Abstract
The effect of slip condition on the flow of third order fluid past a porous plate with variable suction is investigated. Perturbation solution of the resulting problem is derived. Several limiting solutions have been deduced. Graphs are plotted and discussed.
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Markovitz M, Coleman BD (1964) Adv Appl Mech 8:69–101
Soares EJ, Naccache MF, Mendes SPR (1999) Heat transfer to viscoplastic liquids flowing laminarly in entrance region of tubes. Int J Heat Fluid Flow 20:60–67
Eldabe NTM, Moatimid GM, Ali HSM (2003) Magnetohydrodynamics flow if non-Newtonian viscoelastic fluid through a porous medium near an accelerated plate. Can J Phys 81:1249–1269
Teipel I (1981) The impulsive motion of a flat plate in a viscoelastic fluid. Acta Mech 39:277–279
Bandelli R, Rajagopal KR, Galdi GP (1995) On some unsteady motions of fluid of second grade. Arch Mech 47:661–676
Fetecau C, Zierep J (2001) On a class of exact solutions of the equations of motion of a second grade fluid. Acta Mech 150:135–138
Asghar S, Nadeem S, Hanif K, Hayat T (2005) Analytic solution of Stokes second problem for second grade fluid. Math Prob Eng 2006:1–8
Hayat T, Mohyuddin MR, Asghar S, Siddiqui AM (2004) The flow of a viscoelastic fluid on an oscillating plate. Z Angew Math Mech 84:65–70
Fetecau C, Fetecau C (2005) Starting solution for unsteady unidirectional flows of a second grade fluid. Int J Eng Sci 43:781–789
Bandelli R, Rajagopal KR (1995) Start-up flows of second grade fluids in domains with one finite dimension. Int J Non-Linear Mech 50:817–839
Hayat T, Hameed MI, Asghar S, Siddiqui AM (2004) Some steady MHD flows of the second order fluid. Meccanica 39:345–355
Asghar S, Hanif K, Nadeem S, Hayat T (2004) Magnetohydrodynamic rotating flow of a second grade fluid with a given volume flow rate variation. Meccanica 39:483–488
Rajagopal KR, Na TY (1983) On Stokes problem for a non-Newtonian fluid. Acta Mech 48:233–239
Erdogan ME (1995) Plane surface suddenly set into motion in a non-Newtonian fluid. Acta Mech 108:179–187
Asghar S, Mohyuddin MR, Hayat T (2003) Unsteady flow of a third-grade fluid in the case of suction. Math Comput Model 38:201–208
Hayat T, Kara AH (2006) Couette flow of a third grade fluid with variable magnetic field. Math Comput Model 43:132–137
Hayat T, Kara AH (2007) A variational analysis of a non-Newtonian flow in a rotating system. Int J Comput Fluid Dyn 20(3–4):157–162
Hayat T, Ellahi E, Ariel PD, Asghar S (2006) Homotopy solution for the channel flow of a third grade fluid. Nonlinear Dyn. 45:55–64
Hayat T, Ali N (2006) Peristaltically induced motion of a MHD third grade fluid in a deformable tube. Physica A 370:225–239
Asghar S, Mohyuddin MR, Ariel PD, Hayat T (2006) On Stokes’ problem for the flow of a third grade fluid induced by a variable shear stress. Can. J. Phys. 84:945–958
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Ayub, M., Anis, M.R. & Hayat, T. Slip effects on the flow of a third order fluid with variable suction. Meccanica 42, 527–535 (2007). https://doi.org/10.1007/s11012-007-9073-7
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DOI: https://doi.org/10.1007/s11012-007-9073-7