Abstract

Thermo-physical data of copper nanoparticles in water based nanofluid in cylindrical Couette flow regime was investigated. The governing momentum, energy and specie concentration equations were transformed into dimensionless form and a regular perturbation and approximation with Frobenius method were used and solutions obtained to determine the effect of some chosen material parameters in the presence and absence of Brownian motion. Analyses of the results show that an early onset of transition from Newtonian fluid to non-Newtonian fluid was observed when the Reynolds number is still within Newtonian fluid domain. Effect of the material parameters considered on the skin friction, rate of heat and mass transfer coefficients were discussed as well as calculation of mass flux, mean temperature and mean specie concentration of the copper nanofluid.

Keywords

References

[1] S. U. S Choi, Enhancing thermal conductivity of fluids with nanoparticle, in: D.A. Siginer, H.P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows. ASME FED.66 (1995), 99–105
[2] K. V. Wong, O. Deleon. Applications of nanofluids: Current and future, Advances in Mechanical Engineering 2 (2010), 519659
[3] A. K Singh, G. Harinadha, N. Kishore, P. Barua, T. Jain, P. Joshi. Mixed Convective Heat Transfer Phenomena of Circular Cylinders to Non-Newtinian Nanofluids Flowing Upward. Procedia Engineering 127 (2015), 118-125
[4] P. W Bearman, M. M Zdravkovich, Flow around a circular cylinder near a plane boundary, Journal of Fluid Mechanics 89 (1978), 33-47
[5] S. Taniguchi, K. Miyakochi, Fluctuating fluid forces acting on a circular cylinder and interference with a plane wall, Experiments in Fluids 9 (1990), 197-204
[6] C. F Lange, F. Durst, M. Breuer, Momentum and heat transfer from cylinders in laminar cross flow at 200Re104 , International Journal of Heat and Mass Transfer 410 (1998), 3409-3430
[7] M. Narahari, N. Alaparthi, I. Pop, Exact analysis of the transient free convection flow of nanofluids between two vertical parallel plates in the presence of radiation, (2017) https://doi.org/10.1002/cjce.22872
[8] W. A. Azhar, D. Vieru, C. Fetecau, Free convection flow of some fractional nanofluids over a moving vertical plate with uniform heat flux and hear source, Physics of Fluids 29 (2017), 082001
[9] A. K. Santra, S. Sen, N, Chakraborthy, Study of heat transfer due to laminar flow of copper-water nanofluid through two isothermally heated parallel plates, International Journal of Thermal Science 48 (2009), 391-400
[10] S. Sandip, G. Suvankar, D. Amaresh, Buoyancy driven flow and heat transfer of nanofluids past a square cylinder in vertically upward flow, International Journal of Heat and Mass Transfer 59 (2013), 433-450
[11] N. Ahmed, N. A. Shah, B. Ahmad, S. I. A. Shah, S. Ulhaq, M. Rahimi-Gorji, Transient MHD convective flow of fractional nanofluid between vertical plates, Journal of Applied Computational Mechanics 5(4) (2019) 592-602
[12] M. Turkyilmazoglu, Analytical solutions of single and multi phase models for the condessation of nanofluid film flow and heat transfer, European Journal of Mechanics-B/Fluids 53 (2015) 272-277
[13] P. Loganathan, P. N. Chand, P. Ganesan, Transient natural convective flow of a nanofluid past a vertical plate in the presence of heat generation, Journal of Applied Mechanics and Technology Physics 56 (2015), 433-442
[14] A. Hajizadeh, N. A. Shah, S. I. A. Shah, I. L. Animasaun, M. Rahimi-Gorji, I. M. Alarifi, Free convection flow of nanofluids between two vertical plates with thermal damp flux, Journal of Molecular Liquids 289 (2019), 110964
[15] Y. R. O. Reddy, M. S. Reddy, P. S. Reddy, A. J. Chamkha, Effect of Brownian motion and thermophoresis on heat and mass transfer flow over a horizontal circular cylinder filled with nanofluid, Journal of nanofluids 6(4) (2017), 702-710
[16] G. Sucharitha, S. Sreenadh, P. Lakshminarayana, K. Sushma, Brownian motion and thermophoresis effects on peristaltic slip flow of a MHD nanofluid in a symmetric/asymmetric channel, Materials Science and Engineering 263 (2017), 062025
[17] R. Kandasamy, I. Muhaimin, R. Mohamad, Thermophoresis and Brownianmotion effects on MHD boundary-layer flow of a nanofluid in the presence of thermal stratification due to solar radiation, Int. J. Mech. Sci. 70 (2013) 146–154, https://doi.org/10.1016/j.ijmecsci.2013.03.007.
[18] N. Anbuchezhian, K. Srinivasan, K. Chandrasekaran, R. Kandasamy, Thermophoresis and Brownian motion effects on boundary layer flow of nanofluid in presence of thermal stratification due to solar energy, Appl. Math. Mech. 33 (6) (2012) 765–780, https://doi.org/10.1007/s10483-012-1585-8.
[19] Y. Xuan, Q. Li, and W. Hu, Aggregation structure and thermal conductivity of nanofluids. AIChE Journal, (2003). 49(4), 1038–1043
[20] S. K. Das, N. Putta, P.Thiesen, and W. Roetzel, Temperature dependence of thermal conductivity enhancement for nanofluids. ASME Transnational Journal of Heat Transfer, (2003). 125, 567–574
[21] D. H. Kumar, H. E.Patel, V. R. R. Kumar, T Sundararajan, T. Pradeep, and S. K. Das, Model for heat conduction in nanofluids. Physical Review Letters, (2004). 93(14): 144,301–1–144,301–4
[22] P. Bhattacharya, S. K. Saha, A. Yadav, P. E. Phelan, and R. S. Prasher, Brownian dynamics simulation to determine the effective thermal conductivity of nanofluids. Journal of Applied Physics, (2004). 95(11): 6492–6494
[23] N. B. Reddy, T. Poornima, P. Sreenivasulu, Radiative heat transfer effect on MHD slip flow of dissipating nanofluid past an exponential stretching porous sheet, International Journal of Pure and Applied Mathematics 109 (9) (2016) 134–142
[24] P. Sreenivasulu, T. Poornima, N. Bhaskar Reddy, Thermal radiation effects on MHD boundary layer slip flow past a permeable exponential stretching sheet in the presence of joule heating and viscous dissipation, Journal of Applied Fluid Mechanics 9(1) (2016) 267–278.
[25] M. Tamoor, MHD convective boundary layer slip flow and heat transfer over nonlinearly stretching cylinder embedded in a thermally stratified medium, Results in Physics 7 (2017) 4247–4252, https://doi.org/10.1016/j.rinp.2017.07.064.
[26] S. K. Parida, S. Panda, B. R. Rout, MHD boundary layer slip flow and radiative nonlinear heat transfer over a flat plate with variable fluid properties and thermophoresis, Alexandria Engineering Journal 54 (4) (2015) 941–953, https://doi.org/10.1016/j.aej.2015.08.007.
[27] M. K. Nayak , Shaw S., Chamkha A.J, Impact of variable magnetic field and convective boundary condition on a stretched 3D radiative flow of Cu-H2O nanofluid, AMSE Journals-AMSE IIETA Publication-2017-Series: Modelling B; 86, 3, 2018, 658–678.
[28] Z. Abbas, M. Naveed, M. Sajid, Hydromagnetic slip flow of nanofluid over a curved stretching surface with heat generation and thermal radiation, Journal of molecular Liquids 215 (2016) 756–762
[29] B. Souayeh, M. G. Reddy, P. Sreenivasulu, T. Poornima, M. Rahimi-Gorji, I.M. Alarifi, Comparative analysis on non-linear radiative heat transfer on MHD Casson nanofluid past a thin needle, Journal of Molecular Liquids 284 (2019) 163–174
[30] A. T. Ngiangia, M.A Orukari MHD Couette-Poiseuille Flow in a Porous Medium, Global Journal of Pure and Applied Mathematics. 9(2) (2013), 169-181
[31] A. C. Cogley, A. W. Vincenti, E. S. Giles, . Differential Approximation of a Radiative Heat Transfer. The American Institute of Aeronautics and Astronautics. 6 (1968), 551–553
[32] R. L. Hamilton, O. K. Crosser, Thermal conductivity of heterogeneous two component systems. Industrial Engineering and Chemistry Fundamentals 1(3) (1962), 187-191.
[33] J. Koo, C. Kleinstreuer, A new thermal conductivity model for nanofluids. Journal of Nanoparticle Research, 6(6) (2004), 577–588
[34] J. Koo, C. Kleinstreuer, Laminar nanofluid flow in micro-heat sinks. International Journal of Heat and Mass Transfer, 48(13): (2005), 2652–2661
[35] A. T. Ngiangia, P. O. Nwabuzor, Investigation of Heat Transfer Characteristics of Spherical Copper and Alumina Nanoparticles in Water and Ethylene glycol Based Fluids, (Submitted)
[36] R. K, Tiwari, M. K. Das, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. International Journal of Heat and Mass Transfer. 50 (2007), 9-10.
[37] K. Asma, I. Khan, S. Sharidan, Exact solution for free convecton flow of nanofluids with ramped wall temperature. The European Physical Journal-Plus 130 (2015), 57-71.
[38] G. Aaiza, I. Khan, S. Shafie Energy transfer in mixed convection MHD flow of nanofluid containing different shapes of nanoparticles in a channel filled with saturated porous medium. Nanoscale Research Letters. 10 (490) (2015). 1-14.
[39] A.T. Ngiangia, N. N. Akaezue, Heat Transfer of Mixed Convection Electroconductivity Flow of Copper Nanofluid with Different Shapes in a Porous Micro Channel Provoked by Radiation and First Order Chemical Reaction. Asian Journal of Physical and Chemical Sciences 7(1) (2019), 1-14.
[40] B. D.Gupta, Mathematical Physics (Third Revised Edition). Viskas Publishing House PVT LTD, New Delhi (2005).
[41] M. D. Raisinghania, Advanced Differential Equations (Fourteenth Revised Edition). S.Chand and Company LTD. New Delhi (2011)