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Unsteady Free Convection Flow of a Nanofluid Over a Moving Vertical Plate with Constant Heat and Mass Flux


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DOI: https://doi.org/10.15866/ireme.v16i1.21720

Abstract


An analysis is executed to study the unsteady free convection flow of a nanofluid over a moving vertical plate in the presence of heat and mass flux. Heat and mass transfer effects in the nano fluid are taken into account. The governing partial non-linear differential equations associated with boundary conditions are transformed by dimensionless quantities into ordinary differential equations. The Laplace transform method is used to get the solution of the non-dimensional linear boundary layer equations. Calculations are made on the different kinds of parameter values that describe the flow problem and flow characteristics. The effects of different dimensionless parameters such as Prandtl, Grashof, Schmidt numbers and time on velocity, temperature and concentration are obtained in the respective boundary layers. The results were influenced by many features of nanoparticles, such as size, kind of nanoparticles, and base fluid temperature, which influenced the results. The nanofluids which contain nanoparticles of silver, copper, aluminium oxide, and titanium oxide using water as the base fluid are being investigated. Also, skin friction is discussed through tables.
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Keywords


Heat flux; Laplace Transform; Mass Flux; Nanofluid; Unsteady; Vertical Plate

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References


S. U. S. Choi, and J. Eastman, Enhancing Thermal Conductivity of Fluids with Nanoparticles, Proc. of the ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, 1995, pp. 99-105.

Yimin Xuan, Qiang Li, Heat transfer enhancement of nanofluids, International Journal of Heat and Fluid Flow, Vol. 21, pp. 58-64, 2000.
https://doi.org/10.1016/S0142-727X(99)00067-3

J. Boungiorno, Convective transport in nanofluids, Journal of Heat Transfer, Vol. 128, pp. 240-250, 2006.
https://doi.org/10.1115/1.2150834

J. Eastman, S. U. S. Choi, S. Lib, W. Yu, L. J. Thompson, Anomalously Increased Effective Thermal Conductivities of Ethylene Glycol-Based Nanofluids Containing Copper Nanoparticles, Applied Physics Letters, Vol. 78, No. 6, pp. 718-720, 2001.
https://doi.org/10.1063/1.1341218

Sarit Kumar Das, S. U. S. Choi, Hrishikesh E. Patel, Heat Transfer in Nanofluids-A Review, Heat Transfer Engineering, Vol. 27, No. 10, pp. 3-19, 2007.
https://doi.org/10.1080/01457630600904593

Guannan Wang, Zhen Zhang, Ruijin Wang, Zefei Zhu, A Review on Heat Transfer of Nanofluids by Applied Electric Field or Magnetic Field, Nanomaterials, Vol.10, No. 2386, 2020.
https://doi.org/10.3390/nano10122386

S. Kakac, A. Pramuanjaroenkij, Review of Convective Heat Transfer, Enhancement with Nanofluids, International Journal of Heat and Mass Transfer, Vol. 52, pp. 3187-3196, 2009.
https://doi.org/10.1016/j.ijheatmasstransfer.2009.02.006

X. Q. Wang, A. S. Majumdar, Heat Transfer Characteristics of Nanofluids: A Review, International Journal of Thermal Science, Vol. 46, pp. 1-19, 2007.
https://doi.org/10.1016/j.ijthermalsci.2006.06.010

A. V. Kuznetsov, D. A. Nield, Natural Convective Boundary- Layer Flow of a Nanofluid Past a Vertical Plate, International Journal of Thermal Sciences, Vol. 49, No. 2, pp. 243-247, 2010.
https://doi.org/10.1016/j.ijthermalsci.2009.07.015

A. J. Chamkha, A. M. Aly, MHD Free Convection Flow of a Nanofluid Past a Vertical Plate in the Presence of Heat Generation or Absorption Effects, Chemical Engineering Communications, Vol. 198, No. 3, pp. 425-441, 2010.
https://doi.org/10.1080/00986445.2010.520232

M. Turkyilmazoglu, Unsteady Convection Flow of Some Nanofluids Past a Moving Vertical Flat Plate With Heat Transfer, Journal of Heat Transfer, Vol. 136, No. 3, 2014.
https://doi.org/10.1115/1.4025730

V. Rajesh, A. J. Chamkha and M. P. Mallesh, Transient MHD Free Convection Flow and Heat Transfer of Nanofluid past an Impulsively Started Semi-Infinite Vertical Plate, Journal of Applied Fluid Mechanics, Vol. 9, No. 5, pp. 2457-2467, 2016.
https://doi.org/10.18869/acadpub.jafm.68.236.23443

S. Das, R. N. Jana, Natural Convective Magneto-Nanofluid Flow and Radiative Heat Transfer Past a Moving Vertical Plate, Alexandria Engineering Journal, Vol. 54, No. 1, pp. 55-64, 2015.
https://doi.org/10.1016/j.aej.2015.01.001

Abdul Rauf & Yasir Mahsud, Unsteady two-dimensional flows of a nanofluid over a vertical plate with time-exponential temperature, Arab Journal of Basic and Applied Sciences, Vol. 25, n. 3, pp. 150-157, 2018.
https://doi.org/10.1080/25765299.2018.1524343

A. Mahdy , E. R. El-Zahar , A. M. Rashad, W. Saad and H. S. Al-Juaydi, The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium, Fluids, MDPI, Vol. 6, No. 202, pp. 1-16, 2021.
https://doi.org/10.3390/fluids6060202

Aneela Bibi, Hang Xu, Qiang Sun, Ioan Pop, Qingkai Zhao, Free convection of a hybrid nanofluid past a vertical plate embedded in a porous medium with anisotropic permeability, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22, No. 8, pp. 4083-4101, 2019.
https://doi.org/10.1108/HFF-10-2019-0799

Shobha Poovani Jeevandhar, Vidya Kedla , Neeraja Gullapalli, Sravan Kumar Thavada, Natural Convective Effects on MHD Boundary Layer Nanofluid Flow over an Exponentially Accelerating Vertical Plate, Biointerface Research in Applied Chemistry, Vol. 11, No. 6, pp. 13790 - 13805, 2021.
https://doi.org/10.33263/BRIAC116.1379013805

H. Astutia, P. Srib, S. Kaprawia, Natural Convective of Nanofluids past an accelerated Vertical plate with Variable Wall temperature by presence of the Radiation, Frontiers in Heat and Mass Transfer, Vol. 13, No. 3 pp. 1-18, 2019.
https://doi.org/10.5098/hmt.13.3

W. A. Khan, A. Aziz, Natural Convection Flow of a Nanofluid over a Vertical Plate with Uniform Surface Heat Flux, International Journal of Thermal Sciences, Vol. 50, No. 7, pp. 1207-1214, 2011.
https://doi.org/10.1016/j.ijthermalsci.2011.02.015

M. Narahari, L. Debnath, Unsteady Magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption, ZAMM Journal of Applied Mathematics and Mechanics, Vol. 93, No. 1, pp. 38 - 49, 2013.
https://doi.org/10.1002/zamm.201200008

P. Chandrakala, Thermal Radiation Effects on Moving Infinite Vertical Plate with Uniform Heat Flux, International Journal of Dynamics of Fluids, Vol. 6, n. 1, pp. 49-55, 2010.

Al Faqih, F., Swalmeh, M., Ibrahim, S., Bani Saeed, H., Alkasasbeh, H., Al Sarairah, E., Study of the MHD Flow of Casson Nanofluid in the Presence of Oxides Nanoparticles Based C2H6O2/H2O Under Constant Heat Flux Boundary Condition, (2021) International Review of Mechanical Engineering (IREME), 15 (3), pp. 149-156.
https://doi.org/10.15866/ireme.v15i3.20428

S. Das, R. N. Jana and A. J. Chamkha, Unsteady Free Convection Flow past a Vertical Plate with Heat and Mass Fluxes in the Presence of Thermal Radiation, Journal of Applied Fluid Mechanics, Vol. 8, No. 4, pp. 845-854, 2015.
https://doi.org/10.18869/acadpub.jafm.67.223.23265

P. Ganesan, G. Palani, Finite difference analysis of unsteady natural convection MHD flow past an inclined plate with variable surface heat and mass flux, International Journal of Heat and Mass Transfer, Vol. 47, pp. 4449-4457, 2004.
https://doi.org/10.1016/j.ijheatmasstransfer.2004.04.034

Loganathan, P., Vimala, C., Effects of Radiation and Magnetic Field on Unsteady Boundary Layer Flow of a Nanofluid Past an Exponentially Stretching Sheet in the Presence of Heat Source/Sink, (2013) International Review of Mechanical Engineering (IREME), 7 (7), pp. 1291-1298.

N. A. Shah, T. Elnaqeeb, S. Wang, Effects of Dufour and Fractional Derivative on Unsteady Natural Convection Flow over an Infinite Vertical Plate with Constant Heat and Mass Fluxes, Computational and Applied Mathematics, Vol. 37, No. 4, pp. 4931-4943, 2018.
https://doi.org/10.1007/s40314-018-0606-6

Abdulrazzaq, T., Homod, R., Togun, H., Augmentation of Heat Transfer and AL2O3-Nanofluid Flow Over Vertical Double Forward-Facing Step (DFFS), (2021) International Review on Modelling and Simulations (IREMOS), 14 (3), pp. 194-203.
https://doi.org/10.15866/iremos.v14i3.20174

Vlasov, A., Gudoshnikov, I., Zhalnin, V., Kadyr, A., Shaknov, V., Fatkhutdinov, T., Synthesis of Memristive Structures Based on Composite Oxides with Agglomerates of Nanoparticles, (2021) International Journal on Engineering Applications (IREA), 9 (4), pp. 200-208.
https://doi.org/10.15866/irea.v9i4.19793

Ababneh, A., Albiss, B., Lafi, T., Effect of Synthesized Calcium Carbonate Nanoparticles on Fresh and Mechanical Properties of High Volume Natural Pozzolan Mortars, (2019) International Review of Civil Engineering (IRECE), 10 (2), pp. 85-93.
https://doi.org/10.15866/irece.v10i2.15620


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