Consider two-dimensional, steady, laminar, incompressible flow of a fluid of density p and viscosity u between...
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Consider two-dimensional, steady, laminar, incompressible flow of a fluid of density p and viscosity u between two parallel plates as shown in Figure 2. In that section it is shown that, with no pressure gradient in the r-direction, the bottom plate fixed, and the top plate moving horizontally with speed V, the vertical velocity is 0 and the horizontal velocity is given by: V u(y) =y 0<ysh. Now consider the same case, but with two immiscible, incompressible, viscous fluids of the same density but different viscosities between the plates. The lower fluid, of viscosity 41, is in the region 0 < y < h/2 while the upper fluid, of viscosity 42, is in the region h/2 < y < h. Determine the velocity u(y) for this case. Note that the fluid velocity and shear stress are continuous about the interface at y = h/2. Moving plate: u = V Viscous fluid Fixed plate Figure 2: Couette flow between parallel plates. Consider two-dimensional, steady, laminar, incompressible flow of a fluid of density p and viscosity u between two parallel plates as shown in Figure 2. In that section it is shown that, with no pressure gradient in the r-direction, the bottom plate fixed, and the top plate moving horizontally with speed V, the vertical velocity is 0 and the horizontal velocity is given by: V u(y) =y 0<ysh. Now consider the same case, but with two immiscible, incompressible, viscous fluids of the same density but different viscosities between the plates. The lower fluid, of viscosity 41, is in the region 0 < y < h/2 while the upper fluid, of viscosity 42, is in the region h/2 < y < h. Determine the velocity u(y) for this case. Note that the fluid velocity and shear stress are continuous about the interface at y = h/2. Moving plate: u = V Viscous fluid Fixed plate Figure 2: Couette flow between parallel plates.
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Related Book For
Fundamentals of Thermal-Fluid Sciences
ISBN: 978-0078027680
5th edition
Authors: Yunus A. Cengel, Robert H. Turner, John M. Cimbala
Posted Date:
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