×

Perturbation technique on MHD slip flow of an accelerated plate with Hall current. (English) Zbl 1498.76104

Giri, Debasis (ed.) et al., Proceedings of the seventh international conference on mathematics and computing, ICMC 2021, Shibpur, India, March 2–5, 2021. Singapore: Springer. Adv. Intell. Syst. Comput. 1412, 979-994 (2022).
Summary: The current work focused on an unsteady incompressible viscous electrically conducting magnetohydrodynamic fluid flow of a periodically moving plate having partial slippage with Hall currents in a rotating system using perturbation technique. This work is applicable to biomedical science and biological systems. The solutions for the governing equation of momentum are obtained for the velocity profiles. The numerical outcomes for various estimations of the governing parameters are acquired. The profiles of both the velocity distributions have been drawn and their behavior is talked about. Variation of the skin friction components is presented in the form of graphs. A comparison of these numerical results with the exact solution derived by Laplace transform approach is also performed.
For the entire collection see [Zbl 1491.65006].

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76U05 General theory of rotating fluids
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
Full Text: DOI

References:

[1] Bigelow, F.H.: The Solar Crana. Smithsonian Institution, Washington D.C. (1889)
[2] Larmor, Joseph,: Geophysical and Strophysical Dynamo Theory. Gunther Rudiger, Rainer Hollerbach (edtrs), Wiley-VCH (1919)
[3] Von Karman, Biot,M.A.: Mathematical methods in Engineering. Mc Graw-Hill, New York (1940) · JFM 66.0197.03
[4] Katagiri, M., The effect of Hallcurrent on the magneto hydrodynamic boundary layerflow past a semi-infinite flatplate, J. Phys. Soc. Japan., 27, 1051 (1969) · doi:10.1143/JPSJ.27.1051
[5] Debnath, L.; Ray, SC; Chatterjee, AK, Effect of Hall current and rotation on unsteady hydromagnetic flow past a porous plate in a rotating system, ZAMM., 59, 469-471 (1979) · Zbl 0437.76097 · doi:10.1002/zamm.19790590910
[6] Pop, I.: The effect of Hall current on hydromagnetic flow near accelerated plate. J. Math. Phys. Sci. (1971) 375 · Zbl 0229.76074
[7] Muhim Chutia., Deka, P.N.: Numerical solution of unsteady MHD couette flow in the presence of uniform sucton and injection with Hall effect. Iranian. J. Sci. Tech., Transactions. Mech. Eng. (2020) 1- 12
[8] Deka, R.K: Hall Effect on MHD Flow Passed an Accelerated plate. The. App. Mec. Vol. 35(4). (2008) 333-346 · Zbl 1187.76769
[9] Takhar, HS; Chamkha, AJ; Nath, G., Flow and heattransfer on a stretching surface in a rotating fluid with a magnetic field, Int. J. Ther. Sci., 423, 1, 23-31 (2003) · doi:10.1016/S1290-0729(02)00004-2
[10] Farhad, A.; Narzieha, M.; Sharidan, S., Hydro-magnetic rotating flow in a porous medium with slip condition and Hall current, Int. J. Phys. Sci., 7, 1540-1548 (2012) · doi:10.5897/IJPS11.1767
[11] Lance, G.N., Rogurs, M.H.: Unsteady slip flow over a flat plate. Proc. R. Soc. A. (1962) 109
[12] Bhatt, BS; Sacheti, NS, On the analogy in slip flows, Int. J. Pure. Appl. Math., 10, 303-306 (1979) · Zbl 0393.76023
[13] Matthews, Miccal, Hill, James, M.: Effect of slip on the linear stability of flow through a tube. Z. Angew. Math. Phys. Vol. 59 (2008) 360-379 · Zbl 1138.76038
[14] S. Ahmad, S., Chishtie, F., Mahmood, A.: Analytical technique for magnetohydrodynamic (MHD) fluid flow of a periodically accelerated plate with slippage. Eur. J. Mech. B/Fluids. Vol. 65. (2017) 192-198. · Zbl 1408.76568
[15] Turkyilmazoglu, M., Unsteady flow over a accelerating rotating sphere, Phys Fluids, 30, 1-9 (2018)
[16] Hetnarski, R.B.: An algorithm for generating some Inverse Laplace Transforms of exponential form. J. Appl. Math. Phys. (ZAMP). (1975) 249-253 · Zbl 0313.44001
[17] Narahari, M.; Debnath, M., Some new convolution properties and inversion formulas of Laplace Transform, Integral Transforms Spec. Funct., 25, 412-422 (2014) · Zbl 1290.44001 · doi:10.1080/10652469.2013.870172
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.