Preferences help
enabled [disable] Abstract
Number of results
2019 | 128 | 2 | 130-147
Article title

Effects of thermal radiation and heat generation on hydromagnetic flow of nanofluid over an exponentially stretching sheet in a porous medium with viscous dissipation

Title variants
Languages of publication
This paper studies, the impacts of heat generation on MHD flow of radiative nanofluid over an exponentially stretching sheet in a porous medium with viscous dissipation are numerically analyzed. Two sorts of nanofluids, generated by solid nanoparticles with water such as alumina-water nanofluid and silver-water nanofluid were investigated. With the use of similarity transformations, to obtain a system of nonlinear ordinary differential equations. The resulting boundary value problem is solved numerically using the Nachtsheim-Swigert shooting technique scheme together with fourth-order Runge-Kutta integration method. Numerical results are obtained for the velocity, temperature distribution and concentration profiles for selected values of the governing physical parameters of combined magnetic interaction and porosity parameter, heat generation parameter, viscous dissipation parameter, thermal radiation parameter, solid volume fraction parameter, chemical reaction parameter and Lewis number are discussed. Quantities of engineering interest such as Skin friction coefficient, Nusselt number, and Sherwood number are also obtained numerically and are tabulated.
Physical description
  • Department of Mathematics, PSG College of Arts & Science, Coimbatore, India
  • Department of Mathematics, PSG College of Arts & Science, Coimbatore, India
  • [1] Choi, S.U.S. and Eastman, J.A. Enhancing thermal conductivity of fluids with nanoparticles, Proc. of the ASME Intl. Mechanical Engineering Congress and Exposition, 66 (1995) 99-105
  • [2] Kwak, K. and Kim, C. Viscosity and thermal conductivity of copper oxide nanofluid dispersed in ethylene glycol. Korea-Australia Rheology Journal, 17(2) (2005) 35-40
  • [3] Buongiorno, J., Venerus, D. C., Prabhat, N., McKrell, T., Townsend, J., Christianson, R. and Bang, I. C. A benchmark study on the thermal conductivity of nanofluids. Journal of Applied Physics, 106(9) (2009) 094312
  • [4] Zhou, S. Q. and Ni, R. Measurement of the specific heat capacity of water-based Al2O3 nanofluid. Applied Physics Letters 92(9) (2008) 093123
  • [5] Peng, X., Yu, X. and Yu, F. Experimental study on the specific heat of nanofluids. Journal of Materials Science And Engineering, 25(5) (2007) 719-722
  • [6] Abu-Nada, E. Effects of variable viscosity and thermal conductivity of Al2O3–water nanofluid on heat transfer enhancement in natural convection. International Journal of Heat and Fluid Flow, 30(4) (2009) 679-690
  • [7] Alfvén, H. Existence of electromagnetic-hydrodynamic waves. Nature, 150(3805) (1942) 405-406
  • [8] Chen, C. H. Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation. International journal of engineering science, 42(7) (2004) 699-713
  • [9] Anjali Devi, S. P. and Thiyagarajan, M. Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature. Heat and Mass Transfer, 42(8) (2006) 671-677
  • [10] Noor, N. F. M., Kechil, S. A. and Hashim, I. Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet. Communications in Nonlinear Science and Numerical Simulation, 15(2) (2010) 144-148
  • [11] Nadeem, S., Mehmood, R. and Akbar, N. S. Thermo-diffusion effects on MHD oblique stagnation-point flow of a viscoelastic fluid over a convective surface. The European Physical Journal Plus, 129(8) (2014) 182
  • [12] Rashidi, M. M., Ganesh, N. V., Hakeem, A. A. and Ganga, B. Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation. Journal of Molecular Liquids, 198 (2014) 234-238
  • [13] Nadeem, S., Mehmood, R., and Motsa, S. S. Numerical investigation on MHD oblique flow of Walter's B type nano fluid over a convective surface. International Journal of Thermal Sciences, 92 (2015) 162-172
  • [14] Mayeli, P., Hesami, H. and Moghaddam, M.H.D.F. Numerical investigation of the MHD forced convection and entropy generation in a straight duct with sinusoidal walls containing water - Al2O3 nanofluid. Numerical Heat Transfer, Part A: Applications, 71(12) (2017) 1235-1250
  • [15] Kishan, N. and Deepa, G. Viscous dissipation effects on stagnation point flow and heat transfer of a micropolar fluid with uniform suction or blowing. Advances in Applied Science Research, 3 (2012) 430-439
  • [16] Zokri, S. M., Arifin, N. S., Salleh, M. Z., Kasim, A. R. M., Mohammad, N. F. and Yusoff, W. N. S. W. MHD Jeffrey nanofluid past a stretching sheet with viscous dissipation effect. Journal of Physics: Conference Series, 890 (1) (2017) 012002
  • [17] Shahzad, F., Sagheer, M. and Hussain, S. Numerical simulation of magnetohydrodynamic Jeffrey nanofluid flow and heat transfer over a stretching sheet considering Joule heating and viscous dissipation. AIP Advances, 8(6) (2018) 065316
  • [18] Ishak, A. MHD boundary layer flow due to an exponentially stretching sheet with radiation effect. Sains Malaysiana 40(4) (2011) 391-395
  • [19] Hady, F. M., Ibrahim, F. S., Abdel-Gaied, S. M. and Eid, M. R. Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet. Nanoscale Research Letters, 7(1) (2012) 229
  • [20] Jat, R. N. and Chand, G. MHD flow and heat transfer over an exponentially stretching sheet with viscous dissipation and radiation effects. Applied Mathematical Sciences, 7(4) (2013) 167-180
  • [21] Nampelly, S., Lakshmi, A.V. and Tulishetti, G. Thermal Radiation and Slip Effects on MHD Flow and Heat Transfer of Casson Nanofluid Over an Exponentially Stretching Sheet. Journal of Nanofluids, 7(3) (2018) 478-487
  • [22] Yousif, M.A., Ismael, H.F., Abbas, T. and Ellahi, R. Numerical study of momentum and heat transfer of MHD carreau nanofluid over an exponentially stretched plate with internal heat source/sink and radiation. Heat Transfer Research, 50(7) (2019) 649-658
  • [23] Vajravelu, K. and Nayfeh, J. Convective heat transfer at a stretching sheet. Acta Mechanica, 96(1-4) (1993) 47-54
  • [24] Hamad, M.A.A. and Ferdows, M. Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: a Lie group analysis. Communications in Nonlinear Science and Numerical Simulation, 17(1) (2012) 132-140
  • [25] Awais, M., Hayat, T., Irum, S. and Alsaedi, A. Heat generation/absorption effects in a boundary layer stretched flow of Maxwell nanofluid: Analytic and numeric solutions. PloS One 10(6) (2015) e0129814
  • [26] Aziz, A., Alsaedi, A., Muhammad, T. and Hayat, T. Numerical study for heat generation/absorption in flow of nanofluid by a rotating disk. Results in physics, 8 (2018) 785-792
  • [27] Brinkman, H. C. The viscosity of concentrated suspensions and solutions. The Journal of Chemical Physics, 20(4) (1952) 571-571
  • [28] Das, S. K., Choi, S. U., Yu, W. and Pradeep, T. Nanofluids: science and technology. John Wiley & Sons, (2007).
  • [29] Rosseland, S. Theoretical Astrophysics, Clarendon Press, Oxford, (1936).
Document Type
Publication order reference
YADDA identifier
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.