India · IITs and IISc on rotation · pg · secondary source
Computer-based, 3 hours, 100 marks (15 General Aptitude + 85 technical); see the agricultural engineering track's gate-ag row.
Listed because some dairy engineering graduates and M.Tech applicants take GATE AG; its dairy-and-food section is about 9 marks a year in the agricultural engineering track's count of 2019–2026 papers. Not re-read for this track.
Official source: https://gate2026.iitg.ac.in/doc/GATE2026_Syllabus/AG_2026_Syllabus.pdf
Original questions written to this exam's published syllabus and pattern. Not past papers.
1. For laminar flow of milk in a round holding tube, the velocity profile is parabolic. Integrating it over the cross-section shows that the mean velocity equals:
B. Half of the centreline velocity
For Hagen–Poiseuille flow, u = u_max(1 − r²/R²); integrating over the area gives a mean of u_max/2. About 0.82 is the ratio for fully turbulent flow, and the velocity at the wall is zero.
Mathematics & Statistics for Dairy Science · Differential and integral calculus
2. A flat belt wraps 180° around a pulley with μ = 0.3. What is the maximum ratio of tight-side to slack-side tension?
C. 2.57
T₁/T₂ = e^(μθ) = e^(0.3 × π) = 2.57. Using θ in degrees gives an absurd number; 1 + μθ is a linear misreading.
Engineering Fundamentals for Dairy Technologists · Statics, friction and strength of materials basics
3. A product at 10 °C is pressurised to 600 MPa. Taking adiabatic heating as 3 °C per 100 MPa, what temperature does it reach?
A. 28 °C
6 × 3 = 18 °C rise; 10 + 18 = 28 °C. 18 °C is the rise alone.
Emerging & Non-thermal Dairy Processing · High pressure processing
4. A stirred yoghurt follows the power law with K = 2.5 Pa·sⁿ and n = 0.4. What is its apparent viscosity at a shear rate of 50 s⁻¹?
D. 0.239 Pa·s
η_app = Kγ̇ⁿ⁻¹ = 2.5 × 50^(−0.6) = 0.239 Pa·s. 11.95 Pa·s is the shear stress Kγ̇ⁿ (in Pa), not the viscosity; 26.1 uses the exponent 1 − n instead of n − 1; 2.39 slips a factor of ten.
Rheology & Texture of Dairy Foods · Newtonian and non-Newtonian fluids; power-law and Herschel-Bulkley models
5. What is the hydrostatic pressure at the base of a silo holding milk (ρ = 1,030 kg/m³) to a depth of 10 m?
A. 101 kPa
p = ρgh = 1,030 × 9.81 × 10 = 101,043 Pa ≈ 101 kPa. Omitting g gives 10.3 kPa.
Fluid Flow, Thermodynamics & Heat Transfer in Dairy Plants · Fluid properties and Bernoulli's equation
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