Unsteady Flow between Two Concentric Rotating Spheres along with Uniform Transpiration
In this study, the numerical solution of unsteady flow
between two concentric rotating spheres with suction and blowing at
their boundaries is presented. The spheres are rotating about a
common axis of rotation while their angular velocities are constant.
The Navier-Stokes equations are solved by employing the finite
difference method and implicit scheme. The resulting flow patterns
are presented for various values of the flow parameters including
rotational Reynolds number Re , and a blowing/suction Reynolds
number Rew . Viscous torques at the inner and the outer spheres are
calculated, too. It is seen that increasing the amount of suction and
blowing decrease the size of eddies generated in the annulus.
[1] C. Pearson, "A numerical study of the time-dependent viscous flow
between two rotating spheres," Journal of Fluid Mechanics, vol.28,
part.2, 1967, pp.323-336
[2] B.R Munson and D.D Joseph, "Viscous compressible flow between
concentric rotating spheres," Journal of Fluid Mechanics vol.49, Part1,
1971, pp.289-303.
[3] A. Jabari Moghadam and A.B. Rahimi, "A numerical study of flow and
heat transfer between two rotating spheres with time dependent angular
velocities," Journal of Heat transfer, vol.130, 2008.
[4] A. Jabari Moghadam and A.B. Rahimi, "Similarity solution in study of
flow and heat transfer between two rotating spheres with constant
angular velocities," SIENTIA IRANICA, vol.16, No.4, 2009, pp.354-362.
[5] S.D. Gulwadi and A.F Elkouh, "Effects of transpiration on free
convection in an annulus between concentric porous spheres," Journal
of Engineering Mathematics, vol.28, 1994, pp: 483-499.
[6] S.D. Gulwadi, A.F. Elkouh and T.C. Jan, "Laminar flow between two
concentric rotating porous spheres," ACTA MECHANICA, vol.97, 1993,
pp: 215-228.
[1] C. Pearson, "A numerical study of the time-dependent viscous flow
between two rotating spheres," Journal of Fluid Mechanics, vol.28,
part.2, 1967, pp.323-336
[2] B.R Munson and D.D Joseph, "Viscous compressible flow between
concentric rotating spheres," Journal of Fluid Mechanics vol.49, Part1,
1971, pp.289-303.
[3] A. Jabari Moghadam and A.B. Rahimi, "A numerical study of flow and
heat transfer between two rotating spheres with time dependent angular
velocities," Journal of Heat transfer, vol.130, 2008.
[4] A. Jabari Moghadam and A.B. Rahimi, "Similarity solution in study of
flow and heat transfer between two rotating spheres with constant
angular velocities," SIENTIA IRANICA, vol.16, No.4, 2009, pp.354-362.
[5] S.D. Gulwadi and A.F Elkouh, "Effects of transpiration on free
convection in an annulus between concentric porous spheres," Journal
of Engineering Mathematics, vol.28, 1994, pp: 483-499.
[6] S.D. Gulwadi, A.F. Elkouh and T.C. Jan, "Laminar flow between two
concentric rotating porous spheres," ACTA MECHANICA, vol.97, 1993,
pp: 215-228.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:52169", author = "O. Mahian and A. B. Rahimi and A. Kianifar and A. Jabari Moghadam", title = "Unsteady Flow between Two Concentric Rotating Spheres along with Uniform Transpiration", abstract = "In this study, the numerical solution of unsteady flow
between two concentric rotating spheres with suction and blowing at
their boundaries is presented. The spheres are rotating about a
common axis of rotation while their angular velocities are constant.
The Navier-Stokes equations are solved by employing the finite
difference method and implicit scheme. The resulting flow patterns
are presented for various values of the flow parameters including
rotational Reynolds number Re , and a blowing/suction Reynolds
number Rew . Viscous torques at the inner and the outer spheres are
calculated, too. It is seen that increasing the amount of suction and
blowing decrease the size of eddies generated in the annulus.", keywords = "Concentric spheres, numerical study, suction andblowing, unsteady flow, viscous torque.", volume = "4", number = "2", pages = "157-5", }