Further Evaluation of Squeezing Flow and Heat Transfer of non-Newtonian Fluid with Nanoparticles Conveyed through Vertical Parallel Plates

Document Type : Research Article


1 Department of Mechanical Engineering, Faculty of Engineering, University of Lagos, Lagos, Nigeria

2 Department of Mechanical Engineering, College of Engineering, Igbinedion University Okada, Benin, Nigeria


In this paper, the study of squeezing flow of sodium alginate (SA) a non-Newtonian fluid whose rate of shear is not constant with viscosity flows through a medium transporting nanoparticles of silver (Ag) and Alumina (Al2O3). The flow medium is a flat parallel plate arranged vertically against each other under steady flow condition. As the flow process arising from the mechanics can be described by ordinary nonlinear differential equation, the Adomian decomposition method been an effective, yet simple method is adopted to analyze the non-linear differential equation. This is used to investigate effect of squeezing flow and heat transfer on the nanofluid. Analytical results reported graphically depicts the effect of squeezing flow on heat transfer utilizing silver nanoparticles shows decreasing temperature distribution for plates coming together while as plates moves apart temperature distribution decreases further. Similar trend is observed adopting the alumina nanoparticle. However the silver nanoparticle having better thermal properties compared with alumina demonstrates higher heat transfer rate due to effect of varying fluid kinematic viscosity on heat exchange. Results generated from the study when compared with existing literature are in good agreement. Therefore study proves a good emphasis for the improvement of sodium alginate transport in biomedical, pharmaceuticals, manufacturing and chemical processes amongst others. 


Main Subjects

[1] D.D. Ganji, S.H. Hashemi Kachapi, Analysis of nonlinear equations in fluids, Asian Academic Publisher Ltd, Hong Kong, 2011.
[2] Z. Ziabakhsh, G. Domairry, Analytic solution of natural convection flow of a non-Newtonian fluid between two vertical flat plates using homotopy analysis method, Communication nonlinear Science Numerical Simulation, 14,(2009) 1868-1880.
[3] M. Mustafa, T. Hayat, S. Obadiat, On heat and mass transfer in an unsteady squeezing flow between parallel plates, Mechanica, 47(2012) 1581-1589.
[4] A.M. Siddiqui, S. Irium, A.R. Ansari, Unsteady squeezing flow of viscous MHD fluid between parallel plates, Mathematical Modeling Analysis, 13 (2008) 565-576.
[5] S.O. Adesanya, J.A. Falade, Thermodynamic analysis of hydro magnetic third grade fluid flow through a channel filled with porous medium, Alexandria Engineering Journal, 14 (2015) 615-622.
[6] H.A. Hoshyar, D.D. Ganji, A.R. Borranc, M. Falahatid, Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method, Latin American Journal of Solids and
structures, 12 (2015) 1859-1869.
[7] T.G. Myers, J.P.F. Charprin, M.S. Tshehia, Flow of a variable viscosity fluid between parallel plates with shear heating, Applied Mathematical Modeling, 30 (2006) 799-815.
[8] A. Kargar, M. Akbarzade, Analytical solution of Natural convection Flow of a non-Newtonian between two vertical parallel plates using the Homotopy Perturbation Method, World Applied Sciences Journal, 20 (2012) 1459-1465.
[9] M. Hatami, D.D. Ganji, Heat transfer and fluid flow analysis of SA-TiO2 non-Newtonian nanofluid passing through porous media between two coaxial cylinder, Journal of Molecular Liquids, 188 (2013) 155-161.
[10] M. Hatami, D.D. Ganji, Natural convection of sodium alginate (SA) non-Newtonian nanofluid flow between two vertical flat plates by analytical and numerical methods, Thermal Engineering, 2 (2014) 14-22.
[11] M. Hatami, J. Hatami, M. Jafayar, G. Domairry, Differential transformation method for Newtonian and non-Newtonian fluid analysis: Comparison with HPM and numerical solution, Journal of Brazillian Society of Mechanical Science and Engineering, DOI 10.1007/s40430-014-0275-3.
[12] A.R. Ahmadi, A. Zahmatkesh, M. Hatami, D.D. Ganji , Comprehensive analysis of the flow and heat transfer for nanofluid over an unsteady stretching flat plate, Powder Technology, 258 (2014) 125-133.
[13] M. Sheikholeslami, D.D. Ganji, H.R. Ashorynejad, Investigation of squeezing unsteady nanofluid flow using ADM, Powder Technology, 239 (2013) 259-265.
[14] M. Sheikholeslami, M.M. Rashidi, D.M. Alsaad, H.B. Rokni, Steady nanofluid flow between parallel plates considering thermophoresis and Brownian effects, Journal of King Saud University Science, DOI:10.1016/j.jkus.2015.06.003 ,2015.
[15] O. Pourmehran, M. Rahimi-Gorji, M. Gorji-Bandpy, D.D. Ganji, Analytical investigation of squeezing unsteady nanofluid flow between parallel plates by LSM and CM, Alexandria Engineering Journal, 54 (2015) 17-26.
[16] A. Mandy, Unsteady mixed convection boundary layer flow and heat transfer of nanofluid due to stretching sheet, Nuclear Engineering, 249 (2012) 248-255.
[17] M.A.A. Hamad, I. Pop, M.A.I. Ismail, Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite plate, Nonlinear Analysis Real World Application, 12 (2011) 1338-1346.
[18] G. Domairry, M. Hatami, Squeezing Cu-water nanofluid flow analysis between parallel plates by DTM-Pade Method, Journal of Molecular Liquids, 188 (2014) 155-161.
[19] A.A. Afify, M. Abdel-Azizi, Lie group analysis of flow and heat transfer of non-Newtonian nanofluid, Pramana Journal of Physics, 31 (2017) 88-104.
[20] M. Sheikholeslami, S. Abelman, Two phase simulation of nanofluid flow and heat transfer in an annulus in the presence of an axial magnetic field, IEEE transaction on nanotechnology,14 (2015) 561-566.
[21] A.G. Madaki, R. Roslan, M. Mohamed, M.G. Kamardan, Analytical solutions of squeezing unsteady nanofluid flow in the presence of thermal radiation, Journal of Computer Science and Computational Mathematics, 6 (2016) 451-463.
[22] A.T. Akinshilo, J.O. Olofinkua, O. Olaye, Flow and Heat Transfer Analysis of Sodium Alginate Conveying Copper Nanoparticles between Two Parallel Plates, Journal of applied and computational mechanics,DOI:10.22055/jacm.2017.21514.1105 ,2017.
[23] U. Filobello-Niño, H. Vazquez-Leal, K. Boubaker, Y. Khan, A. Perez-Sesma, A. Sarmiento Reyes, V.M. Jimenez-Fernandez, A. Diaz-Sanchez, A. Herrera-May, J. Sanchez-Orea K. Pereyra-Castro, Perturbation Method as a Powerful Tool to Solve Highly Nonlinear Problems: The Case of Gelfand’s Equation, Asian Journal of Mathematics and Statistics, DOI: 10.3923 /ajms, 2013.
[24] C.W. Lim, B.S. Wu, A modified Mickens procedure for certain non-linear oscillators, Journal of Sound and Vibration , 257 (2002) 202-206.
[25] Y.K. Cheung, S.H. Chen, S.L. Lau , Modified Lindsteadt-Poincare method for certain strongly non-linear oscillators, International Journal of Non-Linear Mechanics, 26 (1991) 367-378.
[26] G. Domairry, M. Fazeli, Homotopy analysis method to determine the fin efficiency of convective straight fin with temperature dependent thermal conductivity, Communication in Nonlinear Science and Numerical Simulation, 14 (2009) 489-499.
[27] S.B. Cosun, M.T. Atay, Fin efficiency analysis of convective straight fin with temperature dependent thermal conductivity using variational iteration method, Applied Thermal Engineering, 28 (2008) 2345-2352.
[28] E.M. Languri, D.D Ganji,N. Jamshidi, Variational iteration and homotopy perturbation methods for fin efficiency of convective straight fins with temperature dependent thermal conductivity, 5th WSEAS International Conference on Fluid Mechanics, Acapulco, Mexico, 2008.
[29] A.T. Akinshilo, O. Olaye, On the analysis of the Erying Powell model based fluid flow in a pipe with temperature dependent viscosities and internal heat generation, Journal of King Saud-Engineering Sciences, DOI:10.1016/j.ksues.2017.09.001,2017.
[30] A.T. Akinshilo , O. Olaye, On the Slip Effects for Squeezing MHD Flow of a Casson Fluid between Parallel Disks, Journal of Applied and Computational Mechanics,DOI:10.22055/JACM.2017.24270.1177,2017.
[31] W. Hassan, H. Sajjad, S. Humaira, K. Shanila, MHD forced convection flow past a moving boundary surface with prescribed heat flux and radiation, British Journal of Mathematics and Computer Science, 21 (2017) 1-14.
[32] R.N. Bank, G.C. Dash, Chemical reaction effect on peristaltic motion of micropolar fluid through a porous
medium with heat absorption the presence of magnetic field, Advances in Applied Science Research, 6 (2015) 20-34.
[33] S.A. Mekonnen, T.D. Negussie, Hall effect and temperature distribution on unsteady micropolar fluid flow in a moving wall, International Journal of Science Basic and Applied Research, 24 (2015) 60-75.
[34] K.S. Mekheir, S.M. Mohammed, Interaction of pulsatile flow on peristaltic motion of magnetomicropolar fluid through porous medium in a flexible channel: Blood flow model, International Journal Pure and Applied Mathematics, 94 (2014) 323-339.
[35] M. Pour, S. Nassab, Numerical investigation of forced laminar convection flow of nanofluid over a backward facing step under bleeding condition, Journal of Mechanics, 28 (2) (2012) 7-12, doi:10.1017/jmech.2012.45, 2012.
[36] M. Hatami, D. Jing, Differential transformation method for Newtonian and non-Newtonian nanofluid flow analysis: compared to numerical solution, Alexander Engineering Journal, 55 (2016) 731-739.
[37] Y. Aksoy, M. Pakdermirli, Approximate analytical solutions for flow of a third grade fluid through a parallel plate channel filled with a porous medium, Transport Porous Media, 83 (2010) 375-395.
[38] A.T. Akinshilo, Flow and heat transfer of nanofluid with injection through an expanding or contracting porous channel under magnetic force field, Engineering Science and Technology, an International Journal, 21 (2018) 486-494.
[39] A.T. Akinshilo, Steady Flow and Heat Transfer Analysis of Third Grade Fluid with Porous Medium and Heat Generation, Journal of Engineering Science and Technology, 20 (2017) 1602-1609.