660 Questions5 Difficulty Levels12-14% in GATEFree Practice
Fluid Mechanics is a core subject in GATE CE carrying 6-10 marks. It spans fluid statics, kinematics, Bernoulli's equation, pipe flow, open channel flow, and dimensional analysis. Open channel flow is particularly important — specific energy, critical depth, hydraulic jump, and gradually varied flow classification are tested every year. The Manning's equation and Froude number are essential tools.
Difficulty Levels
L1 · Foundation · 371 Qs
L2 · Understanding · 58 Qs
L3 · Application · 138 Qs
L4 · Analysis · 88 Qs
L5 · GATE Ready · 1 Qs
Key Topics Covered
Bernoulli's equation & applications
Pipe flow (Darcy-Weisbach, Moody diagram)
Open channel flow (Manning's equation)
Specific energy & critical depth
Hydraulic jump
Dimensional analysis (Buckingham Pi)
Boundary layer theory
Key Formulas
P/ρg + V²/2g + z = constant (Bernoulli)
hf = fLV²/(2gD) (Darcy-Weisbach)
V = (1/n)R^(2/3)S^(1/2) (Manning)
Fr = V/√(gD)
E = y + V²/(2g) (specific energy)
y2/y1 = 0.5(√(1+8Fr₁²) − 1) (hydraulic jump)
GATE Exam Tip: Open channel flow questions are almost guaranteed — practice specific energy diagrams, critical depth calculation, and conjugate depth for hydraulic jumps. For pipe flow, know how to read the Moody diagram and apply Darcy-Weisbach for both laminar and turbulent conditions.
Practice Questions — Try 16 Samples
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Q1 · Level 1 · WR-FLM-1117
For measuring low flow rates in an open channel, which weir type offers superior precision?
Q2 · Level 1 · WR-FLM-1157
When a body is fully submerged in a fluid, where is the center of pressure located relative to the center of gravity?
Q3 · Level 1 · WR-FLM-1254
The inherent characteristic of a fluid that opposes deformation or resistance to shearing forces is known as:
Q4 · Level 2 · WR-FLM-1170
The phenomenon of mercury not adhering to a glass surface is a manifestation of:
Q5 · Level 2 · WR-FLM-1017
In the field of hydraulic engineering, what is the typical relationship between the viscosity of gases and temperature?
Q6 · Level 2 · WR-FLM-1353
What is the primary application of a differential manometer in hydraulic engineering?
Q7 · Level 3 · WR-FLM-1345
The speed of a water jet exiting an opening in a tank filled with water is directly related to:
Q8 · Level 3 · WR-FLM-1222
The pressure in the airspace above oil (specific gravity 0.8) in a tank is 0.1 kg/cm². Calculate the pressure at a depth of 2.5 meters below the oil surface, expressed as meters of water column.
Q9 · Level 3 · WR-FLM-1042
What is the primary application of differential manometers in fluid measurements?
Q10 · Level 3 · WR-FLM-1075
Which of the following statements concerning correction factors for kinetic energy and momentum are correct?
Q11 · Level 3 · WR-FLM-1053
Given that the specific gravity of oil is 0.7, what is its density?
Q12 · Level 4 · WR-FLM-1173
A floating object achieves stable equilibrium when:
Q13 · Level 4 · WR-FLM-1030
For a planar surface submerged vertically in a quiescent fluid, where is the center of pressure located relative to the centroid of the submerged area?
Q14 · Level 4 · WR-FLM-1223
If the intermolecular cohesion of a liquid surpasses its adhesion to glass, what will be the free surface level of the liquid in a glass tube dipped into it?
Q15 · Level 4 · WR-FLM-1225
When multiple pipes are connected in parallel, how does the aggregate head loss relate to the head loss in each individual pipe?
Q16 · Level 5 · WR-FLM-0015
A trapezoidal channel with base width 6 m, side slope 1.5H:1V, bed slope 1/2000, and Manning's n = 0.025 carries flow at a normal depth of 2 m. A hydraulic jump occurs where the upstream supercritical depth is 0.4 m. Calculate the Froude number at y₁ = 0.4 m, the conjugate depth, and the energy loss across the jump. Take g = 9.81 m/s².