Show that the incompressible continuity equation for axisymmetric flow in spherical polar coordinates is identically satisfied by
Question:
Show that the incompressible continuity equation for axisymmetric flow in spherical polar coordinates
is identically satisfied by a stream function defined as
so long as ψ is a smooth function of r and θ.
Transcribed Image Text:
1 ə rar (r²u,) + 10 sin Ꮎ ᎧᎾ (u, sin 0) = 0,
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
1 sin 0 80 18 10 0 Now notice that the second term is exactly spherical polar coordinates Also ...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Fluid Mechanics Fundamentals And Applications
ISBN: 9780073380322
3rd Edition
Authors: Yunus Cengel, John Cimbala
Question Posted:
Students also viewed these Engineering questions
-
Cash sales and credit sales represent 30 and 70 respectively of total sales Of the credit sales 65 is collected in the first month after the month of sale and
-
Spherical polar coordinates (r, θ, φ) are defined in Fig. P4.12. The cartesian transformations are x = r sinθ cosφ y = r sinθ sinφ z = r cosθ Do not show that the...
-
In spherical polar coordinates, as in Fig. P4.12, the flow is called axisymmetric if 0 and / 0, so that r = r(r, ) and = (r, ). Show that a stream function (r, ) exists for this case and is given by...
-
A manufacturer of cases for sound equipment requires that holes be drilled for metal screws. The drill bits wear out and must be replaced; there is expense not only in the cost of the bits but also...
-
Suppose your expectations regarding the stock price are as follows: Use Equations to compute the mean and standard deviation of the HPR onstocks. r r)-(S) r8) r-ErP
-
Explain how a market participant concerned with a decline in 3-month LIBOR can hedge that risk using the Eurodollar futures contract.
-
Discuss how the Privacy Act of 1974 and the Health Insurance Portability and Accountability Act of 1996 safeguard a patients privacy.
-
In Chapter 7, you developed a use case diagram, an activity diagram, and a system sequence diagram for the use cases Rent movies and Return movies. In Chapter 11 you developed a first-cut DCD and...
-
Amanda Manufacturing Company prepared the following static budget income statement: Revenues $ 140,250.00 Variable Costs (85,250.00) Contribution Margin 55,000.00 Fixed Costs (32,000.00) Net Income $...
-
Real Value Corporation Real Value Corporation (the "Company"), is a public company (and an SEC registrant) that creates augmented reality technology. The Company's primary source of revenue is...
-
Consider a uniform stream of magnitude V inclined at angle (Fig. P1064). Assuming incompressible planar irrotational flow, find the velocity potential function and the stream function. Show all your...
-
In this chapter, we describe axisymmetric irrotational flow in terms of cylindrical coordinates r and z and velocity components u r and u z . An alternative description of axisymmetric flow arises if...
-
Draw the following condition/event system: N = (C, E, F), given Specifiy the precondition of e3 as well as the postcondition of e1. Is N simple or/and pure? Given it is not, which edge(s) need(s) to...
-
State the net present value decision rule to be used in capital investment appraisal.
-
Define an 'avoidable cost'.
-
Give one example of a goal and one example of a matching measurement, for each of the four main aspects of a Balanced Scorecard.
-
Define 'business strategy'.
-
What are the four main aspects of a Balanced Scorecard?
-
In 2018, the town of Bayview authorized the construction of two concrete roadways. The public works department estimates the project cost at $400,000, $20,000 of which is transferred from the general...
-
What key concerns must functional tactics address in marketing? Finance? POM? Personnel?
-
Is it possible to connect resistors together in a way that cannot be reduced to some combination of series and parallel combinations? If so, give examples. If not, state why not.
-
The battery in the circuit shown in Fig. Q26.14 has no internal resistance. After you close the switch S, will the brightness of bulb B 1 increase, decrease, or stay the same? Figure Q26.14 B1 B2
-
In a two-cell flashlight, the batteries are usually connected in series. Why not connect them in parallel? What possible advantage could there be in connecting several identical batteries in parallel?
-
In September, ABC Company receives a special order for 38,000 machines at $162 each from a major coffee shop franchise. Acceptance of the order would result in $13,000 of shipping costs but no...
-
pepsi versus coca cola Quick Ratio Liquid Ratio Coca cola Pepsi Current ratio Accounts receivable Inventory Solvency Solvency Ratio Coca-Cola Pepsi Debt to Total assets Times interest earned Free...
-
use the restated data and answer those questions. https://www.bluescope.com/investors/annual-reports/ What types of products or services do they sell? On what day of the year does its current...
Study smarter with the SolutionInn App