Question:
Choose the CORRECT option for pathlines, streaklines and streamlines for a STEADY flow field.
Choose the CORRECT option for pathlines, streaklines and streamlines for a STEADY flow field.
Show Hint
Understanding the relationship between different flow lines in fluid dynamics is essential for visualizing fluid motion and analyzing fluid behavior.
Updated On: Apr 11, 2025
- All three lines are identical
- Only pathlines and streaklines are identical
- Only pathlines and streamlines are identical
- Only streamlines and streaklines are identical
Show Solution
Verified By Collegedunia
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.
Was this answer helpful?
0
0
Top GATE CH Fluid Mechanics and Mechanical Operations Questions
- A soil sample was consolidated at a cell pressure of 10 K Pa for 24 hours during a cu test. The cell pressure increases to 30. Now it results in a core water pressure increment of 1 K Pa. Soil failed when the agsist test gradually increased to 50 K Pa. Core water pressure at failure was recorded as 21 K Pa. What is the scamton core water pressure B?
- An infinitely long cylindrical water filament of radius \( R \) is surrounded by air. Assume water and air to be static. The pressure outside the filament is \( P_{out} \) and the pressure inside is \( P_{in} \). If \( \gamma \) is the surface tension of the water-air interface, then \( P_{in} - P_{out} \) is:
- The velocity field in an incompressible flow is \( \mathbf{v} = axy\hat{i} + v_y\hat{j} + \beta\hat{k} \), where \( \hat{i} \), \( \hat{j} \), and \( \hat{k} \) are unit vectors in the \( (x, y, z) \) Cartesian coordinate system. Given that \( a \) and \( \beta \) are constants, and \( v_y = 0 \) at \( y = 0 \), the correct expression for \( v_y \) is:
- Consider the steady, uni-directional, fully-developed, pressure-driven laminar flow of an incompressible Newtonian fluid through a circular pipe of inner radius 5.0 cm. The magnitude of shear stress at the inner wall of the pipe is 0.1 N m\(^{-2}\). At a radial distance of 1.0 cm from the pipe axis, the magnitude of the shear stress, in N m\(^{-2}\), rounded off to 3 decimal places, is ____.
- Consider a steady, fully-developed, uni-directional laminar flow of an incompressible Newtonian fluid (viscosity \(\mu\)) between two infinitely long horizontal plates separated by a distance \(2H\) as shown in the figure. The flow is driven by the combined action of a pressure gradient and the motion of the bottom plate at \( y = -H \) in the negative \( x \) direction. Given that \(\Delta P/L = (P_1 - P_2)/L > 0\), where \(P_1\) and \(P_2\) are the pressures at two \(x\) locations separated by a distance \(L\). The bottom plate has a velocity of magnitude \(V\) with respect to the stationary top plate at \(y = H\). Which one of the following represents the \(x\)-component of the fluid velocity vector?
View More Questions
Top GATE CH Fluid Mechanics Questions
- In industrial heat exchanger design, the overall heat transfer coefficient \( U \) is estimated from the equation: \[ \frac{1}{U} = \frac{1}{h_i} + \frac{1}{h_o} \] where \( h_i \) and \( h_o \) are the convective heat transfer coefficients on the inner and outer side of the tube, respectively. This is valid for (i) tube of (ii) thermal conductivity.
Which one of the following is the CORRECT option to fill in the gaps (i) and (ii)? - The sum of the components of the force due to pressure and shear at the solid-fluid boundary of a solid body in the direction normal to the flow is:
- Schmidt number is defined as
- The vortex shedding meter is primarily used for measuring
The first-order irreversible liquid phase reaction \(A \to B\) occurs inside a constant volume \(V\) isothermal CSTR with the initial steady-state conditions shown in the figure. The gain, in kmol/m³·h, of the transfer function relating the reactor effluent \(A\) concentration \(c_A\) to the inlet flow rate \(F\) is:
View More Questions
Top GATE CH Questions
- Consider a Leniar Homogeneous system AX = 0, where A is N × N matrix and X is N × 1 vector. When we solve this 0 is null matrix of N × 1. Let R be the rank matrix for a for a Non-trivial solution.
- Which are true for Petroleum / Petrochemicals?
- F(x) = ex - 5x and the value of X0 = 1 then what will be the value of X1?
- The first non-zero term in the taylor series expansion of (1 - x) - e- x, about x = 0
- \(\frac{P}{Q}\) is not equal 1, \(\left(\frac{P}{Q}\right)^{\frac{P}{Q}} = P^{\frac{P}{Q} - 1}\)
View More Questions