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Volumn 61, Issue 1, 2010, Pages 133-145

On exact solutions for some oscillating motions of a generalized Oldroyd-B fluid

Author keywords

Exact solutions; Generalized Oldroyd B fluid; Oscillating motions

Indexed keywords

ANALYTICAL EXPRESSIONS; CONSTITUTIVE RELATIONSHIPS; EXACT SOLUTION; FLAT PLATE; FLUID MODELS; FOURIER; FRACTIONAL CALCULUS; GENERALIZED OLDROYD-B FLUIDS; GRAPHICAL ILLUSTRATIONS; MITTAG-LEFFLER FUNCTIONS; OLDROYD-B FLUID; OSCILLATING MOTION; OSCILLATING PRESSURE GRADIENT; SIMILAR SOLUTION; VELOCITY FIELD;

EID: 77749252592     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-009-0004-4     Document Type: Article
Times cited : (21)

References (35)
  • 1
    • 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, 282-285 (1983).
    • (1983) Acta Mech. , vol.49 , pp. 282-285
    • Rajagopal, K.R.1
  • 2
    • 0029490406 scopus 로고
    • Exact solutions for simple flows of an Oldroyd-B fluid
    • Rajagopal K. R., Bhatnagar R. K.: Exact solutions for simple flows of an Oldroyd-B fluid. Acta Mech. 113, 233-239 (1995).
    • (1995) Acta Mech. , vol.113 , pp. 233-239
    • Rajagopal, K.R.1    Bhatnagar, R.K.2
  • 3
    • 26444550706 scopus 로고    scopus 로고
    • On unsteady unidirectional flows of a second grade fluid
    • Erdoǧan M. E., Imrak C. E.: On unsteady unidirectional flows of a second grade fluid. Int. J. Nonlinear Mech. 40, 1238-1251 (2005).
    • (2005) Int. J. Nonlinear Mech. , vol.40 , pp. 1238-1251
    • Erdoǧan, M.E.1    Imrak, C.E.2
  • 4
    • 0036722192 scopus 로고    scopus 로고
    • The Rayleigh-Stokes problem for heated second grade fluids
    • Fetecau C., Fetecau C.: The Rayleigh-Stokes problem for heated second grade fluids. Int. J. Nonlinear Mech. 37, 1011-1015 (2002).
    • (2002) Int. J. Nonlinear Mech. , vol.37 , pp. 1011-1015
    • Fetecau, C.1    Fetecau, C.2
  • 5
    • 33847302855 scopus 로고    scopus 로고
    • On some helical flows of Oldroyd-B fluids
    • Fetecau C., Fetecau C., Vieru D.: On some helical flows of Oldroyd-B fluids. Acta Mech. 189, 53-63 (2007).
    • (2007) Acta Mech. , vol.189 , pp. 53-63
    • Fetecau, C.1    Fetecau, C.2    Vieru, D.3
  • 7
    • 33644523745 scopus 로고    scopus 로고
    • Some analytic solutions for second grade fluid flows for cylindrical geometries
    • Hayat T., Khan M., Ayub M.: Some analytic solutions for second grade fluid flows for cylindrical geometries. Math. Comput. Modell. 43, 16-29 (2006).
    • (2006) Math. Comput. Modell. , vol.43 , pp. 16-29
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 8
    • 27644496000 scopus 로고    scopus 로고
    • The unsteady Couette flow of a second grade fluid in a layer of porous medium
    • Hayat T., Khan M., Ayub M., Siddiqui A. M.: The unsteady Couette flow of a second grade fluid in a layer of porous medium. Arch. Mech. 57, 405-416 (2005).
    • (2005) Arch. Mech. , vol.57 , pp. 405-416
    • Hayat, T.1    Khan, M.2    Ayub, M.3    Siddiqui, A.M.4
  • 9
    • 0037466722 scopus 로고    scopus 로고
    • Unsteady unidirectional flow of a second grade fluid between the parallel plates with different given volume flow rate conditions
    • Chen C. I., Chen C. K., Yang Y. T.: Unsteady unidirectional flow of a second grade fluid between the parallel plates with different given volume flow rate conditions. Appl. Math. Comput. 137, 437-450 (2003).
    • (2003) Appl. Math. Comput. , vol.137 , pp. 437-450
    • Chen, C.I.1    Chen, C.K.2    Yang, Y.T.3
  • 10
    • 9544246749 scopus 로고    scopus 로고
    • Stokes' first problem for a second grade fluid in a porous half apace with heated boundary
    • Tan W. C., Masuoka T.: Stokes' first problem for a second grade fluid in a porous half apace with heated boundary. Int. J. Nonlinear Mech. 40, 515-522 (2005).
    • (2005) Int. J. Nonlinear Mech. , vol.40 , pp. 515-522
    • Tan, W.C.1    Masuoka, T.2
  • 11
    • 0001086663 scopus 로고
    • On the formulation of rheological equations of state
    • Oldroyd J. G.: On the formulation of rheological equations of state. Proc. Roy. Soc. Lond. A 200, 523-541 (1950).
    • (1950) Proc. Roy. Soc. Lond. A , vol.200 , pp. 523-541
    • Oldroyd, J.G.1
  • 15
    • 33747870105 scopus 로고    scopus 로고
    • Starting solutions for some unsteady unidirectional flows of Oldroyd-B fluids
    • Aksel N., Fetecau C., Scholle M.: Starting solutions for some unsteady unidirectional flows of Oldroyd-B fluids. ZAMP 57, 815-831 (2006).
    • (2006) Zamp , vol.57 , pp. 815-831
    • Aksel, N.1    Fetecau, C.2    Scholle, M.3
  • 16
    • 23944493928 scopus 로고    scopus 로고
    • Stokes' first problem for an Oldroyd-B fluid in a porous half space
    • Tan W. C., Masuoka T.: Stokes' first problem for an Oldroyd-B fluid in a porous half space. Phys. Fluids 17, 023101 (2005).
    • (2005) Phys. Fluids , vol.17 , pp. 023101
    • Tan, W.C.1    Masuoka, T.2
  • 17
    • 10644240598 scopus 로고    scopus 로고
    • Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different given volume flow rate conditions
    • Chen C. I., Chen C. K., Yang Y. T.: Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different given volume flow rate conditions. Heat Mass Transf. 40, 203-209 (2004).
    • (2004) Heat Mass Transf. , vol.40 , pp. 203-209
    • Chen, C.I.1    Chen, C.K.2    Yang, Y.T.3
  • 18
    • 1242264933 scopus 로고    scopus 로고
    • Exact solutions of flow of an Oldroyd-B fluid
    • Hayat T., Khan M., Ayub M.: Exact solutions of flow of an Oldroyd-B fluid. Appl. Math. Comput. 151, 105-119 (2004).
    • (2004) Appl. Math. Comput. , vol.151 , pp. 105-119
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 19
    • 33750468312 scopus 로고    scopus 로고
    • Hall effects on flows of an Oldroyd-B fluid through porous medium for cylindrical geometries
    • Hayat T., Hussain M., Khan M.: Hall effects on flows of an Oldroyd-B fluid through porous medium for cylindrical geometries. Comput. Math. Appl. 52, 269-282 (2006).
    • (2006) Comput. Math. Appl. , vol.52 , pp. 269-282
    • Hayat, T.1    Hussain, M.2    Khan, M.3
  • 21
    • 0020765202 scopus 로고
    • A theoretical basis for the application of fractional calculus to viscoelasticity
    • Bagley R. L.: A theoretical basis for the application of fractional calculus to viscoelasticity. J. Rheol. 27, 201-210 (1983).
    • (1983) J. Rheol. , vol.27 , pp. 201-210
    • Bagley, R.L.1
  • 22
    • 34147203638 scopus 로고
    • Relaxation and retardation functions of the Maxwell model with fractional derivative
    • Friedrich C.: Relaxation and retardation functions of the Maxwell model with fractional derivative. Rheol. Acta 30, 151-158 (1991).
    • (1991) Rheol. Acta , vol.30 , pp. 151-158
    • Friedrich, C.1
  • 23
    • 0032456990 scopus 로고    scopus 로고
    • Study on the constitutive equation with fractional derivative for the viscoelastic fluids-Modified Jeffreys model and its application
    • Song D. Y., Jiang T. Q.: Study on the constitutive equation with fractional derivative for the viscoelastic fluids-Modified Jeffreys model and its application. Rheol. Acta 27, 512-517 (1998).
    • (1998) Rheol. Acta , vol.27 , pp. 512-517
    • Song, D.Y.1    Jiang, T.Q.2
  • 24
    • 33646699530 scopus 로고    scopus 로고
    • A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
    • Tan W. C., Pan W. X., Xu M. Y.: A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates. Int. J. Nonlinear Mech. 38, 615-620 (2003).
    • (2003) Int. J. Nonlinear Mech. , vol.38 , pp. 615-620
    • Tan, W.C.1    Pan, W.X.2    Xu, M.Y.3
  • 25
    • 11144231363 scopus 로고    scopus 로고
    • Unsteady flows of a generalized second grade fluid with the fractional derivative model between two parallel plates
    • Tan W. C., Xu M. Y.: Unsteady flows of a generalized second grade fluid with the fractional derivative model between two parallel plates. Acta Mech. Sin. 20, 471-476 (2004).
    • (2004) Acta Mech. Sin. , vol.20 , pp. 471-476
    • Tan, W.C.1    Xu, M.Y.2
  • 27
    • 33646705185 scopus 로고    scopus 로고
    • Exact solutions for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law
    • Khan M., Hayat T., Asghar S.: Exact solutions for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law. Int. J. Eng. Sci. 44, 333-339 (2006).
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 333-339
    • Khan, M.1    Hayat, T.2    Asghar, S.3
  • 28
    • 33745657015 scopus 로고    scopus 로고
    • Influence of Hall current on the flows of a generalized Oldroyd-B fluid in a porous space
    • Khan M., Maqbool K., Hayat T.: Influence of Hall current on the flows of a generalized Oldroyd-B fluid in a porous space. Acta Mech. 184, 1-13 (2006).
    • (2006) Acta Mech. , vol.184 , pp. 1-13
    • Khan, M.1    Maqbool, K.2    Hayat, T.3
  • 29
    • 33750576569 scopus 로고    scopus 로고
    • Unsteady rotating flows of viscoelastic fluid with the fractional Maxwell model between coaxial cylinders
    • Qi H. T., Jin H.: Unsteady rotating flows of viscoelastic fluid with the fractional Maxwell model between coaxial cylinders. Acta Mech. Sin. 22, 301-305 (2006).
    • (2006) Acta Mech. Sin. , vol.22 , pp. 301-305
    • Qi, H.T.1    Jin, H.2
  • 30
    • 33750495838 scopus 로고    scopus 로고
    • Unsteady flow of viscoelastic fluid with fractional Maxwell model
    • Qi H. T., Xu M. Y.: Unsteady flow of viscoelastic fluid with fractional Maxwell model. Mech. Res. Commun. 34, 210-212 (2007).
    • (2007) Mech. Res. Commun. , vol.34 , pp. 210-212
    • Qi, H.T.1    Xu, M.Y.2
  • 31
    • 43049159228 scopus 로고    scopus 로고
    • Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate
    • Vieru D., Fetecau C., Fetecau C.: Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate. Appl. Math. Comput. 200, 459-464 (2008).
    • (2008) Appl. Math. Comput. , vol.200 , pp. 459-464
    • Vieru, D.1    Fetecau, C.2    Fetecau, C.3
  • 32
    • 44649157180 scopus 로고    scopus 로고
    • Flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate
    • Vieru D., Fetecau C., Fetecau C.: Flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate. Appl. Math. Comput. 201, 834-842 (2008).
    • (2008) Appl. Math. Comput. , vol.201 , pp. 834-842
    • Vieru, D.1    Fetecau, C.2    Fetecau, C.3
  • 33
    • 38149085389 scopus 로고    scopus 로고
    • Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
    • Qi H. T., Xu M. Y.: Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model. Acta Mech. Sin. 23, 463-469 (2007).
    • (2007) Acta Mech. Sin. , vol.23 , pp. 463-469
    • Qi, H.T.1    Xu, M.Y.2
  • 34
    • 64049096396 scopus 로고    scopus 로고
    • Unsteady helical flows of a generalized Oldroyd-B fluid with fractional derivative
    • doi: 10. 1016/j. nonrwa. 2008. 07. 008
    • Qi, H. T., Jin, H.: Unsteady helical flows of a generalized Oldroyd-B fluid with fractional derivative, Nonlinear Anal. Real World Appl. doi: 10. 1016/j. nonrwa. 2008. 07. 008 (2008).
    • (2008) Nonlinear Anal. Real World Appl.
    • Qi, H.T.1    Jin, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.