Buongiorno Model with Revised Boundary Conditions for Hydromagnetic Forced Convective Nanofluid Flow past a Rotating Porous Disk

T.Elakkiyapriya; S.P.Anjali Devi

doi:https://doi.org/10.14445/22315373/IJMTT-V55P527

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 3 | Year 2018 | Article Id. IJMTT-V55P527 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P527

Buongiorno Model with Revised Boundary Conditions for Hydromagnetic Forced Convective Nanofluid Flow past a Rotating Porous Disk

T.Elakkiyapriya, S.P.Anjali Devi

Citation :

T.Elakkiyapriya, S.P.Anjali Devi, "Buongiorno Model with Revised Boundary Conditions for Hydromagnetic Forced Convective Nanofluid Flow past a Rotating Porous Disk," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 3, pp. 212-222, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P527

Abstract

An analysis has been carried out to investigate the effects of thermophoresis and Brownian motion on hydromagnetic flow of a viscous, incompressible, electrically conducting nanofluid over a rotating porous disk. Two types of nanofluids such as copper-water nanofluid and silver-water nanofluid are considered. Governing equations of the problem are transformed into set of non-linear ordinary differential equations utilizing similarity transformations. The resulting non-linear differential equations are solved numerically by utilizing Nachtsheim-Swigert shooting scheme for satisfaction of asymptotic boundary conditions along with Runge - Kutta Fehlberg Method. The effects of different parameters on the velocity as well as on temperature are depicted graphically. Numerical values of radial and tangential skin friction coefficients and the nondimensional rate of heat transfer are shown in tabular form.

Keywords

MHD, Nanofluid, Rotating Disk, Forced convection, Suction

References

[1] Von Karman, “Uber laminare und turbulenteReibung,” ZAMM‐Journal of Applied Mathematics and Mechanics, Vol.1(4), pp.233-252, 1921.
[2] W. G. Cochran, “The flow due to a rotating disc,”Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press, vol.30(3), 1934.
[3] R. Benton, “On the flow due to a rotating disk,”Journal of Fluid Mechanics, vol.24(4), pp.781-800, 1966.
[4] H. K. Kuiken, “The effect of normal blowing on the flow near a rotating disk of infinite extent,”Journal of Fluid Mechanics, vol.47(4), pp.789-798, 1971.
[5] S. V. Parter, and K. R. Rajagopal, “Remarks on the Flow between Two Parallel Rotating Plates,” No. Mrc-tsr-2649. Wisconsin univmadison Mathematics research center, 1984.
[6] T. M. A. El-Mistikawy and H. A. Attia, “The rotating disk flow in the presence of strong magnetic field,”Proceedings of the Third International Congress of Fluid Mechanics, vol.3, 1990.
[7] T. M. A. El-Mistikawy, H. A. Attia and A. A. Megahed, “The rotating disk flow in the presence of weak magnetic field,”Proceedings of the Fourth Conference on Theoretical and Applied Mechanics, 1991.
[8] Aboul-Hassan, L. Ahmed, and Hazem Ali Attia, “Flow due to a rotating disk with Hall effect,”Physics LettersA, vol.228(4), pp.286- 290, 1997.
[9] N. Kelson, and Andre Desseaux, “Note on porous rotating disk flow,”ANZIAM Journal, vol.42, pp.837-855, 2000.
[10] Maleque, Kh Abdul, and MdAbdusSattar, “Transient convective flow due to a rotating disc with magnetic field and heat absorption effects,”Journal of Energy, Heat and Mass Transfer, vol.25, pp.279-291, 2003.
[11] Maleque, Kh Abdul, and MdAbdusSattar, “Steady laminar convective flow with variable properties due to a porous rotating disk,”Journal of heat transfer, vol.127(12), pp.1406-1409, 2005.
[12] Attia, Hazem Ali, “Rotating disk flow and heat transfer through a porous medium of a non-Newtonian fluid with suction and injection,”Communications in Nonlinear Science and Numerical Simulation, vol. 13(8), pp. 1571-1580, 2008.
[13] T. Hayat, R. Ellahi and S. Asghar, “Hall effects on unsteady flow due to non-coaxially rotating disk and a fluid at infinity,”Chemical Engineering Communications, vol. 195(8), pp. 958-976, 2008.
[14] S.P. Anjali Devi and R. Uma Devi ,“Soret and Dufour effects on MHD slip flow with thermal radiation over a porous rotating infinite disk, ”Communications in Nonlinear Science and Numerical Simulation, vol. 16(4), pp. 1917-1930, 2011.
[15] M.Turkyilmazoglu, “Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids,”Chemical Engineering Science, vol. 84, pp. 182-187, 2012.
[16] S.U.S. Choi and J.A. Eastman,“Enhancing thermal conductivity of fluids with nanoparticles,” ASME International Mechanical Engineering Congress & Exposition, San Francisco, 1995.
[17] Buongiorno, “Convective transport in nanofluids,”Journal of HeatTransfer, vol. 128(3), pp. 240-250, 2006.
[18] W. A. Khan and I. Pop, “Boundary-layer flow of a nanofluid past a stretching sheet,”International journal of heat and mass transfer, vol. 53(11), pp. 2477-2483, 2010.
[19] Chamkha, Ali, Rama Subba Reddy Gorla and KaustubhGhodeswar, “Non-similar solution for natural convective boundary layer flow over a sphere embedded in a porous medium saturated with a nanofluid,”Transport in Porous Media, vol. 86(1), pp. 13-22, 2011.
[20] Haddad, et al., “Natural convection in nanofluids: are the thermophoresis and Brownian motion effects significant in nanofluid heat transfer enhancement,”International Journal of Thermal Sciences, vol. 57, pp. 152-162, 2012.