The Tangential Force Distribution on Inner Cylinder of Power Law Fluid Flowing in Eccentric Annuli with the Inner Cylinder Reciprocating Axially
Affiliation(s)
Enhanced Oil and Gas Recovery Key Laboratory of Ministry of Education, Northeast Petroleum University, Daqing, China.
Enhanced Oil and Gas Recovery Key Laboratory of Ministry of Education, Northeast Petroleum University, Daqing, China.
ABSTRACT
Based on the governing equations of the inner cyinder of the unsteady flow of the power law fluid in eccentric annuli with the inner cylinder reciprocating axially in bipolar coordinate system, the calculation formulae of tangential force were established, and the relevant numerical calculation method was given. Taking the aqueous solution of partially hydrolyzed polyacrylamides (HPAM) for examples, the tangential forces were calculated by using the formulae and numerical calculation method mentioned above; the curves of the tangential force on the wall of the inner cylinder of HPAM aqueous solution were plotted; and the effects on the tangential force of the flow behavior index of the power law fluid, the stroke and the stroke frequency of the inner cylinder were analyzed.
Based on the governing equations of the inner cyinder of the unsteady flow of the power law fluid in eccentric annuli with the inner cylinder reciprocating axially in bipolar coordinate system, the calculation formulae of tangential force were established, and the relevant numerical calculation method was given. Taking the aqueous solution of partially hydrolyzed polyacrylamides (HPAM) for examples, the tangential forces were calculated by using the formulae and numerical calculation method mentioned above; the curves of the tangential force on the wall of the inner cylinder of HPAM aqueous solution were plotted; and the effects on the tangential force of the flow behavior index of the power law fluid, the stroke and the stroke frequency of the inner cylinder were analyzed.
Cite this paper
Ma, J. , Wei, Y. , Zhang, J. , Liu, H. and Meng, X. (2015) The Tangential Force Distribution on Inner Cylinder of Power Law Fluid Flowing in Eccentric Annuli with the Inner Cylinder Reciprocating Axially. Open Journal of Fluid Dynamics, 5, 183-187. doi: 10.4236/ojfd.2015.52020.
Ma, J. , Wei, Y. , Zhang, J. , Liu, H. and Meng, X. (2015) The Tangential Force Distribution on Inner Cylinder of Power Law Fluid Flowing in Eccentric Annuli with the Inner Cylinder Reciprocating Axially. Open Journal of Fluid Dynamics, 5, 183-187. doi: 10.4236/ojfd.2015.52020.
References
[1] Cui, H.Q., Sun, Z. and Gao, T. (2003) Velocity Distribution of Unsteady Flow of Non-Newtonian Fluid in Eccentric Annuli with the Inner Cylinder Reciprocating Axially. Journal of Hydrodynamics, 18, 711-715. [2] Yang, Y.J., Cui, H.Q. and Gao, T. (2004) Flow Rate Distribution of the Unsteady Flow of Power Law Fluid in Eccentric Annuli with Inner Cylinder Reciprocating Axially. Journal of Daqing Petroleum Institute, 28, 17-19. [3] Meng, X.J., Liu, H.J., Zhang, H.Z., Gao, T. and Cui, H.Q. (2013) The Normal Force Distribution on the Wall of the Inner Cylinder of the Power Law Fluid Flowing in the Eccentric Annuli with the Inner Cylinder Reciprocating Axially. Applied Mechanics and Materials, 487, 527-531.
http://www.scientific.net/AMM.487.527
[1] Cui, H.Q., Sun, Z. and Gao, T. (2003) Velocity Distribution of Unsteady Flow of Non-Newtonian Fluid in Eccentric Annuli with the Inner Cylinder Reciprocating Axially. Journal of Hydrodynamics, 18, 711-715. [2] Yang, Y.J., Cui, H.Q. and Gao, T. (2004) Flow Rate Distribution of the Unsteady Flow of Power Law Fluid in Eccentric Annuli with Inner Cylinder Reciprocating Axially. Journal of Daqing Petroleum Institute, 28, 17-19. [3] Meng, X.J., Liu, H.J., Zhang, H.Z., Gao, T. and Cui, H.Q. (2013) The Normal Force Distribution on the Wall of the Inner Cylinder of the Power Law Fluid Flowing in the Eccentric Annuli with the Inner Cylinder Reciprocating Axially. Applied Mechanics and Materials, 487, 527-531.
http://www.scientific.net/AMM.487.527