IMPACT OF MAGNETIC FIELD IN RADIATIVE FLOW OF CASSON NANOFLUID WITH HEAT AND MASS FLUXES

Main Article Content

Tariq HUSSAIN Shafqat HUSSAIN Tasawar HAYAT

Abstract

The purpose of present article is to examine the influences of heat and mass fluxes in the magnetohydrodynamic (MHD) flow of Casson nanofluid by an exponentially stretching sheet. Formulation and analysis is presented when thermal radiation and viscous dissipation are taken into account. Transformation technique is adopted for the reduction of PDE systems to ODE systems. Both analytic and numerical solutions of dimensionless velocity, temperature and nanoparticle concentration fields are developed. The impacts  of sundry parameters on the velocity, temperature and nanoparticle concentration profiles are plotted and discussed. The values of skin-friction coefficient are obtained numerically. It is found that an increase in the values of Casson parameter reduced the skin-friction coefficient while it enhances for larger Hartman number.

Article Details

How to Cite
HUSSAIN, Tariq; HUSSAIN, Shafqat; HAYAT, Tasawar. IMPACT OF MAGNETIC FIELD IN RADIATIVE FLOW OF CASSON NANOFLUID WITH HEAT AND MASS FLUXES. Thermal Science, [S.l.], mar. 2017. ISSN 2334-7163. Available at: <http://thermal-science.tech/journal/index.php/thsci/article/view/2184>. Date accessed: 24 june 2017. doi: https://doi.org/10.2298/TSCI150712092H.
Section
Articles
Received 2017-03-03
Accepted 2017-03-13
Published 2017-03-13

References

[1] Dalir, N., Dehsara, M., Nourazar, S.A., Entropy analysis for magnetohydrodynamic flow and heat transfer of a Jeffrey nanofluid over a stretching sheet, Energy, 79 (2015), pp. 351-362, DOI:10.1016/j.energy.2014.11.021
[2] Boyd, J., Buick, J.M., Green, S., Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flow using the lattice Boltzmann method, Phys. Fluids, 19 (2007), pp. 93-103, DOI.org/10.1063/1.2772250
[3] Hayat, T., Shehzad, S.A., Alsaedi, A., Alhothuali, M.S., Mixed convection stagnation point flow of Casson fluid with convective boundary conditions, Chin. Phys. Lett., 29 (2012), 11, pp. 114704
[4] Mustafa, M., Hayat, T., Pop, I., Hendi, A.A., Stagnation-point flow and heat transfer of a Casson fluid towards a stretching sheet, Z Naturforsch. A, 67a (2012), pp. 70-76, DOI:10.5560/ZNA.2011-0057
[5] Mukhopadhyay, S., Casson fluid flow and heat transfer over a nonlinearly stretching surface, Chin. Phys. B, 22 (2013), 7, pp. 074701, DOI: 10.1088/1674-1056/22/7/074701
[6] Hayat, T., Farooq, M., Alsaedi, A., Thermally stratified stagnation point flow of Casson fluid with slip conditions, Int. J. Numer. Methods Heat Fluid Flow, 25 (2015), 4, pp. 724-748, DOI: http://dx.doi.org/10.1108/HFF-05-2014-0145
[7] Choi, S.U.S., Enhancing thermal conductivity of fluids with nanoparticles, in: The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisce, USA, ASME, FED 231/ MD, 66 (1995), pp. 99-105
[8] Buongiorno, J., Convective transport in nanofluids, J. Heat Transfer-Trans. ASME, 128 (2006), 3, pp. 240-250, DOI: 10.1115/1.2150834
[9] Turkyilmazoglu, M., Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids, Chem. Eng. Sci., 84 (2012), pp. 182-187, DOI:10.1016/j.ces.2012.08.029
[10] Ibrahim, W., Shankar, B., Nandeppanavar, M.M., MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet, Int. J. Heat Mass Transfer, 56 (2013), 1-2, pp. 1-9, DOI:10.1016/j.ijheatmasstransfer.2012.08.034
[11] Makinde, O.D., Khan, W.A., Khan, Z.H., Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet, Int. J. Heat Mass Transfer, 62 (2013), pp. 526-533, DOI:10.1016/j.ijheatmasstransfer.2013.03.049
[12] Sheikholeslami, M., Ganji, D.D., Three dimensional heat and mass transfer in a rotating system using nanofluid, Powder Technology, 253 (2014), pp. 789-796, DOI:10.1016/j.powtec.2013.12.042
[13] Turkyilmazoglu, M., A note on the correspondence between certain nanofluid flows and standard fluid flows, J. Heat Transfer-Trans. ASME, 137 (2015), 2, pp. 024501, DOI: 10.1115/1.4028807
[14] Garoosi, F., Rohani, B., Rashidi, M.M., Two-phase mixture modeling of mixed convection of nanofluids in a square cavity with internal and external heating, Powder Technology, 275 (2015), pp. 304- 321, DOI:10.1016/j.powtec.2015.02.015
[15] Zhang, C., Zheng, L., Zhang, X., Chen, G., MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction, Appl. Math. Modell., 39 (2015), 1, pp. 165-181, DOI:10.1016/j.apm.2014.05.023
[16] Hayat, T., Hussain, T., Shehzad, S.A., Alsaedi, A., Flow of Oldroyd-B fluid with nanoparticles and thermal radiation, Appl. Math. Mech., 36 (2015), 1, pp. 69-80, DOI: 10.1007/s10483-015-1896-9
[17] Hussain, T., Hayat, T., Shehzad, S.A., Alsaedi, A., Chen, B., A model of solar radiation and Joule heating in flow of third grade nanofluid, Z Naturforsch. A, 70 (2015), pp. 177-184.
[18] Sheikholeslami, M., Hatami, M., Domairry, G., Numerical simulation of two phase unsteady nanofluid flow and heat transfer between parallel plates in presence of time dependent magnetic field, J. Taiwan Inst. Chem. Eng., 46 (2015), pp. 43-50, DOI:10.1016/j.jtice.2014.09.025
[19] Lin, Y., Zheng, L., Zhang, X., Ma, L., Chen, G., MHD pseudo-plastic nanofluid unsteady flow and heat transfer in a finite thin film over stretching surface with internal heat generation, Int. J. Heat Mass Transfer, 84 (2015), pp. 903-911, DOI:10.1016/j.ijheatmasstransfer.2015.01.099
[20] Abbasi, F.M., Hayat, T., Ahmad, B., Peristalsis of silver-water nanofluid in the presence of Hall and Ohmic heating effects: Applications in drug delivery, J. Mol. Liq., 207 (2015), pp. 248-255, DOI:10.1016/j.molliq.2015.03.042
[21] Turkyilmazoglu, M., Thermal radiation effects on the time-dependent MHD permeable flow having variable viscosity, Int. J. Thermal Sci., 50 (2011), 1, pp. 88-96, doi:10.1016/j.ijthermalsci.2010.08.016
[22] Lin, Y., Zheng, L., Zhang, X., Radiation effects on Marangoni convection flow and heat transfer in pseudo-plastic non-Newtonian nanofluids with variable thermal conductivity, Int. J. Heat Mass Transfer, 77 (2014), pp. 708-716, DOI:10.1016/j.ijheatmasstransfer.2014.06.028
[23] Zheng, L., Zhang, C., Zhang, X., Zhang, J., Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium, Journal of Franklin Institute, 350 (2013), 5, pp. 990-1007, DOI:10.1016/j/jfranklin.2013.01.022
[24] Rashidi, M.M., Ganesh, N.V., Hakeem, A.K.A., Ganga, B., Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation, J. Mol. Liq., 198 (2014), pp. 234- 238, doi:10.1016/j.molliq.2014.06.037
[25] Shehzad, S.A., Hayat, T., Alsaedi, A., Obid, M.A., Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid: A model for solar energy, Appl. Math. Comput., 248 (2014), pp. 273-286, doi:10.1016/j.amc.2014.09.091
[26] Liao, S.J., Homotopy analysis method in nonlinear differential equations, Springer & Higher Education Press, Heidelberg, 2012
[27] Turkyilmazoglu, M., Solution of the Thomas-Fermi equation with a convergent approach, Commun. Nonlinear Sci. Numer. Simulat., 17 (2012), 11, pp. 4097-4103, DOI:10.1016/j.cnsns.2012.01.030
[28] Hayat, T., Shehzad, S.A., Qasim, M., Obaidat, S., Flow of a second grade fluid with convective boundary conditions, Thermal Sci., 15 (2011), S2, pp. 253-261, DOI: 10.2298/TSCI101014058H
[29] Abbasi, F.M., Shehzad, S.A., Hayat, T., Alsaedi, A., Obid, M.A., Influence of heat and mass flux conditions in hydromagnetic flow of Jeffrey nanofluid, AIP Adv., 5 (2015), 037111, DOI: http://dx.doi.org/10.1063/1.4914549
[30] Hayat, T., Imtiaz, M., Alsaedi, A., MHD flow of nanofluid with homogenous-hetreogenous reactions and velocity slip, Thermal Sci., DOI: 10.2298/TSCI140922067H