Test 7 - Flow Nets - TeluguBoard

Question 1 ప్రశ్న 1

In a two-dimensional potential-flow problem, what constitutes a flow net?

A A family of pressure contours alone B A family of streamlines together with a family of equipotential lines C A set of pathlines and streaklines drawn at different times D A network consisting only of lines of constant velocity magnitude

Question 2 ప్రశ్న 2

Which combination of conditions most directly supports the classical construction of an orthogonal flow net from a stream function ψ and velocity potential φ in a two-dimensional region?

A Compressible and rotational flow B Incompressible and irrotational flow C Uniform but necessarily turbulent flow D Unsteady flow with arbitrary density variation

Question 3 ప్రశ్న 3

Why do a streamline and an equipotential line intersect at right angles at an ordinary point of a two-dimensional potential flow where the velocity is nonzero?

A Because the velocity is tangent to both curves B Because the velocity is tangent to the streamline and normal to the equipotential line C Because both curves have zero slope at every point D Because their intersection angle is determined by fluid density

Question 4 ప్రశ్న 4

Which statement concerning intersections within a regular flow net is correct?

A Two distinct streamlines may cross freely, but equipotential lines cannot cross B Two distinct equipotential lines may cross freely, but streamlines cannot cross C Distinct streamlines do not cross at an ordinary point, and distinct equipotential lines corresponding to different potential values also cannot cross D Both families must cross members of their own family at 90 degrees

Question 5 ప్రశ్న 5

What is meant by a curvilinear square in a well-constructed flow net?

A A cell bounded by four straight lines of exactly equal Cartesian length B A cell bounded by two adjacent streamlines and two adjacent equipotential lines that intersect approximately orthogonally and whose corresponding side dimensions are approximately equal C Any four-sided cell, irrespective of its angles or proportions D A square drawn independently of the actual flow pattern

Question 6 ప్రశ్న 6

Which procedure is most appropriate when constructing a flow net manually for a known two-dimensional potential-flow region?

A Draw arbitrary intersecting curves first and then assign velocity values without considering boundaries B Respect the boundary conditions, sketch one family of curves, introduce the orthogonal family, and iteratively refine both until the cells are smooth approximate curvilinear squares C Require every streamline to be straight regardless of the geometry D Make all equipotential lines horizontal even when the flow is curved

Question 7 ప్రశ్న 7

Adjacent equipotential lines in a flow net are drawn for equal increments of velocity potential Δφ. What does a smaller normal spacing between two such adjacent equipotential lines generally indicate?

A A lower local velocity magnitude B A higher local velocity magnitude C Zero velocity D A change from incompressible to compressible flow

Question 8 ప్రశ్న 8

In a small region of a potential-flow net, adjacent equipotential lines differ by Δφ = 0.60 m²/s and their normal separation is approximately 0.15 m. What is the approximate local velocity magnitude?

A 0.09 m/s B 0.40 m/s C 4.0 m/s D 9.0 m/s

Question 9 ప్రశ్న 9

Two regions of the same flow net have equal potential increments of 0.50 m²/s between adjacent equipotential lines. The normal spacings are 0.10 m in Region A and 0.25 m in Region B. Approximately what is the ratio VA/VB?

A 0.40 B 1.00 C 2.50 D 6.25

Question 10 ప్రశ్న 10

In a two-dimensional incompressible flow, two streamlines have stream-function values ψ1 = 0.75 m²/s and ψ2 = 3.25 m²/s. What is the magnitude of discharge per unit depth between the two streamlines?

A 1.50 m²/s B 2.00 m²/s C 2.50 m²/s D 4.00 m²/s

Question 11 ప్రశ్న 11

A flow net contains five equal flow channels, and the stream-function increment across each channel is 1.20 m²/s. What is the total volumetric discharge per unit depth represented by the five channels?

A 1.20 m²/s B 5.00 m²/s C 6.00 m²/s D 7.20 m²/s

Question 12 ప్రశ్న 12

A two-dimensional incompressible flow carries a total discharge per unit depth of 9.0 m²/s through six flow channels that have been selected to carry equal discharge. What stream-function increment separates each adjacent pair of streamlines?

A 0.67 m²/s B 1.50 m²/s C 3.00 m²/s D 54.0 m²/s

Question 13 ప్రశ్న 13

The velocity-potential difference between two boundary equipotentials is 24 m²/s. If the flow net divides this range into eight equal potential intervals, what is the potential increment between successive equipotential lines?

A 2 m²/s B 3 m²/s C 8 m²/s D 192 m²/s

Question 14 ప్రశ్న 14

A flow net is bounded by five streamline curves, including the two outer boundary streamlines, and by seven equipotential curves, including the two terminal equipotential boundaries. How many flow channels and potential intervals does the net contain?

A 5 flow channels and 7 potential intervals B 4 flow channels and 6 potential intervals C 6 flow channels and 4 potential intervals D 4 flow channels and 7 potential intervals

Question 15 ప్రశ్న 15

For a uniform potential flow of speed U in the positive x-direction, which flow-net pattern is expected when equal increments of φ and ψ are used?

A Radial streamlines and concentric equipotential circles B Parallel straight streamlines and perpendicular parallel straight equipotential lines C Concentric streamlines and parallel equipotential lines D Randomly curved lines with no fixed intersection angle

Question 16 ప్రశ్న 16

Away from its singular origin, a two-dimensional point-source potential flow has velocity directed radially outward. What flow-net geometry is expected?

A Streamlines are concentric circles and equipotential lines are radial rays B Streamlines are radial rays and equipotential lines are concentric circles C Both families are concentric circles D Both families are radial rays

Question 17 ప్రశ్న 17

In an inviscid potential-flow model around a stationary impermeable solid boundary satisfying the no-penetration condition, how is the boundary represented in the flow net?

A As a streamline B As an equipotential line in every case C As a line across which maximum normal velocity occurs D As a curve that streamlines must cross at right angles

Question 18 ప్రశ్న 18

At a regular point of a two-dimensional potential-flow net, which statement correctly relates the velocity vector to the two families of curves?

A Velocity is tangent to an equipotential line and normal to a streamline B Velocity is tangent to a streamline and normal to an equipotential line C Velocity is normal to both families D Velocity is tangent to both families

Question 19 ప్రశ్న 19

What is the effect on a flow net of adding an arbitrary constant C1 to the velocity potential φ and another constant C2 to the stream function ψ?

A The velocity field changes but the curves remain fixed B The velocity doubles everywhere C Only the numerical labels of the equipotential and streamline curves shift; the velocity field and curve geometry remain unchanged D The streamline and equipotential families exchange roles

Question 20 ప్రశ్న 20

For a potential flow described by φ = x² - y² and ψ = 2xy, consider the point (x,y) = (2,1). What are the slopes of the streamline and equipotential line through that point?

A Streamline slope = -0.5 and equipotential slope = 2 B Streamline slope = 0.5 and equipotential slope = 2 C Streamline slope = -2 and equipotential slope = -0.5 D Streamline slope = 2 and equipotential slope = 0.5

Question 21 ప్రశ్న 21

For φ = x² - y² and ψ = 2xy, which pair gives the equipotential and streamline passing through the point (2,1)?

A Equipotential: x² - y² = 3; streamline: xy = 2 B Equipotential: x² + y² = 5; streamline: xy = 1 C Equipotential: xy = 2; streamline: x² - y² = 3 D Equipotential: x - y = 1; streamline: x + y = 3

Question 22 ప్రశ్న 22

A flow channel in a steady two-dimensional incompressible flow becomes narrower as measured normal to the local streamlines. If the channel is bounded by the same two streamlines throughout, what qualitative change is expected in the average velocity where the channel becomes narrower?

A The velocity decreases because less space is available B The velocity increases so that the same discharge per unit depth can pass through the narrower channel C The velocity must remain exactly constant regardless of channel width D The velocity becomes zero at the narrowest section

Question 23 ప్రశ్న 23

A narrow channel in a steady two-dimensional incompressible flow carries nearly uniform velocity across its width. At one section its width normal to the flow is 0.30 m and the average velocity is 2.0 m/s. If the same flow channel narrows to 0.15 m, what is the approximate average velocity at the narrower section?

A 1.0 m/s B 2.0 m/s C 4.0 m/s D 8.0 m/s

Question 24 ప్రశ్న 24

Which statement best describes what can be inferred directly from a properly constructed potential-flow net?

A It directly gives viscosity and fluid temperature at every point B It provides flow direction and allows qualitative or quantitative interpretation of velocity and flow distribution, while pressure generally requires additional governing relations and data C It directly gives turbulent shear stress without any further analysis D It determines absolute pressure uniquely from geometry alone

Question 25 ప్రశ్న 25

Consider the following statements about a two-dimensional potential-flow net: I. Streamlines and equipotential lines intersect orthogonally at regular points. II. A well-constructed net is commonly refined into approximate curvilinear squares. III. The difference in stream-function values between two streamlines gives discharge per unit depth between them. IV. For equal potential increments, closer equipotential spacing indicates a larger local velocity magnitude. Which option is correct?

A I and II only B I, II and III only C II, III and IV only D I, II, III and IV

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