Fluids Through Inclined Granular Media


  • Mercy A. Orukari Department of Mathematics/Computer Science Niger Delta University, Amassoma, Bayelsa State
  • A. T. Ngiangia University of Port Harcourt, P M B 5323 Choba, Port Harcourt, Nigeria


Granules, Isothermal, Adiabatic, Photosphere, Darcy’s equation, Taylor’s series expansion


A theoretical analysis of inclined fluids through granular media was carried out. Modified SDarcy’s equation and its approximate solution showed that for the isothermal case, increase in the argument and permeability of the granules result in a corresponding increase in the pressure exerted on the photosphere while increase in porosity and viscosity brings about a decrease in the pressure. For the adiabatic fluid case, the pressure is not affected as a result of increase in the angle of the granules. The same physical results occur in both the isothermal fluid case and that of the adiabatic fluid case as a result of increase in viscosity, porosity and permeability of the granules in the pressure exerted on the photosphere.



Randolph H. L and Kenneth R. L 2009. The Photosphere. Microsoft ® Encarta ®

Bestman, A R (1985). Flow of a Radiating Gas Between Concentric Rotating Spheres. Simulation and Control B. AMSE Press. 5(1): 19-22

Ngiangia, A. T; Amadi, O and Orukari M. A. (2011). The Effect of Radiation and Chemical Reaction on the Depletion of the Ozone Layer. Continental Journal of Renewable Energy. 2(1): 19-25.

Ngiangia, A. T and Orukari M. A. (2015). Slow Seepage of Polar Fluids Through Porous Media. Journal of Advances in Physics. 11(1): 2892-2896.

Alabi, O. O and Olayiwola, M. O (2015). Modeling Permeability with porosity and grain Size Diameter. Journal of the Nigerian Association of Mathematical Physics . 31: 223-230

Cunningham, R. E. and Williams, R. J. J. (1980). Diffusion in Gases and Porous Media, Plenum Press, New York.

Carrigy, N.; Pant, L. M.; Mitra, S. K.; Secanell, M. (2013). Knudsen diffusivity and permeability of pemfc microporous coated gas diffusion layers for different polytetrafluoroethylene loadings. Journal of the Electrochemical Society 160: F81-F89.

Pant, L. M.; Mitra, S. K.; Secanell, M. (2012). Absolute permeability and Knudsen diffusivity measurements in PEMFC gas diffusion layers and micro porous layers. Journal of Power Sources 206: 153-160.

Klinkenberg, L. J. (1941). The permeability of porous media to liquids and gases Drilling and Production Practice. American Petroleum Institute. 200-213

Jin, Y.; Uth, M.-F.; Kuznetsov, A. V.; Herwig, H. (2015). Numerical investigation of the possibility of macroscopic turbulence in porous media: a direct numerical simulation study. Journal. of Fluid Mechanics. 766: 76-103

R. B Bird, W. E Stewart and E. N Lightfoot. 2002 Transport Phenomena (John Wiley and Sons Inc.) second edition. Ch 4, P 148

Alabi, O. O and Sedara, S. O (2015). The Effect of Water Salinity on Permeability of Oil Reservoir. International Journal of Computers and Technology 11(3): 3121-3127.




How to Cite

Orukari, M. A., & Ngiangia, A. T. (2017). Fluids Through Inclined Granular Media. Asian Journal of Applied Sciences, 5(5). Retrieved from https://ajouronline.com/index.php/AJAS/article/view/4970

Similar Articles

You may also start an advanced similarity search for this article.