Finite element simulation of unsteady magneto-hydrodynamic transport phenomena on a stretching sheet in a rotating nanofluid

Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems

Volumn 227, Issue 2, 2013, Pages 77-99

  Rana, Puneet ^a   Bhargava, Rama ^a   Bég, Osman A ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

^b Gort Engovation Research (Propulsion and Biomechanics)   (United Kingdom)

Author keywords

Boundary layer; Brownian motion; Finite element method; Magnetic nano materials processing; Nanofluid; Rotation; Stretching sheet; Thermophoresis

Indexed keywords

BOUNDARY LAYER EQUATIONS; FINITE ELEMENT SIMULATIONS; NANOFLUIDS; NANOPARTICLE CONCENTRATIONS; STRETCHING SHEET; THREE-DIMENSIONAL CONSERVATION EQUATIONS; TRANSVERSE MAGNETIC FIELD; TWO-POINT BOUNDARY VALUE PROBLEM;

AXIAL FLOW; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; BROWNIAN MOVEMENT; FINITE ELEMENT METHOD; MAGNETOHYDRODYNAMICS; NUSSELT NUMBER; ROTATION; THERMOPHORESIS;

NANOFLUIDICS;

EID: 84880544774     PISSN: 17403499     EISSN: 20413092     Source Type: Journal    
DOI: 10.1177/1740349912463312     Document Type: Article

References (54)

1. Andablo-Reyes E, Hidalgo-Á lvarez R and De Vicente J. Controlling friction using magnetic nanofluids. Soft Matter 2011; 7: 880-883.
2. Tombacz E, Bica D, Hajdu A, et al. Surfactant double layer stabilized magnetic nanofluids for biomedical application. J Phys: Condens Mat 2008; 20: 204103.
3. Crainic N, Bica D, Torres Marques A, et al. Magnetic nanocomposites obtained using high evaporation rate magnetic nanofluids. Int J Nanomanuf 2007; 1: 784-798.
4. Zhu J, Yudasaka M, Zhang M, et al. Directed assembly of nanostructured carbon materials on to atterned polymer surfaces. Appl Phys A: Mater 2005; 81: 449-452.
5. Susan-Resiga D, Socoliuc V, Boros T, et al. The influence of particle clustering on the rheological properties of highly concentrated magnetic nanofluids. J Colloid Interf Sci 2012; 373: 110-115.
6. Baron A, Szewieczek D and Nowosielski R. Selected manufacturing techniques of nano-materials. J Achiev Mater Manuf Eng 2007; 20: 83-86.
7. Crainic N, Marques AT, Bica D, et al. The use of the nanomagnetic fluids and the magnetic field to enhance the production of composite made by RTM-MNF. Mol Cryst Liq Cryst 2004; 418: 757-768.
8. Latham AH, Tarpara AN and Williams ME. Magnetic field switching of nanoparticles between orthogonal microfluidic channels. Anal Chem 2007; 79: 5746-5752.
9. Stephens JR, Beveridge JS, Latham AH, et al. Diffusive flux and magnetic manipulation of nanoparticles through porous membranes. Anal Chem 2010; 82: 3155-3160.
10. Bég OA, Ghosh SK and Bég TA. Applied magneto-fluid dynamics: modelling and computation. Saarbrü cken, Germany: Lambert Academic Publishing, 2011.
11. Das SK, Choi SUS, Yu W, et al. Nanofluids: science and technology. New York City, USA: Wiley-Interscience, 2007.
12. Choi SUS. Enhancing thermal conductivity of fluids with nanoparticles in developments and applications of non- Newtonian flows. J Fluid Eng-T ASME 1995; 66: 99-105.
13. Nourazar SS, Habibi Matin M and Simiari M. The HPM applied to MHD nanofluid flow over a horizontal stretching plate. J Appl Math 2011; 2011: 1-17 (article ID 876437).
14. Chamkha AJ and Aly AM. MHD free convection flow of a nanofluid past a vertical plate in the presence of heat generation or absorption effects. Chem Eng Commun 2011; 198: 425-441.
15. Hamad MAA, Pop I and Ismail AIM. Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate. Nonlinear Anal: Real 2011; 12: 1338-1346.
16. Hamad MAA. Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field. Int Commun Heat Mass 2011; 38: 487-492.
17. Shahidian A, Ghassemi M and Mohammadi R. Effect of nanofluid properties on magnetohydrodynamic pump (MHD). Adv Mat Res 2011; 403: 663-669.
18. Aminossadati SM, Raisi A and Ghasemi B. Effects of magnetic field on nanofluid forced convection in a partially heated microchannel. Int J Non-Lin Mech 2011; 46: 1373-1382.
19. Kadri S, Mehdaoui R and Elmi M. Vertical magnetoconvection in square cavity containing a Al2O3 + water nanofluid: cooling of electronic compounds. Energy Procedia 2012; 18: 724-732.
20. Zeeshan A, Ellahi R, Siddiqui AM, et al. An investigation of porosity and magnetohydrodynamic flow of non-Newtonian nanofluid in coaxial cylinders. Int J Phys Sci 2012; 7: 1353-1361.
21. Ellahi R, Zeeshan A, Vafai K, et al. Series solutions for magneto-hydrodynamic flow of non-Newtonian nanofluid and heat transfer in coaxial porous cylinder with slip conditions. Proc IMechE, Part N: J Nanoengineering and Nanosystems 2011; 225: 123-132.
22. Nemati H, Farhadi M, Sedighi K, et al. Magnetic field effects on natural convection flow of a nanofluid in a rectangular cavity using the Lattice Boltzmann model. Sci Iran 2012; 19: 303-310.
23. Wang CY. Stretching a surface in a rotating fluid. ZAMP: J Appl Math Phys 1988; 39: 177-185.
24. Lakshmisha KN, Venkateswaran S and Nath G. Threedimensional unsteady flow with heat and mass transfer over a continuous stretching surface. J Heat Trans-T ASME 1988; 110: 590-595.
25. Nazar R, Amin N and Pop I. Unsteady boundary layer flow due to a stretching surface in a rotating fluid. Mech Res Commun 2004; 31: 121-128.
26. Javed T, Sajid M, Abbas Z, et al. Non-similar solution for rotating flow over an exponentially stretching surface. Int J Numer Method H 2011; 21: 903-908.
27. Sajid M, Iqbal Z, Hayat T, et al. Series solution for rotating flow of an upper convected Maxwell fluid over a stretching sheet. Commun Theor Phys 2011; 56: 740.
28. Sheikholeslami M, Ashorynejad HR, Domairry G, et al. Flow and heat transfer of Cu-water nanofluid between a stretching sheet and a porous surface in a rotating system. J Appl Math 2012; 2012: 1-18.
29. Hamad MAA and Pop I. Unsteady MHD free convection flow past a vertical permeable flat plate in a rotating frame of reference with constant heat source in a nanofluid. Heat Mass Transfer 2011; 47: 1517-1524.
30. Yu W, France D, Routbort J, et al. Review and comparison of nanofluid thermal conductivity and heat transfer enhancements. Heat Transfer Eng 2008; 29: 432-460.
31. Eastman J, Choi SUS, Li S, et al. Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Appl Phys Lett 2001; 78: 718-720.
32. Pak BC and Cho YI. Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles. Exp Heat Transfer 1998; 11: 151-170.
33. Wang X, Xu X and Choi SUS. Thermal conductivity of nanoparticle-fluid mixture. AIAA J Thermophys Heat Transfer 1999; 13: 474-480.
34. Karthikeyan NR, Philip MJ and Raj B. Effect of clustering on the thermal conductivity of nanofluids. Mater Chem Phys 2008; 109: 50-55.
35. Prasher R, Bhattacharya P and Phelan P. Brownianmotion- based convective-conductive model for the effective thermal conductivity of nanofluids. J Heat Trans-T ASME 2006; 128: 588-595.
36. Chon CH, Kihm KD, Lee SP, et al. Empirical correlation finding the role of temperature and particle size for nanofluid thermal conductivity enhancement. Appl Phys Lett 2005; 87: 153107.
37. Keblinski P, Eastman JA and Cahill DG. Nanofluids for thermal transport. Mater Today 2005; 8: 36-44.
38. Leong KC, Yang C and Murshed SMS. A model for the thermal conductivity of nanofluids - The effect of interfacial layer. J Nanopart Res 2006; 8: 245-254.
39. Buongiorno J. Convective transport in nanofluids. J Heat Trans-T ASME 2006; 128: 240-250.
40. Kuznetsov AV and Nield DA. Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci 2010; 49: 243-247.
41. Khan WA and Pop I. Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Tran 2010; 53: 2477-2483.
42. Bég OA and Tripathi D. Mathematical simulation of peristaltic pumping with double-diffusive convection in nanofluids: a bio-nano-engineering model. Proc IMechE, Part N: J Nanoengineering and Nanosystems 2012; 225: 99-114.
43. Rana P, Bhargava R and Bég OA. Numerical solution for mixed convection boundary layer flow of a nanofluid along an inclined plate embedded in a porous medium. Comput Math Appl 2012; 64: 2816-2832.
44. Rana P and Bhargava R. Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study. Commun Nonlinear Sci 2012; 17: 212-226.
45. Rana P and Bhargava R. Numerical study of heat transfer enhancement in mixed convection flow along a vertical plate with heat source/sink utilizing nanofluids. Commun Nonlinear Sci 2011; 16: 4318-4334.
46. Reddy JN. An introduction to the finite element method. 3rd ed. New York: McGraw-Hill International Editions, 2005.
47. Bég OA, Takhar HS, Bhargava R, et al. Numerical study of heat transfer of a third grade viscoelastic fluid in non- Darcian porous media with thermophysical effects. Phys Scripta 2008; 77: 1-11.
48. Rawat S, Bhargava R, Bhargava R, et al. Transient magneto-micropolar free convection heat and mass transfer through a non-Darcy porous medium channel with variable thermal conductivity and heat source effects. Proc IMechE, Part C: J Mechanical Engineering Science 2009; 223: 2341-2355.
49. Rawat S, Kapoor S, Bhargava R, et al. Heat and mass transfer of a chemically reacting micropolar fluid over a linear stretching sheet in Darcy-Forchheimer porous medium. Int J Comput Appl 2012; 44: 40-51.
50. Abbas Z, Javed T, Sajid M, et al. Unsteady MHD flow and heat transfer on a stretching sheet in a rotating fluid. J Taiwan Inst Chem E 2010; 41: 644-650.
51. Ghosh SK, Bég OA and Narahari M. Hall effects on MHD flow in a rotating system with heat transfer characteristics. Meccanica 2009; 44: 741-765.
52. Ghosh SK, Bég OA and Zueco J. Rotating hydromagnetic optically-thin gray gas flow with thermal radiation effects. J Theor Appl Mech 2009; 39: 101-120.
53. Rashidi MM, Bég OA, Asadi M, et al. DTM-Padé modeling of natural convective boundary layer flow of a nanofluid past a vertical surface. Int J Therm Environ Eng 2012; 4: 13-24.
54. Bég OA, Gorla RSR, Prasad VR, et al. Computational study of mixed thermal convection nanofluid flow in a porous medium. In: 12th UK national heat transfer conference, Chemical Engineering Department, University of Leeds, UK, 30 August-1 September 2011, session 8, ID 0004.