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-1175
The upper boundary of the water flowing over a weir structure is termed the:
Q2 · Level 1 · WR-FLM-1024
Which of the following quantities is dimensionless?
Q3 · Level 1 · WR-FLM-1037
Pressure levels below atmospheric pressure are collectively referred to as:
Q4 · Level 2 · WR-FLM-1350
Within hydraulic engineering applications, a hot-wire anemometer is utilized for the determination of:
Q5 · Level 2 · WR-FLM-1395
Pressure within a fluid will not be uniform in all directions when the fluid is:
Q6 · Level 2 · WR-FLM-1031
The principle that states a pressure applied to the surface of a confined liquid is transmitted undiminished and equally in all directions throughout the liquid is attributed to:
Q7 · Level 3 · WR-FLM-1246
If a liquid weighing 2400 kg occupies a volume of 3 cubic meters, its value of 0.8 represents its:
Q8 · Level 3 · WR-FLM-1142
When the weight of an object submerged in a fluid surpasses the buoyant force acting on it, the object will:
Q9 · Level 3 · WR-FLM-1177
What phenomenon in an open channel flow is characterized by a sudden transition from rapid, shallow flow to slow, deep flow, resulting in a noticeable rise in the water level?
Q10 · Level 3 · WR-FLM-1032
The rate of discharge flowing over a V-notch is proportional to which power of the head (H)?
Q11 · Level 3 · WR-FLM-1064
When a body is submerged in a liquid, the total force exerted by the liquid on the body acts through which point?
Q12 · Level 4 · WR-FLM-1356
What is the typical behavior of the dynamic viscosity of most liquids as their temperature increases?
Q13 · Level 4 · WR-FLM-1219
Calculate the power generated in horsepower (HP) if a nozzle with a total head of 37.5 meters discharges 1 cubic meter per second of water.
Q14 · Level 4 · WR-FLM-1240
If the hydraulic grade line at a confluence point is higher than reservoirs B and C but lower than reservoir A, what will be the direction of flow?
Q15 · Level 4 · WR-FLM-1216
From the following, select the quantities that are dimensionless.
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.