Set up a CFD model in any CFD software of your choice or you can develop...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Set up a CFD model in any CFD software of your choice or you can develop a code should you wish for the unsteady two-dimensional elliptic flow in a square cavity of unit length on each side. The wall on the top is moving at 1 m/s towards the right. Assume the density of the fluid is 1 kg/m³. Repeat your simulations at three different Reynolds numbers (100, 400 and 1000) by adjusting the viscosity to match the desired Reynolds number. Numerical Setup Start your problem by discretizing the domain using a 20 x 20 grid and refine your mesh as needed. You should ensure that your solution is mesh-independent. Select your time step according to the stability criteria. You may want to adjust it to a value of convenience. Solution Examine the velocity profile in terms of stream function at steady state, 50 %, 25 % and 12.5 % time to steady state for each of the simulations. Compare your flow field between the different times for each simulation. Make sure you examine and look at the flows in the bottom corners. Also, observe the centreline horizontal velocity (at x = 0.5). Report You report should include the following: 1. How do you set up your model? What are the reasonings behind your choice for the models and/or numerical schemes? 2. Show that your solution is mesh-independent. 3. Should all the required results, make the necessary comparisons and discussions. 4. A short summary or conclusion. Set up a CFD model in any CFD software of your choice or you can develop a code should you wish for the unsteady two-dimensional elliptic flow in a square cavity of unit length on each side. The wall on the top is moving at 1 m/s towards the right. Assume the density of the fluid is 1 kg/m³. Repeat your simulations at three different Reynolds numbers (100, 400 and 1000) by adjusting the viscosity to match the desired Reynolds number. Numerical Setup Start your problem by discretizing the domain using a 20 x 20 grid and refine your mesh as needed. You should ensure that your solution is mesh-independent. Select your time step according to the stability criteria. You may want to adjust it to a value of convenience. Solution Examine the velocity profile in terms of stream function at steady state, 50 %, 25 % and 12.5 % time to steady state for each of the simulations. Compare your flow field between the different times for each simulation. Make sure you examine and look at the flows in the bottom corners. Also, observe the centreline horizontal velocity (at x = 0.5). Report You report should include the following: 1. How do you set up your model? What are the reasonings behind your choice for the models and/or numerical schemes? 2. Show that your solution is mesh-independent. 3. Should all the required results, make the necessary comparisons and discussions. 4. A short summary or conclusion.
Expert Answer:
Answer rating: 100% (QA)
The given task is to set up a Computational Fluid Dynamics CFD model to simulate twodimensional elliptic flow in a square cavity with a moving top wal... View the full answer
Related Book For
Posted Date:
Students also viewed these marketing questions
-
You are considering an investment opportunity. For an initial investment of $ 8 0 0 this year, the project will generate cash flows of either $ 1 4 0 0 or $ 9 0 0 next year, depending on whether the...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...
-
Describe the impact of mobile computing upon your business and project its impact in the future. Do the same for social media. In both cases, when considering impacts, consider how each technology...
-
Consider the following hypothesis test. H0: 21 = 22 Ha: 21 22 a. What is your conclusion if n1 = 21, s21 = 8.2, n2 = 26, and s22 = 4.0? Use = .05 and the p-value approach. b. Repeat the test using...
-
Which types of retail outlets are best suited to intensive distribution? To selective distribution? To exclusive distribution? Explain your answer in each case.
-
What are examples of secured and unsecured liabilities?
-
The following information pertains to Joyce Company. 1. Cash balance per bank, July 31, $7,328. 2. July bank service charge not recorded by the depositor $38. 3. Cash balance per books, July 31,...
-
If you will be given an opportunity in the future, what type of business do you think you will put up and what type of business you think you will not? Justify your answer. Moreover, base your answer...
-
Cheek Products, Inc. (CPI) was founded 53 years ago by Joe Cheek and originally sold snack foods such as potato chips and pretzels. Through acquisitions, the company has grown into a conglomerate...
-
Chris has four classes and needs to complete an assignment for all four today if she selects the assignment at random, what is the probability that she does math, English, history, and biology in...
-
First, review the Week 1 topics located in 1.1, 1.2, 1.3, and 1.4 and answer the following questions. You are a new business intelligence analyst for your organization in response to the marketing...
-
Let's solve the exponential equation 2e* = 30. (a) First, we isolate ex to get the equivalent equation (b) Next, we take In of each side to get the equivalent equation (c) Now we use a calculator to...
-
Total nonfarm payroll employment increased by 187,000 in August, and the unemployment rate rose to 3.8 percent, the U.S. Bureau of Labor Statistics reported today. Employment continued to trend up in...
-
For this week's discussion question, assume you are a business analyst for an ocean/rail shipping container manufacturer that sells products in over 70 countries. Obviously, the forecast for...
-
Brett Collins is reviewing his company's investment in a cement plant. The company paid $15,700,000 five years ago to acquire the plant. Now top management is considering an opportunity to sell it....
-
Home Suppliers, Inc. This project will give you an opportunity to evaluate financial statements and to make decisions based on the information presented in the financial statements of Home Suppliers,...
-
Whats the difference between an ordinary annuity and an annuity due? What type of annuity is shown below? How would you change the time line to show the other type of annuity?
-
Use the data and reaction in Problems P11-4A and P12-7B for the following reaction: A+B C+D (a) Plot and then analyze the conversion, Q r , Q g , and temperature profiles up to a PFR reactor volume...
-
What if you were asked to explore the example problems in this chapter to learn the effects of varying the different parameters? This sensitivity analysis can be carried out by downloading the...
-
Discuss with a classmate what are the most important safety considerations to address for exothermic reactions. To help answer this question, prepare a list of safety considerations for designing and...
-
Today many people purchase collectible items as investments. They buy baseball cards, commemorative coins, stuffed animals, and art.
-
Every day after school, Trent volunteers at his neighborhood community center. He helps the young children with their homework and organizes sports activities. Trent really believes in the work that...
-
What are some sources of financial information?
Study smarter with the SolutionInn App