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Consider a medical device where blood is circulated in the annular space between two coaxial cylinders (Figure 1). The inner cylinder (radius Ro)is...
Do THis problem uses the conservation of mass or momentum!
Consider a medical device where blood is circulated in the annular space between twocoaxial cylinders (Figure 1). The inner cylinder (radius Ro)is static, whereas the outercylinder (radius Ri) is rotating with constant angular velocity w, Assume that the cylindersare infinitely long, and that blood behaves as an incompressible Newtonian fluid (density Q.viscosity !). Ignore the effect of gravity.1.a. Write a conservation equations appropriate to determine the fluid velocity profile insidethe annular gap, along with a sufficient number of boundary conditions. Justify yourassumptions. (10 points)1.b. Integrate the conservation equation to find an expression for the flow velocity, withoutcalculating the constants of integration (i.e. leave them as Ci and C2). (5 points)FLUIDRo