The present exploration addresses the boundary layer electro-magnetohydrodynamic (EMHD) flow of time-dependant non-Newtonian tangent hyperbolic nanofluid that is electrically conducting past a Riga surface with variable thickness and slip boundary condition. Configuration flow modeling is deduced considering chemical reaction and heat generation/absorption with the impacts of Brownian motion and thermophoresis. Also a newly proposed boundary condition with zero mass flux has been presented in the current contribution. Numerical solution of the governing non-linear differential equations is presented by considering the shooting technique. Graphical illustrations pointing out the aspects of distinct physical parameters on the non-Newtonian nanofluid velocity, temperature and concentration fields are introduced. From the computational results, the concentration distribution gives a decreasing function of the chemical reaction and Brownian motion parameters. Higher values of shape parameter yield a negative influence on the mechanical properties of the surface. The Hartmann number leads to maximize both of velocity field and skin friction coefficient. Additionally, numerical computed values of the skin friction, local Nusselt and Sherwood numbers are depicted with the needful discussion.
GailitisALielausisO. On a possibility to reduce the hydrodynamic resistance of a plate in an electrolyte. Appl. Magnetohydrodyn Rep Riga Inst Phys1961; 12: 143–146.
2.
AbbasTAyubMBhattiMMet al.Entropy generation on nanofluid flow through a horizontal Riga plate. Entropy2016; 18: 223–223.
3.
RamzanMBilalMDong ChungJae. Radiative Williamson nanofluid flow over a convectively heated Riga plate with chemical reaction – a numerical approach. Chinese J Phys2017; 55: 1663–1673.
4.
AyubMAbbasTBhattiMM. Inspiration of slip effects on electromagnetohydrodynamics (EMHD) nanofluid flow through a horizontal Riga plate. Eur Phys J Plus2016; 131: 193–193.
5.
AhmadAAsgharSAfzalS. Flow of nanofluid past a Riga plate. J Magn Magn Mater2016; 402: 44–48.
6.
FarooqMAnjumAHayatTet al.Melting heat transfer in the flow over a variable thicked Riga plate with homogeneous-heterogeneous reactions. J Mol Liq2016; 224: 1341–1347.
7.
MagyariEPantokratorasA. Aiding and opposing mixed convection flows over the Riga-plate. Commun Nonlinear Sci Num Simul2011; 16: 3158–3167.
8.
PantokratorasAMagyariE. EMHD free convection boundary layer flow from a Riga-plate. J Eng Math2009; 64: 303–315.
9.
PantokratorasA. The Blasius and Sakiadis flow along a Riga-plate. Prog Comput Fluid Dyn2011; 11: 329–333.
10.
BuongiornoJ. Convective transport in nanofluids. ASME J Heat Transfer2006; 128: 240–250.
11.
Choi SUS. Enhancing thermal conductivity of fluids with nanoparticles. In: Proceedings of the ASME international mechanical engineering congress and exposition, FED 231/MD, 1995, 66, pp. 99–105. San Francisco, California, USA: ASME.
12.
EllahiRRazaMVafaiK. Series solutions of non-Newtonian nanofluids with Reynolds’ model and Vogel’s model by means of the homotopy analysis method. Math Comp Model2012; 55: 1876–1891.
13.
SheikholeslamiMEllahiRAshorynejadHRet al.Effects of heat transfer in flow of nanofluids over a permeable stretching wall in a porous medium. J Comput Theor Nanos2014; 11: 486–496.
14.
KhanWAPopI. Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transfer2010; 53: 2477–2483.
15.
MakindeODAzizA. Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int J Therm Sci2011; 50: 1326–1332.
16.
HayatTImtiazMAlsaediAet al.MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation. J Magn Magn Mater2015; 396: 31–37.
17.
NieldDAKuznetsovAV. The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Int J Heat Mass Transf2009; 52: 5792–5795.
18.
RashidiMMFreidoonimehrNHosseiniAet al.Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration. Meccanica2014; 49: 469–482.
19.
KuznetsovAVNieldDA. Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci2010; 49: 243–247.
20.
BilalMHussainSSagheerM. Boundary layer flow of magneto-micropolar nanofluid flow with Hall and ion-slip effects using variable thermal diffusivity. Tech Sci2017; 65: 383–390.
21.
RamzanMBilalM. Three-dimensional flow of an elastico-viscous nanofluid with chemical reaction and magnetic field effects. J Mol Liquid2016; 215: 212–220.
22.
SajidTSagheerMHussainSet al.Darcy-Forchheimer flow of Maxwell nanofluid flow with nonlinear thermal radiation and activation energy. AIP Adv2018; 8: 035102–035102.
23.
SagheerMBilalMHussainSet al.Thermally radiative rotating magneto-nanofluid flow over an exponential sheet with heat generation and viscous dissipation: a comparative study. Commun Theor Phys2018; 69: 317–328.
24.
MalikMYSalahuddinTArifHet al.MHD flow of tangent hyperbolic fluid over a stretching cylinder: using Keller box method. J Magn Magn Mater2015; 395: 271–276.
25.
NadeemSMarajEN. The mathematical analysis for peristaltic flow of hyperbolic tangent fluid in a curved channel. Commun Theor Phys2013; 59: 729–736.
26.
CusslerEL. Diffusion mass transfer in fluid systems, London, UK: Cambridge University Press, 1988.
27.
MahdyA. Effect of chemical reaction and heat generation or absorption on double-diffusive convection from a vertical truncated cone in porous media with variable viscosity. Int Commun Heat Mass Transf2010; 37: 548–554.
28.
GehartBPeraL. The nature of vertical natural convection flow from the combined buoyancy effects on thermal and mass diffusion. Int J Heat Mass Transf1971; 14: 2025–2040.
29.
MahdyA. Boundary layer slip flow on diffusion of chemically reactive species over a vertical non-linearity stretching sheet. J Comput Theor Nanosci2013; 10: 2782–2788.
30.
IbrahimFSElaiwAMBakrAA. Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi infinite vertical permeable moving plate with heat source and suction. Commun Nonlinear Sci Numer Simul2008; 13: 1056–1066.
31.
GrinbergE. On determination of properties of some potential fields. Appl Magnetohydrodyn Rep Phys Inst Riga1961; 12: 147–154.
32.
HayatTAbbasTAyubMet al.Flow of nanofluid due to convectively heated Riga plate with variable thickness. J Mol Liquid2016; 222: 854–862.
33.
KhanMHussainAMalikMYet al.Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: a numerical investigation. Results Phys2017; 7: 2837–2844.
34.
FehlbergE. Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme. Computing1970; 6: 61–71.
35.
EnrightWHJacksonKRNorsettSPet al.Interpolants for Runge-Kutta formulas. ACM Trans Math Softw1986; 12: 193–218.
36.
ShampineLFCorlesRM. Initial value problems for ODEs in problem solving environments. J Comput Appl Math2000; 125: 31–40.
37.
Press WH, Flannery BP, Teukolsky SA, et al. Runge-Kutta method and adaptive step size control for Runge-Kutta, 16.1 and 16.2 in numerical recipes in FORTRAN: the art of scientific computing. 2nd ed. Cambridge: Cambridge University Press, 1992, p.704.
38.
FangTJiZhangZhongY. Boundary layer flow over a stretching sheet with variable thickness. Appl Math Comput2012; 218: 7241–7252.
39.
Abdel-WahedMSElbashbeshyEMAEmamTG. Flow and heat transfer over a moving surface with non-linear velocity and variable thickness in nanofluids in the presence of Brownian motion. Appl Math Comput2015; 254: 49–62.
