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Numerical study on the combined effects of Brownian motion and thermophoresis on an unsteady magnetohydrodynamics nanofluid boundary layer flow

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  • Kalpana, G.
  • Madhura, K.R.
  • Kudenatti, Ramesh B.

Abstract

Buongiorno’s two-phase model is adopted to study the impacts of the thermophoresis effect and Brownian motion on an unsteady nanofluid flow through an irregular channel due to a stretching sheet in the presence of magnetic field. The copper oxide nanoparticles are dispersed in the base solution (i.e., water) and the nanofluid thus developed is considered as an operating fluid. The thermophysical properties such as density, thermal conductivity, viscosity, heat capacitance and thermal expansion of the considered nanofluid are determined using established laws and mixture theory. The flow and heat transfer are described by the boundary layer equations that correspond to the flow field, temperature, and concentration, and associated boundary conditions are solved numerically by employing an effective and optimized finite difference technique. The convergence criteria of the developed numerical algorithm for the obtained solutions are verified. The significant features of momentum, temperature, and concentration distributions are due to the influence of key parameters which are of physical interest such as magnetic parameter, the amplitude of a wavy channel, particle–density increment parameter, Brownian diffusion coefficient, nanoparticle Lewis number are analyzed in detail.

Suggested Citation

  • Kalpana, G. & Madhura, K.R. & Kudenatti, Ramesh B., 2022. "Numerical study on the combined effects of Brownian motion and thermophoresis on an unsteady magnetohydrodynamics nanofluid boundary layer flow," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 78-96.
    • Handle: RePEc:eee:matcom:v:200:y:2022:i:c:p:78-96
    DOI: 10.1016/j.matcom.2022.04.010
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    References listed on IDEAS

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    1. Khuram Rafique & Muhammad Imran Anwar & Masnita Misiran & Ilyas Khan & Asiful H. Seikh & El-Sayed M. Sherif & Kottakkaran Sooppy Nisar, 2019. "Brownian Motion and Thermophoretic Diffusion Effects on Micropolar Type Nanofluid Flow with Soret and Dufour Impacts over an Inclined Sheet: Keller-Box Simulations," Energies, MDPI, vol. 12(21), pages 1-22, November.
    2. Zeeshan, Ahmed & Majeed, Aaqib & Akram, Muhammad Javed & Alzahrani, Faris, 2021. "Numerical investigation of MHD radiative heat and mass transfer of nanofluid flow towards a vertical wavy surface with viscous dissipation and Joule heating effects using Keller-box method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1080-1109.
    3. 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.
    4. Jing Zhu & Pengfei Chu & Jiani Sui, 2018. "Exact Analytical Nanofluid Flow and Heat Transfer Involving Asymmetric Wall Heat Fluxes with Nonlinear Velocity Slip," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-12, September.
    5. Chu, Yu-Ming & Shankaralingappa, B.M. & Gireesha, B.J. & Alzahrani, Faris & Khan, M. Ijaz & Khan, Sami Ullah, 2022. "Combined impact of Cattaneo-Christov double diffusion and radiative heat flux on bio-convective flow of Maxwell liquid configured by a stretched nano-material surface," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    6. Ramesh B. Kudenatti & Shreenivas R. Kirsur & Achala L. Nargund & N. M. Bujurke, 2017. "Similarity Solutions of the MHD Boundary Layer Flow Past a Constant Wedge within Porous Media," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-11, January.
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    Cited by:

    1. Ali, Asgar & Sarkar, Soumitra & Das, Sanatan, 2023. "Bioconvective chemically reactive entropy optimized Cross-nano-material conveying oxytactic microorganisms over a flexible cylinder with Lorentz force and Arrhenius kinetics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 1029-1051.
    2. Alsaedi, A. & Khan, Sohail A. & Hayat, T., 2023. "A model development for thermal and solutal transport analysis in radiating entropy optimized and magnetized flow of nanomaterial by convectively heated stretched surface," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    3. Alsaedi, A. & Khan, Sohail A. & Hayat, T., 2023. "Mixed convective entropy optimized flow of rheological nanoliquid subject to Cattaneo-Christov fluxes: An application to solar energy," Energy, Elsevier, vol. 278(PA).
    4. Ragupathi, E. & Prakash, D., 2024. "Role of linear and non-linear thermal radiation over the rotating porous disc with the occurrence of non-uniform heat source/sink: HAM analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 350-378.

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