Oil (SG = 0.9, Dynamic viscosity = 1 Poise) is flowing with a mean velocity of 1 m/s between two fixed parallel plates which are 1 cm apart. What will be shear stress at the surface of the plate? 

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  1. 40 N/m2
  2. 50 N/m2
  3. 60 N/m2
  4. 70 N/m2

Answer (Detailed Solution Below)

Option 3 : 60 N/m2

Detailed Solution

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Concept:

Pressure difference b/w two points in Laminar flow b/w two fixed parallel plate

Maximum shear stress of Laminar flow b/w two fixed parallel plate

Calculation:

Given:

Specific Gravity = 0.9 ⇒ Density (ρ) = 900 kg/m3

μ = 1 poise ⇒ 0.1 Ns/m2

v = 1 m/s, t = 1 cm ⇒ 0.01 m

The pressure difference is:

Maximum shear stress is:

τmax = 60 N/m2

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