One Some Effective Solutions of Stokes Axisymmetric Equation for a Viscous Fluid
The Stokes equation connected with the fluid flow
over the axisymmetric bodies in a cylindrical area is considered. The
equation is studied in a moving coordinate system with the
appropriate boundary conditions. Effective formulas for the velocity
components are obtained. The graphs of the velocity components and
velocity profile are plotted.
<p>[1] G. K Bachelor, An Introduction to Fluid Dynamics, Cambridge Univ.
Press, 1967.
[2] L. D. Landay, E.M. Lifshitz, Fluid Mechanics, Course of Theoretical
Physics, 6, Pergamon Press, 1987.
[3] L. M. Milne-Thompson, Theoretical Hydrodynamics. (5-th ed)
Macmillan, 1968.
[4] G. G. Stokes, "On the steady motion of incompressible fluids".
Transactions of the Cambridge Philosophical Society 7: 439–453,
Mathematical and Physical Papers, Cambridge University Press, 1880.
[5] H. Lamb, Hydrodynamics (6th ed.). Cambridge University Press, 1994.
[6] R. Temam, Navier-Stokes Equations, Theory and numerical Analysis,
AMS Chelsea, 2001.
[7] B. J. Kirby, Micro- and Nanoscale Fluid Mechanics: Transport in
Microfluidic Devices.. Cambridge University Press, 2010.
[8] Ockendon, & J. R. Ockendon, Viscous Flow, Cambridge University
Press,1995.
[9] A. Chwang, and T. Wu, "Hydromechanics of low-Reynolds-number
flow. Part 2. Singularity method for Stokes flows". J. Fluid Mech. 62(6),
part 4, 1974.
[10] S. Kim, J. Karrila, Microhydrodynamics: Principles and Selected
Applications, Dover, 2005.
[11] M. A. Lavrentiev & B. V. Shabat, Problems in Hydrodynamics and
their Mathematical models. .Nauka, Moskow, 1977 (in Russian).</p>
<p>[1] G. K Bachelor, An Introduction to Fluid Dynamics, Cambridge Univ.
Press, 1967.
[2] L. D. Landay, E.M. Lifshitz, Fluid Mechanics, Course of Theoretical
Physics, 6, Pergamon Press, 1987.
[3] L. M. Milne-Thompson, Theoretical Hydrodynamics. (5-th ed)
Macmillan, 1968.
[4] G. G. Stokes, "On the steady motion of incompressible fluids".
Transactions of the Cambridge Philosophical Society 7: 439–453,
Mathematical and Physical Papers, Cambridge University Press, 1880.
[5] H. Lamb, Hydrodynamics (6th ed.). Cambridge University Press, 1994.
[6] R. Temam, Navier-Stokes Equations, Theory and numerical Analysis,
AMS Chelsea, 2001.
[7] B. J. Kirby, Micro- and Nanoscale Fluid Mechanics: Transport in
Microfluidic Devices.. Cambridge University Press, 2010.
[8] Ockendon, & J. R. Ockendon, Viscous Flow, Cambridge University
Press,1995.
[9] A. Chwang, and T. Wu, "Hydromechanics of low-Reynolds-number
flow. Part 2. Singularity method for Stokes flows". J. Fluid Mech. 62(6),
part 4, 1974.
[10] S. Kim, J. Karrila, Microhydrodynamics: Principles and Selected
Applications, Dover, 2005.
[11] M. A. Lavrentiev & B. V. Shabat, Problems in Hydrodynamics and
their Mathematical models. .Nauka, Moskow, 1977 (in Russian).</p>
@article{"International Journal of Engineering, Mathematical and Physical Sciences:60207", author = "N. Khatiashvili and K. Pirumova and D. Janjgava", title = "One Some Effective Solutions of Stokes Axisymmetric Equation for a Viscous Fluid", abstract = "The Stokes equation connected with the fluid flow
over the axisymmetric bodies in a cylindrical area is considered. The
equation is studied in a moving coordinate system with the
appropriate boundary conditions. Effective formulas for the velocity
components are obtained. The graphs of the velocity components and
velocity profile are plotted.
", keywords = "Stokes system, viscous fluid.", volume = "7", number = "7", pages = "1187-4", }