Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter
American Journal of Aerospace Engineering
Volume 3, Issue 1-1, February 2016, Pages: 17-21
Received: Aug. 8, 2015; Accepted: Aug. 10, 2015; Published: Aug. 27, 2015
Views 3356      Downloads 83
Authors
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
Article Tools
Follow on us
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.
Keywords
Anisotropic, G-Jitter, Forchheimer’s Equation, Non-Darcy, Porous Media, Sinusoidal
To cite this article
P. Ghosh, S. Tuteja, Natural Convection in an Anisotropic Non-Darcy in Differentially Heated Porous Cavity Under G-Jitter, American Journal of Aerospace Engineering. Special Issue: Space Laboratories: History, Researches, Prospects. Vol. 3, No. 1-1, 2016, pp. 17-21. doi: 10.11648/j.ajae.s.2016030101.14
References
[1]
A.V. Sedelnikov “Classification of microaccelerations according to methods of their control,” Microgravity Scienes and Technology, vol. 27, No 3, 2015, pp.327–334.
[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.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186