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Bioconvection Flow and Heat Transfer over a Stretching Sheet in the Presence of Both Gyrotactic Microorganism and Nanoparticle Under Convective Boundary Conditions and Induced Magnetic Field

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Engineering Vibration, Communication and Information Processing

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 478))

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Abstract

The present analysis considered the effects of heat and mass transfer with an induced magnetic field in both gyrotactic microorganisms and nanoparticle over a stretching sheet. The influences of convective boundary conditions have also been taken into account. PDEs are converted into nonlinear coupled ODEs by using suitable similarity transformation. These equations are evaluated numerically by fourth- and fifth- order Runge–Kutta–Fehlberg method with shooting technique in MATLAB. The evaluations are carried out to know the influence of various parameters on velocity, induced magnetic, temperature, concentration, and motile microorganism density profile and the results are shown through graphical representation.

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References

  1. Childress, S., Levandowsky, M., Spiegel, E.A.: Pattern formation in a suspension of swimming microorganisms—equations and stability theory. J. Fluid Mech. 69, 591–613 (1975)

    Article  Google Scholar 

  2. Hillesdon, A.J., Pedley, T.J.: Bioconvection in suspensions of oxytactic bacteria: linear theory. J. Fluid Mech. 324, 223–259 (1996)

    Article  Google Scholar 

  3. Hill, N.A., Pedley, T.J.: Bioconvection. Fluid Dyn. Res. 37(1/2), 1–20 (2005)

    Article  MathSciNet  Google Scholar 

  4. Kuznetsov, A.V.: The onset of nanofluid bioconvection in a suspension containing both nanoparticles and gyrotactic microorganisms. Int. Commun. Heat Mass Transf. 37, 1421–1425 (2010)

    Article  Google Scholar 

  5. Xu, H., Pop, I.: Mixed convection flow of a nanofluid over a stretching surface with uniform free stream in the presence of both nanoparticles and gyrotactic microorganisms. Int. J. Heat Mass Transf. 75, 610–623 (2014)

    Article  Google Scholar 

  6. Raees, A., Xu, H., Sun, Q., Pop, I.: Mixed convection in gravity-driven nano-liquid film containing both nanoparticles and gyrotactic microorganisms. Appl. Math. Mech. 36, 163–178 (2015)

    Article  MathSciNet  Google Scholar 

  7. Jain, S., Parmar, A.: Radiation effect on MHD williamson fluid flow over stretching cylinder through porous medium with heat source. In: Applications of Fluid Dynamics. Lecture Notes in Mechanical Engineering, pp. 127–141 (2018)

    Google Scholar 

  8. Jain, S., Bohra, S.: Hall current and radiation effects on unsteady MHD squeezing nanofluid flow in a rotating channel with lower stretching permeable wall. In: Applications of Fluid Dynamics. Lecture Notes in Mechanical Engineering, pp. 127–141 (2018)

    Google Scholar 

  9. Sadia, S, Gul-e-Hina, Begum, N., Saleem, S., Hossain, M.A., Gorla, R.S.R.: Numerical solutions of nanofluid bioconvection due to gyrotactic microorganisms along a vertical wavy cone. Int. J. Heat Mass Trans. 101, 608–613 (2016)

    Google Scholar 

  10. Alsaedi, A., Khan, I.M., Farooq, M., Gull, N., Hayat, T.: Magnetohydrodynamic (MHD) stratified bioconvective flow of nanofluid due to gyrotactic microorganisms. Adv. Powder Tech. 28(1), 288–298 (2017)

    Article  Google Scholar 

  11. Govind, R.R., Patil, V.S., Krishna Prasad, J.S.V.R.: Hydromagnetic bioconvection flow in the region of stagnation-point flow and heat transfer in non-Newtonian nanofluid past a moving surface with suction: similarity analysis. Int. J. Heat Tech. 35(1), 25–31 (2017)

    Article  Google Scholar 

  12. Chauhan, D.S., Rastogi, P.: Heat transfer and entropy generation in MHD flow through a porous medium past a stretching sheet. Int. J. Energy Tech. 3(15), 1–13 (2011)

    Google Scholar 

  13. Chauhan, D.S., Agrawal, R.: MHD flow and heat transfer in a channel bounded by a shrinking sheet and a plate with a porous substrate. J. Eng. Phys. Thermophys. 84(5), 1034–1046 (2011)

    Article  Google Scholar 

  14. Ali, F.M., Nazar, R., Arifin, N.M., Pop, I.: MHD mixed convection boundary layer flow toward a stagnation point on a vertical surface with induced magnetic field was studied. J. Heat Transf. 133, 1–6 (2011). Article ID: 022502

    Article  Google Scholar 

  15. Jafar, K., Nazar, R., Ishak, A., Pop, I.: MHD boundary layer flow due to a moving wedge in a parallel stream with the induced magnetic field. Boundary Value Problems, 1–14 (2013)

    Google Scholar 

  16. Jain, S., Choudhary, R.: Effects of MHD on boundary layer flow in porous medium due to exponentially shrinking sheet with slip. Procedia Eng. 127, 1203–1210 (2015)

    Article  Google Scholar 

  17. Gireesha, B.J., Mahanthesh, B., Shivakumara, I.S., Eshwarappa, K.M.: Melting heat transfer in boundary layer stagnation-point flow of nanofluid toward a stretching sheet with induced magnetic field. Eng. Sci. Tech. 19, 313–321 (2016)

    Google Scholar 

  18. Faisal, M.B., Uddin, M.J., Ismail, A.I.M.: Unsteady magnetoconvective flow of bio nanofluid with zero mass flux boundary condition. Sains Malays. 46(2), 327–333 (2017)

    Article  Google Scholar 

  19. Makinde, O.D., Aziz, A.: Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int. J. Thermal. Sci. 50(7), 1326–1332 (2011)

    Article  Google Scholar 

  20. Khan, W.A., Makinde, O.D.: MHD nanofluid bioconvection due to gyrotactic microorganisms over a convectively heat stretching sheet. Int. J. Thermal. Sci. 81, 118–124 (2014)

    Article  Google Scholar 

  21. Chakraborty, T., Das, K., Kundu, P.K.: Framing the impact of external magnetic field on bioconvection of a nanofluid flow containing gyrotactic microorganisms with convective boundary conditions. Alex. Eng. J. (2016). In Print

    Google Scholar 

  22. Ramzan, M., Chung, J.D., Ullah, N.: Radiative magnetohydrodynamic nanofluid flow due to gyrotactic microorganisms with chemical reaction and non-linear thermal radiation. Int. J. Mech. Sci. (2017). In print

    Google Scholar 

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Correspondence to Shalini Jain .

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Jain, S., Choudhary, R. (2019). Bioconvection Flow and Heat Transfer over a Stretching Sheet in the Presence of Both Gyrotactic Microorganism and Nanoparticle Under Convective Boundary Conditions and Induced Magnetic Field. In: Ray, K., Sharan, S., Rawat, S., Jain, S., Srivastava, S., Bandyopadhyay, A. (eds) Engineering Vibration, Communication and Information Processing. Lecture Notes in Electrical Engineering, vol 478. Springer, Singapore. https://doi.org/10.1007/978-981-13-1642-5_57

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  • DOI: https://doi.org/10.1007/978-981-13-1642-5_57

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  • Online ISBN: 978-981-13-1642-5

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