Numerical study of Casson nanofluid over an elongated surface in presence of Joule heating and viscous dissipation: Buongiorno model analysis
Document Type : Research Paper
Authors
1 Department of Mathematics, Gandhi Institute for Technology, Bhubanewar-752054, India
2 Department of Mathematics, Nirmala College, Ranchi, Jharkhand-834002, India
Abstract
Nanoparticles (NPs) have wide engineering and industrial applications including improving heat transfer, cooling and heating processes, refrigeration, and medical sciences like cancer treatment etc. Further, Buongiorno model is used to determine how Brownian motion and thermophoresis affect the unsteady 2D flow of Casson nanofluid (NF) over a stretching sheet entrenched in a porous medium. The flow is exposed to an exponential heat source, thermal radiation, dissipation, Joule heating, and transverse magnetic field. The diffusion of chemically reactive NPs to base fluid has been considered. The leading equations of flow model admit similarity solution and reduce to non-linear ODEs by appropriate similarity renovations and elucidated numerically by MATLAB software using bvp4c code. It is found that incidence of NPs in the base fluid reduces the shearing stress at the plate surface so as to avoid back flow. Thermophoresis favours the rise in volume fraction and temperature of the nanofluid. Use of high-Prandtl number base fluid and NP of high thermal conductivity could be of practical use to increase the rate of heat transfer and to avoid NP accumulation.
Keywords
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[2] T. R. Mahapatra, A. S. Gupta, Heat transfer in stagnation-point flow towards a stretching sheet, Heat and Mass Transfer, Vol. 38, pp. 517-521, 2002.
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[7] P. Sreenivasulu, T. Poornima, N. B. Reddy, Influence of Joule Heating and Non-Linear Radiation on MHD 3D Dissipating Flow of Casson Nanofluid past a Non-Linear Stretching Sheet, Nonlinear Engineering, Vol. 8, pp. 661-672, 2019.
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[9] M. Das, G. Mahanta, S. Shaw, S. B. Parida, Unsteady MHD chemically reactive double‐diffusive Casson fluid past a flat plate in porous medium with heat and mass transfer, Heat Transfer-Asian Res., Vol. 48, pp. 1761-1777, 2019.
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[12] B. Kumar, S. Srinivas, Unsteady Hydromagnetic Flow of Eyring-Powell Nanofluid over an Inclined Permeable Stretching Sheet with Joule Heating and Thermal Radiation, J. Appl. Comput. Mech., Vol. 6, pp. 259-270, 2020.
[13] M. A. El-Aziz, A. A. Afify, Effect of Hall current on MHD slip flow of Casson nanofluid over a stretching sheet with zero nanoparticle mass flux, Thermophysics and Aeromechanics, Vol. 26, pp. 429-443, 2019.
[14] S. M. Ibrahim, P. V. Kumar, G. Lorenzini, E. Lorenzini, Influence of Joule Heating and Heat Source on Radiative MHD Flow over a Stretching Porous Sheet with Power-Law Heat Flux, Journal of Engineering Thermophysics, Vol. 28, pp. 332-344, 2019.
[15] K. Das, P. R. Duari P, P. K. Kundu, Nanofluid flow over an unsteady stretching surface in presence of thermal radiation, Alexandria Engineering Journal, Vol. 53, pp. 737-745, 2014.
[16] B. Nagaraja, B. J. Gireesha, Exponential space‑dependent heat generation impact on MHD convective flow of Casson fluid over a curved stretching sheet with chemical reaction, J Therm Anal Calorim., Vol. 143, pp. 4071-4079, 2021.
[17] B. C. Rout, S. R. Mishra, Thermal energy transport on MHD nanofluid flow over a stretching surface: A comparative study, Engineering Science and Technology, an International Journal, Vol. 21, pp. 60-69, 2018.
[18] B. Mahanthesh, G. Lorenzini, F. M. Oudina, I. L. Animasaun, Significance of exponential space-and thermal-dependent heat source effects on nanofluid flow due to radially elongated disk with Coriolis and Lorentz forces, J Therm Anal Calorim., Vol. 141, pp. 37-44, 2020.
[19] M. Senapati, K. Swain, S. K. Parida, Numerical analysis of three-dimensional MHD flow of Casson nanofluid past an exponentially stretching sheet, Karbala International Journal of Modern Science, Vol. 6, pp. 93-102, 2020.
[20] K. Swain, S. K. Parida, G. C. Dash, Effects of non-uniform heat source/sink and viscous dissipation on MHD boundary layer flow of Williamson nanofluid through porous medium, Defect and Diffusion Forum, Vol. 389, pp. 110-127, 2018.
[21] H. R. Asemi, S. R. Asemi, A. Farajpour, M. Mohammadi, Nanoscale mass detection based on vibrating piezoelectric ultrathin films under thermo-electro-mechanical loads, Physica E: Low-dimensional Systems and Nanostructures, Vol. 68, pp. 112-122, 2015.
[22] S. R. Asemi, A. Farajpour, H. R. Asemi, M. Mohammadi, Influence of initial stress on the vibration of double-piezoelectric-nanoplate systems with various boundary conditions using DQM, Physica E: Low-dimensional Systems and Nanostructures, Vol. 63, pp. 169-179, 2014.
[23] S. R. Asemi, A. Farajpour, M. Mohammadi, Nonlinear vibration analysis of piezoelectric nanoelectromechanical resonators based on nonlocal elasticity theory, Composite Structures, Vol. 116, pp. 703-712, 2014.
[24] S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, No. 9, pp. 1515-1540, 2014.
[25] M. Baghani, M. Mohammadi, A. Farajpour, Dynamic and stability analysis of the rotating nanobeam in a nonuniform magnetic field considering the surface energy, International Journal of Applied Mechanics, Vol. 8, No. 04, pp. 1650048, 2016.
[26] M. Danesh, A. Farajpour, M. Mohammadi, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications, Vol. 39, No. 1, pp. 23-27, 2012.
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)
Volume 53, Issue 3
September 2022Pages 414-430
- Receive Date: 10 August 2022
- Revise Date: 26 August 2022
- Accept Date: 27 August 2022