Vortex flow (a) Show that the complex potential w = (iT/2) in z describes the flow in
Question:
Vortex flow
(a) Show that the complex potential w = (iT/2π) in z describes the flow in a vortex. Verify that the tangential velocity is given by vθ = T/2ππ and that vr = 0. This type of flow is sometimes called a free vortex.
(b) Compare the functional dependence of vθ on r in (a) with that which arose in Example 3.6-4 the latter kind of flow is sometimes called a forced vortex. Actual vortices, such as those that occur in a stirred tank, have a behavior intermediate between these two idealizations.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (14 reviews)
dw dz Vortex flow a By using Eq 4312 we find that Vx 1 Z xiy 4040 y ir in ...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Chemical Engineering questions
-
Show that the complex potential f (z) = U∞ [z + (a/4) coth(π z /a)] represents flow past an oval shape placed midway between two parallel walls y = ±a/2. What is a practical...
-
The velocity of a falling parachutist is given by v = 8m/c (1 e(e/m)t) Where g = 9.8 m/s2. For a parachutist with a drag coefficient c = 14 kg/s, compute the mass m so that the velocity is = 35 m/s...
-
The wave speed in a liquid is given by v = B/p, where B is the bulk modulus of the liquid and is its density. Show that this equation is dimensionally correct. What about v = Y/pfor a solid? (Y is...
-
Generics, Inc. is a U. S. GAAP reporter that manufactures and sells generic drugs and has a December 31 year-end. On March 1, 2014, it began selling a drug, Anocyn, which is a generic of Dicital....
-
Bill has asked you to prepare financial statements for his first month of operation. The following information relates to the month of May, 2014. (Round all calculations to the nearest whole dollar)...
-
What is the difference between manufacturer brands and store brands? Between family branding and individual branding?
-
If you are invited to interview for a job, when should you request to be interviewed in the interview schedule? Why?
-
For each of the following situations, identify the correct factor to use from Tables 1 or 2 in the appendix on present value table. Also, compute the appropriate present value. 1. Annual net cash...
-
High rains can damage corn crops, and so the ouput from individual fields is uncertain. This risk is almost completely diversifiable. True False
-
Viola Holloway and Renee Forrow are the sole equal shareholders in the corporation of Holloway And Forrow Enterprises, Inc. The Ilolloway And Eomow Enterprises, Inc. owns the following depreciable...
-
Potential flow near a stagnation point (Fig. 4B.6). (a) Show that the complex potential w = -v 0 z 2 describes the flow near a plane stagnation point. (b) Find the velocity components v x (x, y) and...
-
The flow field about a line source considers the symmetric radial flow of an incompressible, inviscid fluid outward from an infinitely long uniform source, coincident with the z-axis of a cylindrical...
-
In Problems 7792, simplify each expression. 016 3/2
-
A firm has the following probability distribution for annual losses due to vandalism: Loss Amount $0 $5,000 Probability 0.65 0.30 $10,000 The firm is considering three options: 0.05 1. Partial...
-
Which should the new offices be located to maximize the potential (the sum of rank scores)? 2. How much does it cost to open the new offices selected in the previous question? 3. Choose all existing...
-
Mercury Incorporated purchased equipment in 2022 at a cost of $354,000. The equipment was expected to produce 440,000 units over the next five years and have a residual value of $46,000. The...
-
calculate the the total laibilities and stockholders equity B C 0 1 2 MARTA COMMUNICATIONS, INC. Statement of Retained Earnings For the Month Ended March 31, 20X1 3 Retained Earnings, March 1, 20X1...
-
(1) Grammar G is ND ND D0|1|2|3|4|5 |6|7 |8|9 What is the language L(G) specified by G? Write the leftmost and rightmost derivations of the sentences 0127, 34 and 568.
-
Aaron Patton owns and operates Pattons Bait Shop and Boat Rental. A year-end trial balance is shown on the next page. Year-end adjustment data for Pattons Bait Shop and Boat Rental are as follows:...
-
Define cultural intelligence. Cite the books or journal articles you found in Capella's library. Explain why cultural intelligence is important for HR practitioners and other organizational managers.
-
A 50.0 L cylinder contains nitrogen gas at a pressure of 21.5 atm. The contents of the cylinder are emptied into an evacuated tank of unknown volume. If the final pressure in the tank is 1.55 atm,...
-
The graph on the next page shows the goods market in equilibrium at output Y1 .Then the aggregate expenditure function shifts to AE2. a. What could have caused this shift in aggregate expenditures?...
-
For each of the following values of the marginal propensity to consume (MPC), find the value of the multiplier. Use the equation from footnote 4 on page 308 to also calculate the value of the tax...
-
Suppose that the marginal propensity to consume is 0.8. a. If the government increases spending by $100 million, what is the change in output? b. If the government increases taxes by $100 million,...
-
Europa Company manufactures only one product. Presented below is direct labor information for November. Standard direct labor hours per unit of product 4 . 2 0 Number of finished units produced 5 , 2...
-
The internal rate of return method is used by Royston Construction Co . in analyzing a capital expenditure proposal that involves an investment of $ 6 2 , 4 0 0 and annual net cash flows of $ 1 5 , 0...
-
Calculate Debt Ratio: Requirements: Given the following figures from a balance sheet: Total Liabilities: $500,000 Total Assets: $1,200,000 Compute the debt ratio. Express the debt ratio as a...
Study smarter with the SolutionInn App