Abstract
Various applications of bioconvection phenomena in the field of medicine and biotechnology boost us to present the study of laminar wall jet flow in this specific direction. For the purpose, we have considered nanofluid containing gyrotactic microorganisms in the presence of normally applied magnetohydrodynamic forces along with Soret effects. Boundary layer approximation and similarity transformation are utilized to convert governing equations into ordinary differential equations. Influence of different emerging parameters on velocity, temperature and concentration profiles of solute, nanoparticle and motile microorganisms has been investigated. The role of physical quantities like Nusselt number, Sherwood number and density number of microorganisms is also highlighted. Increase in Nusselt number and density number of motile microorganism is observed for incremental values of bioconvection Peclet number. Soret number reflects increasing effect on Nusselt number and decreasing effect on Sherwood number because solute diffusion faces resistance due to higher values of Soret number and in return decreases rate of mass transfer. Also bioconvection Rayleigh number imposes decreasing effect on density number of the motile microorganisms.
Similar content being viewed by others
References
Choi SUS (1995) Enhancing thermal conductivity of fluids with nanoparticles. In: International Mechanical Engineering Congress & Exposition (ed) Developments and applications of non-Newtonian flows. The American Society of Mechanical Engineers, New York, vol 99
Das SK, Choi SU, Yu W, Pradeep T (2007) Nanofluids: science and technology. Wiley, New Jersey
Pedley TJ, Kessler JO (1992) Hydrodynamic phenomena in suspensions of swimming micro-organisms. Annu Rev Fluid Mech 24:313–358
Wager H (1911) On the effect of gravity upon the movements and aggregation of Euglena viridis, Ehrb., and other micro-organisms. Philos Trans R Soc Lond B Biol Sci 201:333–390
Kuznetsov AV, Avramenko AA (2004) Effect of small particles on the stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth. Int Commun Heat Mass Transf 31:1–10
Elbashbeshy EMA, Ibrahim FN (1993) Steady free convection flow with variable viscosity and thermal diffusivity along a vertical plate. J Phys D 26(12):2137–2143
Kafoussias NG, Williams EW (1995) Thermal-diffusion and diffusion-thermo effects on mixed freeforced convective and mass transfer boundary layer flow with temperature dependent viscosity. Int J Eng Sci 33(9):1369–1384
Yih KA (1998) Coupled heat and mass transfer in mixed convection over a wedge with variable wall temperature and concentration in porous media: the entire regime. Int Commun Heat Mass Transf 25(8):1145–1158
Jumah RY, Mujumdar A (2000) Free convection heat and mass transfer of non-Newtonian power law fluids with yield stress from a vertical flat plate in saturated porous media. Int Commun Heat Mass Transf 27(4):485–494
Anghel M, Takhar HS, Pop I (2000) Dufour and Soret effects on free convection boundary layer over a vertical surface embedded in a porous medium. Stud Univ Babeş-Bolyai Math 45:11–22
Launder B, Rodi W (1981) The turbulent wall jets. Prog Aerosp Sci 19:81–128
Launder B, Rodi W (1983) The turbulent wall jets—measurements and modeling. Annu Rev Fluid Mech 15:429–459
Tetervin N (1948) Laminar flow of a slightly viscous incompressible fluid that issues from a slit and passes over a flat plate. National Advisory Committee for Aeronautics, Washington
Glauert MB (1956) The wall jet. J Fluid Mech 16:625–643
Bajura R, Szewezyk A (1970) Experimental investigation of a laminar two-dimensional plane wall-jet. Phys Fluids 13:1653–1664
Merkin J, Needham D (1986) A note on the wall-jet problem I. J Eng Math 20:21–26
Merkin J, Needham D (1987) A note on the wall-jet problem II. J Eng Math 21:17–22
Riley N (1958) Effects of compressibility on a laminar wall jet. J Fluid Mech 4:615–628
Chun D, Schwarz W (1967) Stability of the plane incompressible viscous wall jet subjected to small disturbances. Phys Fluids 10:911–915
Mohyud-Din ST, Zaidi ZA, Khan U, Ahmed N (2015) On heat and mass transfer analysis for the flow of a nanofluid between rotating parallel plates. Aerosp Sci Technol 46:514–522
Khan U, Ahmed N, Mohyud-Din S (2016) Thermo-diffusion, diffusion-thermo and chemical reaction effects on MHD flow of viscous fluid in divergent and convergent channels. Chem Eng Sci 141:17–27
Zaidi S, Mohyud-Din S (2016) Convective heat transfer and MHD effects on two dimensional wall jet flow of a nanofluid with passive control model. Aerosp Sci Technol 49:225–230
Buongiorno J (2006) Convective transport in nanofluids. ASME J Heat Transf 128(3):240–250
Sarkar AK, Georgiou G, Sharma M (1994) Transport of bacteria in porous media: I. An experimental investigation. Biotechnol Bioeng 44:489–497
Kuznetsov AV, Nield DA (2010) Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci 49(2):243–247
Moorthy MBK, Senthilvadivu K (2012) Soret and Dufour effects on natural convection flow past a vertical surface in a porous medium with variable viscosity. J Appl Math. Article ID 634806
Raees A, Xu H, Haq MR (2014) Explicit solutions of wall jet flow subject to a convective boundary condition. Bound Value Prob 2014:163
Acknowledgments
The authors are highly grateful to the unknown referees for their valuable comments which prove helpful in improving the quality of work.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
All authors declare that they have no conflict of interest.
Rights and permissions
About this article
Cite this article
Mohyud-Din, S.T., Zaidi, S.Z.A. Soret and MHD effects on bioconvection wall jet flow of nanofluid containing gyrotactic microorganisms. Neural Comput & Applic 28 (Suppl 1), 599–609 (2017). https://doi.org/10.1007/s00521-016-2366-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00521-016-2366-9