from the note are to be used in financing a new research laboratory. The terms of the note provide...

1. Choose one of the grand theories and a major contributor to that theory. Describe how his work contributed to the field and the long term impact on motivation. 2. Consider Table 3.1 from your...

1.Karel set up a new company file. Now she sees relevant entries in the Customer Type List and Payment Method List that she doesnt remember creating. Where did they come from? 2.In the cash basis of...

Assume that the width and radius of curvature of a Gaussian beam of wavelength = 1 m, at some point on the beam axis are W1 = 1 mm and R1 = 1 m, respectively. Determine the beam width W2 and radius...

For a mixture of methyl ethyl ketone (1) + water (2) at 45C, what would be the predicted bubble-point pressure using Raoults Law if your mixture was 20% water by mole? Would you expect Raoults Law to...

The cover plate of a flat-plate solar collector is at 15C, while ambient air at 10C is in parallel flow over the plate, with U = 2 m/s. (a) What is the rate of convective heat loss from the plate?...

An array of 10 silicon chips, each of length L = 10 mm on a side, is insulated on one surface and cooled on the opposite surface by atmospheric air in parallel flow with T = 24C and U = 40 m/s....

A square (10 mm x 10 mm) silicon chip is insulated on one side and cooled on the opposite side by atmospheric air in parallel flow at U = 20 m/s and T = 24C. When in use, electrical power...

Delta Airlines' flights from Denver to Atlanta are on time 90 % of the time. Suppose 10 flights are randomly selected, and the number on-time flights is recorded. Round answers to 3 significant...

The next dividend payment by im, Incorporated, will be $2.75 per share. The dividends are anticipated to maintain a growth rate of 7 percent forever. Assume the stock currently sells for $49.10 per...

Suppose that you wanted to buy a new Honda Civic and you want to wait until you can get a good deal. You want to see if the usual/average price of a Honda Civic is below the blue book value of...