Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter

P. Ghosh; S. Tuteja

doi:doi:10.11648/j.ajae.s.2016030101.14

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Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter

P. Ghosh, S. Tuteja

Published in American Journal of Aerospace Engineering (Volume 3, Issue 1-1)

Received: 8 August 2015 Accepted: 10 August 2015 Published: 27 August 2015

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Abstract

Natural convection in a square porous cavity under sinusoidal g-jitter has been studied for hydro dynamically and thermally anisotropic porous media. The difference with the homogeneous porous media under sinusoidal g-jitter with the anisotropic porous medium under sinusoidal g-jitter is the circulation pattern change. Fluid flow aligns with the porosity distribution. An effort has also been made to understand the non-Darcy effect for the above mentioned problem. It has been observed that at very low velocities, results from the porous media following Darcy’s model and Forchheimer’s equation (non- Darcy model) closely resemble each other. Velocity and pressure behave in a sinusoidal fashion with the same frequency as with the gravitational acceleration. Last but not the least an effort has also been made to understand the behaviors of average Nusselt number in the above mentioned situations.

Published in	American Journal of Aerospace Engineering (Volume 3, Issue 1-1) This article belongs to the Special Issue Space Laboratories: History, Researches, Prospects
DOI	10.11648/j.ajae.s.2016030101.14
Page(s)	17-21
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Anisotropic, G-Jitter, Forchheimer’s Equation, Non-Darcy, Porous Media, Sinusoidal

References

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[2]	A.V. Sedelnikov “The usage of fractal quality for microacceleration data recovery and for measuring equipment efficiency check,” Microgravity Scienes and Technology, vol. 26, No 5, 2014, pp.327–334.
[3]	F.H. Busse “Non-linear properties of thermal convection,” Rep. Prog. Phys., No 41, 1978, pp. 1929-1967.
[4]	P. Cheng “Heat transfer in geothermal systems,” Adv. Heat Transfer, No 14, 1978, pp. 1-105.
[5]	S. Biringen and G. Danabasoglu “Computation of convective flow with gravity modulation in rectangular cavities,” J. Thermophys, No 4, 1990, pp. 357-365.
[6]	K. Hirata, T. Sasaki and H. Tanigawa “Vibrational effects on convection in a square cavity at zero gravity,” J. Fluid Mech., vol. 45, No 4, 2001, pp. 327-344.
[7]	P. Ghosh and M.K. Ghosh “Streaming flows in differentially heated square porous cavity under sinusoidal g-jitter,”Int. J. Therm. Sc., No 48, 2009, 514-520.
[8]	D.D. Joseph, D.A. Nield and G. Papanicolaou “Nonlinear equation governing flow in a saturated porous medium,” Water Resour. Res., vol. 18, No 4, 1982, pp. 1049-1052.

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APA Style

P. Ghosh, S. Tuteja. (2015). Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter. American Journal of Aerospace Engineering, 3(1-1), 17-21. https://doi.org/10.11648/j.ajae.s.2016030101.14

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ACS Style

P. Ghosh; S. Tuteja. Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter. Am. J. Aerosp. Eng. 2015, 3(1-1), 17-21. doi: 10.11648/j.ajae.s.2016030101.14

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AMA Style

P. Ghosh, S. Tuteja. Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter. Am J Aerosp Eng. 2015;3(1-1):17-21. doi: 10.11648/j.ajae.s.2016030101.14

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@article{10.11648/j.ajae.s.2016030101.14,
  author = {P. Ghosh and S. Tuteja},
  title = {Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter},
  journal = {American Journal of Aerospace Engineering},
  volume = {3},
  number = {1-1},
  pages = {17-21},
  doi = {10.11648/j.ajae.s.2016030101.14},
  url = {https://doi.org/10.11648/j.ajae.s.2016030101.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajae.s.2016030101.14},
  abstract = {Natural convection in a square porous cavity under sinusoidal g-jitter has been studied for hydro dynamically and thermally anisotropic porous media. The difference with the homogeneous porous media under sinusoidal g-jitter with the anisotropic porous medium under sinusoidal g-jitter is the circulation pattern change. Fluid flow aligns with the porosity distribution. An effort has also been made to understand the non-Darcy effect for the above mentioned problem. It has been observed that at very low velocities, results from the porous media following Darcy’s model and Forchheimer’s equation (non- Darcy model) closely resemble each other. Velocity and pressure behave in a sinusoidal fashion with the same frequency as with the gravitational acceleration. Last but not the least an effort has also been made to understand the behaviors of average Nusselt number in the above mentioned situations.},
 year = {2015}
}

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TY  - JOUR
T1  - Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter
AU  - P. Ghosh
AU  - S. Tuteja
Y1  - 2015/08/27
PY  - 2015
N1  - https://doi.org/10.11648/j.ajae.s.2016030101.14
DO  - 10.11648/j.ajae.s.2016030101.14
T2  - American Journal of Aerospace Engineering
JF  - American Journal of Aerospace Engineering
JO  - American Journal of Aerospace Engineering
SP  - 17
EP  - 21
PB  - Science Publishing Group
SN  - 2376-4821
UR  - https://doi.org/10.11648/j.ajae.s.2016030101.14
AB  - Natural convection in a square porous cavity under sinusoidal g-jitter has been studied for hydro dynamically and thermally anisotropic porous media. The difference with the homogeneous porous media under sinusoidal g-jitter with the anisotropic porous medium under sinusoidal g-jitter is the circulation pattern change. Fluid flow aligns with the porosity distribution. An effort has also been made to understand the non-Darcy effect for the above mentioned problem. It has been observed that at very low velocities, results from the porous media following Darcy’s model and Forchheimer’s equation (non- Darcy model) closely resemble each other. Velocity and pressure behave in a sinusoidal fashion with the same frequency as with the gravitational acceleration. Last but not the least an effort has also been made to understand the behaviors of average Nusselt number in the above mentioned situations.
VL  - 3
IS  - 1-1
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Author Information

P. Ghosh

Department of Mechanical Engineering Indian Institute of Technology(Banaras Hindu University), Varanasi, Uttar Pradesh, India
S. Tuteja

Department of Mechanical Engineering Indian Institute of Technology(Banaras Hindu University), Varanasi, Uttar Pradesh, India

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Plain Text BibTeX RIS

APA Style

P. Ghosh, S. Tuteja. (2015). Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter. American Journal of Aerospace Engineering, 3(1-1), 17-21. https://doi.org/10.11648/j.ajae.s.2016030101.14

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ACS Style

P. Ghosh; S. Tuteja. Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter. Am. J. Aerosp. Eng. 2015, 3(1-1), 17-21. doi: 10.11648/j.ajae.s.2016030101.14

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AMA Style

P. Ghosh, S. Tuteja. Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter. Am J Aerosp Eng. 2015;3(1-1):17-21. doi: 10.11648/j.ajae.s.2016030101.14

Copy | Download

@article{10.11648/j.ajae.s.2016030101.14,
  author = {P. Ghosh and S. Tuteja},
  title = {Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter},
  journal = {American Journal of Aerospace Engineering},
  volume = {3},
  number = {1-1},
  pages = {17-21},
  doi = {10.11648/j.ajae.s.2016030101.14},
  url = {https://doi.org/10.11648/j.ajae.s.2016030101.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajae.s.2016030101.14},
  abstract = {Natural convection in a square porous cavity under sinusoidal g-jitter has been studied for hydro dynamically and thermally anisotropic porous media. The difference with the homogeneous porous media under sinusoidal g-jitter with the anisotropic porous medium under sinusoidal g-jitter is the circulation pattern change. Fluid flow aligns with the porosity distribution. An effort has also been made to understand the non-Darcy effect for the above mentioned problem. It has been observed that at very low velocities, results from the porous media following Darcy’s model and Forchheimer’s equation (non- Darcy model) closely resemble each other. Velocity and pressure behave in a sinusoidal fashion with the same frequency as with the gravitational acceleration. Last but not the least an effort has also been made to understand the behaviors of average Nusselt number in the above mentioned situations.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter
AU  - P. Ghosh
AU  - S. Tuteja
Y1  - 2015/08/27
PY  - 2015
N1  - https://doi.org/10.11648/j.ajae.s.2016030101.14
DO  - 10.11648/j.ajae.s.2016030101.14
T2  - American Journal of Aerospace Engineering
JF  - American Journal of Aerospace Engineering
JO  - American Journal of Aerospace Engineering
SP  - 17
EP  - 21
PB  - Science Publishing Group
SN  - 2376-4821
UR  - https://doi.org/10.11648/j.ajae.s.2016030101.14
AB  - Natural convection in a square porous cavity under sinusoidal g-jitter has been studied for hydro dynamically and thermally anisotropic porous media. The difference with the homogeneous porous media under sinusoidal g-jitter with the anisotropic porous medium under sinusoidal g-jitter is the circulation pattern change. Fluid flow aligns with the porosity distribution. An effort has also been made to understand the non-Darcy effect for the above mentioned problem. It has been observed that at very low velocities, results from the porous media following Darcy’s model and Forchheimer’s equation (non- Darcy model) closely resemble each other. Velocity and pressure behave in a sinusoidal fashion with the same frequency as with the gravitational acceleration. Last but not the least an effort has also been made to understand the behaviors of average Nusselt number in the above mentioned situations.
VL  - 3
IS  - 1-1
ER  -

Copy | Download