Question: Question: For a fixed Q, how does a non-Newtonian fluid modify the velocity profile compared to Poiseuille flow? - Power-Law - Bingham Plastic - Blood

- Blood (Casson) Poiseuille flow u=4a2(dzdP)(1(ar)2)Q=8a4(dzdP)=8La4Pw=a34Q Power Law =2r(dzdP)=n=drdu u=2n1(1+n1)a1+n1(dzdP)(1(ar)1+n1) Q=? Bingham

Plastic =2r(dzdP)=0+drdu Think about a physic picture first! u=4a2(dzdP)(1(ar)2)0a(1(ar)),r0

Question: For a fixed Q, how does a non-Newtonian fluid modify the velocity profile compared to Poiseuille flow? - Power-Law - Bingham Plastic - Blood (Casson) Poiseuille flow u=4a2(dzdP)(1(ar)2)Q=8a4(dzdP)=8La4Pw=a34Q Power Law =2r(dzdP)=n=drdu u=2n1(1+n1)a1+n1(dzdP)(1(ar)1+n1) Q=? Bingham Plastic =2r(dzdP)=0+drdu Think about a physic picture first! u=4a2(dzdP)(1(ar)2)0a(1(ar)),r0

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