Restricted accessResearch articleFirst published online 2018-6
Unsteady electromagnetic radiative nanofluid stagnation-point flow from a stretching sheet with chemically reactive nanoparticles,Stefan blowing effect and entropy generation
This article investigates the combined influence of nonlinear radiation, Stefan blowing and chemical reactions on unsteady electro-magneto-hydrodynamic stagnation-point flow of a nanofluid from a horizontal stretching sheet. Both electrical and magnetic body forces are considered. In addition, the effects of velocity slip, thermal slip and mass slip are considered at the boundaries. An analytical method named as homotopy analysis method is applied to solve the non-dimensional system of nonlinear partial differential equations which are obtained by applying similarity transformations on governing equations. The effects of emerging parameters such as Stefan blowing parameter, electric parameter and magnetic parameter on the important physical quantities are presented graphically. In addition, an entropy generation analysis is provided in this article for thermal optimization. The flow is observed to be accelerated both with increasing magnetic field and electrical field. Entropy generation number is markedly enhanced with greater magnetic field, electrical field and Reynolds number, whereas it is reduced with increasing chemical reaction parameter.
SpaldingDB.Mass transfer in laminar flow. Proc R Soc Lon Ser-A1954; 221: 78–99.
2.
FangTJingW.Flow, heat and species transfer over a stretching plate considering coupled Stefan blowing effects from species transfer. Commun Nonlinear Sci2014; 19: 3086–3097.
3.
UddinMJKabirMNBégOA.Computational investigation of Stefan blowing and multiple-slip effects on buoyancy-driven bioconvection nanofluid flow with microorganisms. Int J Heat Mass Tran2016; 95: 116–130.
4.
UddinMJAlginahiYBégOAet al. Numerical solutions for gyrotactic bioconvection in nanofluid-saturated porous media with Stefan blowing and multiple slip effects. Comput Math Appl2016; 72: 2562–2581.
5.
ChoiSUSEastmanJA. Enhancing thermal conductivity of fluids with nanoparticles. Argonne National Lab., IL (United States), 1995, https://www.osti.gov/scitech/biblio/196525/ (accessed 28 March 2017).
6.
BuongiornoJ.Convective transport in nanofluids. ASME J Heat Transfer2005; 128: 240–250.
7.
SheikholeslamiM.Magnetohydrodynamic nanofluid forced convection in a porous lid driven cubic cavity using Lattice Boltzmann method. J Mol Liq2017; 231: 555–565.
8.
SheikholeslamiM.Influence of magnetic field on nanofluid free convection in an open porous cavity by means of Lattice Boltzmann method. J Mol Liq2017; 234: 364–374.
9.
ShahzadFHaqRUAl-MdallalQM.Water driven Cu nanoparticles between two concentric ducts with oscillatory pressure gradient. J Mol Liq2016; 224: 322–332.
10.
SheikholeslamiMBhattiMM.Active method for nanofluid heat transfer enhancement by means of EHD. Int J Heat Mass Tran2017; 109: 115–122.
11.
HaqRUNoorNFMKhanZH.Numerical simulation of water based magnetite nanoparticles between two parallel disks. Adv Powder Technol2016; 27: 1568–1575.
12.
HaqRUHamouchZHussainSTet al. MHD mixed convection flow along a vertically heated sheet. Int J Hydrogen Energ2017; 42: 15925–15932.
13.
SheikholeslamiMRokniHB.Melting heat transfer influence on nanofluid flow inside a cavity in existence of magnetic field. Int J Heat Mass Tran2017; 114: 517–526.
14.
SheikholeslamiMSadoughiM.Mesoscopic method for MHD nanofluid flow inside a porous cavity considering various shapes of nanoparticles. Int J Heat Mass Tran2017; 113: 106–114.
15.
SheikholeslamiM.Numerical simulation of magnetic nanofluid natural convection in porous media. Phys Lett A2017; 381: 494–503.
16.
SheikholeslamiMRokniHB.Nanofluid two phase model analysis in existence of induced magnetic field. Int J Heat Mass Tran2017; 107: 288–299.
17.
SheikholeslamiMZeeshanA.Analysis of flow and heat transfer in water based nanofluid due to magnetic field in a porous enclosure with constant heat flux using CVFEM. Comput Method Appl M2017; 320: 68–81.
18.
SheikholeslamiMGorji-BandpyMGanjiDD.Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid. Powder Technol2014; 254: 82–93.
19.
KhanUAhmedNMohyud-DinSTet al. Nonlinear radiation effects on MHD flow of nanofluid over a nonlinearly stretching/shrinking wedge. Neural Comput Appl2017; 28: 2041–2050.
20.
BhattiMMRashidiMM.Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet. J Mol Liq2016; 221: 567–573.
21.
SheikholeslamiM.Magnetic field influence on nanofluid thermal radiation in a cavity with tilted elliptic inner cylinder. J Mol Liq2017; 229: 137–147.
22.
RashidIHaqRUAl-MdallalQM.Aligned magnetic field effects on water based metallic nanoparticles over a stretching sheet with PST and thermal radiation effects. Physica E2017; 89: 33–42.
Mohyud-DinSTKhanSI.Nonlinear radiation effects on squeezing flow of a Casson fluid between parallel disks. Aerosp Sci Technol2016; 48: 186–192.
25.
MishraSRPattnaikPKBhattiMMet al. Analysis of heat and mass transfer with MHD and chemical reaction effects on viscoelastic fluid over a stretching sheet. Indian J Phys2017; 91: 1219–1227.
26.
EidMR.Chemical reaction effect on MHD boundary-layer flow of two-phase nanofluid model over an exponentially stretching sheet with a heat generation. J Mol Liq2016; 220: 718–725.
27.
VenkateswarluBNarayanaPVS. Chemical reaction and radiation absorption effects on the flow and heat transfer of a nanofluid in a rotating system. Appl Nanosci2015; 5: 351–360.
28.
BégOAFerdowsMBégETAet al.AlamM.Numerical investigation of radiative optically-dense transient magnetized reactive transport phenomena with cross diffusion, dissipation and wall mass flux effects. J Taiwan Inst Chem E2016; 66: 12–26.
29.
MatinMHPopI.Forced convection heat and mass transfer flow of a nanofluid through a porous channel with a first order chemical reaction on the wall. Int Commun Heat Mass2013; 46: 134–141.
30.
KameswaranPKNarayanaMSibandaPet al. Hydromagnetic nanofluid flow due to a stretching or shrinking sheet with viscous dissipation and chemical reaction effects. Int J Heat Mass Tran2012; 55: 7587–7595.
31.
Ravi KiranGRadhakrishnamacharyaGBégOA. Peristaltic flow and hydrodynamic dispersion of a reactive micropolar fluid-simulation of chemical effects in the digestive process. J Mech Med Biol2016; 17: 1–17.
32.
AhmedSBégOA.Steady-state transport phenomena on induced magnetic field modeling for convective chemically reacting fluid with viscous dissipative heat. Heat Transf Res. Epub ahead of print 30 September 2016, http://dx.doi.org/10.1615/HeatTransRes.2016008487 (accessed 26 August 2017).
33.
ShuklaNRanaPBégOAet al. Effect of chemical reaction and viscous dissipation on MHD nanofluid flow over a horizontal cylinder: analytical solution. AIP Conf Proc2017; 1802: 020015.
34.
BejanA.Method of entropy generation minimization, or modeling and optimization based on combined heat transfer and thermodynamics. Rev Générale Therm1996; 35: 637–646.
35.
TshehlaMSMakindeOD.Analysis of entropy generation in a variable viscosity fluid flow between two concentric pipes with a convective cooling at the surface. Int J Phys Sci2011; 6: 6053–6060.
36.
DasSChakrabortySJanaRNet al. Entropy analysis of unsteady magneto-nanofluid flow past accelerating stretching sheet with convective boundary condition. Appl Math Mech2015; 36: 1593–1610.
37.
RehmanSHaqRUKhanZHet al. Entropy generation analysis for non-Newtonian nanofluid with zero normal flux of nanoparticles at the stretching surface. J Taiwan Inst Chem E2016; 63: 226–235.
38.
QingJBhattiMAbbasMet al. Entropy generation on MHD Casson nanofluid flow over a porous stretching/shrinking surface. Entropy2016; 18: 1–14.
39.
BhattiMMAbbasTRashidiMM.Entropy generation as a practical tool of optimisation for non-Newtonian nanofluid flow through a permeable stretching surface using SLM. J Comput Des Eng2017; 4: 21–28.
40.
AbbasTHayatTAyubMet al. Electromagnetohydrodynamic nanofluid flow past a porous Riga plate containing gyrotactic microorganism. Neural Comput Appl2017; https://doi.org/10.1007/s00521-017-3165-7
LiaoSJ.On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. J Fluid Mech2003; 488: 189–212.
44.
RehmanSHaqRULeeCet al. Numerical study of non-Newtonian fluid flow over an exponentially stretching surface: an optimal HAM validation. J Braz Soc Mech Sci Eng2017; 39: 1589–1596.
45.
GuptaVGGuptaS.Application of homotopy analysis method for solving nonlinear Cauchy problem. Surv Math Appl2012; 7: 105–116.
46.
HaqRUNaveed KazmiSMekkaouiT.Thermal management of water based SWCNTs enclosed in a partially heated trapezoidal cavity via FEM. Int J Heat Mass Tran2017; 112: 972–982.
47.
BhattiMMAbbasMARashidiMM.A robust numerical method for solving stagnation point flow over a permeable shrinking sheet under the influence of MHD. Appl Math Comput2018; 316: 381–389.
48.
HsiaoK-L.Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet. Appl Therm Eng2016; 98: 850–861.
49.
Abdul LatiffNAUddinMJBégOAet al. Unsteady forced bioconvection slip flow of a micropolar nanofluid from a stretching/shrinking sheet. Proc IMechE, Part N: J Nanoengineering and Nanosystems2016; 230: 177–187.
50.
RajeshVBégOAMalleshM.Transient nanofluid flow and heat transfer from a moving vertical cylinder in the presence of thermal radiation: numerical study. Proc IMechE, Part N: J Nanoengineering and Nanosystems2016; 230: 3–16.
51.
AbbasZHayatTSajidMet al. Unsteady flow of a second grade fluid film over an unsteady stretching sheet. Math Comput Model2008; 48: 518–526.
52.
RanaPBhargavaRBégOA.Finite element simulation of unsteady magneto-hydrodynamic transport phenomena on a stretching sheet in a rotating nanofluid. Proc IMechE, Part N: J Nanoengineering and Nanosystems2013; 227: 77–99.
53.
HayatTMuhammadTAlsaediAet al. Magnetohydrodynamic three-dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation. J Magn Magn Mater2015; 385: 222–229.
54.
BhattiMAbbasTRashidiMet al. Numerical simulation of entropy generation with thermal radiation on MHD Carreau nanofluid towards a shrinking sheet. Entropy2016; 18: 200.
55.
Van GorderRAVajraveluK. On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. Commun Nonlinear Sci2009; 14: 4078–4089.
56.
WangCY.Stagnation flow towards a shrinking sheet. Int J Nonlin Mech2008; 43: 377–382.
57.
AbbasZSheikhMPopI.Stagnation-point flow of a hydromagnetic viscous fluid over stretching/shrinking sheet with generalized slip condition in the presence of homogeneous–heterogeneous reactions. J Taiwan Inst Chem E2015; 55: 69–75.
58.
ShehzadSAHayatTAlsaediAet al. Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid: a model for solar energy. Appl Math Comput2014; 248: 273–286.
