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Volumn 203, Issue 2, 2008, Pages 471-481

On the motion of a second grade fluid due to longitudinal and torsional oscillations of a cylinder: A numerical study

Author keywords

Continuum mechanics; Cylinder; Drag reduction; Oil drilling; Second grade fluids; Torsional and longitudinal oscillations; Unsteady flows

Indexed keywords

DRAG; NUMERICAL ANALYSIS;

EID: 51549097712     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.05.133     Document Type: Article
Times cited : (8)

References (56)
  • 1
    • 0032448133 scopus 로고    scopus 로고
    • Longitudinal and torsional oscillation of a rod in a viscoelastic fluid
    • Akyildiz F.T. Longitudinal and torsional oscillation of a rod in a viscoelastic fluid. Rheol. Acta 37 (1998) 508-511
    • (1998) Rheol. Acta , vol.37 , pp. 508-511
    • Akyildiz, F.T.1
  • 2
    • 0000843369 scopus 로고
    • Unsteady unidirectional flows of second grade fluids in domains with one finite dimension
    • Bandelli R. Unsteady unidirectional flows of second grade fluids in domains with one finite dimension. Int. J. Non-Linear Mech. 30 (1995) 817-839
    • (1995) Int. J. Non-Linear Mech. , vol.30 , pp. 817-839
    • Bandelli, R.1
  • 3
    • 0028424901 scopus 로고
    • Longitudinal and torsional oscillations of a rod in a third-grade fluid
    • Bandelli R., Lapczyk I., and Li H. Longitudinal and torsional oscillations of a rod in a third-grade fluid. Int. J. Non-Linear Mech. 29 (1994) 397-408
    • (1994) Int. J. Non-Linear Mech. , vol.29 , pp. 397-408
    • Bandelli, R.1    Lapczyk, I.2    Li, H.3
  • 4
    • 0000501819 scopus 로고
    • Start-up flows of second grade fluids in domains with heated boundaries
    • Bandelli R., and Rajagopal K.R. Start-up flows of second grade fluids in domains with heated boundaries. Int. J. Non-Linear Mech. 30 (1995) 263-269
    • (1995) Int. J. Non-Linear Mech. , vol.30 , pp. 263-269
    • Bandelli, R.1    Rajagopal, K.R.2
  • 5
    • 3142702767 scopus 로고
    • Some unsteady exact solutions in the Navier-Stokes and the second grade fluid theories
    • Boulanger Ph., Hayes M., and Rajagopal K.R. Some unsteady exact solutions in the Navier-Stokes and the second grade fluid theories. SAACM 1 (1991) 185-204
    • (1991) SAACM , vol.1 , pp. 185-204
    • Boulanger, Ph.1    Hayes, M.2    Rajagopal, K.R.3
  • 7
    • 0032055306 scopus 로고    scopus 로고
    • Flow of a micropolar fluid through a circular cylinder subject to longitudinal and torsional oscillations
    • Calmelet-Eluhu C., and Majumdar S.R. Flow of a micropolar fluid through a circular cylinder subject to longitudinal and torsional oscillations. Math. Comput. Model. 27 (1998) 69-78
    • (1998) Math. Comput. Model. , vol.27 , pp. 69-78
    • Calmelet-Eluhu, C.1    Majumdar, S.R.2
  • 8
    • 0014586267 scopus 로고
    • Drag on an oscillating rod with longitudinal and torsional motion
    • Casarella M.J., and Laura P.A. Drag on an oscillating rod with longitudinal and torsional motion. J. Hydronaut. 3 (1969) 180-183
    • (1969) J. Hydronaut. , vol.3 , pp. 180-183
    • Casarella, M.J.1    Laura, P.A.2
  • 9
    • 79551696385 scopus 로고
    • Longitudinal and angular drill-string vibrations with damping
    • Dareing D.W., and Livesay B.J. Longitudinal and angular drill-string vibrations with damping. ASME J. Eng. Ind. November (1968) 671-679
    • (1968) ASME J. Eng. Ind. , Issue.November , pp. 671-679
    • Dareing, D.W.1    Livesay, B.J.2
  • 10
    • 0016013907 scopus 로고
    • Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
    • Dunn J.E., and Fosdick R.L. Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Arch. Rat. Mech. Anal. 56 (1974) 191-252
    • (1974) Arch. Rat. Mech. Anal. , vol.56 , pp. 191-252
    • Dunn, J.E.1    Fosdick, R.L.2
  • 11
    • 0029289811 scopus 로고
    • Fluids of differential type: critical review and thermodynamic analysis
    • Dunn J.E., and Rajagopal K.R. Fluids of differential type: critical review and thermodynamic analysis. Int. J. Eng. Sci. 33 (1995) 689-729
    • (1995) Int. J. Eng. Sci. , vol.33 , pp. 689-729
    • Dunn, J.E.1    Rajagopal, K.R.2
  • 12
    • 0036722193 scopus 로고    scopus 로고
    • On the unsteady unidirectional flows generated by impulsive motion of a boundary or sudden application of a pressure gradient
    • Erdogan M.E. On the unsteady unidirectional flows generated by impulsive motion of a boundary or sudden application of a pressure gradient. Int. J. Non-Linear Mech. 37 (2002) 1091-1106
    • (2002) Int. J. Non-Linear Mech. , vol.37 , pp. 1091-1106
    • Erdogan, M.E.1
  • 13
    • 0037410861 scopus 로고    scopus 로고
    • On the flows produced by a sudden application of a constant pressure gradient or by impulsive motion of a boundary
    • Erdogan M.E. On the flows produced by a sudden application of a constant pressure gradient or by impulsive motion of a boundary. Int. J. Non-Linear Mech. 38 (2003) 781-797
    • (2003) Int. J. Non-Linear Mech. , vol.38 , pp. 781-797
    • Erdogan, M.E.1
  • 14
    • 0037567572 scopus 로고    scopus 로고
    • Analytical solutions for non-Newtonian fluid flows in pipe-like domains
    • Fetecau C. Analytical solutions for non-Newtonian fluid flows in pipe-like domains. Int. J. Non-Linear Mech. 39 (2004) 225-231
    • (2004) Int. J. Non-Linear Mech. , vol.39 , pp. 225-231
    • Fetecau, C.1
  • 15
    • 33747339653 scopus 로고    scopus 로고
    • Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder
    • Fetecau C., and Fetecau C. Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder. Int. J. Eng. Sci. 44 (2006) 788-796
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 788-796
    • Fetecau, C.1    Fetecau, C.2
  • 16
    • 0018061357 scopus 로고
    • Uniqueness and drag for fluids of second grade in steady motion
    • Fosdick R.L., and Rajagopal K.R. Uniqueness and drag for fluids of second grade in steady motion. Int. J. Non-Linear Mech. 13 (1978) 131-137
    • (1978) Int. J. Non-Linear Mech. , vol.13 , pp. 131-137
    • Fosdick, R.L.1    Rajagopal, K.R.2
  • 17
    • 0018681758 scopus 로고
    • Anomalous features in the model of "second order fluids"
    • Fosdick R.L., and Rajagopal K.R. Anomalous features in the model of "second order fluids". Arch. Rat. Mech. Anal. 70 (1979) 145-152
    • (1979) Arch. Rat. Mech. Anal. , vol.70 , pp. 145-152
    • Fosdick, R.L.1    Rajagopal, K.R.2
  • 18
    • 0040264386 scopus 로고
    • Steady flow of a simple fluid around a rotating sphere
    • Fosdick R.L., and Kao B.G. Steady flow of a simple fluid around a rotating sphere. Rheol. Acta 19 (1980) 675-697
    • (1980) Rheol. Acta , vol.19 , pp. 675-697
    • Fosdick, R.L.1    Kao, B.G.2
  • 19
    • 34250517742 scopus 로고
    • Drag on a sphere oscillating in an elastico-viscous fluid
    • Frater K.R. Drag on a sphere oscillating in an elastico-viscous fluid. ZAMP 18 (1967) 798-813
    • (1967) ZAMP , vol.18 , pp. 798-813
    • Frater, K.R.1
  • 20
    • 34250535084 scopus 로고
    • Drag on a circular cylinder oscillating in an elastico-viscous fluid
    • Frater K.R. Drag on a circular cylinder oscillating in an elastico-viscous fluid. ZAMP 19 (1968) 510-512
    • (1968) ZAMP , vol.19 , pp. 510-512
    • Frater, K.R.1
  • 21
    • 34250533041 scopus 로고
    • The damping force on a body oscillating in an elastico-viscous fluid
    • Frater K.R. The damping force on a body oscillating in an elastico-viscous fluid. ZAMP 19 (1968) 665-668
    • (1968) ZAMP , vol.19 , pp. 665-668
    • Frater, K.R.1
  • 22
    • 0001319402 scopus 로고    scopus 로고
    • Simple flows of fluids with pressure-dependent viscosities
    • Hron J., Malek J., and Rajagopal K.R. Simple flows of fluids with pressure-dependent viscosities. Proc. R. Soc. Lond., A 457 (2001) 1603-1622
    • (2001) Proc. R. Soc. Lond., A , vol.457 , pp. 1603-1622
    • Hron, J.1    Malek, J.2    Rajagopal, K.R.3
  • 25
    • 0002167114 scopus 로고
    • Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity
    • Man C.S. Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity. Arch. Rat. Mech. Anal. 119 (1992) 35-57
    • (1992) Arch. Rat. Mech. Anal. , vol.119 , pp. 35-57
    • Man, C.S.1
  • 26
    • 0010416068 scopus 로고
    • Drag on a rod undergoing longitudinal and torsional oscillations in a non-Newtonian fluid
    • Maneschy C.E., and Massoudi M. Drag on a rod undergoing longitudinal and torsional oscillations in a non-Newtonian fluid. J. Math. Phys. Sci. 27 (1993) 87-102
    • (1993) J. Math. Phys. Sci. , vol.27 , pp. 87-102
    • Maneschy, C.E.1    Massoudi, M.2
  • 27
    • 0037374881 scopus 로고    scopus 로고
    • Constitutive relations for the interaction force in multicomponent particulate flows
    • Massoudi M. Constitutive relations for the interaction force in multicomponent particulate flows. Int. J. Non-Linear Mech. 38 (2003) 313-336
    • (2003) Int. J. Non-Linear Mech. , vol.38 , pp. 313-336
    • Massoudi, M.1
  • 28
    • 33748289419 scopus 로고    scopus 로고
    • On drag and lift forces in two dimensional flows of a particulate mixture: a theoretical study
    • Massoudi M. On drag and lift forces in two dimensional flows of a particulate mixture: a theoretical study. Acta Mech. 185 (2006) 131-146
    • (2006) Acta Mech. , vol.185 , pp. 131-146
    • Massoudi, M.1
  • 29
    • 10044248396 scopus 로고    scopus 로고
    • Flow of a generalized second grade non-Newtonian fluid with variable viscosity
    • Massoudi M., and Phuoc T.X. Flow of a generalized second grade non-Newtonian fluid with variable viscosity. Continuum Mech. Thermodyn. 16 (2004) 529-538
    • (2004) Continuum Mech. Thermodyn. , vol.16 , pp. 529-538
    • Massoudi, M.1    Phuoc, T.X.2
  • 30
    • 33747792022 scopus 로고    scopus 로고
    • Unsteady shear flow of fluids with pressure dependent viscosity
    • Massoudi M., and Phuoc T.X. Unsteady shear flow of fluids with pressure dependent viscosity. Int. J. Eng. Sci. 44 (2006) 915-926
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 915-926
    • Massoudi, M.1    Phuoc, T.X.2
  • 31
    • 38949121966 scopus 로고    scopus 로고
    • On some generalizations of the second grade fluid model
    • 10.1016/j.nonrwa.2007.02.008
    • Massoudi M., and Vaidya A. On some generalizations of the second grade fluid model. Nonlinear Anal., Part II, Real World Appl. 9 (2008) 1169-1183 10.1016/j.nonrwa.2007.02.008
    • (2008) Nonlinear Anal., Part II, Real World Appl. , vol.9 , pp. 1169-1183
    • Massoudi, M.1    Vaidya, A.2
  • 32
    • 0031373056 scopus 로고    scopus 로고
    • Longitudinal and torsional oscillations of a rod in an Oldroyd-B fluid with suction or injection
    • Pontrelli G. Longitudinal and torsional oscillations of a rod in an Oldroyd-B fluid with suction or injection. Acta Mech. 123 (1997) 57-68
    • (1997) Acta Mech. , vol.123 , pp. 57-68
    • Pontrelli, G.1
  • 33
    • 0018302594 scopus 로고
    • A note on the drag for fluids of grade three
    • Rajagopal K.R. A note on the drag for fluids of grade three. Int. J. Non-Linear Mech. 14 (1979) 361-364
    • (1979) Int. J. Non-Linear Mech. , vol.14 , pp. 361-364
    • Rajagopal, K.R.1
  • 34
    • 0020292255 scopus 로고
    • A note on unsteady unidirectional flows of a non-Newtonian fluid
    • Rajagopal K.R. A note on unsteady unidirectional flows of a non-Newtonian fluid. Int. J. Non-Linear Mech. 17 (1982) 369-373
    • (1982) Int. J. Non-Linear Mech. , vol.17 , pp. 369-373
    • Rajagopal, K.R.1
  • 36
    • 0020592051 scopus 로고
    • Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid
    • Rajagopal K.R. Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid. Acta Mech. 49 (1983) 281-285
    • (1983) Acta Mech. , vol.49 , pp. 281-285
    • Rajagopal, K.R.1
  • 37
    • 0000762280 scopus 로고
    • On boundary conditions for fluids of differential type
    • Sequeira A. (Ed), Plenum Press, New York
    • Rajagopal K.R. On boundary conditions for fluids of differential type. In: Sequeira A. (Ed). Navier-Stokes Equations and Related Nonlinear Problems (1995), Plenum Press, New York 273-278
    • (1995) Navier-Stokes Equations and Related Nonlinear Problems , pp. 273-278
    • Rajagopal, K.R.1
  • 38
    • 33747799123 scopus 로고    scopus 로고
    • Couette flows of fluids with pressure dependent viscosity
    • Rajagopal K.R. Couette flows of fluids with pressure dependent viscosity. Int. J. Appl. Mech. Eng. 9 (2004) 573-585
    • (2004) Int. J. Appl. Mech. Eng. , vol.9 , pp. 573-585
    • Rajagopal, K.R.1
  • 39
    • 33645805689 scopus 로고    scopus 로고
    • On implicit constitutive theories for fluids
    • Rajagopal K.R. On implicit constitutive theories for fluids. J. Fluid Mech. 550 (2006) 243-249
    • (2006) J. Fluid Mech. , vol.550 , pp. 243-249
    • Rajagopal, K.R.1
  • 40
    • 2342540675 scopus 로고
    • Longitudinal and torsional oscillations of a solid cylinder in a simple fluid
    • Rajagopal K.R., Kaloni P.N., and Tao L. Longitudinal and torsional oscillations of a solid cylinder in a simple fluid. J. Math. Phys. Sci. 23 (1989) 445-479
    • (1989) J. Math. Phys. Sci. , vol.23 , pp. 445-479
    • Rajagopal, K.R.1    Kaloni, P.N.2    Tao, L.3
  • 41
    • 0002230177 scopus 로고
    • Some remarks on boundary conditions for flows of fluids of the differential type
    • Hemisphere Press
    • Rajagopal K.R., and Kaloni P.N. Some remarks on boundary conditions for flows of fluids of the differential type. Continuum Mechanics and its Applications (1989), Hemisphere Press 935-942
    • (1989) Continuum Mechanics and its Applications , pp. 935-942
    • Rajagopal, K.R.1    Kaloni, P.N.2
  • 42
    • 0029490406 scopus 로고
    • Exact solutions for some simple flows of an Oldroyd-B fluid
    • Rajagopal K.R., and Bhatnagar R.K. Exact solutions for some simple flows of an Oldroyd-B fluid. Acta Mech. 113 (1995) 233-239
    • (1995) Acta Mech. , vol.113 , pp. 233-239
    • Rajagopal, K.R.1    Bhatnagar, R.K.2
  • 43
    • 0033997971 scopus 로고    scopus 로고
    • A thermodynamic frame work for the rate type fluid models
    • Rajagopal K.R., and Srinivasa A.R. A thermodynamic frame work for the rate type fluid models. J. Non-Newtonian Fluid Mech. 88 (2000) 207-227
    • (2000) J. Non-Newtonian Fluid Mech. , vol.88 , pp. 207-227
    • Rajagopal, K.R.1    Srinivasa, A.R.2
  • 44
    • 0035394571 scopus 로고    scopus 로고
    • Modeling anisotropic fluids within the framework of bodies with multiple natural configurations
    • Rajagopal K.R., and Srinivasa A.R. Modeling anisotropic fluids within the framework of bodies with multiple natural configurations. J. Non-Newtonian Fluid Mech. 99 (2001) 109-124
    • (2001) J. Non-Newtonian Fluid Mech. , vol.99 , pp. 109-124
    • Rajagopal, K.R.1    Srinivasa, A.R.2
  • 45
    • 47749117237 scopus 로고    scopus 로고
    • On the development of fluid models of the differential type within a new thermodynamical framework
    • 10.1016/j.mechrescom.2008.02.004
    • Rajagopal K.R., and Srinivasa A.R. On the development of fluid models of the differential type within a new thermodynamical framework. Mech. Res. Commun. (2008) 10.1016/j.mechrescom.2008.02.004
    • (2008) Mech. Res. Commun.
    • Rajagopal, K.R.1    Srinivasa, A.R.2
  • 46
    • 0019150529 scopus 로고
    • Drag invariance in microcontinuum fluid mechanics
    • Ramkissoon H., and Devanathan R. Drag invariance in microcontinuum fluid mechanics. Acta Mech. 37 (1980) 145-151
    • (1980) Acta Mech. , vol.37 , pp. 145-151
    • Ramkissoon, H.1    Devanathan, R.2
  • 47
    • 0020549891 scopus 로고
    • Stokes force in microcontinuum fluid mechanics
    • Ramkissoon H., and O'Neill M.E. Stokes force in microcontinuum fluid mechanics. Acta Mech. 46 (1983) 129-143
    • (1983) Acta Mech. , vol.46 , pp. 129-143
    • Ramkissoon, H.1    O'Neill, M.E.2
  • 48
    • 0001621320 scopus 로고
    • Flow due to the longitudinal and torsional oscillation of a cylinder
    • Ramkissoon H., and Majumdar S.R. Flow due to the longitudinal and torsional oscillation of a cylinder. ZAMP 41 (1990) 598-603
    • (1990) ZAMP , vol.41 , pp. 598-603
    • Ramkissoon, H.1    Majumdar, S.R.2
  • 49
    • 0025849329 scopus 로고
    • Longitudinal and torsional oscillation of a rod in a polar fluid
    • Ramkissoon H., Easwaran C.V., and Majumdar S.R. Longitudinal and torsional oscillation of a rod in a polar fluid. Int. J. Eng. Sci. 29 (1991) 215-221
    • (1991) Int. J. Eng. Sci. , vol.29 , pp. 215-221
    • Ramkissoon, H.1    Easwaran, C.V.2    Majumdar, S.R.3
  • 50
    • 0001526376 scopus 로고
    • Stress deformation relations for isotropic materials
    • Rivlin R.S., and Ericksen J.L. Stress deformation relations for isotropic materials. J. Rat. Mech. Anal. 4 (1955) 323-425
    • (1955) J. Rat. Mech. Anal. , vol.4 , pp. 323-425
    • Rivlin, R.S.1    Ericksen, J.L.2
  • 52
    • 0022440561 scopus 로고
    • Torsional oscillation of a rod in a layered medium of simple fluids
    • Siginer A. Torsional oscillation of a rod in a layered medium of simple fluids. Int. J. Eng. Sci. 24 (1986) 631-640
    • (1986) Int. J. Eng. Sci. , vol.24 , pp. 631-640
    • Siginer, A.1
  • 53
    • 0000119455 scopus 로고
    • On the theories of the internal friction of liquids in motion, and of the equilibrium and motion of elastic solids
    • Stokes G.G. On the theories of the internal friction of liquids in motion, and of the equilibrium and motion of elastic solids. Trans. Camb. Phil. Soc. 8 (1845) 287-305
    • (1845) Trans. Camb. Phil. Soc. , vol.8 , pp. 287-305
    • Stokes, G.G.1
  • 54
    • 51549098646 scopus 로고    scopus 로고
    • G.G. Stokes, On the effects of rotations of cylinder or spheres round there axes in increasing the logarithmic decrement of the arc of vibration. Mathematical and Philosophical Papers 5 (1886) 207-214. Cambridge University Press.
    • G.G. Stokes, On the effects of rotations of cylinder or spheres round there axes in increasing the logarithmic decrement of the arc of vibration. Mathematical and Philosophical Papers 5 (1886) 207-214. Cambridge University Press.
  • 56
    • 51549113647 scopus 로고
    • Rotary oscillation of a long circular cylinder in a viscous fluid
    • Winny H.F. Rotary oscillation of a long circular cylinder in a viscous fluid. Phil. Mag. 14 (1932) 1026-1032
    • (1932) Phil. Mag. , vol.14 , pp. 1026-1032
    • Winny, H.F.1


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