Acta Mechanica

, Volume 215, Issue 1–4, pp 25–28 | Cite as

Comment on “On a class of exact solutions of the equations of motion of a second grade fluid” by C. Fetecău and J. Zierep (Acta Mech. 150, 135–138, 2001)

  • Ivan C. Christov
  • C. I. Christov


Incorrect Solution Fourier Sine Generalize Burger Heaviside Unit Step Function Porous Half Space 
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  1. 1.
    Fetecău C., Zierep J.: On a class of exact solutions of the equations of motion of a second grade fluid. Acta Mech. 150, 135–138 (2001)zbMATHCrossRefGoogle Scholar
  2. 2.
    Puri P.: Impulsive motion of a flat plate in a Rivlin-Ericksen fluid. Rheol. Acta 23, 452–453 (1984)CrossRefGoogle Scholar
  3. 3.
    Jordan P.M.: Comments on: “Exact solution of Stokes’ first problem for heated generalized Burgers’ fluid in a porous half-space” [Nonlinear Anal. RWA 9 (2008) 1628]. Nonlinear Anal. RWA 11, 1198–1200 (2010)zbMATHCrossRefGoogle Scholar
  4. 4.
    Stokes G.G.: On the effect of the internal friction of fluids on the motion of pendulums. Trans. Cambridge Phil. Soc. 9(Part II), 8–106 (1819)Google Scholar
  5. 5.
    Churchill R.V., Brown J.W.: Fourier series and boundary value problems. McGraw–Hill, New York (1978)zbMATHGoogle Scholar
  6. 6.
    Strikwerda J.: Finite difference schemes and partial differential equations. SIAM, Philadelphia (2004)zbMATHGoogle Scholar
  7. 7.
    Christov C.I., Jordan P.M.: Comment on “Stokes’ first problem for an Oldroyd-B fluid in a porous half space” [Phys. Fluids 17, 023101 (2005)]. Phys. Fluids 21, 069101 (2009)CrossRefGoogle Scholar
  8. 8.
    Barenblatt G.I., Zheltov Iu.P., Kochina I.N.: Basic concepts in the theory of see page of homogeneous liquids in fissured rocks [strata]. J. Appl. Math. Mech. (PMM) 24, 1286–1303 (1960)zbMATHCrossRefGoogle Scholar
  9. 9.
    Jordan P.M., Puri P.: Stokes’ first problem for a Rivlin–Ericksen fluid of second grade in a porous half-space. Int. J. Non-linear Mech. 38, 1019–1025 (2003)zbMATHCrossRefGoogle Scholar
  10. 10.
    Joseph D.D.: Instability of the rest state of fluids of arbitrary grade greater than one. Arch. Rational Mech. Anal. 75, 251–256 (1981)zbMATHCrossRefGoogle Scholar
  11. 11.
    Tanner R.I.: Engineering rheology. 2nd edn. Oxford University Press, New York (2000)Google Scholar
  12. 12.
    Aksel N.: A brief note from the editor on the “second-order fluid”. Acta Mech. 157, 235–236 (2002)zbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of Engineering Sciences and Applied MathematicsNorthwestern UniversityEvanstonUSA
  2. 2.Department of MathematicsUniversity of Louisiana at LafayetteLafayetteUSA

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