对三维轴对称流体的一点注解
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摘要
用来描述三维轴对称流体的四阶微分方程可以转化为一个与之等价的积分方程.使用一些特殊的分析技巧,可以建立一个与四阶微分方程等价的积分方程,得到四阶微分方程的一个精确解以及四阶微分方程的解的性质.
The fourth-order differential equation describing the three dimensional axisymmetric flow can be converted to be an equivalent integral equation. Utilizing some special analytic techniques,an equivalent integral equation related to the fourth-order nonlinear differential equation is obtained. An exact solution is given and the properties of the solution is considered.
The fourth-order differential equation describing the three dimensional axisymmetric flow can be converted to be an equivalent integral equation. Utilizing some special analytic techniques,an equivalent integral equation related to the fourth-order nonlinear differential equation is obtained. An exact solution is given and the properties of the solution is considered.
引文
[1]HAYAT T,ABBAS Z,SAJID M. Series solution for the upper-convected Maxwell fluid over a porous stretching plate[J]. Phys Lett,2006,A358(5):396-403.
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[7]SAJID M,HAYAT T. The application of homotopy analysis method to thin film flows of a third order fluid[J]. Chaos Solitons&Fractals,2008,38(2):506-515.
[8]ASHRAF M B,HAYAT T,SHEHZAD S A,et al. Thermophoresis and MHD mixed convection three-dimensional flow of viscoelastic fluid with Soret and Dufour effects[J]. Neural Computing&Applications,2017(4):1-13.
[8]PRIYADARSAN K P,PANDA S,NAYAK A,et al. Transient mixed convection flow of a viscoelastic fluid over a vertical stretching sheet coupled with Heat-Mass transfer and chemical reaction[J]. American J Fluid Dynamics,2015,5(3):76-86.
[10]LIAO S J. On the homotopy analysis method for nonlinear problem[J]. Applied Mathematics&Computation,2004,147(2):499-513.
[11]TURKYILMAZOGLU M. Three dimensional MHD flow and heat transfer over a stretching/shrinking surface in a viscoelastic fluid with various physical effects[J]. International J Heat&Mass Transfer,2014,78(78):150-155.
[2]HAYAT T,SAJID M. Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet[J].International J Heat&Mass Transfer,2007,50(1):75-84.
[3]KHAN S K,ABEL M S,SONTH R M. Visco-elastic MHD flow,heat and mass transfer over a porous stretching sheet with dissipation of energy and stress work[J]. International J Heat&Mass Transfer,2003,40(1/2):47-57.
[4]SADEGHY K,SHARIFI M. Local similarity solution for the flow of a “second-grade”viscoelastic fluid above a moving plate[J].International J Nonlinear Mechanics,2004,39(8):1265-1273.
[5]SESHADRI R,SREESHYLAN N,NATH G. Unsteady three-dimondale stagnation point flow of a viscoelastic fluid[J]. International J Engineering Science,1997,35(5):445-454.
[6]HAYAT T,SAJID M. Three-dimensional flow over a stretching surface in a viscoelastic fluid[J]. Nonlinear Analysis:RWA,2008,9(4):1811-1822.
[7]SAJID M,HAYAT T. The application of homotopy analysis method to thin film flows of a third order fluid[J]. Chaos Solitons&Fractals,2008,38(2):506-515.
[8]ASHRAF M B,HAYAT T,SHEHZAD S A,et al. Thermophoresis and MHD mixed convection three-dimensional flow of viscoelastic fluid with Soret and Dufour effects[J]. Neural Computing&Applications,2017(4):1-13.
[8]PRIYADARSAN K P,PANDA S,NAYAK A,et al. Transient mixed convection flow of a viscoelastic fluid over a vertical stretching sheet coupled with Heat-Mass transfer and chemical reaction[J]. American J Fluid Dynamics,2015,5(3):76-86.
[10]LIAO S J. On the homotopy analysis method for nonlinear problem[J]. Applied Mathematics&Computation,2004,147(2):499-513.
[11]TURKYILMAZOGLU M. Three dimensional MHD flow and heat transfer over a stretching/shrinking surface in a viscoelastic fluid with various physical effects[J]. International J Heat&Mass Transfer,2014,78(78):150-155.