Volume 4, Issue 4, December 2019, Page: 51-60
Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion
Falana Ayodeji, Department of Mechanical Engineering, University of Ibadan, Ibadan, Nigeria
Alegbeleye Tope, Department of Mechanical Engineering, University of Ibadan, Ibadan, Nigeria
Olabanji Pele, Department of Mechanical Engineering, University of Ibadan, Ibadan, Nigeria
Received: Jul. 6, 2019;       Accepted: Aug. 18, 2019;       Published: Jan. 8, 2020
DOI: 10.11648/j.mlr.20190404.12      View  241      Downloads  117
Abstract
The bioconvection Magneto-Hydrodynamics (MHD) flow of nanofluid over a stretching sheet with velocity slip and viscous dissipation is studied. The governing nonlinear partial differential equations of the flow are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformation. These coupled ordinary differential equations are solved using fourth order Runge Kutta-Fehlberg integration method along with shooting technique. Solutions showing the effects of pertinent parameters on the velocity temperature, nanoparticles concentration, skin friction, Nusselt number and microorganism density are illustrated graphically and discussed. It is observed that there is enhancement of the motile microorganism density as thermal slip and Eckert number increase but microorganism density slip parameter have the opposite effect on the microorganism density. It is also found that an increase in Lewis number results in reduction of the volume fraction of nanoparticles and concentration boundary-layer thickness. Brownian motion, Nb and Eckert number, Ec decrease both local Nusselt number and local motile microorganism density but increases local Sherwood number. In addition, as the values of radiation parameter R increase, the thermal boundary layer thickness increases. Finally, thermophoresis parameter, Nt decreases both local Sherwood number, local Nuseselt number and local motile microorganism density. Comparisons of the present result with the previously published results show good agreement.
Keywords
MHD Flow, Thermophoresis, Viscous Dissipation, Brownian Motion Slip Conditions, Nano Fluid, Heat and Mass Transfer
To cite this article
Falana Ayodeji, Alegbeleye Tope, Olabanji Pele, Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion, Machine Learning Research. Vol. 4, No. 4, 2019, pp. 51-60. doi: 10.11648/j.mlr.20190404.12
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[1]
M. H. Hamza, N. A. C. Sidik, T. L. Ken, R. Mamat, G. Najafi, Factors affecting the performance of hybrid nanofluids: a comprehensive review, Int. J. Heat Mass Transf. 115 (2017) 630-646.
[2]
N. A. C. Siddik, M. J. Muhammad, M. A. A. J. Wan, M. A. Isa, A review on preparation methods, stability and applications of hybrid nanofluids, Renew. Sustain Energy Rev. 80 (2017) 1112-1122.
[3]
O. D. Makinde, A. Aziz, Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, Int. J. Therm. Sci. 50 (2011) 1326-1332.
[4]
S. Jana, A. S. Khojin, W. H. Zhong, Enhancement of fluid thermal conductivity by the addition of single and hybrid nano-additives, Thermochim. Acta 462 (2007) 45-55.
[5]
Sreedevi P, Reddy, P. S and Chamkha, A. J: Magneto-hydrodynamics Heat and Mass transfer analysis of single and mult-wall carbon nanotubes over vertical cone with convective boundary condition. Mech. Sci. 135, 646-655 (2018).
[6]
Shafiq, A, Hammouch, A and Turah, A: Impact of radiation in a stagnation point flow of Walters’ B fluid towards a Riga plate. Ther. Sci. Eng. 6, 27-33 (2018).
[7]
Togun, H, Ahmadi, G, Abdulrazzaq, T, Shkarah, A. J., Kazi, S. N, A. Badarudin and M. R. Safaei, Thermal performance of nanofluid in ducts with double forward-facingsteps, Journal of the Taiwan Institute of Chemical Engineers, 47, 28-42, (2015).
[8]
Uddin, M. J., O. Anwar Bég and A. I. Ismail, Radiative-convective nanofluid flow past a stretching/shrinking sheet with slip effects, AIAA J. Thermophysics Heat Transfer, 29, 3, 513-523 (2015).
[9]
Rana, P. and Bhargava, R. Flow and heat transfer over a nonlinearly stretching sheet: A numerical study. Comm. Nonl. Sci. and Numer. Simulat. 17, 212-226 (2012).
[10]
Nadeem S, Mehmood R, Akbar N S., Non-orthogonal stagnation point flow of a nano non Newtonian fluid towards a stretching surface with heat transfer, Int. J. Heat Mass Transfer, 57: 679–689 (2013).
[11]
P. Rana, R. Bhargava, Numerical study of heat transfer enhancement in mixed convection flow along a vertical plate with heat source/sink utilizing nanofluids, Commun. Nonlinear Sci. Numer. Simul. 16 (11) (November 2011) 4318-4334.
[12]
Sakiadis BC. Boundary layer behavior on continuous solid surface: II. The boundary layer on a continuous flat surface. J Am Ins Chem Eng 1961; 7 (2): 221–5.
[13]
R. Nazar, N. Amin, I. Pop, Unsteady boundary layer flow due to a stretching surface in a rotating fluid, Mech. Res. Commun. 31 (1) (2004) 121–128.
[14]
M. S. Abel, K. A. Kumar, R. Ravikumara, MHD flow, and heat transfer with effects of buoyancy, viscous and Joules dissipation over a nonlinear vertical stretching porous sheet with partial slip, Engineering 3 (3) (2011) 285-291.
[15]
A. Y. Bakier, Thermophoresis effects on heat and mass transfer in MHD flow over a vertical stretching surface with radiation, Int. J. Fluid Mech. 36 (2010) 489-501.
[16]
O. D. Makinde, W. A. Khan, Z. H. Khan, Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet, Int. J. Heat Mass Transf. 62 (July 2013) 526-533.
[17]
J. A. V. Kuznetsov, Thermo-bioconvection in a suspension of oxytactic bacteria, Int. Commun. Heat Mass Transfer 32 (2005) 991–999.
[18]
Ibrahim W, Shanker B, Mahantesh M. MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip Boundary conditions. Int J Heat Mass Transfer (2013); 75: 1–10.
[19]
Andersson H. Slip flow past a stretching surface. Acta Mech 2002; 158: 121–5.
[20]
Hayat T, Qasim M, Mesloub S. MHD flow and heat transfer over permeable stretching sheet with slip conditions. Int J Numer Meth Fluid (2011); 66: 963–75.
[21]
Wang CY. Stagnation slip flow and heat transfer on a moving plate. Chem Eng Sci (2006); 61: 7668–72.
[22]
Fang T, Zhang J, Yao S. Slip MHD viscous flow over a stretching sheet – an exact solution. Commun Non-linear Sci Numer Simul (2009); 14: 3731–7.
[23]
Aziz A. Hydrodynamic and thermal slip flow boundary layer over a flat plate with constant heat flux boundary condition. Commun Non-linear Sci Numer Simul (2010); 15: 573–80.
[24]
Fang T, Yao S, Zhang J, Aziz A. Viscous flow over a shrinking sheet with second order slip flow model. Commun Non-linear Sci Numer Simul (2010); 15: 1831–4.
Browse journals by subject