Unsteady Convective Boundary Layer Flow of Maxwell Fluid with Nonlinear Thermal Radiation: A Numerical Study

References

[1] L. Zheng, Y. Liu, and X. Zhang, Slip effects on MHD flow of a generalized Oldroyd-B fluid with fractional derivative, Nonlinear Anal. Real World Appl. 13 (2012), 513–523.10.1016/j.nonrwa.2011.02.016Search in Google Scholar

[2] C. Yin, J. Niu, C. Fu, and W. Tan, Thermal convection of a viscoelastic fluid in a fluid-porous system subjected to a horizontal plane Couette flow, Int. J. Heat Fluid Flow 44 (2013), 711–718.10.1016/j.ijheatfluidflow.2013.10.002Search in Google Scholar

[3] M. Turkyilmazoglu, Three dimensional MHD flow and heat transfer over a stretching/shrinking surface in a viscoelastic fluid with various physical effects, Int. J. Heat Mass Transfer 78 (2014), 150–155.10.1016/j.ijheatmasstransfer.2014.06.052Search in Google Scholar

[4] S. Abbasbandy, M. Yurusoy, and H. Gulluce, Analytical solutions of nonlinear equations of power-law fluids of second grade over an infinite porous plate, Math. Comput. Appl. 19 (2) (2014), 124.10.3390/mca19020124Search in Google Scholar

[5] T. Hayat, M. S. Anwar, M. Farooq, and A. Alsaedi, MHD stagnation point flow of second grade fluid over a stretching cylinder with heat and mass transfer, Int. J. Nonlinear Sci. Numer. Simul. 15 (6) (2014), 365–376.10.1515/ijnsns-2013-0104Search in Google Scholar

[6] M. Jamil and C. Fetecau, Helical flows of Maxwell fluid between coaxial cylinders with given shear stresses on the boundary, Nonlinear Anal. Real World Appl. 11 (2010), 4302–4311.10.1016/j.nonrwa.2010.05.016Search in Google Scholar

[7] S. Wang and W. Tan, Stability analysis of Soret-driven double-diffusive convection of Maxwell fluid in a porous medium, Int. J. Heat Fluid Flow 32 (2011), 88–94.10.1016/j.ijheatfluidflow.2010.10.005Search in Google Scholar

[8] S. Mukhopadhyay, Heat transfer analysis of the unsteady flow of a Maxwell fluid over a stretching surface in the presence of a heat source/sink, Chinese Phys. Lett. 29 (5) (2012), 054703.10.1088/0256-307X/29/5/054703Search in Google Scholar

[9] S. Abbasbandy, R. Naz, T. Hayat, and A. Alsaedi, Numerical and analytical solutions for Falkner–Skan flow of MHD Maxwell fluid, Appl. Math. Comput. 242 (2014), 569–575.10.1016/j.amc.2014.04.102Search in Google Scholar

[10] T. Hayat, M. Imtiaz, and S. Almezal, Modeling and analysis for three-dimensional flow with homogeneous-heterogeneous reactions, AIP Adv. 5 (2015), 107209.10.1063/1.4933084Search in Google Scholar

[11] S. A. Shehzad, A. Alsaedi, and T. Hayat, Hydromagnetic steady flow of Maxwell fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux, Plos One 8 (7) (2013), e68139.10.1371/journal.pone.0068139Search in Google Scholar

[12] S. Sharidan, T. Mahmood, and I. Pop, Similarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet, Int. J. Appl. Mech. Eng. 11 (2006), 647–654.Search in Google Scholar

[13] P. D. Ariel, T. Hayat, and S. Asghar, Homotopy perturbation method and axisymmetric flow over a stretching sheet, Int. J. Nonlinear Sci. Numer. Simul. 7 (2006), 399–406.10.1515/IJNSNS.2006.7.4.399Search in Google Scholar

[14] A. J. Chamkha, A. M. Aly, and M. A. Mansour, Similarity solution for unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction/injection and chemical reaction effects, Chem. Eng. Commun. 197 (6) (2010), 846–858.10.1080/00986440903359087Search in Google Scholar

[15] S. Mukhopadhyay and K. Bhattacharyya, Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction, J. Egyptian Math. Soc. 20 (2012), 229–234.10.1016/j.joems.2012.08.019Search in Google Scholar

[16] P. Sreenivasulu and N. B. Reddy, Thermal radiation and chemical reaction effects on MHD stagnation-point flow of a nanofluid over a porous stretching sheet embedded in a porous medium with heat absorption/generation: Lie group analysis, J. Global Res. Math. Arch. 1 (7) (2013), 13–27.Search in Google Scholar

[17] M. A. A. Hamad and I. Pop, Scaling transformations for boundary layer flow near the stagnation-point on a heated permeable stretching surface in a porous medium saturated with a nanofluid and heat generation/absorption effects, Transp. Porous Media 87 (2011), 25–39.10.1007/s11242-010-9683-8Search in Google Scholar

[18] T. Hayat, M. Imtiaz, and A. Alsaedi, Unsteady flow of nanofluid with double stratification and magnetohydrodynamics, Int. J. Heat Mass Transfer 92 (2016), 100–109.10.1016/j.ijheatmasstransfer.2015.08.013Search in Google Scholar

[19] F. Mabood, W. A. Khan, and A. I. M. Ismail, Approximate analytical modelling of heat and mass transfer in hydromagnetic flow over a non-isothermal stretched surface with heat generation/absorption and transpiration, J. Taiwan Inst. Chem. Eng. 54 (2015), 11–19.10.1016/j.jtice.2015.03.022Search in Google Scholar

[20] A. Raptis and C. Perdikis, Viscoelastic flow by the presence of radiation, ZAMP 78 (1998), 277–279.10.1002/(SICI)1521-4001(199804)78:4<277::AID-ZAMM277>3.0.CO;2-FSearch in Google Scholar

[21] A. Ishaq, Mixed convection boundary layer flow over a horizontal plate with thermal radiation, Heat Mass Transfer 46 (2009), 147–151.10.1007/s00231-009-0552-3Search in Google Scholar

[22] O. D. Makinde, Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating, Entropy 13 (2011), 1446–1464.10.3390/e13081446Search in Google Scholar

[23] R. Cortell, Combined effect of viscous dissipation and thermal radiation on fluid flows over a non-linearly stretched permeable wall, Meccanica 47 (3) (2012), 769–781.10.1007/s11012-011-9488-zSearch in Google Scholar

[24] M. M. Rashidi, B. Rostami, N. Freidoonimehr, and S. Abbasbandy, Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects, Ain Shams Eng. J. 5 (2014), 901–912.10.1016/j.asej.2014.02.007Search in Google Scholar

[25] M. Sheikholeslami, D. D. Ganji, M. Y. Javed, and R. Ellahi, Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer By Means Of two phase model, J. Magn Magn. Mater. 374 (2015), 36–43.10.1016/j.jmmm.2014.08.021Search in Google Scholar

[26] E. Magyari, Comment on “mixed convection boundary layer flow over a horizontal plate with thermal radiation” by A. Ishak, Heat and Mass Transfer. 46 (2010), 809–810, doi: 10.1007/S00231-009-0552-3.Search in Google Scholar

[27] R. Cortell, fluid flow and radiative nonlinear heat transfer over stretching sheet, J. King Saud Univ Sci. 26 (2013), 161–167.10.1016/j.jksus.2013.08.004Search in Google Scholar

[28] A. Pantokratoras and T. Fang, Sakiadis flow with nonlinear Rosseland thermal radiation, Phys. Scr. 87 (1) (2013), 015703.10.1088/0031-8949/87/01/015703Search in Google Scholar

[29] A. Mushtaq, M. Mustafa, T. Hayat, and A. Alsaedi, Nonlinear radiative heat transfer in the flow of nanofluid Due To solar energy: A numerical study, J. Taiwan Inst. Chem. Eng. 45 (2014), 1176–1183.10.1016/j.jtice.2013.11.008Search in Google Scholar

[30] T. Hayat, M. Imtiaz, A. Alsaedi, and M. A. Kutbi, MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation, J. Magn. Magn. Mater. 396 (2015), 31–37.10.1016/j.jmmm.2015.07.091Search in Google Scholar

[31] K. Inoyue and A. Tate, Finite difference version of quasilinearization applied to boundary layer equations, AIAA J. 12 (1974), 558–560.10.2514/3.49286Search in Google Scholar

[32] R. E. Bellman and R. E. Kalaba, Quasilinearization and Non-Linear Boundary Value Problems, America Elsevier Publishing Co. Inc., New York, 1965.Search in Google Scholar

[33] T. Hayat, Q. Hussain, and T. Javed, The modified decomposition method and Pade approximants for the MHD flow over a non-linear stretching sheet, Nonlinear Anal. Real World Appl. 10 (2009), 966–973.10.1016/j.nonrwa.2007.11.020Search in Google Scholar

[34] F. Mabood and K. Das, Melting heat transfer on hydromagnetic flow of a nanofluid over a stretching sheet with radiation and second-order slip, European Phys. J. Plus 131 (2016), 3.10.1140/epjp/i2016-16003-1Search in Google Scholar