Biomechanics of Surface Runoff and Soil Water Percolation

Abstract:

In this study, the complex interaction of surface runoff with the biomechanics of soil water transport and heat transfer rate is theoretically investigated using a mathematical model that relies on the two phase flows of an incompressible Newtonian fluid (stormwater) within the soil (porous medium) and on the soil surface (runoff). The flow and heat transfer characteristics within the soil are determined numerically based on Darcy-Brinkman-Forchheimer model for porous medium coupled with the appropriate energy equation while analytical approach is employed to tackle the model for interacting surface runoff stormwater. The effects of various embedded biophysical parameters on the temperature distribution and stormwater transport within the soil and across the soil surface together with soil-runoff interface skin friction and Nusselt number are display graphically and discussed quantitatively. It is found that an increase in surface runoff over tightly packed soil lessens stormwater percolation rate but enhances both soil erosion and surface heat transfer rate.

• Periodical: Defect and Diffusion Forum (Volume 401)
• Pages: 36-46
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.401.36
• Online since: May 2020
• Authors: James Makol Madut Deng, Oluwole Daniel Makinde*
• Keywords: Groundwater Aquifer, Soil Erosion Rate, Soil Heat Transfer Rate, Soil Water Percolation, Surface Runoff

References

[1] J.F. Zuzel, R.R. Allmaras, R. Greenwalt, Runoff and soil erosion on frozen soils in Northeastern Oregon. J. Soil & Water Conserv. 37, 351-354, (1982).

[2] F. M. dos Santos, J. A. de Lollo, F. F. Mauad, Estimating the surface runoff from natural environment data, Management of Environmental Quality: An International Journal, 28(4), 515-531,(2017).

DOI: 10.1108/meq-07-2015-0137

[3] M. Danáčová, P. Valent, R. Výleta, Evaluation of surface runoff generation processes using a rainfall simulator: A small scale laboratory experiment. IOP Conf. Series: Earth and Environmental Science 95,022016(pp.1-8), (2017).

DOI: 10.1088/1755-1315/95/2/022016

[4] D.D. Davis, R. Horton, J. L. Heitman, T. S. Ren, An experimental study of coupled heat and water transfer in wettable and artificially hydrophobized soils, Soil Sci. Soc. Am. J., 78(1), 125–132, (2014).

DOI: 10.2136/sssaj2013.05.0182

[5] S.V. Nerpin, A.F. Chudnovskiy, Soil physics. Science, Moscow, (1967).

[6] Y. M. Denisov, Mathematical model of moisture, heat and salt transfer in the soil. Meteorology and Hydrology3, 71-78, (1978).

[7] L. Rundora, O. D. Makinde, Effects of Navier slip on unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions. Journal of Hydrodynamics,Ser. B, 27(6), 934-944, (2015).

DOI: 10.1016/s1001-6058(15)60556-x

[8] T. Chinyoka, O. D. Makinde, Analysis of non-Newtonian flow with reacting species in a channel filled with a saturated porous medium. Journal of Petroleum Science and Engineering, 121, 1-8, (2014).

DOI: 10.1016/j.petrol.2014.07.004

[9] L. Rundora, O.D. Makinde, Buoyancy effects on unsteady reactive variable properties fluid flow in a channel filled with a porous medium. Journal of Porous Media, 21(8), 721–737, (2018).

DOI: 10.1615/jpormedia.2018015707

[10] L. Rundora, O.D. Makinde, Effects of suction/injection on unsteady reactive variable viscosity non-Newtonian fluid flow in a channel filled with porous medium and convective boundary conditions. Journal of Petroleum Science and Engineering, 108, 328-335, (2013).

DOI: 10.1016/j.petrol.2013.05.010

[11] O.D. Makinde, T. Chinyoka, L. Rundora, Unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions. Computers and Mathematics with Applications, 62, 3343–3352, (2011).

DOI: 10.1016/j.camwa.2011.08.049

[12] S. Whitaker, Flow in porous media I: A theoretical derivation of Darcy's law, Transport in Porous Media. 1: 3–25, (1986).

DOI: 10.1007/bf01036523

[13] H.C. Brinkman, A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Applied Scientific Research,1, 27–34, (1949).

DOI: 10.1007/bf02120313

[14] D.A. Nield, A. Bejan, Convection in porous media, Springer-Verlag, New-York (1992).

[15] K.L. Bristow, R. Horton, Modeling the impact of partial surface mulch on soil heat and water flow, Theor. Appl. Climatol.,54(1/2), 85–98,(1996).

DOI: 10.1007/bf00863561

[16] C.G. Gurr, T.J. Marshall, J.T. Hutton, Movement of water in soil due to a temperature gradient, Soil Sci., 74, 335–345, (1952).

DOI: 10.1097/00010694-195211000-00001

[17] T. Fetzer, J. Vanderborght, K. Mosthaf, K. M. Smits, R. Helmig, Heat and water transport in soils and across the soil-atmosphere interface: 2. Numerical analysis, Water Resour. Res., 53, 1080–1100, (2017).

DOI: 10.1002/2016wr019983