Abstract
Thermal and mass diffusion of time-dependent hydromagnetic second-order fluid through porous medium has been considered. The porous medium is formed between two vertical parallel plates. The buoyancy force generates the free convection. In this investigation the effect of external heat agency is also considered. The governing equations of the flow field are solved using regular perturbation technique. The expressions for velocity, temperature concentration and skin friction are obtained analytically. The variation of skin friction with the combination of different flow parameters computed using MATLAB software is represented graphically.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ariel, P.D.: The flow of a viscoelastic fluid past a porous plate. Acta Mech. 107, 199–204 (1994)
Beavers, G.S., Joseph, D.D.: Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30(1), 197–207 (1967)
Choudhary, R., Das, U.J.: Heat transfer to MHD oscillatory viscoelastic flow in a channel filled with porous medium. Phys. Res. Int. (2012). https://doi.org/10.1155/2012/879537
Coleman, B.D., Noll, W.: An approximation theorem for functional, with applications in continuum mechanics. Arch. Ration. Mech. Anal. 6, 355–370 (1960)
Hayat, T., Asghar, S., Siddiqui, A.M.: Periodic unsteady flows of a non-Newtonian fluid. Acta Mech. 131, 169–173 (1998)
Hayat, T., Hutter, K., Nadeem, S., Asghar, K.: Unsteady hydromagnetic rotating flow of a conducting second grade fluid. Z. Angew. Math. Mach. 55, 626–641 (2004)
Hossain, M.A., Rashid, R.I.M.I.: Hall effect on hydromagnetic free convection flow along a porous flat plate with mass transfer. J. Phys. Soc. Jpn. 56, 97–104 (1987)
Jana, R.N., Datta, N.: Couette flow and heat transfer in a rotating system. Acta Mech. 26, 301–306 (1977)
Kumar, R., Chand, K.: Effect of slip conditions and Hall current on unsteady MHD flow of a viscoelastic fluid past an infinite vertical porous plate through porous medium. Int. J. Eng. Sci. Tech. 3, 3124–3133 (2011)
Markovitz, H., Coleman, B.D.: Incompressible second order fluids. Adv. Appl. Mech. 8, 69–101 (1964)
Pop, I., Gorla, R.S.R.: Second order boundary layer solution for a continuous moving surface in a non-Newtonian fluid. Int. J. Eng. Sci. 28, 313–322 (1990)
Puri, P., Kulshreshtha, P.K.: Rotating flow of a non-Newtonian fluids. Appl. Anal. 4, 131–140 (1974)
Seth, G.S., Nandkeolyar, R., Ansari, MdS: Unsteady MHD convective flow within a parallel plate rotating channel with thermal source/sink in a porous medium under slip boundary conditions. Int. J. Eng. Sci. Technol. 2(11), 1–16 (2010)
Singh, K.D.: Exact solution of MHD mixed convection periodic flow in a rotating vertical channel with heat radiation. Int. J. Appl. Mech. Eng. (IJAME) 18, 853–869 (2013)
Singh, K.D.: Viscoelastic mixed convection MHD oscillatory flow through a porous medium filled in a vertical channel. Int. J. Phy. Math. Sci. 3, 194–205 (2012)
Singh, A.K., Singh, N.P.: MHD flow of a dusty viscoelastic liquid through a porous medium between two inclined parallel plates. In: Proceedings of the National Academy of Sciences, India, vol. 66A, pp. 143–150 (1966)
Sulochana, P: Hall current effects on unsteady MHD convective flow of heat generating/absorbing fluid through porous medium in a rotating parallel plate channel. Int. J. Adv. Res. Ideas Innov. Tech. 2(6), 1–11 (2016)
Vidyanidhuand, V., Nigam, S.D.: Secondary flow in a rotating channel. J. Math. Phys. Sci. 1, 85(1967)
Acknowledgements
I gratefully acknowledge to Dr. R. Choudhury, Professor, Department of Mathematics, Gauhati University for her valuable help during the preparation of the paper.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Deb, H.R. (2019). Second-Order Fluid Through Porous Medium in a Rotating Channel with Hall Current. In: Abraham, A., Dutta, P., Mandal, J., Bhattacharya, A., Dutta, S. (eds) Emerging Technologies in Data Mining and Information Security. Advances in Intelligent Systems and Computing, vol 755. Springer, Singapore. https://doi.org/10.1007/978-981-13-1951-8_33
Download citation
DOI: https://doi.org/10.1007/978-981-13-1951-8_33
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-1950-1
Online ISBN: 978-981-13-1951-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)