Beltrami flow of an Unsteady Dusty fluid in an Open Rectangular Channel
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An analytical study is made on Beltrami flow of an unsteady dusty fluid in an open rectangular channel. The flow is due to the influence of movement of the plates. Flow analysis is carried out in Frenet frame field system and exact solutions of the problem are obtained by solving the partial differential equations using Laplace and Finite Fourier sine transform methods. Further graphs drawn for different values of Reynolds number and on basis of these the conclusions are given. Finally, the expressions for skin-friction at the boundaries are obtained.
Abstract
An analytical study is made on Beltrami flow of an unsteady dusty fluid in an open rectangular channel. The flow is due to the influence of movement of the plates. Flow analysis is carried out in Frenet frame field system and exact solutions of the problem are obtained by solving the partial differential equations using Laplace and Finite Fourier sine transform methods. Further graphs drawn for different values of Reynolds number and on basis of these the conclusions are given. Finally, the expressions for skin-friction at the boundaries are obtained.
참고문헌 (18)
- C.S.Bagewadi, "A study of two dimensional steady dusty fluid flow under varying temperature", Int. Journal of Appl. Mech. & Eng, 9, pp.647~653 (2004)
- C.S.Bagewadi, "A study of two dimensional unsteady dusty fluid flow under varying pressure gradient", Tensor, N.S, 64, pp.232~240 (2003)
- Barret O’ Nell, "Elementary Differential Geometry" (1966), Academic
- Bikash Chandra Ghosh, "MHD flow of a visco elastic fluid through porous medium", Int. J. Num. Meth, 11(7), pp.682~698 (2001)
- Brent E.Sleep, "Modelling transient organic vapor transport in porous media with the dusty gas model", Adv. in Water Resources, 22(3), pp.247~256 (1998)
- A.Eric, "Quantitative Assessment of Steady and Pulsatile Flow Fields in a Parallel Plate Flow Chamber", Annals of Biomedical Engineering, 27, pp.194~199 (1999)
- Fathi M. Allan, "Dusty gas model of flow through naturally occurring porous media", App. Math. Comp, 148, pp.809~821 (2004)
- B.J.Gireesha, "Flow of unsteady dusty fluid under varying periodic pressure gradient", Journal of Analysis and Computation, 2(2), pp.183~189 (2006)
- B.J.Gireesha, "Flow of unsteady dusty fluid between two parallel plates under constant pressure gradient", pp.68~ (2007), Tensor.N.S
- M.H.Hamdan, "Dusty gas flow through porous medium", App. Math. Comp, 75, pp.59~73 (1996)
- Indrasena, "Steady rotating hydrodynamic flows", Tensor, N.S, 32, pp.350~354 (1978)
- R.P.Kanwal, "Variation of flow quantities along streamlines, principal normals and bi normals in three dimensional gas flow", J.Math, 6, pp.621~628 (1957)
- J.T.C.Liu, "Flow induced by an oscillating infinite plat plate in a dusty gas", Phys. Fluids, 9, pp.1716~1720 (1966)
- D.H.Michael, "Plane parallel flow of a dusty gas", Mathematika, 13, pp.97~109 (1966)
- T.M.Nabil, "Effect of couple stresses on pulsatile hydromagnetic poiseuille flow", Fluid Dynamic Research, 15, pp.313~324 (1995)
- G.Purushotham, "On intrinsic properties of steady gas flows", Appl.Sci. Res., A, 15, pp.196~202 (1965)
- P.G.Saffman, "On the stability of laminar flow of a dusty gas", Journal of Fluid Mechanics, 13, pp.120~128 (1962)
- C.Truesdell, "Intrinsic equations of spatial gas flows", Z.Angew.Math.Mech, 40, pp.9~14 (1960)