Choose the CORRECT option for pathlines, streaklines and streamlines for a STEADY flow field.
Show Hint
- All three lines are identical
- Only pathlines and streaklines are identical
- Only pathlines and streamlines are identical
- Only streamlines and streaklines are identical
The Correct Option is A
Solution and Explanation
Step 1: Define Each Line Type.
Pathlines: the trajectory that individual fluid particles follow.
Streamlines: lines that are tangent to the velocity vector of the flow at every point.
Streaklines: the locus of particles that have passed sequentially through a particular point.
Step 2: Relationship in Steady Flow.
In a steady flow, where the flow properties at any point do not change over time, pathlines, streaklines, and streamlines coincide.
Top Questions on Fluid Mechanics
- An oil of density \(870 \, {kg/m}^3\) and viscosity \(0.036 \, {Pa.s}\) flows through a straight pipe of 10 cm diameter and 1.5 km length at the flow rate of 250 liters per minute under the steady and incompressible flow conditions.
To control the flow rate of oil, a valve is fixed at the middle of the pipe causing no change in the total length of the pipe. The total head loss measured across the two ends of the pipe is \(11.60 \, {m}\). Using gravitational acceleration as \(10 \, {m/s}^2\), the minor head loss contributed by the presence of the valve in m {(rounded off to 2 decimal places) is ..........}- GATE XE - 2025
- Engineering Sciences
- Fluid Mechanics
A fixed control volume has four one-dimensional boundary sections (1, 2, 3, and 4). For a steady flow inside the control volume, the flow properties at each section are tabulated below:
The rate of change of energy of the system which occupies the control volume at this instant is \( E \times 10^6 \, {J/s} \). The value of \( E \) (rounded off to 2 decimal places) is ........- GATE XE - 2025
- Engineering Sciences
- Fluid Mechanics
A liquid flows under steady and incompressible flow conditions from station 1 to station 4 through pipe sections P, Q, R, and S as shown in the figure. Consider, \( d \), \( V \), and \( h \) represent the diameter, velocity, and head loss, respectively, in each pipe section with subscripts ‘P’, ‘Q’, ‘R’, and ‘S’. \( \Delta h \) represents the head difference between the inlet (station 1) and outlet (station 4). All the pipe sections are placed on the same horizontal plane for which the figure shows the top view.
(Insert diagram here, if possible)- GATE XE - 2025
- Engineering Sciences
- Fluid Mechanics
Figure shows the steady and incompressible flow of a fluid in the direction of the arrow from section A to section D. Three pipe connectors are to be placed between sections at A and D having Total Energy Line (TEL) and Hydraulic Grade Line (HGL) as depicted in the figure. Consider, \( g \), \( P \), \( Q \), \( V \), \( \gamma \), and \( Z \) denote gravitational acceleration, pressure, volume flow rate, velocity, specific weight, and elevation of the centerline of the pipe connectors from the datum, respectively. Which one of the following options, in sequence, indicates the correct nature of connectors between sections A and B, B and C, and C and D in the direction of flow?
- GATE XE - 2025
- Engineering Sciences
- Fluid Mechanics
- A solid body of uniform specific gravity floats in a deep liquid pool. Take \( B \), \( G \), and \( M \) as the centre of buoyancy, centre of gravity, and metacentre of the body, respectively. Which one of the following options is correct for the stable floatation of the body in the pool when the body is given a small tilt angle?
- GATE XE - 2025
- Engineering Sciences
- Fluid Mechanics
Questions Asked in GATE CH exam
- A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting, and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?
- Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?
A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of the following options displays the color codes that are consistent with the color model?
An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of \( \frac{2\pi}{n} \), is identical to the original.
Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?
- GATE CH - 2025
- GATE BT - 2025
- GATE GG - 2025
- Rotational Symmetry
- A circle with center at \( (x, y) = (0.5, 0) \) and radius = 0.5 intersects with another circle with center at \( (x, y) = (1, 1) \) and radius = 1 at two points. One of the points of intersection \( (x, y) \) is:
- GATE CH - 2025
- GATE BT - 2025
- GATE GG - 2025
- Circle Intersection