Applications of the Numerical Inversion of the Laplace transform to unsteady problems of the third grade fluid
作者： M. Awais
DOI: 10.1016/J.AMC.2014.10.109
关键词:
摘要: Abstract In this article, we have effectively used the Numerical Inversion of Laplace transform to study some time dependent problems third grade fluid. To do so, considered three different types unsteady flows fluid, namely (a) Unsteady flow over a flat rigid plate with porous medium. (b) MHD in (c) non-porous space Hall currents. The solution governing equation each case is obtained by using standard transform. However, solutions from back original space, Graphical results for been presented show effects parameters involved and how fluid evolves time.
sci-hub.se 参考文章(23)
M.E. Erdoğan, C.E. İmrak, Flow due to non-coaxial rotation of a porous disk and a second grade fluid rotating at infinity International Journal of Non-linear Mechanics. ,vol. 46, pp. 986- 989 ,(2011) , 10.1016/J.IJNONLINMEC.2011.04.013
Taha Aziz, F.M. Mahomed, Muhammad Ayub, D.P. Mason, Non-linear time-dependent flow models of third grade fluids: A conditional symmetry approach International Journal of Non-Linear Mechanics. ,vol. 54, pp. 55- 65 ,(2013) , 10.1016/J.IJNONLINMEC.2013.03.013
Juraj Valsa, Lubomír Brančik, Approximate formulae for numerical inversion of Laplace transforms International Journal of Numerical Modelling-electronic Networks Devices and Fields. ,vol. 11, pp. 153- 166 ,(1998) , 10.1002/(SICI)1099-1204(199805/06)11:3<153::AID-JNM299>3.0.CO;2-C
J. Ernest Dunn, Roger L. Fosdick, Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade Archive for Rational Mechanics and Analysis. ,vol. 56, pp. 191- 252 ,(1974) , 10.1007/BF00280970
M. Sajid, M. Awais, S. Nadeem, T. Hayat, The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method Computers & Mathematics with Applications. ,vol. 56, pp. 2019- 2026 ,(2008) , 10.1016/J.CAMWA.2008.04.022
S. Nadeem, M. Awais, THIN FILM FLOW OF A NON-NEWTONIAN FLUID DOWN A VERTICAL CYLINDER THROUGH A POROUS MEDIUM Journal of Porous Media. ,vol. 13, pp. 973- 980 ,(2010) , 10.1615/JPORMEDIA.V13.I11.30
Gamal M. Abdel-Rahman, Effect of Magnetohydrodynamic on Thin Films of Unsteady Micropolar Fluid through a Porous Medium Journal of Modern Physics. ,vol. 2, pp. 1290- 1304 ,(2011) , 10.4236/JMP.2011.211160
Tasawar Hayat, I. Khan, R. Ellahi, C. Fetecau, Some MHD Flows of a Second Grade Fluid through the Porous Medium Journal of Porous Media. ,vol. 11, pp. 389- 400 ,(2008) , 10.1615/JPORMEDIA.V11.I4.50
F. R. de Hoog, J. H. Knight, A. N. Stokes, An Improved Method for Numerical Inversion of Laplace Transforms SIAM Journal on Scientific and Statistical Computing. ,vol. 3, pp. 357- 366 ,(1982) , 10.1137/0903022
I. Khan, M. Imran, K. Fakhar, New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium International Journal of Mathematics and Mathematical Sciences. ,vol. 2011, pp. 1- 12 ,(2011) , 10.1155/2011/408132