Current issue
Archive
About the Journal
About
Editorial Board
Abstract & Indexing
Contact
Editorial Policies
Authorship & COI
Ethical principles
Principles of Transparent Checklist
Open access
For Authors
Instructions to Authors
Detailing Guidelines for Authors
Review process
Review sheet
How to submit
Open Access license
ORIGINAL PAPER
An Oscillatory Radiating Hydromagnetic Internal Heat Generating Fluid Flow Through a Vertcal Porous Channel with Slip and Temperature Jump
1
Department of Mathematics, University of Ilorin, Nigeria
Online publication date: 2018-06-04
Publication date: 2018-05-01
International Journal of Applied Mechanics and Engineering 2018;23(2):503-519
KEYWORDS
ABSTRACT
The present study concerns the natural convective heat generating/absorbing, radiative magnetohydrodynamic, oscillatory fluid flow through a vertical porous channel with slip and temperature jump. The effect of Joule dissipation is taken into consideration while it is assumed that the flow is fully developed. The differential transforms method(DTM) is employed to solve the system of non-linear ordinary differential equations that is obtained from the non-linear partial differential equations governing the flow. Semi analytical solutions of the steady and unsteady part of the flow in the slip flow regime through a vertical porous channel are obtained. The effects of various flow parameters on the velocity and temperature profiles as well as Nusselt and skin friction are presented graphically and discussed. An excellent agreement between the results of this article and those available in the literature validated the presented approach.
REFERENCES (29)
1.
Ramana M.V., Murthy G, Noushima Humera, Rafi'uddin and M. Chenna Krishna Reddy (2007): Unsteady free convective Walter’s memory flow with constant suction and heat sink. – J. Eng. Appl. Sci., vol.2, No.5, pp.12-16.
2.
Das U.N., Deka R.K. and Soundalgekar V.M. (1999): Transient free convection flow past an infinite vertical plate with periodic temperature variation. – J. Heat Transf., vol.121, No.4, pp.1091-1094.
3.
Rashidi M.M. and N. Freidooni Mehr (2012): Effect of velocity slip and temperature jump on the entropy generation in magnetohydrodynamic flow over a porous rotating disk. – J. Journal of Mechanical Engineering, vol.1, No.3, ISSN 2165-8145.
4.
Mehmood A. and Ali A. (2007): The effect of slip condition on unsteady MHD oscillatory flow of a viscous fluid in a planer channel. – J. Rom. Phys., vol.52, No.1-2, pp.85-91.
5.
Adesanya S.O. (2014): Free convective flow of heat generating fluid through a porous vertical channel with velocity slip and temperature jump. – J. Ain Shams Eng., vol.10, pp.10-16.
6.
Hooman K. (2009): Scaling effects for flows in micro-channels: variable property, viscous heating, velocity slip and temperature jump. – Int. Commun. Heat Mass Transfer, vol.36, No.2, pp.192-196.
7.
Abo-Eldahab E.M. (2004): The effects of temperature-dependent fluid properties on free convective flow along a semi-infinite vertical plate by the presence of radiation. – J. Heat and Mass Transfer, vol.41, pp.163-169.
8.
Wang C.Y. (2009): Analysis of viscous flow due to a stretching sheet with surface slip and suction. – J. Nonlinear Anal., vol.10, No.1, pp.375-380.
9.
Zhu J., Lian-cun Zheng and Zhi-gang Zhang (2010): Effect of slip condition on MHD stagnation-point flow over a power-law stretching sheet. – J. Appl. Math. Mech., vol.31, No.4, pp.439-448.
10.
Matthews M.T. and Hill J.M. (2007): Nano boundary layer equation with nonlinear Navier boundary condition: J. – Journal of Math. Anal. Appl., vol.333, No.1, pp.381-400.
11.
Renksizbulut M.G. et al. (2006): Slip-flow and heat transfer in rectangular micro channels with constant wall temperature. – J. Int. J. Therm. Sci., vol.45, No.9, pp.870-881.
12.
Jha B.K. (2001): Transient free-convective flow in a vertical channel with heat sinks. – J. Int. J. Appl. Mech. Eng., vol.6, No.2, pp.279-286.
13.
Ostrach S. (1954): Combined natural and forced-convection flow and heat transfer of fluids with and without heat sources in channels with linearly varying wall temperatures. – NACA TN, 3141.
14.
Inman R.M. (1962): Experimental study of temperature distribution in laminar tube flow of a fluid with internal heat generation. – J. Int. J. Heat Mass Transfer, vol.5, No.11, pp.1053-1058.
15.
Kumar R. (2012): Influence of slip and jump boundary conditions on MHD oscillatory flow of radiating fluid through a vertical porous channel. – J. Journal of Chemical Biological and Physical Sciences, vol.2, No.2, pp.955-961.
16.
Gbadeyan J.A. and Dada M.S. (2013): On the influence of radiation and heat transfer on an unsteady MHD non Newtonian fluid flow with slip in a porous medium. – J. International Journal of Mathematics Research, vol.5, No.3, pp.40-50.
17.
Hayat T., Abbas Z., Pop I. and Asghar S. (2010): Effect of radiation and magnetic field on the mixed convection stagnation point flow over a vertical stretching sheet in a porous medium. – J. International Journal of Heat and Mass Transfer, vol.5, No.3, pp.466-474.
18.
Ostrich S. (1952): Laminar natural convection flow and heat transfer of fluids with and without heat sources in channels with constant wall temperatures. – NACA TN, pp.2863.
19.
Crepeau J.C. and Clarksean R. (1997): Similarity solutions of natural convection with internal heat generation. – J.J. Heat Transfer, vol.119, No.1, pp.183-185.
20.
Delichatsios M.A. Air entrainment into buoyant jet flames and pool fires, in: P.J.
21.
McKenzie D.P. (1974): Convection in the Earth’s mantle towards a numerical simulation. – J. Fluid Mech., vol.62, No.3, pp.465-538.
22.
Jha B.K. and Ajibade A.O. (2009): Free convective flow of heat generating/absorbing fluid between vertical porous plates with periodic heat input. – J. Int. Commun. Heat Mass Transfer, vol.36, No.6, pp.624-631.
23.
Jha B.K. and Ajibade A.O. (2010): Free convective flow between vertical porous plates with periodic heat input. – J. Journal of Apply Mathematics and Mechanics, vol.90, No.3, pp.185-193.
24.
Chen S. (2010): Lattice Boltzmann method for slip flow heat transfer in circular micro tubes extended Graetz problem. – J. Appl. Math. Comput., vol.217, No.7, pp.3314-20.
25.
Aziz A. (2010): Hydrodynamic and thermal slip flow boundary layers over a flat plate with constant heat flux boundary condition. – J. Commun. Nonlinear. Sci. Numer. Simulat., vol.15, No.3, pp.5735-80.
26.
Haddad O.M. (2007): Developing free convection gas flow in a vertical open-ended micro-channel filled with a porous media. – J. Transp Porous Media, vol.67, No.3, pp.453-471.
27.
Haddad O.M., Abuzaid M.M. and Al-Nimr M.A. (2005): Developing free convection gas flow in a vertical openended micro-channel filled with a porous media. – J. Numer. Heat Transfer Part A, vol.48, No.7, pp.693-710.
28.
Sutton G.W. and Sherman A. (1965): Engineering Magnetohydrodynamics. – New York: Mc. Graw-Hill.
29.
Kaya M.O. (2007): Flexural torsional coupled vibration analysis of axially loaded closed section composite Timoshenko beam by using DTM. – Journal of Sound and Vibration, vol.306, No.5, pp.495-506.
Share
RELATED ARTICLE
| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
Task: edition of a scientific journal, its internationalization and ensuring open access to the journal via the Internet
© 2006-2024 Journal hosting platform by Bentus
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
