×

Stokes’ first problem for the rotating flow of a third grade fluid. (English) Zbl 1154.76332

Summary: This work is concerned with the unsteady rotating flow of the third grade fluid over a suddenly moving plate in its own plane. The non-linear problem governing the flow has been solved numerically. The influence of material parameter of third grade fluid and rotation upon the velocity has been discussed.

MSC:

76D07 Stokes and related (Oseen, etc.) flows
76A05 Non-Newtonian fluids
76U05 General theory of rotating fluids
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Asghar, S.; Parveen, S.; Hanif, S.; Siddiqui, A. M.; Hayat, T., Hall effects on the hydromagnetic flows of an Oldroyd-B fluid, Int. J. Eng. Sci., 41, 609-619 (2003) · Zbl 1211.76138
[2] Fetecau, C.; Fetecau, C., A new exact solution for the flow of a Maxwell fluid past an infinite plate, Int. J. Non-Linear Mech., 38, 423-427 (2003) · Zbl 1287.76041
[3] Fetecau, C.; Fetecau, C., The first problem of Stokes for an Oldroyd-B fluid, Int. J. Non-Linear Mech., 38, 1539-1544 (2003) · Zbl 1287.76044
[4] Fetecau, C.; Fetecau, C., Starting solutions for some unsteady unidirectional flows of a second grade fluid, Int. J. Eng. Sci., 43, 10, 781-789 (2005) · Zbl 1211.76032
[5] Fetecau, C.; Hayat, T.; Fetecau, C., Steady-state solutions for some simple flows of a generalized Burgers fluids, Int. J. Non-Linear Mech., 41, 880-887 (2006) · Zbl 1160.76343
[6] Fosdick, R. L.; Rajagopal, K. R., Thermodynamics and stability of fluids of third grade, Proc. R. Soc. London A, 339, 351-377 (1980) · Zbl 0441.76002
[7] Hayat, T., Oscillatory flow of a Johnson-Segalman fluid in a rotating system, Z. Angew. Math. Mech., 18, 313-321 (2005)
[8] Hayat, T.; Nadeem, S.; Asghar, S., Hydromagnetic Couette flow of an Oldroyd-B fluid in a rotating system, Int. J. Eng. Sci., 42, 65-78 (2004) · Zbl 1211.76144
[9] Hayat, T.; Nadeem, S.; Asghar, S.; Siddiqui, A. M., Fluctuating flow of a third order fluid on a porous plate in a rotating medium, Int. J. Non-Linear Mech., 36, 901-916 (2001) · Zbl 1345.76099
[10] Hayat, T.; Nadeem, S.; Asghar, S.; Siddiqui, A. M., MHD rotating flow of a third order fluid on an oscillating porous plate, Acta Mech., 152, 177-190 (2001) · Zbl 0993.76091
[11] Hayat, T.; Nadeem, S.; Asghar, S.; Siddiqui, A. M., An oscillating hydromagnetic non-Newtonian flow in a rotating system, Appl. Math. Lett., 17, 609-614 (2004) · Zbl 1060.76130
[12] Tan, W.; Masuoka, T., Stokes’ first problem for a second grade fluid in a porous half space with heated boundary, Int. J. Non-Linear Mech., 40, 515-522 (2005) · Zbl 1349.76830
[13] Tan, W.; Masuoka, T., Stokes’ first problem for an Oldroyd-B in a porous half space, Phys. Fluids, 17, 023101-023107 (2005) · Zbl 1187.76517
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.