Question: The velocity potential for a spiral vortex flow is given by (phi=) ((Gamma / 2 pi) theta-(m / 2 pi) ln r), where (Gamma) and

The velocity potential for a spiral vortex flow is given by $\phi=$ $(\Gamma / 2 \pi) \theta-(m / 2 \pi) \ln r$, where $\Gamma$ and $m$ are constants. Show that the angle, $\alpha$, between the velocity vector and the radial direction is constant throughout the flow field (see Fig. P6.44).

Figure P6.44

Step by Step Solution

★★★★★

3.40 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Engineering Fluid Mechanics Questions!

The accounting staff of Lambert Company has assembled the following Information for the year ended December 31 of the current year. Cash sales Credit sales Collections on accounts receivable Cash...

DEFINE THE TERM AUDIT AND EXPLAINING THE POINTS THAT AN AUDITOR HAS TO SATISFY HIMSELF BEFORE EXPRESSION ON OPINION.

Palm oil is produced and consumed in Nigeria. The autarky price of palm oil is N100, Nigeria producers of palm oil produce 500 tons of palm oil and consumers consume 500 tons of palm oil. The free...

PLease help!!! Potential flow inside a wedge [3pt] Recall that a potential flow of a two-dimensional incompressible fluid can be described by the velocity potential 4, such that the fluid velocity is...

A 2D steady, incompressible and inviscid flow field is defined by the velocity vector components: i) ii) i) u=-2xy ii) v=y - x Determine if the flow is irrotational? Problem T7.2 A 2D steady,...

7. Consider the complex velocity potential 2(2) k log(z zo) where k is real and zo is a complex constant. Find the corresponding velocity potential and stream function. Show that the velocity is...

Problem 4 . ( 3 0 pts ) Ideal plane flows can be described by the complex potential F , which is a function of z , where z is represented by z = rexp ( i ) . Consider uniform flow with speed U in the...

Roller Coaster Physics Use a virtual simulation to explore the physics of roller coasters. Access the Energy Skate Park simulation at:...

Please answer all parts... Consider the potential flow field obtained by super - imposing a uniform flow U in the x direction with a source of strength K placed at ( x , y ) = ( - a , 0 ) and a sink...

| Ideal Flow Around a Sphere For the steady potential flow around a sphere with approach velocity u ( see Fig. 2 . 6 - 1 ) , the stream function and velocity potential are = + v R 3 2 r s i n 2 - v r...

Write a paper about Financial Futures & Interest-Rate Options

HPLC peaks should generally not have an asymmetry factor A/B in Figure 22-14 outside the range 0.9 - 1.5. (a) Sketch the shape of a peak with an asymmetry of 1.8. (b) What might you do to correct the...

Some of the services offered by mutual funds include investing through deduction programs and automatic programs.

What opportunities and threats will artists and arts organizations face over the next fi ve to ten years? AppendixLO1

Given the matrix a. Find the maximum and minimum values in each column. b. Find the maximum and minimum values in each row. 3 7 7 -4 12 -5 A = 9 10 2 6 13 8 11 15 4 1

Given the matrix a. Sort each column and store the result in an array B. b. Sort each row and store the result in an array C. c. Add each column and store the result in an array D. d. Add each row...

Consider the following arrays. Write MATLAB expressions to do the following. a. Select just the second row of B. b. Evaluate the sum of the second row of B. c. Multiply the second column of B and the...

Slappey Communications is a technology firm in Birmingham, Alabama, specializing in telecommunications, computer, and network security. Its owner, Bill Slappey, invested nearly $770,000 in property,...

Oriole Company provides financial consulting and has collected the following data for the next year's budgeted activity for a lead consultant Consultants wages $95000 Fringe benefits $12500 Related...

Silver Company makes a product that is very popular as a Mother's Day gift. Thus, peak sales occur in May of each year, as shown in the company's sales budget for the second quarter given below:...