Repercussions of Local Thermal Non-Equilibrium in Conjunction with Uniform/Non-Uniform Thermal Gradients and Magnetic Flux on the Onset of Darcy-Rayleigh-Benard-Marangoni Convection in a Composite Layer

Jump To References Section

Authors

  • Associate Professor, Department of UG, PG Studies & Research in Mathematics, Government Science College Autonomous, Nrupathunga University, Bengaluru, Karnataka ,IN
  • Research Scholar, Department of UG, PG Studies & Research in Mathematics, Government Science College Autonomous, Nrupathunga University, Bengaluru, Karnataka ,IN

DOI:

https://doi.org/10.18311/jmmf/2022/31851

Keywords:

Local Thermal Non Equilibrium (LTNE), Composite Layer, Thermal Gradients, Regular Perturbation Method, Marangoni Convection.

Abstract

Repercussions of uniform/non-uniform thermal gradients such as linear, parabolic, inverted parabolic, piecewise linear gradient heated from below (PLHB), piecewise linear gradient cooled from above (PLCA) and step function (SF) thermal gradients in conjunction with magnetic flux on the onset of Darcy-Rayleigh-Benard-Marangoni (DRBMM) convection in a composite layer involving incompressible fluid and holding horizontal adiabatic boundaries, rigid beneath the porous layer and free aloft the fluid layer is performed apropos to Local Thermal Non-Equilibrium (LTNE). Regular Perturbation method is exercised to attain the analytical solution of the acquired problem. For all the six thermal gradients, (i) The strength of variables such as solid phase thermal expansion ratio, solid phase thermal diffusivity ratio and inter-phase thermal diffusivity ratio that boosts LTNE are analysed and (ii) The influence of change in measure of physical quantities viz. fluid phase thermal expansion ratio, fluid phase thermal diffusivity ratio, Chandrasekhar number and Marangoni number are studied.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Downloads

Published

2022-11-02

How to Cite

Sumithra, R., & Venkatraman, S. (2022). Repercussions of Local Thermal Non-Equilibrium in Conjunction with Uniform/Non-Uniform Thermal Gradients and Magnetic Flux on the Onset of Darcy-Rayleigh-Benard-Marangoni Convection in a Composite Layer. Journal of Mines, Metals and Fuels, 70(7A), 24–37. https://doi.org/10.18311/jmmf/2022/31851

Issue

Section

Articles

 

References

Armaghani T, M. J. Maghrebi, A. J. Chamkha, and A. F. Al-Mudhaf , Forced Convection Heat Transfer of Nanofluids in a Channel Filled with Porous Media Under Local Thermal Non-Equilibrium Condition with Three New Models for Absorbed Heat Flux, Journal of Nanofluids Vol. 6, pp. 362–367, doi:10.1166/jon.2017.1323, 2017.

Ashoka S. B, A New Algorithm Based SLM to Find Critical Eigenvalue in the Rayleigh-Bénard-Brinkman Convection Problem with Boundary Conditions, Advances in Computational Sciences and Technology ISSN 0973-6107 Volume 10, Number 6 (2017) pp. 1557-1570.

Barbosa J. R., Jr, Two-phase non-equilibrium models: the challenge of improving phase change heat transfer prediction, J. Braz. Soc. Mech. Sci. & Eng. 27 (1) • Mar 2005 • https://doi.org/10.1590/S1678-58782005000100003.

Israa M. Mankhi and Shatha A. Haddad, Effect of local thermal non-equilibrium on the onset of convection in an anisotropic bidispersive porous layer, Journal of Al-Qadisiyah for Computer Science and Mathematics Vol. 13(2) 2021 , pp Math . 181–192.

Min Zeng and Qiuwang Wang, Natural convection of diamagnetic fluid in an enclosure filled with porous medium under magnetic field, Progress in Computational Fluid Dynamics, Vol. 9, No. 2, 2009.

Mohsen Izadi, Rasul Mohebbi, Amin Amiri Delouei and Hasan Sajjadi, Natural convection of a magnetizable hybrid nanofluid inside a porous enclosure subjected to two variable magnetic fields, International Journal of Mechanical Sciences 151 (2019) 154–169.

Noura Alsedais, Abdelraheem M. Aly and Mohamed Ahmed Mansour, Local thermal non-equilibrium condition on mixed convection of a nanofluid-filled undulating cavity containing obstacle and saturated by porous media, Ain Shams Engineering Journal, Volume 13, Issue 2, March 2022, 101562

Sridhar Kulkarni, Unsteady Thermal Convection In A Rotating Anisotropic Porous Layer Using Thermal Non-Equilibrium Model, International Journal of Physics and Mathematical Sciences ISSN: 2277-2111 (Online) An Online International Journal Available at http://www.cibtech.org/jpms.htm 2013 Vol. 3 (3) July-September, pp.30-46/Kulkarni.

Sumithra R and N. Manjunatha, Effects of Heat Source/ Sink and non-uniform temperature gradients on Darcian-Benard-Magneto-Marangoni convection in ‘ composite layer horizontally enclosed by adiabatic boundaries, Malaya Journal of Matematik, Vol. 8, No. 2, 373-382, 2020 https://doi.org/10.26637/MJM0802/0010.

Sumithra R, Manjunatha N and Komala B, Non-Darcian-Benard-magneto-surface tension driven convection in an infinite horizontal composite layer in the presence of heat source/sink and non-uniform temperature gradients, Malaysian Journal of Fundamental and Applied Sciences Vol. 16, No. 6 (2020) 615-624,

Most read articles by the same author(s)

1 2 > >>