Analysis of Flow of an Incompressible MHD Third Grade Fluid In An Inclined Rotating Cylindrical Pipes with Isothermal Wall and Joule Heating
DOI:
https://doi.org/10.53555/ms.v7i6.1594Keywords:
Incompressible MHD, isothermal wall, Joule heating.Abstract
In this paper, we considered the analysis of flow of an incompressible MHD third grade fluid in an inclined rotating cylindrical pipes with isothermal wall and Joule heating. The governing equations of the flow field are solved using perturbation method. Results show that the Eckert and the Grashhof parameters reduce the velocity of the fluid flow, while the magnetic field parameter, the Grashhof number, the Eckert number and the third grade parameter increase the temperature of the system. . It is further discovered that the temperature profiles converges to zero at the point where ,which shows that isothermal nature of the outer cylinder.
Downloads
References
Aiyesimi, Y.M., Okedayo, G.T., and Lawal,O.W. (2014).Effects of magnetic field of the MHD flow of a third grade fluid through inclined channel with Ohmic heating. Journal of Applied and computational Mathematics. .
Ayub, M., Rasheed, A., and Hayat, T.(2003): Exact flow of a third –grade fluid past a porous plate using homotopy analysis method. Int. J. Eng. Sci. 41(2091).
Baldoni, F., Gudhe, R. and Yaleswarapu, K.K. (1993): Helical flow of a simple fluid between eccentric cylinders. Int. J. Non-linear Mech. 28, 221-235.
Erickson, J.L. (1956): Over-determination of the speed in rectilinear motion of non- Newtonian fluid. Q. Appl. Math.14, 318-321.
Feiz-Dizali, A., Salimpour, M.R. and Jam, F. (2007). Flow field of a third grade non- Newtonian fluid in the annulus of rotating concentric cylinders in the presence of magnetic field. Elsevier03/110.
Fosdick R.L. and Rajagopal, K.R. (1980): Thermodynamics and stability of fluids of third grade. Proc. R. Soc. Lond. 339, 351-377.
Fosdick, R.L. and Kao, B.G. (1978). Tranverse deformations associated with rectilinear shear in elastic solid. J. Elasticity, 8, 117-142.magnetic field. Elsevier03/110.
Hayat, T., Nadeem, S., Asghar, S. and Siddiqui, A.M. (2001): MHD rotating flow of third grade fluid on an oscillating porous plate. Acta Mechanica 152, Issue1-4, 177- 190.
Makinde, O.D.(2005): Strong exothermic explosions in a cylindrical pipe: Acase study of series summation technique. Mech. Res. Common ., 32, 191-195.
Makinde, O.D. (2007): Thermal stability of a reactive third grade fluid in a cylindrical: Hermite-Pade approximation technique. Elsevier Science Direct. Applied Mathematics and Computation, 189,S 690-697.
Massoudi, M. and Christie, I. (1995): Effects of variable viscosity and viscous dissipation on the flow of a third –grade flu An exploitation id in a pipe. Int. J. of Nonlinear Mech., 30(5): 687-699.
Massoudi, M., Vaidya, A. and Wulandana, R. (2008): Natural convection flow of ageneralized second grade fluid between two vertical walls. Nonlinear Analysis. Real World Applications 9, 89-93
Obi, B.I., Okedayo G.T., Jiya, M. Aiyesimi, Y.M. (2017). Annular flow of an incompressible MHD third grade fluid in a rotating concentric cylinders with isothermal walls and Joule heating. NJTR. 12(2):34-42.
Rajagopal, K.R. (1980): On the stability of third grade fluids. Arch. Mech. 32, 867-875.
Rajagopal, K.R. (1993): Mechanics of non-Newtonian fluids in G.P. Galdi. J. Necas(Eds). Recent Development in Theoretical Fluid Mechanics, Pitman Research Notes in Mathematical Series, 291, Longman Scientific and Technical, New York.
Rajagopal, K.R., Szeri, A.Z. and Troy, W. (1986). An existence theorem for the flow of non-Newtonian fluid past an infinite porous plate. Int. J. Non-linear Mech. 21, 279-289.
Rajagopal, K.R. and Mollica, F. (1999). Secondary deformation due to axial shearing of annular region between two eccentrically placed cylinders. Int. J. Engng. Sci 37, 411-429
Szeri, A.Z. and Rajagopal, K.R.(1998). Flow of a non-Newtonian fluid between heated parallel plates. Int. J. of inear Mech. 20(2): 91-101.
Yurusoy, M. and Pakdemirli,M. (2002). Approximate analytical solution for the flow of a third-grade fluid in a pipe. Int. J. of inear Mech.,37:187-195.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 International Journal For Research In Mathematics And Statistics (ISSN: 2208-2662)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In consideration of the journal, Green Publication taking action in reviewing and editing our manuscript, the authors undersigned hereby transfer, assign, or otherwise convey all copyright ownership to the Editorial Office of the Green Publication in the event that such work is published in the journal. Such conveyance covers any product that may derive from the published journal, whether print or electronic. Green Publication shall have the right to register copyright to the Article in its name as claimant, whether separately
or as part of the journal issue or other medium in which the Article is included.
By signing this Agreement, the author(s), and in the case of a Work Made For Hire, the employer, jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere, and is not being considered for publication elsewhere in any form, except as provided herein. Each author’s signature should appear below. The signing author(s) (and, in