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The newtonian fluid has the followimg velocity v= x^2?
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The newtonian fluid has the followimg velocity v= x^2?
Newtonian Fluid and Velocity Equation
Newtonian fluids are fluids that follow Newton's law of viscosity, which states that the shear stress between adjacent fluid layers is proportional to the velocity gradient of the fluid. In other words, the rate of deformation is directly proportional to the applied shear stress.

Velocity Equation
In the case of a Newtonian fluid, the velocity of the fluid can be described by the equation v = x^2, where v is the velocity and x represents the position in the fluid. This equation indicates that the velocity of the fluid increases quadratically with distance from a reference point.

Explanation
- The equation v = x^2 suggests that the velocity of the fluid increases rapidly as we move away from the reference point.
- This relationship implies that the fluid experiences a higher velocity gradient as it flows through the system.
- The quadratic nature of the equation indicates that the fluid accelerates at an increasing rate, leading to significant changes in velocity over short distances.
- The behavior described by this equation is characteristic of Newtonian fluids, where the viscosity remains constant regardless of the applied shear stress.
In summary, the velocity equation v = x^2 for a Newtonian fluid highlights the relationship between velocity and position in the fluid, demonstrating the unique flow characteristics of these fluids.
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The newtonian fluid has the followimg velocity v= x^2?
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