OPTIMAL HOMOTOPY ASYMPTOTIC METHOD SOLUTION OF UNSTEADY SECOND GRADE FLUID IN WIRE COATING ANALYSIS |
Shah, Rehan Ali
(DEPARTMENT OF MATHEMATICAL SCIENCES, COMSATS INSTITUTE OF INFORMATION TECHNOLOGY)
Islam, S. (DEPARTMENT OF MATHEMATICAL SCIENCES, COMSATS INSTITUTE OF INFORMATION TECHNOLOGY) Siddiqui, A.M. (DEPARTMENT OF MATHEMATICS, PENNSYLVANIA STATE UNIVERSITY, YARK CAMPUS) Haroon, T. (DEPARTMENT OF MATHEMATICAL SCIENCES, COMSATS INSTITUTE OF INFORMATION TECHNOLOGY) |
1 | Javed Ali, S. Islam, Sirajul Islam, Gul Zaman, The solution of multipoint boundary value problems by the Optimal Homotopy Asymptotic Method, Comp. Math. Appl. 59(6) (2010), 2000-2006. DOI ScienceOn |
2 | S. Islam, Rehan Ali Shah, Ishtiaq Ali, Optimal Homotopy Asymptotic Solutions of Couette and Poiseuille Flows of a Third Grade Fluid with Heat Transfer Analysis, Int. J. non-Linear Sci. Numeric. Simul. 11(6) (2010), 389-400. |
3 | N. Herisanu and V. Marinca, Accurate analytical solutions to oscillators with discontinuities and fractionalpower restoring force by means of the optimal homotopy asymptotic method. Comp. Math. Appl. 60 (2010), 1607-1615. DOI ScienceOn |
4 | N. Herisanu and V. Marinca, Explicit analytical approximation to large-amplitude non-linear oscillations of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia. Acta. Mech. 45 (2010), 847-855. |
5 | S. Iqbal, M. Idrees, A.M. Siddiqui and A.R. Ansari, Some solutions of the linear and non-linear Klien-Gorden equations using the Optimal Homotopy Asymptotic Method, Appl. Math. Comput. 216 (2010), 2898-2909. DOI ScienceOn |
6 | V. Marinca and N. Herisanu, Optimal homotopy perturbation method for strongly nonlinear differential equations, Nonlinear Sci. Lett. A 1(3) (2010), 273-280. |
7 | V. Marinca, N. Herisanu and I. Nemes, An Optimal Homotopy Asymptotic Method with application to thin film flow, Central Europ. J. of Phys. 6(3) (2008), 648-653. DOI ScienceOn |
8 | V. Marinca, N. Herisanu, T. Dordea, G. Madescu, A New Analytic Approach to Nonlinear Vibration of An Electrical Machine, Proc. Roman. Acad. 9(3) (2008) 229-236. |
9 | V. Marinca, N. Herisanu, C. Bota and B. Marinca, An Optimal Homotopy Asymptotic Method applied to steady flow of a fourth-grade fluid past a porous plate, Appl. Math. Letters 22 (2009), 245-251. DOI ScienceOn |
10 | V. Marinca, N. Herisanu, Application of Optimal Homotopy Asymptotic Method for solving nonlinear equations arising in heat transfer, Int. Comm. Heat Mass Tran. 35 (2008), 710-715. DOI ScienceOn |
11 | R.S. Rivlin and J.L. Ericksen, Stress deformation relation for isotropic material, J. Rational Mech. Anal, 4 (1955), 323-425. |
12 | A.M. Siddiqui, T. Haroon and H. Khan, Wire coating extrusion in a Pressure-type Die in flow of a third grade fluid, Int. J. of Non-linear Sci. and Numeric. Simul.10(2) (2009) 247-257. |
13 | R.T. Fenner and J.G. Williams, Analytical methods of wire coating die design, Trans. Plast. Inst. (London), 35 (1967), 701-706. |
14 | M. Sajjid, A.M. Siddiqui and T. Hayat, Wire Coating Analysis using MHD Oldroyd 8- Constant Fluid, Int. J. of Engg. Sci. 45 (2007), 381-392. DOI ScienceOn |
15 | E. Mitsoulis, fluid flow and heat transfer in wire coating, Ad. Poly. Tech. 6(4) (1986), 467-487. DOI ScienceOn |
16 | A.M. Siddiqui, T. Hayat, S. Asghar, Periodic flows of a non-Newtonian fluid between two parallel plates, Int. J. Non-Linear Mech. 34 (1999), 895-899. DOI ScienceOn |
17 | K.R. Rajagopal and A.S. Gupta, Flow and stability of a second grade fluid between two parallel plates rotating about non coincident axes, Int. J. Eng. Sci. 19 (1981), 1401-1409. DOI ScienceOn |
18 | C.D Han and D. Rao, The rheology of wire coating extrusion, Polymer engineering and science, 18(13) (1978), 1019-1029. DOI ScienceOn |
19 | S. Akter and M.S.J. Hashmi, Analysis of polymer flow in a canonical coating unit: power law approach, Prog. Org. Coat. 37 (1999), 15-22. DOI |
20 | S. Akter and M.S.J. Hashmi, Plasto-hydrodynamic pressure distribution in a tepered geometry wire coating unit, in: Proceedings of the 14th Conference of the Irish manufacturing committee (IMC14), Dublin, (1997) 331-340. |
21 | A.M. Siddiqui, T. Hayat and S. Asghar, Some unsteady unidirectional flows of a non-Newtonian fluid, Int. J. Eng. Sci. 38 (2000), 337-346. DOI ScienceOn |
22 | K.R. Rajagopal, A note on unsteady unidirectional flows a non-Newtonian fluid, Int. J. Non-Linear Mech. 17 (1982), 369-373. DOI ScienceOn |
23 | K.R. Rajagopal, On the creeping flow of the second grade fluid, J. Non-Newtonian Fluid Mech. 15 (1984), 239-246. DOI ScienceOn |
24 | T. Hayat, S. Asghar and A.M. Siddiqui, Periodic unsteady flows of a non-Newtonian fluids, Acta Mech. 131 (1998), 169-175. DOI |