Reply to the comments on: ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet”
Abstract
In this reply to comment on ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet” by R. A. Van Gorder and K. Vajravelu manuscript [R. A. Van Gorder, K. Vajravelu, Cent. Eur. J. Phys., DOI:10. 2478/s11534-009-0145-2], we once again claim that the governing similarity equations of Vajravelu and Roper [K. Vajravelu, T. Roper, Int. J. Nonlin. Mech. 34, 1031 (1999)] are incorrect and our claim in [M. Ayub, H. Zaman, M. Ahmad, Cent. Eur. J. Phys. 8, 135 (2010)] is true. For the literature providing justification regarding this issue is discussed in detail.
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[1] R. A. Van Gorder, K. Vajravelu, Cent. Eur. J. Phys., DOI:10. 2478/s11534-009-0145-2
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[2] K. Vajravelu, T. Roper, Int. J. Nonlin. Mech. 34, 1031 (1999) http://dx.doi.org/10.1016/S0020-7462(98)00073-0
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[3] K. Vajravelu, D. Rollins, Appl. Math. Comput. 148, 783 (2004) http://dx.doi.org/10.1016/S0096-3003(02)00942-6
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[4] M. Sajid, T. Hayat, S. Asghar, Int. J. Heat Mass Tran. 50, 1723 (2007) http://dx.doi.org/10.1016/j.ijheatmasstransfer.2006.10.011
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[5] J. E. Dunn, R. L. Fosdick, Arch. Ration. Mech. An. 56, 191 (1974) http://dx.doi.org/10.1007/BF00280970
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[6] T. Hayat, Z. Abbas, I. Pop, Numer. Meth. Part. D. E., DOI:10.1002/num.20432
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[7] M. S. Abel, M. M. Nandeppanavar, Commun. Nonlinear Sci. 14, 2120 (2009) http://dx.doi.org/10.1016/j.cnsns.2008.06.004
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[8] F. M. Hady, R. S. R Gorla, Acta Mech. 128, 201 (1998) http://dx.doi.org/10.1007/BF01251890
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[9] K. Sadeghy, M. Sharifi, Int. J. Nonlin. Mech. 39, 1265 (2004) http://dx.doi.org/10.1016/j.ijnonlinmec.2003.08.005
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[10] S. Abel, P. H. Veena, K. Rajgopal, V. K. Parvin, Int. J. Nonlin. Mech. 39, 1067 (2004) http://dx.doi.org/10.1016/S0020-7462(03)00097-0
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[11] M. Ayub, H. Zaman, M. Ahmad, Cent. Eur. J. Phys. 8, 135 (2010) http://dx.doi.org/10.2478/s11534-009-0110-0
