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The distribution of the x-component of the velocity u of a fluid near a flat surface is measured as a function of the distance y

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The distribution of the x-component of the velocity u of a fluid near a flat surface is measured as a function of the distance y from the surface y, m0 0.0020.0040.0060.008 u, m/s0 0.005 0.008 0.017 0.022 The shear stress in the fluid is described by Newton's equation: where u is the coefficient of dynamic viscosity. The viscosity can be thought of as a measure of the internal friction within the fluid. Fluids that obey Newton's constitutive equation are called Newtonian fluids. Calculate the shear stress at y 0 using Case 1. the two-point forward difference formula for the derivative (6 points) Case 2. the three-point forward difference formula for the derivative (6 points), Case 3. calculate an estimated relative error between the values obtained in Case 1 and Case 2. (3 points) Take u 0.00516 N s/m2

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