Investigation of radiative needle flow dynamics with variable viscosity and thermal conductivity

Investigation of radiative needle flow dynamics with variable viscosity and thermal conductivity

Niba Kainat, Vincenzo Gulizzi

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Abstract. The flow pattern formed by the radiative needle moving in a fluid with temperature dependent viscosity and thermal conductivity is investigated in this paper considering the effects of viscous dissipation and nonlinear radiation. Under axial symmetry constraint, the governing equations are converted into a set of non-linear differential equations. Numerical results are presented discussing the influence of Prandtl number, viscosity and thermal conductivity on the heat transfer between the flow and the needle.

Keywords
Radiative Needles, Nonlinear Radiation, Temperature-Dependent Viscosity, Temperature-Dependent Thermal Conductivity

Published online 6/1/2024, 4 pages
Copyright © 2024 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Niba Kainat, Vincenzo Gulizzi, Investigation of radiative needle flow dynamics with variable viscosity and thermal conductivity, Materials Research Proceedings, Vol. 42, pp 22-25, 2024

DOI: https://doi.org/10.21741/9781644903193-6

The article was published as article 6 of the book Aerospace Science and Engineering

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] Fabiani, M., Gubernari, G., Migliorino, M.T., Bianchi, D., & Nasuti, F. Numerical Simulations of Fuel Shape Change and Swirling Flows in Paraffin/Oxygen Hybrid Rocket Engines. Aerotecnica Missili & Spazio, (2023) 102(1), 91-102. https://doi.org/10.1007/s42496-022-00141-6
[2] Majorana, E., Souhair, N., Ponti, F., & Magarotto, M. Development of a plasma chemistry model for helicon plasma thruster analysis. Aerotecnica Missili & Spazio, (2021), 100(3), 225-238. https://doi.org/10.1007/s42496-021-00095-1
[3] Esposito, A., & Lappa, M. Perspectives and Recent Progresses on the Simulation of the Entry into the Atmospheres of the Outer Ice Giants. Aerotecnica Missili & Spazio (2023), 102(4), 367-376. https://doi.org/10.1007/s42496-023-00167-4
[4] Smith, J.W. Effect of gas radiation in the boundary layer on aerodynamic heat transfer. Journal of the Aeronautical Sciences, (1953) 20(8), 579–580. https://doi.org/10.2514/8.2740
[5] Chamkha, A.J., Takhar, H. S., & Soundalgekar, V. M. Radiation effects on free convection flow past a semi-infinite vertical plate with mass transfer. Chemical Engineering Journal, (2001) 84(3), 335–342. https://doi.org/10.1016/s1385-8947(00)00378-8
[6] Makinde, O.D., & Ogulu, A. The effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field. Chemical Engineering Communications (2008) 195(12), 1575-1584. https://doi.org/10.1080/00986440802115549
[7] Pantokratoras, A. Natural convection along a vertical isothermal plate with linear and nonlinear Rosseland Thermal Radiation. International Journal of Thermal Sciences, (2014) 84, 151–157. https://doi.org/10.1016/j.ijthermalsci.2014.05.015
[8] Lee, L.L. Boundary layer over a thin needle. Physics of fluids, (1967) 10(4), 820-822. https://doi.org/10.1063/1.1762194
[9] Qasim, M., Riaz, N., Lu, D., & Afridi, M. I. Flow over a needle moving in a stream of dissipative fluid having variable viscosity and thermal conductivity. Arabian Journal for Science and Engineering, (2021) 46(8), 7295–7302. https://doi.org/10.1007/s13369-021-05352-w
[10] Afridi, M.I., & Qasim, M. Entropy generation and heat transfer in boundary layer flow over a thin needle moving in a parallel stream in the presence of nonlinear Rosseland radiation. International Journal of Thermal Sciences, (2018) 123, 117–128. https://doi.org/10.1016/j.ijthermalsci.2017.09.014