Mixed Convection Nanofluid Flow using Lie Group Scaling with the Impact of MHD Radiation Thermophoresis and Brownian Motion

Authors

  • Pranitha Janapatla Department of Mathematics, National Institute of Technology Warangal-506004 Telangana, India
  • Anomitra Chakraborty Department of Mathematics, National Institute of Technology Warangal-506004 Telangana, India

DOI:

https://doi.org/10.37934/arfmts.101.2.8598

Keywords:

Mixed convection, radiation parameter, Lie group scaling, vertical wedge, nanofluid, MHD

Abstract

The present study concerns with the mixed convection nanofluid flow across a vertical wedge with Radiation, MHD, Brownian motion, thermophoresis effects using Lie Group scaling analysis. The governing set of highly nonlinear partial differential equations are non-dimensionalized through appropriate transformations and transformed into ordinary differential equations using Lie Group Scaling, which is solved numerically using Shooting method along with bvp4c scheme. The radiation heat flux approximated with the Rosseland approximation has been implemented in the flow equations. The influence of mixed convection, magnetic, Brownian motion, radiation, Lewis number and thermophoresis parameter on the flow profiles are examined. For establishing the efficiency of our adopted numerical technique, we made comparisons with the earlier published works and we found them to be in very good agreement.

Author Biographies

Pranitha Janapatla, Department of Mathematics, National Institute of Technology Warangal-506004 Telangana, India

pranitha@nitw.ac.in

Anomitra Chakraborty, Department of Mathematics, National Institute of Technology Warangal-506004 Telangana, India

ac712148@student.nitw.ac.in

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Published

2022-12-11

How to Cite

Pranitha Janapatla, & Anomitra Chakraborty. (2022). Mixed Convection Nanofluid Flow using Lie Group Scaling with the Impact of MHD Radiation Thermophoresis and Brownian Motion. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 101(2), 85–98. https://doi.org/10.37934/arfmts.101.2.8598

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