Abstract
In the present paper, an attempt has been made to find the vorticity of incompressible fluid in the hydromagnetic two-phase flow through two parallel plates in a rotating system. Variations in the vorticity are studied through vorticity profiles, and some very important conclusions are drawn. It is also observed that the flow in both the regions is self-superposable. The conditions for the flow in both regions to become irrotational are found.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R.N. Barik, G.C. Dash, P.K. Rath, Steady laminar MHD flow of viscoelastic fluid through a porous pipe embedded in a porous medium. Alexandria Eng. J. 57, 973–982 (2018)
R. Ballabh, Two dimensional superposable motions. J. Indian Math. Soc. 16, 191–197 (1952)
R.C. Chaudhary, A.K. Jha, Effects of chemical reaction on MHD micropolar fluid flow past a vertical plate in slip-flow regime. Appl. Math. Mech. 29(9), 1179–1194 (2008)
A.J. Chamkha, Hydromagnetic two-phase flow in a channel. Int. J. Eng. Sci. 33(3), 437–446 (1995)
A.J. Chamkha, H.M. Ramadan, Analytical solutions for free convection flow of a particulate suspension past an infinite vertical surface. Int. J. Eng. Sci. 36, 49–60 (2000)
El-Amin, A. Salam, S. Sun, Numerical and dimensional investigation of two-phase countercurrent imbibitions in porous media. J. Comput. Appl. Mathe. 242, 285–296 (2013)
El-Amin, Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction. J. Magn. Magn. Mater. 234(3), 567–574 (2001)
A.S. Gupta, Hydrodynamic flow past a porous flat plate with Hall effects. Acta Mech. 22, 281–287 (1975)
A.S. Gupta, J.C. Misra, M. Reza, Magnetohaydrodynamic shear flow a flat plat with uniform suction or blowing. Z. Angew. Math. Phys. 56, 1030–1047 (2005)
S.K. Ghosh, J. Zueco, Hydromagnetic free convection flow with induction magnetic field effects. Meccanica 45, 175–185 (2009)
R.R. Gold, M.Z. Krzywoblocki, On superposability and self-superposability conditions for hydrodynamic equations based on continuum—II. J. Reine Angew. Math. 199, 139–164 (1958)
J.N. Kapur, Superposability in MHD flows. J. Appl. Sci. Res. 8, 198–208 (1959)
J.N. Kapur, B.L. Bhatia, Superposability and self-superposability in fluid dynamics—II. Proc. Natl. Inst. Sci. India 31A, 126–151 (1965)
J.N. Kapur, Superposability in magnetohydrodynamics. Applied scientific research 8, 198–208 (1959)
J.N. Kapur, Superposability and self-superposability in fluid dynamics. Math. Semin. 2, 1–31 (1961)
P.K. Mittal, On some magnetohydrostatic configurations a parabolic coordinates. Bull. Calcutta Math. Soc. 75, 339–352 (1983)
P.K. Mittal, M.I. Khan, On some self- superposable flows in conical ducts. Int. J. Theor. Phys. 34, 181–191 (1986)
A. Raptis, C. Massalas, G. Tzivanidis, Hydromagnetic free convection flow through a porous medium between two parallel plates. Phys. Lett. 90A, 288–289 (1982)
B.P. Reddy, Radiation and chemical reaction effects on unsteady MHD free convection parabolic flow past an infinite isothermal vertical plate with viscous dissipation. Int. J. Appl. Mech. Eng. 24(2), 343–358 (2019)
G.T. Rao, Superpoasability of the equations of MHD. Math. Soc. Jpn. 12(1), 97–103 (1960)
S. Rastogi, B.N. Kaul, S. Ranjan, Superposability in hydrodynamic and MHD flows. J. Fluid Dyn. 5, 151–170 (2015)
Z. Recebli, H. Kurt, Two-phase steady flow along a glass pipe in the presence of magnetic and electric field. Int. J. Heat Fluid Flow 29, 263–268 (2008)
P.K. Sharma, B.K. Sharma, R.C. Chaudhary, Unsteady free convection oscillatory Couette flow through a porous medium with periodic wall temperature. Tamkang J. Math. 38(1), 93–102 (2007)
Z. Shao, N.A. Shah, I. Tlili, U. Afzal, Hydromagnetic free convection flow of viscous fluid between vertical parallel plates with damped thermal and mass fluxes. Alexandria Eng. J. 58, 989–1000 (2019)
Acknowledgements
One of the authors (Dr. Alok Darshan Kothiyal) is thankful to Mr. Sandeep Kumar (Registrar GBPIET Pauri Garhwal, Uttarakhand) for his constant support during this work.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Kothiyal, A.D., Kumar, R., Bhatt, S., Dobhal, G., Uniyal, N. (2021). A Note on Vorticity of Hydromagnetic Two-Phase Flow Through Two Parallel Plates in a Rotating System. In: Singh Mer, K.K., Semwal, V.B., Bijalwan, V., Crespo, R.G. (eds) Proceedings of Integrated Intelligence Enable Networks and Computing. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-33-6307-6_79
Download citation
DOI: https://doi.org/10.1007/978-981-33-6307-6_79
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-33-6306-9
Online ISBN: 978-981-33-6307-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)