ORIGINAL PAPER
Slip effects on squeezing flow of nanofluid between two parallel disks
K. Das 1
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1
Department of Mathematics, A.B.N. Seal College, Cooch Behar, Pin-736101, INDIA
 
2
Department of Mathematics, Jadavpur University, Kolkata 70003, INDIA
 
3
Department of Mathematics, P.R. Thakur Govt. College Gaighata, 24 Pgs(N), W.B., INDIA
 
 
Online publication date: 2016-03-07
 
 
Publication date: 2016-02-01
 
 
International Journal of Applied Mechanics and Engineering 2016;21(1):5-20
 
KEYWORDS
ABSTRACT
In this study, the influence of temperature and wall slip conditions on the unsteady flow of a viscous, incompressible and electrically conducting nanofluid squeezed between two parallel disks in the presence of an applied magnetic field is investigated numerically. Using the similarity transformation, the governing coupled partial differential equations are transformed into similarity non-linear ordinary differential equations which are solved numerically using the Nachtsheim and Swigert shooting iteration technique together with the sixth order Runge-Kutta integration scheme. The effects of various emerging parameters on the flow characteristics are determined and discussed in detail. To check the reliability of the method, the numerical results for the skin friction coefficient and Nusselt number in the absence of slip conditions are compared with the results reported by the predecessors and an excellent agreement is observed between the two sets of results.
 
REFERENCES (30)
1.
Stefan M.J. (1874): Versuch über die scheinbare Adhäsion, Sitzungsber. – Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl., vol.69, pp.713–721.
 
2.
Rashidi M.M., Shahmohamadi H. and Dinarvand S. (2008): Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates. – Mathematical Problems in Engineering, vol.2008, pp.935095.
 
3.
Siddiqui A.M., Irum S. and Ansari A.R. (2008): Unsteady squeezing flow of a viscous MHD fluid between parallel plates. – Mathematical Modelling and Analysis, vol.13, pp.565–576.
 
4.
Domairry G. and Aziz A. (2009): Approximate analysis of MHD Squeeze flow between two parallel disks with suction or injection by homotopy perturbation method. – Mathematical Problems in Engineering, vol.2009, pp.603916.
 
5.
Haya T., Yousaf A., Mustafa M. and Obaidat S. (2011): MHD squeezing flow of second-grade fluid between two parallel disks. – International Journal of Numerical Method in Fluids, vol.69, pp.399-410.
 
6.
Mustafa M., Hayat T. and Obaidat S. (2012): On heat and mass transfer in the unsteady squeezing flow between parallel plates. – Meccanica, vol.47, pp.1581-1589.
 
7.
Choi S.U.S. (1995): Enhancing thermal conductivity of fluids with nanoparticles. – Devlopment and Applications of Non-Newtonian Flows, vol.66, pp.99-105.
 
8.
Choi S.U.S., Zhang Z.G., Yu W., Lockwood F.E. and Grulke E.A. (2001): Anomalously thermal conductivity enhancement in nanotube suspensions. – Applied Physics Letters, vol.79, pp.2252-2254.
 
9.
Buongiorno J. (2006): Convective transport in nanofluids. – ASME Journal of Heat Transfer, vol.128, pp.240-250.
 
10.
Kuznetsov A.J. and Nield N.D. (2010): Natural convective boundary layer flow of a nanofluid past a vertical plat. – International Journal of Thermal Sciences, vol.49, pp.243-247.
 
11.
Khan W.A. and Aziz A. (2011): Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux. – International Journal of Thermal Sciences, vol.50, pp.1207-1207.
 
12.
Khan W.A. and Aziz A. (2011): Double-diffuusive natural convective boundary layer flow in a porous medium saturated with a nanofluid over a vertical plate, prescribed surface heat, solute and nanoparticle fluxes. – International Journal of Thermal Sciences, vol.50, pp.2154-2160.
 
13.
Yao S., Fang T. and Zhong Y. (2011): Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions. – Communications in Nonlinear Science and Numerical Simulation, vol.16, pp.752-760.
 
14.
Makinde D. and Aziz A. (2011): Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. – International Journal of Thermal Sciences, vol.50, pp.1326-1332.
 
15.
Aziz A. and Khan W.A. (2012): Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate. – International Journal of Thermal Sciences, vol.52, pp.83-90.
 
16.
Hamad M.A.A. and Ferdows M. (2012): Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: A lie group analysis. – Communication in Nonlinear Science and Numerical Simulatation, vol.17, pp.132-140.
 
17.
Kandasamy R., Loganathanb P. and Puvi Arasub P. (2011): Scaling group transformation for MHD boundary-layer flow of a nanofluid past a vertical stretching surface in the presence of suction/injection. – Nuclear Engineering and Design, vol.241, pp.2053-2059.
 
18.
Hashmi M.R., Hayat T. and Alsaedi A. (): On the analytic solutions for squeezing flow of nanofluids between parallel disks. – Nonlinear analysis: Modelling and Control, vol.17, No.4, pp.418-430.
 
19.
Das K. (2013): Lie group analysis of stagnation point flow a nanofluid. – Microfluidics and Nanofluidics, vol.15, pp.267-274.
 
20.
Navier C.L.M.H. (1823): Mémoire sur les lois du mouvement des fluids. – Mém Acad Roy Sci Inst France, vol.6, pp.389-440.
 
21.
Shikhmurzaev Y.D. (1993): The moving contact line on a smooth solid surface. – International Journal of Multiphase Flow, vol.19, pp.589-610.
 
22.
Choi C.H., Westin J.A. and Breuer K.S. (2002): To slip or not to slip water flows in hydrophilic and hydrophobic microchannels. – In: Proceedings of IMECE 2002, New Orlaneas, LA, Paper No. 2002-33707.
 
23.
Martin M.J. and Boyd I.D. (2006): Momentum and heat transfer in a laminar boundary layer with slip flow. – Journal of Thermophysics and Heat Transfer, vol.20, No.4, pp.710-719.
 
24.
Matthews M.T. and Hill J.M. (2007): Nano boundary layer equation with nonlinear Navier boundary condition. – Journal of Mathematical Analysis and Application, vol.333, pp.381-400.
 
25.
Ariel P.D. (2007): Axisymmetric flow due to a stretching sheet with partial slip. – Computer and Mathematics with Applications, vol.54, pp.1169-1183.
 
26.
Wang C.Y. (2009): Analysis of viscous flow due to a stretching sheet with surface slip and suction. – Nonlinear Analysis: Real World Application, vol.10, No.1, pp.375-380.
 
27.
Das K. (2012): Impact of thermal radiation on MHD slip flow over a flate plate with variable fluid properties. – Heat Mass and Transfer, vol.48, pp.767-778.
 
28.
Das K. (2012): Slip effects on heat and mass transfer in MHD micropolar fluid flow over an inclined plate with thermal radiation and chemical reaction. – International Journal of Numerical Method in Fluids, vol.70, pp.96–11.
 
29.
Hussain A., Mohyud-Cheema S.T. and Din T.A. (2012): Analytical and Numerical Approaches to Squeezing Flow and Heat Transfer between Two Parallel Disks with Velocity Slip and Temperature Jump. – China Physics Letter, vol.29, pp.114705-1-5.
 
30.
Das K. (2012): Slip flow and convective heat transfer of nanofluids over a permeable stretching surface. – Computers and Fluids, vol.64, No.1, pp.34-42.
 
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ISSN:1734-4492
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