Shape of free surface in tangential annular flow (a) A liquid is in the annular space between
Question:
Shape of free surface in tangential annular flow
(a) A liquid is in the annular space between two vertical cylinders of radii KR and R, and the liquid is open to the atmosphere at the top. Show that when the inner cylinder rotates with an angular velocity Ω, and the outer cylinder is fixed, the free liquid surface has the shape in which zR is the height of the liquid at the outer-cylinder wall, and ζ = r/R.
(b) Repeat (a) but with the inner cylinder fixed and the outer cylinder rotating with an angular velocity Ωo. Show that the shape of the liquid surface is
Draw a sketch comparing these two liquid-surface shapes.
Transcribed Image Text:
Part (a) 1 (K*RN, ZR - z 2g " |(5²+ 4 In § – ³) (3B.15-1) Part (b) 1(K°RN,' 2g \1 - K (2 – 1) + 4K-2 In § - K*( – 1)]
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (12 reviews)
Shape of free surface in tangential annular flow a The velocity distribution is given by Eq 3632 and ...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industry-related work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, R-studio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, e-commerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, self-motivated worker who delivers high-quality, on-time reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a long-term work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Chemical Engineering questions
-
The outer gear C rotates with an angular velocity of 5 rad/s clockwise. Knowing that the inner gear A is stationary, determine (a) The angular velocity of the intermediate gear B, (b) The angular...
-
The arm ABC rotates with an angular velocity of 4 rad/s counterclockwise. Knowing that the angular velocity of the intermediate gear B is 8 rad/s counterclockwise, determine(a) The instantaneous...
-
The intermediate gear B rotates with an angular velocity of 20 rad/s clockwise. Knowing that the outer gear C is stationary, determine (a) The angular velocity of the inner gear A, (b) The angular...
-
TCP: the client sends only 1 message to the server hello from TCP Client and the server responds with the uppercase message. Update the program / make a simple chat program so that The client can...
-
In many countries higher education is heavily subsidized by the government (that is, university students do not bear the full cost of their college education). While there may be good reasons for...
-
Place letters of an accountants career position in front of each description of services that fit. You may use any number of letters on each line and use the letters as many times as they fit. (a) An...
-
One product produced and sold by Outfitters Inc. is a sleeping bag for which annual projections are as follows: a. Compute the projected pre-tax profit to be earned on the sleeping bags during the...
-
Norton Corporation, which has three divisions, is preparing its sales budget. Each division expects a different growth rate because economic conditions vary in different regions of the country. The...
-
Layton Company purchased tool sharpening equipment on October 1 for $33,210. The equipment was expected to have a useful life of 3 years or 3,780 operating hours, and a residual value of $1,080. The...
-
Compare the expensive restaurant, fast-food restaurant, and cafeteria in terms of process characteristics such as capital, product type, labor, planning, and control systems.
-
Torricelli's equation for efflux from a tank (Fig. 3B.14) a large uncovered tank is filled with a liquid to a height h. Near the bottom of the tank, there is a hole that allows the fluid to exit to...
-
Flow in a slit with uniform cross flow (Fig. 3B.16). A fluid flows in the positive x-direction through a long flat duct of length L, width W, and thickness B, where L > > W >> B. The duct has porous...
-
Find the centroid of a thin, flat plate covering the region enclosed by the x-axis, the lines x = 2 and x = -2, and the parabola y = x 2 .
-
Cardinal Company is considering a five-year project requiring a $2,812,000 investment in equipment with a useful life of five years and no salvage value. The company's discount rate is 16%. The...
-
Firm IBM is in a currency swap that was initiated several years ago. According to the swap, IBM receives 8% in sterling and pays 10% in dollar annually , plus the exchange of the principles at...
-
Considering the following excel sensitivity report: .png which one of the following values of the "right hand side" of the third constraint (q3) would modify the current shadow price of this resource...
-
Israel Company provided the following facts regarding pending litigation at year-end: Lawsuit 1: Israel is defending against a lawsuit and believes there is only a 40% chance it will loss in court....
-
Santana Rey has consulted with her local banker and is considering financing an expansion of her business by obtaining a long-term bank loan. Selected account balances at March 31, 2022, for Business...
-
Under what conditions are interim, as opposed to year end, physical inventory counts appropriate?
-
You are a U.S. investor who purchased British securities for 2,000 one year ago when the British pound cost U.S. $1.50. What is your total return (based on U.S. dollars) if the value of the...
-
What is the density of oxygen gas (O 2 ) at 298 K and 0.987 bar?
-
It is often said that inflation greases the wheels of the labor market. Explain what this statement means.
-
Suppose that the inflation rate in an economy has been 4% for several years. The central bank unexpectedly increases the rate of growth of the money supply by 2%. Describe the effect on each of the...
-
The idea of shoe-leather costs is that people wear out their shoes going back and forth to the bank. While this is unlikely in reality, what are some examples of actual costs that you might incur by...
-
Use Excel for this question: Using a 10% discount rate, what is the profitability index (PI) for the following cash flow? Time 0: -$14,000 Time 1: $2,000 Time 2: $2,900 Time 3: $3,000 Time 4: $4,200...
-
Required: An eight - year bond paying coupons annually has a yield of 9 % and a duration of 7 . 2 1 1 years. If the bond's yield changes by 7 5 basis points, what is the percentage change in the...
-
Explain briefly the different steps in investing. What should an investor establish before developing and executing an investment program?
Study smarter with the SolutionInn App