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| Theoretical analysis of pulsating laminar flow of viscoelastic fluid in annuli |
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HUANG Shan bo1, LI Zhao min2
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(1.College of Pipeline and Civil Engineering in China University of Petroleum, Qingdao 266555, China;2.School of Petroleum Engineering in China University of Petroleum, Qingdao 266555, China)
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| Abstract: |
| By combining the momentum equation and the constitutive equation, a mathematical model for the pulsating laminar flow of the upper convected Maxwell viscoelastic fluid under periodic pressure gradient in concentric annuli was set up. The velocity profile was obtained by using the intrinsic function method and the factors influencing the velocity profile were discussed. The results show that the velocity in annuli changes periodically with time due to the periodic pressure gradient. Fluid elasticity is responsible for the difference of velocity profile for Newtonian fluid and non Newtonian fluid. |
| Key words: pulsating flow viscoelastic fluid Maxwell fluid annuli periodic pressure gradient |
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