Q4/ The velocity distribution over a plate is given by U = (3/2)y / (2)y if the viscosity of the liquid is 8 poise. Find the shear stress at the plate boundary and at y = 0. [Sm from plate: 10 po]
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The equation provided seems to have a typo or formatting issue. Typically, a velocity distribution over a plate in fluid mechanics can be represented as U = k*y, where U is the velocity at a distance y from the plate, and k is a constant. Given the equation U = Show more…
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Q2. The laminar flow of a Newtonian fluid between parallel plates is illustrated in the below figure. The velocity distribution for this flow is given by the equation: h2 aP V = 8p dx The total gap between the plates is 3 cm. The viscosity of the fluid is 0.5 Ns/m^2 and the pressure gradient is -1200 N/m^3. Find the magnitude and direction of the shear stress on the upper plate.
When the force $\mathbf{P}$ is applied to the plate, the velocity profile for a Newtonian fluid that is confined under the plate is approximated by $u=\left(12 y^{1 / 4}\right) \mathrm{mm} / \mathrm{s},$ where $y$ is in $\mathrm{mm}$. Determine the shear stress within the fluid at $y=8 \mathrm{~mm}$. Take $\mu=0.5\left(10^{-3}\right) \mathrm{N} \cdot \mathrm{s} / \mathrm{m}^{2}$.
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