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Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally

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  • Waqas, Hassan
  • Imran, Muhammad
  • Hussain, Sajjad
  • Ahmad, Farooq
  • Khan, Ilyas
  • Nisar, Kottakkaran Sooppy
  • Almatroud, A. Othman

Abstract

A rotating MHD flow of electrically conducting Oldroyd-B fluid through non-Darcy porous medium across a stretching/shrinking surface is investigated in purview of bioconvection effects. The fluid velocity field, temperature field, concentration of nano materials and that of bio microorganisms have been simultaneously formulated in the form of coupled nonlinear partial differential equations. The quest for improved thermal performance in practicable situations has motivated to utilize some real fluids like Oldroyd-B nanofluids with support from bioconvection effect to stabilize nanoparticle fraction. The zero normal flux of the nanoparticles and convective boundary condition are imposed. The substitution of appropriate similarity functions has resulted a set of ordinary differential equations (ODE). The sparse system of transformed ODEs was simulated numerically with bvp4c solver facilitated by MATLAB commercial software. Computations were executed for specific parameters to perceive the response of velocity, temperature, concentration of nanoparticles and concentration of microorganisms, skin friction coefficient and local heat transfer rate with variation of influential parameters. It is detected that fluid temperature profile rises when Deborah number, Biot number, parameters for buoyancy ratio, porosity, rotation, magnetic field strength, thermophoresis diffusion are enhanced.

Suggested Citation

  • Waqas, Hassan & Imran, Muhammad & Hussain, Sajjad & Ahmad, Farooq & Khan, Ilyas & Nisar, Kottakkaran Sooppy & Almatroud, A. Othman, 2020. "Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 166-182.
    • Handle: RePEc:eee:matcom:v:178:y:2020:i:c:p:166-182
    DOI: 10.1016/j.matcom.2020.05.030
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    References listed on IDEAS

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    1. S A M. Mehryan & Farshad Moradi Kashkooli & M Soltani & Kaamran Raahemifar, 2016. "Fluid Flow and Heat Transfer Analysis of a Nanofluid Containing Motile Gyrotactic Micro-Organisms Passing a Nonlinear Stretching Vertical Sheet in the Presence of a Non-Uniform Magnetic Field; Numeric," PLOS ONE, Public Library of Science, vol. 11(6), pages 1-32, June.
    2. Saidur, R. & Leong, K.Y. & Mohammad, H.A., 2011. "A review on applications and challenges of nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(3), pages 1646-1668, April.
    3. Muhammad Ramzan & Muhammad Bilal, 2015. "Time Dependent MHD Nano-Second Grade Fluid Flow Induced by Permeable Vertical Sheet with Mixed Convection and Thermal Radiation," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-25, May.
    4. Waqar Azeem Khan & Masood Khan & Rabia Malik, 2014. "Three-Dimensional Flow of an Oldroyd-B Nanofluid towards Stretching Surface with Heat Generation/Absorption," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-14, August.
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    1. Patil, P.M. & Benawadi, Sunil & Shanker, Bandari, 2022. "Influence of mixed convection nanofluid flow over a rotating sphere in the presence of diffusion of liquid hydrogen and ammonia," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 764-781.
    2. Preeti, & Ojjela, Odelu, 2022. "Numerical investigation of heat transport in Alumina–Silica hybrid nanofluid flow with modeling and simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 100-122.

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