Investigation of two phase unsteady nanofluid flow and heat transfer between moving parallel plates in the presence of the magnetic field using GM

Document Type : Original Research Paper

Authors

Babol University of Technology, Department of Mechanical Engineering, Babol, I. R. Iran

Abstract

In this paper, unsteady two phase simulation of nanofluid flow and heat transfer between moving parallel plates, in presence of the magnetic field is studied. The significant effects of thermophoresis and Brownian motion have been contained in the model of nanofluid flow. The three governing equations are solved simultaneously via Galerkin method (GM). Comparison with other works indicates that this method is very applicable to solve these problems. The semi analytical analysis is accomplished for different governing parameters in the equations e.g. the squeeze number, Eckert number and Hartmann number. The results showed that skin friction coefficient value increases with increasing Hartmann number and squeeze number in a constant Reynolds number. Also, it is shown that the Nusselt number is an incrementing function of Hartmann number while Eckert number is a reducing function of squeeze number .This type of results can help the engineers to make better and researchers to investigate faster and easier.

Keywords

References

[1]     M.Sheikholeslami , H.R.Ashorynejad, D.D. Ganji, A. Kolahdooz: Investigation of Rotating MHD Viscous Flow and Heat Transfer between Stretching and Porous Surfaces Using Analytical Method, Hindawi Publishing Corporation Mathematical Problems in Engineering (2011).
[2]   M. Sheikholeslami, H.R. Ashorynejad, D.D.Ganji, Yıldırım A: Homotopy perturbation method for three-dimensional problem of condensation film on inclined rotating disk, Scientia Iranica B 19 (2012) 437–442.
 [3]  D.D.Ganji, H.B.Rokni, M.G.Sfahani, S.S.Ganji : Approximate traveling wave solutions for coupled shallow water. Advances in Engineering Software 41 (2010) 956–961.
[4]   M. Keimanesh, M.M.Rashidi, A.J. Chamkha,R.Jafari: Study of a third grade non- Newtonian fluid flow between two parallel plates using the multi-step differ-ential transform method, Computers and Mathematics with Applications 62 (2011) 2871–2891.
[5]   M.Hatami, Kh.Hosseinzadeh, G. Domairry, M.T.Behnamfar: Numerical study of MHD two-phase Couette flow analysis for fluid-particle suspension between moving parallel plates. Journal of the Taiwan Institute of Chemical Engineers 45 (2014) 2238-2245.
[6]   K.Khanafer , K.Vafai , M. Lightstone: Buoyancy-  driven heat transfer enhance-ment in a two-dimensional enclosure utilizing nanofluids. International Journal of Heat and Mass Transfer 46 (2003) 3639–3653.
[7]  E.Abu-Nada ,Z. Masoud , A.Hijazi:Natural convection heat transfer enhance-ment in horizontal concentric annuli using nanofluids, International Communications in Heat and Mass Transfer 35 (2008) 657–665.
[8]    M.M. Rashidi ,S.Abelman, N. Freidooni Mehr: Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid, International Journal of Heat and Mass Transfer 62 (2013) 515–525.
[9]   M. Sheikholeslami ,Sh. Abelman, D.D.Ganji: Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation, International Journal of Heat and Mass Transfer 79 (2014) 212–222.
[10]   M.Sheikholeslami, M.Gorji-Bandpy ,D.D Ganji: MHD free convection in an eccentric semi-annulus filled with nanofluid, Journal of the Taiwan Institute of Chemical Engineers 45(2014)1204–16.
[11]  M. Sheikholeslami, M.Gorji-Bandpy, D.D.Ganji S.Soleimani: MHD natural convection in a nanofluid filled inclined enclosure with sinusoidal wall using CVFEM, Neural Comput & Applic 24 (2014) 873–882.
[12]  A.Malvandi ,D.D. Ganji: Brownian motion and thermophoresis effects on slip flow of alumina/water nanofluid inside a circular microchannel in the presence of a magnetic field, International Journal of Thermal Sciences 84 (2014) 196-206.
[13]   M. Hatami , D.D.Ganji: Heat transfer and nanofluid flow in suction and blowing process between parallel disks in presence of variable magnetic, Field Journal of Molecular Liquids190 (2014) 159–168.
[14]  H.R. Ashorynejad, A.A. Mohamad, M.Sheikholeslami: Magnetic field effects on natural convection flow of a nanofluid in a horizontal cylindrical annulus using Lattice Boltzmann method. International Journal of Thermal Sciences 64 (2013) 240-250.
[15]  D.A.Nield, A.V.Kuznetsov: Thermal instability in a porous medium layer saturated by a nanofluid, International, Journal of Heat and Mass Transfer 52 (2009) 5796–5801.
[16]  W.A. Khan: Pop I. Boundary-layer flow of a nano-fluid past a stretching sheet, International Journal of Heat and Mass Transfer 53 (2010) 2477–2483.
[17] M.Sheikholeslami, M.Gorji-Bandpy, D.D.Ganji S.Soleimani: Thermal management for free               convection of nanofluid using two phase model, Journal of Molecular Liquids 194(2014) 179–87
[18] M .Mahmood, S. Asghar, M.A.Hossain:Squeezed flow and heat transfer over a porous surface for viscous fluid, Heat Mass Transfer 44 (2007) 165–173
[19] G.Domairry, A .Aziz: Approximate analysis of MHD squeeze flow between two parallel disks with suction or injection by homotopy perturbation method, Hindawi Publishing Corporation Mathematical Problems in Engineering (2009).
[20] M.Mustafa, T.Hayat, S.Obaidat: On heat and mass transfer in the unsteady squeezing flow between parallel plates, Meccanica 47(2012)1581–1589.

Files

Share

How to cite

Statistics