Problem #1: Consider steady state flow of an incompressible Newtonian fluid between two concentric cylinders of...
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Problem #1: Consider steady state flow of an incompressible Newtonian fluid between two concentric cylinders of a rheometer as shown in Figure 1. The inner cylinder of radius R1 is rotating at a constant angular velocity 2 while the outer cylinder of radius R2 is stationary. End effects are neglected (i.e. neglect the effect of the fluid volumes above and below the inner cylinder). In mathematical form, state two boundary conditions that apply to the vertical annular section of the two cylinders. Identify all zero and non-zero molecular (in terms of tij) and convective momentum fluxes at a given point within the annular section. Figure 1 Problem #1: Consider steady state flow of an incompressible Newtonian fluid between two concentric cylinders of a rheometer as shown in Figure 1. The inner cylinder of radius R1 is rotating at a constant angular velocity 2 while the outer cylinder of radius R2 is stationary. End effects are neglected (i.e. neglect the effect of the fluid volumes above and below the inner cylinder). In mathematical form, state two boundary conditions that apply to the vertical annular section of the two cylinders. Identify all zero and non-zero molecular (in terms of tij) and convective momentum fluxes at a given point within the annular section. Figure 1
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