Restricted accessResearch articleFirst published online 2018-10
Impact of homogeneous–heterogeneous reactions on mixed convection flow of a copper–water nanofluid past a permeable shrinking cylinder with thermal radiation
The effect of thermal radiation on mixed convective flow of a copper–water nanofluid past a porous shrinking cylinder with homogeneous–heterogeneous reactions is studied. Using suitable transformations, the partial differential equations are converted into ordinary differential equations. The resulting self-similar equations are numerically solved using shooting method for several values of the pertinent parameters. Both assisting flow and opposing flow are considered in this study. The numerical results signify that the multiple solutions exist for the opposing flow, while for the assisting flow the solution is unique. The results also indicate that dual solutions only exist when a certain value of suction is implemented through the permeable cylinder. Further, the nanoparticle fraction and mixed convective parameter delay the boundary layer separation. A comparison is made with the available published data and is found to be in good agreement.
Choi US. Enhancing thermal conductivity of fluids with nanoparticles. New York: ASME Publishing, 1995, pp. 99–105.
2.
BachokNIshakAPopI. Boundary layer stagnation-point flow toward a stretching/shrinking sheet in a nanofluid. J Heat Transfer2013; 135: 1–5.
3.
MakindeODAzizA. Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int J Therm Sci2011; 50: 1326–1332.
4.
HamadMAAFerdowsM. Similarity solutions to viscous flow and heat transfer of nanofluid over nonlinearly stretching sheet. Appl Math Mech Eng Ed2012; 33: 923–930.
5.
DasK. Mixed convection stagnation point flow and heat transfer of Cu-water nanofluids towards a shrinking sheet. Heat Transfer Asian Res2013; 42: 230–242.
6.
IbrahimWShankarBNandeppanavarMM. MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet. Int J Heat Mass Transfer2013; 56: 1–9.
7.
MansurSIshakAPopI. The magnetohydrodynamic stagnation point flow of a nanofluid over a stretching/shrinking sheet with suction. PLoS One2015; 10: 1–14.
8.
HayatTFarooqMAlsaediA. Stagnation point flow of carbon nanotubes over stretching cylinder with slip conditions. Open Phy2015; 13: 188–197.
9.
AcharyaNDasKKunduPK. The squeezing flow of Cu-water and Cu-kerosene nanofluids between two parallel plates. Alexandra Eng J2016; 55: 1177–1186.
10.
DasKAcharyaNKunduPK. The onset of nanofluid flow past a convectively heated shrinking sheet in presence of heat source/sink: A Lie group approach. Appl Therm Eng2016; 103: 38–46.
11.
AcharyaNDasKKunduPK. Ramification of variable thickness on MHD TiO2 and Ag nanofluid flow over a slendering stretching sheet using NDM. Eur Phys J Plus2016; 131: art id 303–303.
12.
DhanaiRRanaPKumarL. Multiple solutions of mhd boundary layer flow and heat transfer behavior of nanofluids induced by a power-law stretching/shrinking permeable sheet with viscous dissipation. Powder Tech2015; 273: 62–70.
13.
WangCY. Fluid flow due to a stretching cylinder. Phys Fluids1988; 31: 446–468.
14.
IshakANazarRPopI. Uniform suction/blowing on flow and heat transfer due to a stretching cylinder. Appl Math Model2008; 32: 2059–2066.
15.
MukhopadhyayS. Chemically reactive solute transfer in boundary layer slip flow along a stretching cylinder. Front Chem Sci Eng2011; 5: 385–391.
16.
MukhopadhyayS. MHD boundary layer slip flow along a stretching cylinder. Ain Shams Eng J2013; 4: 317–324.
17.
BhattacharyyaK. Boundary layer flow and heat transfer over a permeable shrinking cylinder with mass suction. Acta Tech2013; 58: 253–262.
18.
Najib N, Bachok N, Arifin NMd, et al. Stagnation point flow and mass transfer with chemical reaction past a stretching/shrinking cylinder. Sci Reports 2014 4: 1–7.
19.
HayatTAsadSAlsaediA. Flow of variable thermal conductivity fluid due to inclined stretching cylinder with viscous dissipation and thermal radiation. Appl Math Mech Eng Ed2014; 35: 717–728.
20.
OmarNSBachokNArifinNMd. Stagnation point flow over a stretching or shrinking cylinder in a copper-water nanofluid. Indian J Sci Technol2015; 8: 1–7.
21.
AcharyaNDasKKunduPK. Farming the features of MHD boundary layer flow past an unsteady stretching cylinder in presence of non-uniform heat source. J Mol Liq2017; 225: 418–425.
22.
HayatTImtiazMAlsaediA. Impact of magnetohydrodynamics in bidirectional flow of nanofluid subject to second order slip velocity and homogeneous-heterogeneous reactions. J Mag Magnet Mater2015; 395: 294–302.
23.
MerkinJH. A model for isothermal homogeneous-heterogeneous reactions in boundary layer flow. Math Comput Model1996; 24: 125–136.
24.
KameswaranPKShawSSibandaPet al.Homogeneous-heterogeneous reactions in a nanofluid flow due to a porous stretching sheet. Int J Heat Mass Transfer2013; 57: 465–472.
25.
NandkeolyarRKameswaranPKShawSet al.Heat transfer on nanofluid flow with homogeneous-heterogeneous reactions and internal heat generation. J Heat Transfer2014; 136: 1–8.
26.
DasMMahathaBKNandkeolyarR. Mixed convection and nonlinear radiation in the stagnation point nanofluid flow towards a stretching sheet with homogenous-heterogeneous reactions effects. Procedia Eng2015; 127: 1018–1025.
27.
HayatTFarooqMAlsaediA. Homogeneous-heterogeneous reactions in the stagnation point flow of carbon nanotubes with Newtonian heating. AIP Adv2015; 5: 027130–027130.
28.
IshakANazarRPopI. Mixed convection stagnation point flow of a micropolar fluid towards a stretching sheet. Meccanica2008; 43: 411–418.
29.
ChaudharyMAMerkinJH. A simple isothermal model for homogenous- heterogeneous reactions in boundary-layer flow. I: Equal diffusivities. Fluid Dyn Res1995; 16: 311–333.
30.
Mukhopadhyay S and Ishak A. Mixed convection flow along a stretching cylinder in a thermally stratified medium. J Appl Math 2012; 1–8.
31.
OztopHFAbu-NadaE. Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int J Heat Fluid Flow2008; 29: 243–255.
