Generic placeholder image

Current Nanoscience

Editor-in-Chief

ISSN (Print): 1573-4137
ISSN (Online): 1875-6786

Research Article

Analysis of Arrhenius Activation Energy and Chemical Reaction in Nanofluid Flow and Heat Transfer Over a Thin Moving Needle

Author(s): I. Sadham Hussain, D. Prakash, Bahaaeldin Abdalla and M. Muthtamilselvan*

Volume 19, Issue 1, 2023

Published on: 14 January, 2022

Page: [39 - 48] Pages: 10

DOI: 10.2174/1573413717666211117150656

Price: $65

Abstract

Objective: A numerical and theoretical study is developed to analyze the combined effect of activation energy and chemical reaction in the flow of nanofluids due to the thin moving needle using the mathematical nanofluid model offered by Buongiorno. A passively controlled nanoparticle volume fraction boundary is assumed rather than actively controlled.

Methods: A similarity transformation is utilized to convert the governing partial differential equations to a set of ordinary differential equations which are then solved numerically by Runge-Kutta Shooting Method (RKSM). The physical characteristics of flow, heat and mass transfer are illustrated via graphs and tables for some set of values of governing parameters.

Results: In addition, the basic non-linear governing equations are solved analytically using semianalytical technique called Differential transform method (DTM) and the comparison has been made with the numerical and the published results.

Conclusion: The present study reveals that the ratio between the needle velocity and the composite velocity brings out to increases the velocity distribution with λ<0. Moreover, the activation energy influences the chemical species to react from the thickness of the concentration layer η=0.6 and the fraction of nanoparticles to the fluid is significantly more away from the needle surface.

Keywords: Nanofluid, activation energy, thin moving needle, brownian motion, thermophoresis, nanoparticles.

Graphical Abstract

[1]
Choi, S.U.S. Enhancing thermal conductivity of fluids with nanoparticles.Developments and Applications of Non-Newtonian Flows; Siginier, D.A; Wang, H.P, Eds.; ASME FED, 1995, 231, pp. 99-105.
[2]
Kang, H.U.; Kim, S.H.; Oh, J.M. Estimation of thermal conductivity of nanofluid using experimental effective particle volume. Exp. Heat Transf., 2006, 19, 181-191.
[http://dx.doi.org/10.1080/08916150600619281]
[3]
Buongiorno, J. Convective transport in nanofluids. ASME J. Heat Transf., 2006, 128, 240-250.
[http://dx.doi.org/10.1115/1.2150834]
[4]
Kuznetsov, A.V.; Nield, D.A. Natural convective boundary layer flow of a nanofluid past a vertical plate. Int. J. Therm. Sci., 2010, 49, 243-247.
[http://dx.doi.org/10.1016/j.ijthermalsci.2009.07.015]
[5]
Ibrahim, W.; Shankar, B. MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions. Comput. Fluids, 2013, 75, 1-10.
[http://dx.doi.org/10.1016/j.compfluid.2013.01.014]
[6]
Muthtamilselvan, M.; Prakash, D. Unsteady hydromagnetic slip flow and heat transfer of nanofluid over a moving surface with prescribed heat and mass fluxes. Proc I. Mech E Part C. J. Mech. Eng. Sci., 2015, 229, 703-715.
[http://dx.doi.org/10.1177/0954406214538010]
[7]
Kalaivanan, R.; Vishnu Ganesh, N.; Qasem, M. An investigation on Arrhenius activation energy of second grade nanofluid flow with active and passive control of nanomaterials. Case Stud. Therm. Eng., 2020, 22, 100774.
[http://dx.doi.org/10.1016/j.csite.2020.100774]
[8]
Renuka, A.; Muthtamilselvan, M.; Qassem, M. Al-Mdallal, D.H. Doh, Bahaaeldin A. Unsteady separated stagnation point flow of nanofluid past a moving flat surface in the presence of buongiorno’s model. J. Appl. Comput. Mech., 2021, 7(3), 1283-1290.
[http://dx.doi.org/10.22055/jacm.2020.32261.1992]
[9]
Qasem, M. Al-Mdallal, A. Renuka, M. Muthtamilselvan, Bahaaeldin Abdalla Ree-Eyring fluid flow of Cu-water nanofluid between infinite spinning disks with an effect of thermal radiation. Ain Shams Eng. J., 2021, 12(3), 2947-2956.
[http://dx.doi.org/10.1016/j.asej.2020.12.016]
[10]
Hayat, T.; Riaz, R.; Aziz, A.; Alsaedi, A. Influence of Arrhenius activation energy in MHD flow of third grade nanofluid over a nonlinear stretching surface with convective heat and mass conditions. Physica A, 2020, 549, 124006.
[http://dx.doi.org/10.1016/j.physa.2019.124006]
[11]
Khan, M. Ijaz; Khan, M.W.A.; Alsaedi, A.; Hayat, T.; Khan, Imran M. Entropy generation optimization in flow of non-Newtonian nanomaterial with binary chemical reaction and Arrhenius activation energy.Stat. Mech. Appl; , 2020, 538, p. 122806.
[12]
Waqas, M.; Jabeen, S.; Hayat, T.; Shehzad, S.A.; Alsaedi, A. Numerical simulation for nonlinear radiated Eyring-Powell nanofluid considering magnetic dipole and activation energy. Int. Commun. Heat Mass Transf., 2020, 112, 104401.
[http://dx.doi.org/10.1016/j.icheatmasstransfer.2019.104401]
[13]
Asma, M.; Othman, W.A.M.; Muhammad, T. Numerical study for Darcy-Forchheimer flow of nanofluid due to a rotating disk with binary chemical reaction and Arrhenius activation energy. Mathematics, 2019, 7, 921.
[http://dx.doi.org/10.3390/math7100921]
[14]
Asma, M.; Othman, W.A.M.; Muhammad, T.; Mallawi, F.; Wong, B.R. Numerical study for magneto hydrodynamic flow of nanofluid due to a rotating disk with binary chemical reaction and Arrhenius activation energy. Symmetry (Basel), 2019, 11, 1282.
[http://dx.doi.org/10.3390/sym11101282]
[15]
Hayat, T.; Aziz, A.; Muhammad, T.; Alsaedi, A. Effects of binary chemical reaction and Arrhenius activation energy in Darcy-Forchheimer three-dimensional flow of nanofluid subject to rotating frame. J. Therm. Anal. Calorim., 2019, 136, 1769-1779.
[http://dx.doi.org/10.1007/s10973-018-7822-6]
[16]
Hayat, T.; Khan, S.A.; Ijaz Khan, M.; Alsaedi, A. Theoretical investigation of Ree-Eyring nanofluid flow with entropy optimization and Arrhenius activation energy between two rotating disks. Comput. Methods Programs Biomed., 2019, 177, 57-68.
[http://dx.doi.org/10.1016/j.cmpb.2019.05.012] [PMID: 31319961]
[17]
Lee, L.L. Boundary layer over a thin needle. Phys. Fluids, 1967, 10, 820-822.
[http://dx.doi.org/10.1063/1.1762194]
[18]
Cebeci, T.; Na, T.Y. Laminar free convection heat transfer from a needle. Phys. Fluids, 1969, 12, 463-465.
[http://dx.doi.org/10.1063/1.1692503]
[19]
Grosan, T.; Pop, I. Forced convection boundary layer flow past non isothermal thin needles in nanofluids. J. Heat Transfer, 2011, 133, 054503-054507.
[http://dx.doi.org/10.1115/1.4003059]
[20]
Ahmad, R.; Mustafa, M. Buongiorno’s model for fluid flow around a moving thin needle in a flowing nanofluid: a numerical study. Chin. J. Phys., 2017, 55, 1264-1274.
[http://dx.doi.org/10.1016/j.cjph.2017.07.004]
[21]
Afridi, M.I.; Qasim, M. Entropy generation and heat transfer in boundary layer flow over a thin needle moving in a parallel stream in the presence of nonlinear Rosseland radiation. Int. J. Therm. Sci., 2018, 123, 117-128.
[http://dx.doi.org/10.1016/j.ijthermalsci.2017.09.014]
[22]
Salleh, S.N.A.; Bachok, N.; Arifin, N.M.; Ali, F.M. Slip effect on mixed convection flow past a thin needle in nanofluid using Buongiorno’s model. J. Adv. Res. Fluid Mech. Thermal Sci., 2019, 59, 243-253.
[23]
Zhou, J.K. Differential transformation and its applications for electrical circuits; Huazhong Univ. Press: Wuhan, China, 1986.
[24]
Ishak, A.; Nazar, R.; Pop, I. Boundary layer flow over a continuously moving thin needle in a parallel free stream. Chin. Phys. Lett., 2007, 24, 2895-2897.
[http://dx.doi.org/10.1088/0256-307X/24/10/051]
[25]
Chen, J.L.S.; Smith, T.N. Forced convection heat transfer from non-isothermal thin needles. J. Heat Transfer, 1978, 100, 358-362.
[http://dx.doi.org/10.1115/1.3450809]
[26]
Prakash, D.; Muthtamilselvan, M.; Doh, D.H. Unsteady MHD non-Darcian flow over a vertical stretching plate embedded in a porous medium with non-uniform heat generation. Appl. Math. Comput., 2014, 236, 480-492.
[http://dx.doi.org/10.1016/j.amc.2014.03.072]

Rights & Permissions Print Cite
© 2024 Bentham Science Publishers | Privacy Policy