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ORIGINAL PAPER
Periodic Flow of a Second Grade Fluid Due to the Disks Executing Non-Torsional Oscillations in an Orthogonal Rheometer Under the Influence of a Magnetic Field
1
Department of Mechanical Engineering, Yildiz Technical University, 34349, Istanbul, Turkey
Online publication date: 2021-08-26
Publication date: 2021-09-01
International Journal of Applied Mechanics and Engineering 2021;26(3):62-71
KEYWORDS
ABSTRACT
The present paper studies the periodic flow of a second grade fluid generated by non-torsional oscillations of the disks rotating in the eccentric form under the application of a magnetic field. Subsequent to the rotational motion of the disks at a common angular velocity about two vertical axes, they perform oscillations horizontally in a symmetrical manner. The exact analytical solutions are derived for both the velocity field and the tangential force per unit area exerted on one of the disks by the fluid. Special attention is paid to the influence of the applied magnetic field and it is investigated how the magnetic field controls the flow when the frequency of oscillation is less than or equal to or greater than the angular velocity of the disks. It is found that the application of the magnetic field leads to thinner boundary layers developed on the disks and the changes in the values of the shear stress components which represent the tangential force exerted on the disks occur at larger amplitude.
REFERENCES (19)
1.
Maxwell B. and Chartoff R.P. (1965): Studies of a polymer melt in an orthogonal rheometer.– Transactions of the Society of Rheology, vol.9, No.1, pp.41-52.
2.
Abbott T.N.G. and Walters K. (1970): Rheometrical flow systems - part 2: Theory for the orthogonal rheometer, including an exact solution of the Navier-Stokes equations.– Journal of Fluid Mechanics, vol.40, No.1, pp.205-213.
3.
Rajagopal K.R. and Gupta A.S. (1981): Flow and stability of a second grade fluid between two parallel plates rotating about noncoincident axes.– International Journal of Engineering Science, vol.19, No.11, pp.1401-1409.
4.
Rajagopal K.R. (1982): On the flow of a simple fluid in an orthogonal rheometer.– Archive for Rational Mechanics and Analysis, vol.79, No.1, pp.39-47.
5.
Rao A.R. and Rao P.R. (1985): MHD flow of a second grade fluid in an orthogonal rheometer.– International Journal of Engineering Science, vol.23, No.12, pp.1387-1395.
6.
Rajagopal K.R. (1992): Flow of viscoelastic fluids between rotating disks.– Theoretical and Computational Fluid Dynamics, vol.3, No.4, pp.185-206.
7.
Srinivasa A.R. (2000): Flow characteristics of a multiconfigurational, shear thinning viscoelastic fluid with particular reference to the orthogonal rheometer.– Theoretical and Computational Fluid Dynamics, vol.13, No.5, pp.305-325.
8.
Siddiqui A.M., Rana M.A. and Ahmed N. (2010): Magnetohydrodynamics flow of a Burgers’ fluid in an orthogonal rheometer.– Applied Mathematical Modelling, vol.34, No.10, pp.2881-2892.
9.
Erdoğan M.E. (1999): Flow due to parallel disks rotating about non-coincident axis with one of them oscillating in its plane.– International Journal of Non-Linear Mechanics, vol.34, No.6, pp.1019-1030.
10.
Erdoğan M.E. (2000): Unsteady flow between two eccentric rotating disks executing nontorsional oscillations.– International Journal of Non-Linear Mechanics, vol.35, No.4, pp.691-699.
11.
Ersoy H.V. (2012): Unsteady flow produced by oscillations of eccentric rotating disks.– Mathematical Problems in Engineering, Article ID 734784, pp.1-14.
12.
Giri A., Das S. and Jana R.N. (2014): Unsteady hydromagnetic flow due to oscillations of eccentric rotating disks.– Journal of Nature Science and Sustainable Technology, vol.8, No.2, pp.237-258.
13.
Ersoy H.V. (2015): Periodic flow due to oscillations of eccentric rotating porous disks.– Advances in Mechanical Engineering, Article ID 1687814015599727, pp.1-8.
14.
Ersoy H.V. (2017): Periodic flow due to non-torsional oscillations of eccentric rotating porous disks in the presence of a magnetic field.– Mechanika, vol.23, No.3, pp.397-401.
15.
Ersoy H.V. (2018): Periodic flow of a second-grade fluid induced by non-torsional oscillations of eccentric rotating disks.– Sadhana - Academy Proceedings in Engineering Sciences, vol.43, Article No.36, pp.1-8.
16.
Rivlin R.S. and Ericksen J. L. (1955): Stress-deformation relations for isotropic materials.– Journal of Rational Mechanics and Analysis, vol.4, pp.323-425.
17.
Dunn J.E. and Fosdick R.L. (1974): Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade.– Archive for Rational Mechanics and Analysis, vol.56, No.3, pp.191-252.
18.
Dunn J.E. and Rajagopal K.R. (1995): Fluids of differential type: Critical review and thermodynamic analysis.– International Journal of Engineering Science, vol.33, No.5, pp.689-729.
19.
Fosdick R.L. and Rajagopal K.R. (1979): Anomalous features in the model of second order fluids.– Archive for Rational Mechanics and Analysis, vol.70, No.2, pp.145-152.
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