Effect of Chemical Reaction and Variable Thermal Conductivity in MHD Williamson Nanofluid Flow with Gyrotactic Microorganisms

Authors

  • Poludasu Madhu Sravanthi Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Guntur, AP, 520002, India
  • Maddali Radha Madhavi Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Guntur, AP, 520002, India
  • Sridhar Wuriti Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Guntur, AP, 520002, India

DOI:

https://doi.org/10.37934/arfmts.113.1.6781

Keywords:

Gyrotactic microorganisms, MHD, chemical reaction, thermal conductivity, Peclet number

Abstract

The primary objective of this study deals with numerical analysis of gyrotactic microorganisms in Williamson nanofluids under the influence of chemical reaction and variable thermal conductivity along with porous medium. Using the similarity transformations, the non-linear PDEs are transformed into ODEs. RK-Fehlberg with a shooting strategy utilised to address ODEs with the influence of MATLAB software. Effect of Permeability, Prandtl number, magnetic field, Williamson parameter, Schmidt number, Peclet number, the profiles of velocity, temperature, concentration, and motile microbe density are explored in detail, and the potential results are displayed in graphs. The density number, Nusselt number, skin friction coefficient, and Sherwood number displayed in tables.

Author Biographies

Poludasu Madhu Sravanthi, Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Guntur, AP, 520002, India

p.madhu.sravanthi@gmail.com

Maddali Radha Madhavi, Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Guntur, AP, 520002, India

mrmadhavi5@gmail.com

Sridhar Wuriti, Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Guntur, AP, 520002, India

sridharwuriti@gmail.com

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Published

2024-01-15

How to Cite

Poludasu Madhu Sravanthi, Maddali Radha Madhavi, & Sridhar Wuriti. (2024). Effect of Chemical Reaction and Variable Thermal Conductivity in MHD Williamson Nanofluid Flow with Gyrotactic Microorganisms. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 113(1), 67–81. https://doi.org/10.37934/arfmts.113.1.6781

Issue

Vol. 113 No. 1: January (2024)

Section

Articles