Welcome to Open Science
Contact Us
Home Books Journals Submission Open Science Join Us News
Boundary Layer Flow of Micropolar Fluid Along a Stretching Cone with Magnetic Effect
Current Issue
Volume 5, 2018
Issue 3 (May)
Pages: 38-44   |   Vol. 5, No. 3, May 2018   |   Follow on         
Paper in PDF Downloads: 68   Since Jun. 5, 2018 Views: 929   Since Jun. 5, 2018
M. Ali, Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong, Bangladesh.
M. A. Alim, Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh.
Similarity solution of unsteady forced convection magnetohydrodynamic boundary layer flow and heat transfer over a porous stretching cone are analyzed. The governing partial differential equations are transformed into ordinary differential equations by using local similarity transformations. The transformed equations are solved numerically subject to the boundary conditions by using Nachtsheim-Swigert iteration technique along with the 4th order Runge-Kutta integration scheme. The numerical results are checked against previously published work for special cases of the problem in order to access the accuracy of the numerical method and found to be in good agreement. The results indicates that the fluid velocity decreases for increasing values of magnetic parameter, porosity parameter and unsteadiness parameter but the reverse results arises for pressure gradient parameter, material parameter and stretching ratio parameter. The heat transfer rate decreases for increasing values of stretching ratio parameter, material parameter, pressure gradient parameter but increases for magnetic parameter, unsteadiness parameter, porosity parameter, Prandtl number and wall temperature parameter. The numerical results are presented graphically and also in tabular form.
MHD, Permeability, Microrotation, Pressure Gradient, Stretching Surface
Adekeye T., Adegun I., Okekunle P., Hussein A. K., Oyedepo S., Adetiba E. and Fayomi O., (2017): Numerical analysis of the effects of selected geometrical parameters and fluid properties on MHD natural convection flow in an inclined elliptic porous enclosure with localized heating, Heat Transfer-Asian Research, Vol. 46, pp. 261-293.
Ahmed S., Hussein A. K., Mohammed H., and Sivasankaran S., (2014): Boundary layer flow and heat transfer due to permeable stretching tube in the presence of heat source/sink utilizing nanofluids, Applied Mathematics and Computation, Vol. 238, pp. 149-162.
Ahmed S., Hussein A. K., Mohammed H., Adegun I., Zhang X., Kolsi L., Hasanpour A., and Sivasankaran S., (2014): Viscous dissipation and radiation effects on MHD natural convection in a square enclosure filled with a porous medium, Nuclear Engineering and Design, Vol. 266, pp. 34-42.
A. C. Eringen, “Theory of micropolar fluids,” J. Math. Mech., vol. 16, pp. 1–16, 1966.
S. Reddy and A. J. Chamkha, “Heat and mass transfer characteristics of MHD three-dimensional flow over a stretching sheet filled with water-based alumina nanofluid”, In. J. Numer. Methods Heat and Fluid Flow, January 2018.
Norfarahanim Mohd Ariffin, Norihan Md. Arifin, and Norfifah Bachok, “Marangoni boundary layer flow in micropolar fluid with suction/injection”, AIP Conference Proceedings, Vol. 1795, 2017.
Siva Reddy Sheri and Shamshuddin Md., “Heat and mass transfer on the MHD flow of micropolar fluid in the presence of viscous dissipation and chemical reaction”, Procedia Engineering, Vol. 127, pp. 885 – 892, 2015
M. Ali, M. A. Alam and M. A. Alim, MHD free convection heat and mass transfer flow through a porous medium in a rotating system with hall current and heat generation, IEEE Xplore Digital Library, pp. 404 – 408, 2014.
A. A. Mostafa Mahmoud, Shimaa Waheed, “MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation and slip velocity”, Journal of the Egyptian Mathematical Society, Vol. 20, pp. 20–27, 2012.
Ishak A., Nazar R., and Pop I., “Magnetohydrodynamic (MHD) flow of a micropolar fluid towards a stagnation point on a vertical surface,” Comput. Math. Appl., vol. 56, pp. 3188-3194, 2008.
Das K., “Influence of thermophoresis and chemical reaction on MHD micropolar fluid flow with variable fluid properties,” Int. J. Heat Mass Transfer, vol. 55, pp. 7166–7174, 2012.
Bhattacharyya, Mukhopadhyay S., Layek G. C. and Pop I., “Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet,” Int. J. Heat Mass Transfer, vol. 55, pp. 2945–2952, 2012.
Redha A., Bouaziz M. N. and Hanini S., “Numerical study of micropolar fluid flow heat and mass transfer over vertical plate: effects of thermal radiation,” Sci. Tech., Vol. 41, pp. 15-22, 2015.
Mohanty, B., Mishra, S. R. and Pattanayak, H. B., “Numerical investigation on heat and mass transfer effect of micropolar fluid over a stretching sheet through porous media,” Alexandria Eng. J., vol. 54, pp. 223–232, 2015.
Sudarsan R., and Chamkha, A. J., “Soret and Dufour effects on MHD heat and mass transfer flow of a micropolar fluid with thermophoresis particle deposition,” J. Naval Arch. Marine Eng., vol. 13, pp. 39-50, 2016.
Siva Gopal S. and Siva P., “Unsteady hydromagnetic heat and mass transfer flow of a micropolar fluid past a stretching sheet with Thermo-Diffusion and Diffusion-Thermo effects,” Int. J. Comput. Appl., Vol. 7, pp. 81-97, 2017.
G. S. Guram and A. C. Smith, Stagnation Flows of Micropolar Fluids with Strong and Weak Interactions, Computers and Mathematics in Applications Vol. 6, pp. 213-233 1980.
Open Science Scholarly Journals
Open Science is a peer-reviewed platform, the journals of which cover a wide range of academic disciplines and serve the world's research and scholarly communities. Upon acceptance, Open Science Journals will be immediately and permanently free for everyone to read and download.
Office Address:
228 Park Ave., S#45956, New York, NY 10003
Phone: +(001)(347)535 0661
Copyright © 2013-, Open Science Publishers - All Rights Reserved