Analytical Solutions and Geometry of Steady inviscid rotating fluid flows
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
we consider the inviscous fluids owing in the xy-plane, which is rotating about z-axis with uniform angular velocity. By using magnetic flux function approach the basic equations are written into convenient form. By assuming that the magnetic lines to be parallel straight lines, the geometry of streamlines and solutions to the flow variables are found. Finally the variation of pressure and coriolis force for various angular velocities of rotation have been analyzed graphically.
Abstract
we consider the inviscous fluids owing in the xy-plane, which is rotating about z-axis with uniform angular velocity. By using magnetic flux function approach the basic equations are written into convenient form. By assuming that the magnetic lines to be parallel straight lines, the geometry of streamlines and solutions to the flow variables are found. Finally the variation of pressure and coriolis force for various angular velocities of rotation have been analyzed graphically.
참고문헌 (12)
- M.H. Martin, "The flow of viscous fluid", I Arch. Rational Mech. Anal, 41, pp.266~286 (1971)
- Paul Billant, "Instabilities of a Vortex Pair in a Stratified and Rotating Fluid", XXI International Congress of Theo. and App. Mech. (2004)
- Xiuzhang Zhang, "Turbulance- induced rectified flows in rotating fluids", Journal of fluid mechanics, 350, pp.97~118 (1997)
- O.P. Chandana, "Variably inclined MHD parallel flows", ZAMM. Z. Angew. Math. Mech, 71(2), pp.99~108 (1971)
- O.P. Chandana, "Exact solution of compressible Plane Potential flows", Arch. Rat. Mech. Anal, 137, pp.177~201 (1997)
- Siddabasappa, "Exact solutions of variably inclined rotating MHD flows using transformation techniques", Jou. App. Math. Anal, 2(1), pp.13~30 (2006)
- Siddabasappa, "Exact solutions of variably inclined rotating MHD flows using von-Mises coordinates", Proc. Jangjeon. Math. Soci., pp.39~51 (2007)
- Siddabasappa, "Rotating Fluid Flows- Configuration of streamlines", accepted for publication in Proc. 19th Int. Conf. Jangjeon. Math. Soci.
- S.I. Pai, "Magneto hydrodynamics and plasma dynamics" (1962), Springer Verlag
- H.P. Greenspan, "The theory of rotating fluids" (1968), Cambridge uni. Press
- Joseph Pedlosky, "Geophysical fluid dynamics", Springer Verlag
