Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-28T20:10:51.042Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical Investigation of Slip Effects on Hydromagnetic Flow Due to a Rotating Porous Disk in a Nanofluid with Internal Heat Absorption

Published online by Cambridge University Press:  24 January 2017

S. P. Anjali Devi  and
T. Elakkiya Priya
S. P. Anjali Devi
Affiliation:
Department of Applied MathematicsBharathiar UniversityTamil Nadu, India
T. Elakkiya Priya*
Affiliation:
Department of Applied MathematicsBharathiar UniversityTamil Nadu, India
*
*Corresponding author ([email protected])
Get access

Abstract

In recent days, nanofluids have derived the attention of researchers, scientists and engineers due to their abundant applications in Engineering and technology and specific applications such as Electronics cooling, vehicle cooling, medical applications including cancer therapy and so on. Motivated by these applications of nanofluids, this work is mainly concerned with the convective heat transfer of nanofluids. MHD slip flow of nanofluids with heat absorption over a rotating disk subjected to suction has been analyzed. Two types of nanofluids such as copper-water nanofluid and silver-water nanofluid are considered for the present study. The system of axisymmetric nonlinear partial differential equations governing the hydromagnetic steady flow and heat transfer are reduced to nonlinear ordinary differential equations by introducing suitable similarity transformations. The resulting non-linear ordinary differential equations are solved numerically by most efficient Nachtsheim-Swigert shooting iteration technique for satisfaction of asymptotic boundary conditions along with Runge – Kutta Fehlberg Method. The flow field is affected by the presence of physical parameters, such as magnetic interaction parameter, suction parameter, slip parameter and solid volume fraction, whereas the temperature field is addionally affected by magnetic interaction parameter, suction parameter, internal heat absorption parameter and solid volume fraction. With the amplifying effect in magnetic interaction parameter, suction parameter, slip parameter and solid volume fraction, the radial and tangential velocities decline. Axial velocity gets decelerated for increasing magnetic interaction parameter and slip parameter whereas it gets accelerated for growing effect of suction parameter and solid volume fraction. The temperature of the fluid within the boundary layer enhances with the increasing effect of magnetic interaction parameter and solid volume fraction while it reduces for increasing values of the suction parameter and internal heat absorption parameter. Also the values of radial and tangential skin friction coefficients and Nusselt number are obtained numerically and are tabulated.

Keywords

MHDNanofluidRotating diskSlipInternal heat absorption
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 3 , June 2017 , pp. 375 - 386
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Das, S. K., Choi, S. U. S., Yu, W. and Pradeep, T., “Nanofluids: Science and Technology,” Wiley, New Jersey (2007).CrossRefGoogle Scholar
2. Owen, J. M. and Rogers, R. H., Flow and Heat Transfer in Rotating Disc, Vol. 1: Rotor-Stator Systems, Research studies press (1989).Google Scholar
3. Von Karman, T., “Uber Laminare und Turbu1ente Reibung,” ZAMM, 1, pp. 233–235 (1921).CrossRefGoogle Scholar
4. Benton, E. R., “On the Flow Due to a Rotating Disk,” Journal of Fluid Mechanics, 24, pp. 781–800 (1966).Google Scholar
5. Kuiken, H. K., “The Effect of Normal Blowing on the Flow near a Rotating Disk of Infinite Extent,” Journal of Fluid Mechanics, 47, pp. 789–798 (1971).CrossRefGoogle Scholar
6. Ockendon, H., “An Asymptotic Solution for Steady Flow above an Infinite Rotating Disk with Suction,” Quarterly Journal of Fluid Mechanics and Applied Mathematics, 25, pp. 291–301 (1972).CrossRefGoogle Scholar
7. Kohama, Y., “Study on boundary layer transition of a rotating-disk,” Acta Mechanica, 50, pp. 193–199 (1984).CrossRefGoogle Scholar
8. Lingwood, R. J., “Absolute instability of the boundary layer on a rotating-disk,” Journal of Fluid Mechanics, 299, pp. 17–33 (1995).Google Scholar
9. Hossain, A., Akter, H. and Mike, W., “Unsteady flow of viscous incompressible fluid with temperature-dependent viscosity due to a rotating disc in presence of transverse magnetic field and heat transfer,” International Journal of Thermal Sciences, 40, pp. 11–20 (2001).Google Scholar
10. Takhar, H. S., Singh, A. K. and Nath, G., “Unsteady MHD flow and heat transfer on a rotating disk in an ambient fluid,” International Journal of Thermal Sciences, 41, pp. 147–155 (2002).CrossRefGoogle Scholar
11. Maleque, K. A. and Sattar, M. A., “The effects of variable properties and Hall current on steady MHD compressible laminar convective fluid flow due to a porous rotating disc,” International Journal of Heat and Mass Transfer, 48, pp. 4963–4972 (2005).CrossRefGoogle Scholar
12. Jasmine, H. A. and Gajjar, J. S. B., “Convective and absolute instability in the incompressible boundary layer on a rotating disk in the presence of a uniform magnetic field,” Journal of Engineering Mathematics, 52, pp. 337–353 (2005).Google Scholar
13. Arikoglu, A. and Ozkol, I., “On the MHD and slip flow over a rotating disk with heat transfer,” International Journal of Numerical Methods for Heat and Fluid Flow, 28, pp. 172–184 (2006).CrossRefGoogle Scholar
14. Frusteri, F. and Osalusi, E., “On MHD and slip flow over a rotating porous disk with variable properties,” International Communications in Heat and Mass Transfer, 34, pp. 492–501 (2007).CrossRefGoogle Scholar
15. Osalusi, E., Side, J. and Harris, R., “Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer of a steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating,” International Communications in Heat and Mass Transfer, 35, pp. 908–915 (2008).CrossRefGoogle Scholar
16. Anjali Devi, S. P. and Uma Devi, R., “Soret and Dufour effects on MHD slip flow with thermal radiation over a porous rotating infinite disk,” Communications in Nonlinear Science and Numerical Simulation, 16, pp. 1917–1930 (2011).CrossRefGoogle Scholar
17. Choi, S. U. S. and Eastman, J. A., “Enhancing thermal conductivity of fluids with nanoparticles,” ASME International Mechanical Engineering Congress & Exposition, San Francisco (1995).Google Scholar
18. Tiwari, R. K. and Das, M. K., “Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids,” International Journal of Heat and Mass Transfer, 50, pp. 2002–2018 (2007).CrossRefGoogle Scholar
19. Abu-Nada, E., “Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step,” International Journal of Heat and Fluid Flow, 29, pp. 242–249 (2008).Google Scholar
20. Congedo, P. M. and Collura, S., “Modeling and analysis of natural convection heat transfer in nanofluids,” Proceedings of ASME Summer Heat Transfer Conference, 3, pp. 569–579 (2009).Google Scholar
21. Kuznetsov, A. V. and Nield, D. A., “Natural convective boundary layer flow of a nanofluid past a vertical plate,” International Journal of Thermal Science, 49, pp. 243–247 (2010).CrossRefGoogle Scholar
22. Anjali Devi, S. P. and Julie, A., “Laminar boundary layer flow of nanofluid over a flat plate,” International Journal of Applied Mathematics and Mechanics, 7, pp. 52–71 (2011).Google Scholar
23. Vajravelu, K. and Prasad, K. V., “Heat Transfer Phenomena in a Moving Nanofluid Over a Horizontal Surface,” Journal of Mechanics, 28, pp. 579–588 (2012).CrossRefGoogle Scholar
24. Noghrehabadi, A., Ghalambaz, M. and Ghanbarzadeh, A., “Effects of Variable Viscosity and Thermal conductivity on Natural-Convection of Nanofluids Past a Vertical Plate in Porous Media,” Journal of Mechanics, 30, pp. 265–275 (2014).CrossRefGoogle Scholar
25. Bianco, V., Manca, O., Nardini, S. and Vafai, K., “Heat Transfer Enhancement with Nanofluids,” CRC Press, Boca Raton (2015).Google Scholar
26. Wubshet, I. and Bandari, S., “MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions,” Computers and Fluids, 75, pp. 1–10 (2013).Google Scholar
27. Rashidi, M. M., Abelman, S. and Freidoonimehr, N., “Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid,” International Journal of Heat and Mass Transfer, 62, pp. 515–525 (2013).Google Scholar
28. Mustafa, T., “Nanofluid flow and heat transfer due to a rotating disk,” Computers and Fluids, 94, pp. 139–146 (2014).Google Scholar
29. Sheikholeslami, M., Hatami, M. and Ganji, D. D., “Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field,” Journal of Molecular Liquids, 190, pp. 112–120 (2014).Google Scholar
30. Malvandi, A., Hedayati, F. and Ganji, D. D., “Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet,” Power Technology, 253, pp. 377–384 (2014).CrossRefGoogle Scholar
31. Anjali Devi, S. P. and Elakkiya Priya, T., “MHD Slip Flow and Convective Heat Transfer of Nanofluids over a Permeable Stretching Surface,” International Journal of Science and Research, 4, pp. 138–147 (2015).Google Scholar
32. Tasawar, H., Madiha, R., Maria, I. and Ahmed, A., “Magnetohydrodynamic flow of Cu-water nanofluid due to a rotating disk with partial slip,” AIP Advances, 5, 067169 (2015).Google Scholar
33. Faroogh, G., Bagheri, G. H. and Rashidi, M. M., “Two phase simulation of natural convection and mixed convection of the nanofluid in a square cavity,” Powder Technology, 275, pp. 239–256 (2015).Google Scholar
34. Faroogh, G., Behzad, R. and Rashidi, M. M., “Two phase mixture modeling of mixed convection of nanofluids in a square cavity with internal and external heating,” Powder Technology, 275, pp. 304–321 (2015).Google Scholar
35. Rashidi, M. M., Nasiri, M., Marzieh, K. and Najib, L., “Numerical Investigation of magnetic field effect on mixed convection heat transfer of nanofluid in a channel with sinusoidal walls,” Journal of Magnetism and Magnetic Materials, 93, pp. 674–682 (2016).Google Scholar