Computational Investigation of Brownian Motion and Thermophoresis Effect on Blood-based Casson Nanofluid on a Non-linearly Stretching Sheet

Haris Alam Zuberi; Madan Lal; Shivangi Verma; Nurul Amira Zainal

doi:10.37934/arnht.18.1.4967

Authors

Haris Alam Zuberi Department of Applied Mathematics, M. J. P. Rohilkhand University, Bareilly-243006, Uttar Pradesh, India
Madan Lal Department of Applied Mathematics, M. J. P. Rohilkhand University, Bareilly-243006, Uttar Pradesh, India
Shivangi Verma Department of Applied Mathematics, M. J. P. Rohilkhand University, Bareilly-243006, Uttar Pradesh, India
Nurul Amira Zainal Fakulti Teknologi dan Kejuruteraan Mekanikal, Universiti Teknikal Malaysia, Melaka, 76100, Durian Tunggal, Malaysia

DOI:

https://doi.org/10.37934/arnht.18.1.4967

Keywords:

Boundary layer flow, Thermophoresis, Brownian motion, Partial slip, Runge-Kutta method

Abstract

The present article investigates numerically the impacts of thermophoresis and Brownian motion on boundary layer nanofluid flow across a porous, non-linearly stretching sheet at a fixed temperature of the surface and under partial slip. Using the similarity variables, non-linear ordinary differential equations are obtained from the dictating partial differential equations, and then these non-linear ordinary differential equations are converted to a first order system of differential equations. The obtained first order system is then executed using bvp4c module in MATLAB along with the shooting technique. The numerical solutions obtained are scrutinized through graphs. It is observed that, as Nt and Nb levels rise, the temperature rises, and the thermal boundary layer thickens. Additionally, it has been found that the energy distribution expands, and nanoparticle concentration falls with rising values of the thermophoresis parameter.

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Author Biographies

Haris Alam Zuberi, Department of Applied Mathematics, M. J. P. Rohilkhand University, Bareilly-243006, Uttar Pradesh, India

haris.mjpru@gmail.com

Madan Lal, Department of Applied Mathematics, M. J. P. Rohilkhand University, Bareilly-243006, Uttar Pradesh, India

madan.lal@mjpru.ac.in

Shivangi Verma, Department of Applied Mathematics, M. J. P. Rohilkhand University, Bareilly-243006, Uttar Pradesh, India

shivangiverma14021992@gmail.com

Nurul Amira Zainal, Fakulti Teknologi dan Kejuruteraan Mekanikal, Universiti Teknikal Malaysia, Melaka, 76100, Durian Tunggal, Malaysia

nurulamira@utem.edu.my

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