A Newtonian fluid is defined as the fluid which

Question

A soap bubble of radius \(r = 1\,\text{mm}\) is rising in a liquid of density \( \rho = 2000\,\text{kg/m}^3 \). At the instant the bubble is rising upward with constant velocity \(v = \tfrac{1}{2}\,\text{cm/s}\). Find the coefficient of viscosity \( (\eta) \).

Answer 1

Step 1: Newtonian Fluid Definition.
A Newtonian fluid maintains a constant viscosity, irrespective of the shear rate applied. This behavior aligns with Newton's law of viscosity:\[\tau = \mu \left( \frac{du}{dy} \right)\]Where \( \tau \) represents shear stress, \( \mu \) signifies dynamic viscosity, and \( \frac{du}{dy} \) denotes the shear rate.Step 2: Conclusion.
Because the fluid adheres to Newton's law of viscosity, it is classified as a Newtonian fluid. Final Answer: \[ \boxed{\text{obeys Newton's law of viscosity}} \]

A Newtonian fluid is defined as the fluid which

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The Correct Option is B

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