# Match the following types of fluid to their description given: Column I Column II A. Ideal 1. Shear stress is directly proportional velocity gradient

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Match the following types of fluid to their description given:

 Column I Column II A. Ideal 1. Shear stress is directly proportional velocity gradient B. Real 2. Shear stress is not proportional velocity gradient C. Newtonian 3. Possesses viscosity D. Non-Newtonian 4. Does not possess viscosity

1. A - 3, B - 4, C - 2, D - 1
2. A - 3, B - 4, C - 1, D - 2
3. A - 4, B - 3, C - 2, D - 1
4. A - 4, B - 3, C - 1, D - 2

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Correct Answer - Option 4 : A - 4, B - 3, C - 1, D - 2

Explanation:

Ideal fluid:

• Ideal fluid is Incompressible and it has zero value of shear force.
• The ideal fluid does not actually exist in nature, but sometimes used for fluid flow problems.
• An ideal fluid is a fluid that has several properties including the fact that it is :
• Incompressible – the density is constant
• Irrotational – the flow is smooth, no turbulence
• Nonviscous – (Inviscid) fluid has no internal friction

Newtonian fluids:

• Newtonian fluids defined as fluids for which the shear stress is linearly proportional to the shear strain rate
• Newtonian fluids are analogous to elastic solids (Hooke’s law: stress proportional to strain)
• Any common fluids, such as air and other gases, water, kerosene, gasoline, and other oil-based liquids, are Newtonian fluids
• $\tau = \mu \frac{{du}}{{dy}}$ where μ is shear viscosity of the fluid

Non-Newtonian fluids​

• Fluids for which the shear stress is not linearly related to the shear strain rate are called Non-Newtonian fluids examples include slurries and colloidal suspensions, polymer solutions, blood, paste, and cake batter.

Real Fluid

• All the fluids are real as all the fluids possess viscosity.