Numerical analysis subject to double stratification and chemically reactive species on Williamson dual convection fluid flow yield by an inclined stretching cylindrical surface

Chinese Journal of Physics - Tập 55 - Trang 1637-1652 - 2017
Khalil Ur Rehman1, Abid Ali Khan1, M.Y. Malik1, U. Ali1, M. Naseer1
1Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan

Tài liệu tham khảo

Yang, 1972, Laminar free convection from a non-isothermal plate immersed in a temperature stratified medium, Int. J. Heat Mass Transfer, 15, 1097, 10.1016/0017-9310(72)90242-6 Jaluria, 1974, Stability and transition of buoyancy-induced flows in a stratified medium, J. Fluid Mech., 66, 593, 10.1017/S0022112074000383 Chen, 1976, Natural convection from simple bodies immersed in thermally stratified fluids, ASME J. Heat Transfer, 98, 446, 10.1115/1.3450574 Ishak, 2008, Mixed convection boundary layer flow adjacent to a vertical surface embedded in a stable stratified medium, Int. J. Heat Mass Transfer, 51, 3693, 10.1016/j.ijheatmasstransfer.2008.01.028 Chang, 2008, Free convection on a vertical plate with uniform and constant heat flux in a thermally stratified Micro polar fluid, Mech. Research Commun., 35, 421, 10.1016/j.mechrescom.2008.03.007 Singh, 2012, Computational dynamics of MHD free convection flow along an inclined plate with Newtonian heating in the presence of volumetric heat generation, Chem. Eng. Commun., 199, 1144, 10.1080/00986445.2011.651184 Malik, 2016, Effects of second order chemical reaction on MHD free convection dissipative fluid flow past an inclined porous surface by way of heat generation: a Lie group analysis, Inf. Sci. Lett., 5, 35, 10.18576/isl/050201 Mukhopadhyay, 2012, Mixed convection flow along a stretching cylinder in a thermally stratified medium, J. Applied. Math., 10.1155/2012/491695 Singh, 2014, Axisymmetric slip flowon a vertical cylinder with heat transfer, Sains Malaysiana, 43, 483 Hayat, 2014, Thermally stratified stagnation point flow of an Oldroyd-B fluid, Int. J. Nonlinear Sci. Numer. Simul, 15, 77, 10.1515/ijnsns-2013-0069 Lakshmi Narayana, 2007, Free convective heat and mass transfer in a doubly stratified porous medium saturated with a power law fluid, Int. J. Fluid Mech. Res., 36, 524, 10.1615/InterJFluidMechRes.v36.i6.40 Cheng, 2009, Combined heat and mass transfer in natural convection flow from a vertical wavy surface in a power-law fluid saturated porous medium with thermal and mass stratification, Int. Commun. Heat Mass, 36, 351, 10.1016/j.icheatmasstransfer.2009.01.003 Ibrahim, 2013, The effect of double stratification on boundary layer flow and heat transfer of nanofluid over a vertical plate, Comp. Fluids, 86, 433, 10.1016/j.compfluid.2013.07.029 Srinivasacharya, 2013, Effect of double stratification on MHD free covection in a micropolar fluid, J. Egypt. Math. Soc., 21, 370, 10.1016/j.joems.2013.02.006 Hayat, 2014, Thermal and concentration stratifications effects in raditaive flow of Jeffrey fluid over a stretching sheet, Plos One, 9, 1, 10.1371/journal.pone.0107858 Mahmood, 2016, Convective heat transfer of viscous fluid over a stretching sheet embedded in a thermally stratified medium, Bulgarian Chem. Commun., 48, 506 Rehman, 2016, Dual stratified mixed convection flow of Eyring-Powell fluid over an inclined stretching cylinder with heat generation/absorption effect, AIP Adv., 7 Rehman, 2017, Numerical analysis for MHD thermal and solutal stratified stagnation point flow of Powell-Eyring fluid induced by cylindrical surface with dual convection and heat generation effects, Res. Phys., 7, 482 Rehman, 2017, Logarithmic and parabolic curve fitting analysis of dual stratified stagnation point MHD mixed convection flow of Eyring-Powell fluid induced by an inclined cylindrical stretching surface, Res. Phys., 7, 544 Rehman, 2017, Parabolic curve fitting study subject to Joule heating in MHD thermally stratified mixed convection stagnation point flow of Eyring-Powell fluid induced by an inclined cylindrical surface, J. King Saud Uni. Sci. Munawar, 2012, Time-dependent flow and heat transfer over a stretching cylinder, Chin. J. Phys., 50, 828 Attia, 2014, Unsteady Couette flow of a thermally conducting viscoelastic fluid under constant pressure gradient in a porous medium, Chin. J. Phys., 52, 1015 Maqbool, 2016, Hall effect on falkner-skan boundary layer flow of FENE-P fluid over a stretching sheet, Commun. Theoretical Phys., 66, 547, 10.1088/0253-6102/66/5/547 Shahzad, 2012, MHD flow of a non-Newtonian Power law fluid over a vertical stretching sheet with the convective boundary condition, Walailak J. Sci. Tech., 10, 43 Shahzad, 2012, Approximate analytic solution for magneto-hydrodynamic flow of a non-Newtonian fluid over a vertical stretching sheet, Can. J. Appl. Sci., 2, 202 Khan, 2013, MHD Falkner-Skan flow with mixed convection and convective boundary conditions, Walailak J. Sci. Tech., 10, 517 Zeeshan, 2016, Effect of magnetic dipole on viscous ferro-fluid past a stretching surface with thermal radiation, J. Mol. Liq., 215, 549, 10.1016/j.molliq.2015.12.110 Hayat, 2017, Magnetohydrodynamic flow of Burgers fluid with heat source and power law heat flux, Chin. J. Phys., 55, 318, 10.1016/j.cjph.2017.02.004 Williamson, 1929, The flow of pseudoplastic materials, Ind. Eng. Chem. Res., 21, 1108, 10.1021/ie50239a035 Akbar, 2013, Numerical study of Williamson nano fluid flow in an asymmetric channel, Res. Phys., 3, 161 Ellahi, 2013, Three dimensional peristaltic flow of Williamson fluid in a rectangular duct, Indian J. Phys., 87, 1275, 10.1007/s12648-013-0340-2 Akbar, 2014, Blood flow study of Williamson fluid through stenosed arteries with permeable walls, Eur. Phys. J. Plus, 129, 256, 10.1140/epjp/i2014-14256-2 Nadeem, 2013, Flow of a Williamson fluid over a stretching sheet, Braz. J. Chem. Eng., 30, 619, 10.1590/S0104-66322013000300019 Malik, 2015, Numerical solution of MHD stagnation point flow of Williamson fluid model over a stretching cylinder, Int. J. Nonlinear Sci. Numer. Simul., 16, 161, 10.1515/ijnsns-2014-0035 Malik, 2016, Numerical solution of Williamson fluid flow past a stretching cylinder and heat transfer with variable thermal conductivity and heat generation/absorption, AIP Adv., 6 Hayat, 2015, Soret and Dufour effects in the flow of Williamson fluid over an unsteady stretching surface with thermal radiation, Z. Naturforsch. A., 70, 235, 10.1515/zna-2014-0252 Hayat, 2016, Newtonian and Joule heating effects in two-dimensional flow of Williamson fluid, J. Appl. Fluid Mech., 9, 1969, 10.18869/acadpub.jafm.68.235.24646 Nadeem, 2014, Flow and heat transfer analysis of Williamson nanofluid, Appl. Nanosci., 4, 1005, 10.1007/s13204-013-0282-1 Salahuddin, 2016, MHD Flow of Cattaneo-Christov heat flux model for Williamson fluid over a stretching sheet with variable thickness: using numerical approach, J. Magn. Magn. Mater., 401, 991, 10.1016/j.jmmm.2015.11.022 Bilal, 2017, Numerical investigation of thermally stratified Williamson fluid flow over a cylindrical surface via Keller box method, Res. Phys., 7, 690