Periodic Solution of A MHD Mixed Convention Flow and Heat Transfer Through Porous Medium
Keywords:
MHD, Visco-elastic, Porous Medium.Abstract
The flow through porous boundaries has many applications in science and technology such as water waves over a shallow beach, mechanics of the cochlea in the human ear, aerodynamic heating, flow of blood in the arteries, and petroleum industry. Several authors have studied theoretically the laminar flow in porous channels. Berman [1] considered the viscous fluid and analyzed the flow characteristics when it passed through the porous walls. Later the same problem for different permeability was studied by Terril and Shrestha [2]. The theory of micropolar fluids was introduced by Eringen [3] which are considered as an extension of generalized viscous fluids with microstructure. Examples for micropolar fluids include lubricants, colloidal suspensions, porous rocks, aerogels, polymer blends, and microemulsions. The same Berman problem with micropolar fluid was discussed by Sastry and Rama Mohan Rao [4]. The flow and heat transfer of micropolar fluid between two porous parallel plates was analyzed by Ojjela and Naresh Kumar [5]. Srinivasacharya et al. [6] obtained an analytical solution for the unsteady Stokes flow of micropolar fluid between two parallel plates. The effect of buoyancy parameter on flow and heat transfer of micropolar fluid between two vertical parallel plates was investigated by Maiti [7].
References
- Clusius, K. and Waldmann, L. (1942). Naturwissenschaften 30, 711.
- A. S. Berman, "Laminar flow in channels with porous walls," Journal of Applied Physics, vol. 24, pp. 1232-1235, 1953.
- R. M. Terril and G. M. Shrestha, "Laminar flow through parallel and uniformly porous walls of different permeability," Zeitschrift fur Angewandte Mathematik und Physik, vol. 16, pp. 470-482, 1965.
- A. C. Eringen, "Theory of micropolar fluids," Journal of Mathematics and Mechanics, vol. 16, pp. 1-18, 1966.
- V. U. K. Sastry and V. Rama Mohan Rao, "Numerical solution of micropolar fluid flow in a channel with porous walls," International Journal of Engineering Science, vol. 20, no. 5, pp. 631-642, 1982.
- O. Ojjela and N. Naresh Kumar, "Unsteady MHD flow and heat transfer of micropolar fluid in a porous medium between parallel plates," Canadian Journal of Physics, vol. 93, no. 8, pp. 880-887, 2015.
- D. Srinivasacharya, J. V. Ramana Murthy, and D. Venugopalam, "Unsteady stokes flow of micropolar fluid between two parallel porous plates," International Journal of Engineering Science, vol. 39, no. 14, pp. 1557-1563, 2001.
- G. Maiti, "Convective heat transfer in micropolar fluid flow through a horizontal parallel plate channel," ZAMM--Journal of Applied Mathematics and Mechanics, vol. 55, no. 2, pp. 105-111, 1975.
- R. Bhargava, L. Kumar, and H. S. Takhar, "Numerical solution of free convection MHD micropolar fluid flow between two parallel porous vertical plates," International Journal of Engineering Science, vol. 41, no. 2, pp. 123-136, 2003.
- M. Ashraf and A. R. Wehgal, "MHD flow and heat transfer of micropolar fluid between two porous disks," Applied Mathematics and Mechanics, vol. 33, no. 1, pp. 51-64, 2012.
- A. Islam, Md. H. A. Biswas, Md. R. Islam, and S. M. Mohiuddin, "MHD micropolar fluid flow through vertical porous medium," Academic Research International, vol. 1, no. 3, pp. 381-393, 2011.
- S. Nadeem, M. Hussain, and M. Naz, "MHD stagnation flow of a micropolar fluid through a porous medium," Meccanica, vol. 45, no. 6, pp. 869-880, 2010.
- O. Ojjela and N. Naresh Kumar, "Unsteady heat and mass transfer of chemically reacting micropolar fluid in a porous channel with hall and ion slip currents," International Scholarly Research Notices, vol. 2014, Article ID 646957, 11 pages, 2014.
- N. S. Elgazery, "The effects of chemical reaction, Hall and ion-slip currents on MHD flow with temperature dependent viscosity and thermal diffusivity," Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 4, pp. 1267-1283, 2009.
- M. S. Ayano, "Mixed convection flow micropolar fluid over a vertical plate subject to hall and ion-slip currents," International Journal of Engineering & Applied Sciences, vol. 5, no. 3, pp. 38-52, 2013.
Downloads
Published
Issue
Section
License
Copyright (c) IJSRST

This work is licensed under a Creative Commons Attribution 4.0 International License.