Effects of aligned magneticfield and radiation on the flow of ferrofluids over a flat plate with non-uniform heat source/sink

Sandeep N, Raju CSK, Sulochana C, Sugunamma V


DOI: https://doi.org/10.12777/ijse.8.2.151-158

Abstract


In this study we analyzed the influence of radiation and aligned magneticfield on the flow of ferrofluids over a flat plate in presence of non-uniform heat source/sink and slip velocity.  We considered Fe3O4 magnetic nano particles embedded within the two types of base fluids namely water and kerosene. The governing partial differential equations are transformed into nonlinear ordinary differential equations by using similarity transformation and solved numerically using bvp5c Matlab package. The effects of dimensionless quantities on the flow and temperature profiles along with the friction factor and Nusselt number is discussed and presented through graphs and tables. It is found that present results have an excellent agreement with the existed studies under some special assumptions. Results indicate that a raise in the aligned angle enhances the skin friction coefficient and heat transfer rate.


Keywords


MHD; Radiation; Ferrofluids; Non-uniform heat source or sink; Convection.

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References


Abrashev, M.V., Merodiiska, T., Gelev, Ch, Vandenberghe, R.E., Marova-Deneva, I., and Nedkov, I. (2010). Raman spectroscopy investigation of magnetite nano particles in ferrofluids. Journal of Magnetism and Magnetic Materials, 322:1904-1911;

Aminfar, H., Pourfard, M.M., Yousef, N. (2011). A 3D numerical simulation of mixed convection of a magnetic nanofluid in the presence of non-uniform magnetic field in a vertical tube using two phase mixture model. Journal of Magnetism and Magnetic Materials 323:1963-1972;

Aminfar, H., Pourfard, M.M., Ahangar Zonouzi, S. (2013). Numerical study of the ferrofluid flow and heat transfer through a rectangular duct in the presence of a non-uniform transverse magneticfield. Journal of Magnetism and Magnetic Materials, 327:31-42;

Arulmurugan, R, Vaidyanathan, G, Sendhilnathan, S, Jeyadevan, B. (2006). Mn-Zn ferrite nano particles for ferrofluid preparation: study on thermal-magnetic properties. Journal of Magnetism and Magnetic Materials, 298:83-94;

Fatih, S., Oztop, H.F. (2015). Numerical study and pod-based prediction of natural convection in a ferrofluids-filled triangular cavity with generalized neutral networks. Numerical Heat Transfer, Part A 67:1136-1161; DOI:10.1080/10407782.2014.955345.

Felicia, L.J., Philip, J. (2015). Effect of Hydrophilic silica nano particles on the Magneto rheological properties of ferrofluids: a study using opto-magnetorheometer. Langmuir 3:3343-3353; DOI:10.1021/acs.langmuir.5b00103.

Hiegeister, R., Andra, W, Buske, N, Hergt, R, Hilger, I, Richter, U, Kaiser, U. (1999). Application of magnetite ferrofluids for hyperthermia. Journal of Magnetism and Magnetic Materials, 201:420-422;

Jafari, A, Tynjala, T, Mousavi, S.M, Sarkomaa, P. (2008). Simulation of heat transfer in a ferrofluid using computational fluid dynamics technique. Int J Heat and Fluid flow 29:1197-1202;

Jones, E., Pravin Brijgopal, M, Rohan Ravindra, K, Sandeep, N. (2015). Aligned magneticfield, radiation and chemical reaction effects on MHD boundary layer flow over a moving vertical porous plate. Chemical and Process Engineering Research, 31:89-103;

Jothimani, S, Anjali Devi, S.P. (2000). Oblique magnetic field effects over stability in superposed viscous ferrofluids, Journal of Magnetism and Magnetic materials 222:1- 7;

Jue, T.C. (2006). Analysis of combined thermal and magnetic convection ferrofluid flow in a cavity. International Communications in Heat and Mass Transfer, 33:846-852;

Khan, W.A, Khan, Z.H, Haq, R.U. (2015). Flow and heat transfer of ferrofluids over a flat plate with uniform heat flux. The European Physical journal plus, 130 (In Press)

Lajvardi, M, Rad, J.M, Iraj Hadi, Anwar, G., Taghi, D., Fatemeh, Z., Jamshid, S. (2010). Experimental investigation for enhanced ferrofluid heat transfer under magnetic field effect. Journal of Magnetism and Magnetic Materials 322:3508-3513;

Murali, G., Reddy, E.M., and Venkata, N.N.B. (2015). Heat and Mass transfer with free convection MHD flow past a vertical porous plate: Numerical Study, Int. J. Sci. Eng., 8(2), 95-103;

Raju, C.S.K., Jayachandra Babu, M, Sandeep, N, Sugunamma, V., Ramanareddy, J.V. (2015) Radiation and soret effects of MHD nanofluid flow over a moving vertical plate in porous medium. Chemical and Process Engineering Research 30:9-23;

Raju, C.S.K, Sandeep, N, Sulochana, C., Sugunamma, V., Jayachandrababu, M. (2015) Radiation, inclined magnetic field and cross-diffusion effects on flow over a stretching surface. Journal of the Nigerian Mathematical Society (In press)

http://dx.doi.org/10.1016/j.jnnms.2015.02.003.

Rosersweig, R.E. (1985). Ferro hydrodynamics. Cambridge University press, London.

Sabbaghzadeh. (2010). Experimental investigation for enhanced ferrofluid heat transfer under magnetic field effect. Journal of Magnetism and Magnetic Materials 322:3508-3513;

Sandeep, N, Sulochana, C. (2015). Dual solutions of radiative MHD nanofluid flow over an exponentially stretching sheet with heat generation/absorption. Applied Nanoscience, 5: DOI: 10.1007/s13204-015-0420-z.

Sandeep, N, Sugunamma, V, Mohan Krishna, P. (2014). Aligned Magneticfield, Radiation and Rotation Effects on Unsteady Hydro Magnetic Free Convection Flow Past an Impulsively Moving Vertical Plate in a Porous Medium. Int J Eng Mathematics ID 565162, http://dx.doi.org/10.1155/2014/565162.

Sekar, R., Raju, K. (2015). Stability analysis of soret effect on thermophaline convection in dusty ferrofluid saturating a Darcy porous medium. Global Journal of Mathematical Analysis 3(1):37-48;

Seo, J.H, You, B.H, Kwen, S.S, Lee, D.Y, Lee, M.Y. (2015). Thermo physical Characteristics of the ferrofluid in a vertical rectangle. Entropy 17:903-913, doi: 10.3390/e17020903.

Sheikholeslami, M, Bandpy, M.G. (2014). Free convection of ferrofluid in a cavity heated from below in the presence of an external magneticfield. Power Technology 256:490-498;

Sheikholeslami, M, Bandpy, G, Ellahi, R, Hassan, M, Soheli, S. (2014). Effects of MHD on Cu- water nanofluid flow and heat transfer by means of cvfem. Journal of Magnetism and Magnetic Materials, 349: 188-200;

Sulochana, M., Kishore Kumar, M.K, Sandeep, N. (2015). Influence of aligned magneticfiled on the flow through vertical surface in porous medium with heat source. Advances in Physics Theories and Applications 42:33-45;

Xuan, Y., Meng, Ye, Qiang, Li. (2005). Mesoscale simulation of ferrofluid structure. International Journal of Heat and Mass Transfer, 48:2443-2451;

Xuan, V., Qiang, Li., Meng, Ye. (2007). Investigations of convective heat transfer in ferrofluid micro flows using lattice-Boltzmann approach. International Journal of Thermal Sciences, 46:105-111;

Zhou, W.N., Yan, Y.Y. (2015). Numerical investigation of the effects of a magnetic field on nanofluid flow and heat transfer by the lattice Boltzmann method. Numerical Heat Transfer, Part A 68:1-16 DOI:101080/10407782.2014.965017.


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