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GATE 2023 ES – Question 29

Water Resources and Environmental Hydraulics · Groundwater Resources · 1 mark · Multiple choice

Glycerin and kerosene have kinematic viscosities1.2 and .95 times water. They flow through identical porous media at equal hydraulic gradients, obeying Darcy’s law. Find kerosene/glycerin flow ratio.

  1. 1.052
  2. 1.140
  3. 0.792
  4. 1.263

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Correct answer: (D) 1.263

Explanation

Hydraulic conductivity is $K=kg/\nu$,where k is intrinsic permeability and ν kinematic viscosity. Equal media, gradient and area make flow inversely proportional to ν. Therefore $Q_k/Q_g=\nu_g/\nu_k=1.2/.95=1.263158$,closest to **D**.

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