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A fluid is flowing between two layers. Calculate the shearing force if the shear velocity is 0.25 m/s and has length 2 m and dynamic viscosity is 2Ns/m^2.(a) 0.2 N/m^2(b) 0.4 N/m^2(c) 0.5 N/m^2(d) 0.6 N/m^2The question was posed to me by my college professor while I was bunking the class.I would like to ask this question from Factors Affecting Broth Viscosity topic in section Fluid Flow and Mixing of Bioprocess Engineering

Answer»

Right choice is (C) 0.5 N/m^2

Easiest EXPLANATION: Given: Shear velocity u = 0.25 m/s,

shear stress y = 0.125/s

dynamic VISCOSITY μ = 2 Ns/m^2

The shearing stress is given by,

F = μ A u/y

F = 2 Ns/m^2 × 0.125 /s

F = 0.5 N/m^2

Therefore, the shearing stress is 0.5 N/m^2.



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