The Effects of Moisture Content on the Temperature of Some Selected Soil Samples in the Presence of Internal Heat

Amos Wale Ogunsola; Olalekan Ayodeji Olaleye; Gbenga Adelekan Olalude

doi:10.21467/ias.12.1.1-15

Authors

Amos Wale Ogunsola Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology (LAUTECH), Ogbomoso, Oyo State, Nigeria
Olalekan Ayodeji Olaleye Department of Statistics, The Federal Polytechnic, Ede, Osun State, Nigeria https://orcid.org/0000-0003-2592-5395
Gbenga Adelekan Olalude Department of Statistics, The Federal Polytechnic, Ede, Osun State, Nigeria

DOI:

https://doi.org/10.21467/ias.12.1.1-15

Abstract

The effect of moisture content on the temperature of some selected soil samples in the presence of internal heat was studied. The governing equation was modeled using Bosenneque’s approximation base on some necessary assumptions by which the transfer occurred. These equations were non-dimensionalized by employing some standard dimensionless parameters and later reduced to ordinary differential equations using perturbation method. This was then solved analytically. The various effects of the physical parameters that materialized were examined on the unsaturated and saturated forms of some selected soil samples. With the aid of Matlab software, the numerical results were graphed for visual examination. It was observed that the presence of moisture content in these soils helped in boosting their temperatures as the solar radiation and internal heat increase.

Keywords:

Internal heat, Prandtl number, solar radiation

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References

Stephen Mantel, “Why are soils important?” ISRIC, World soil Information, 2021. [Online]. Available: https://www.isric.org [Accessed May 20, 2022]

Ross H. McKenzie. “Understanding the Effects of Sunlight, Temperature and Precipitation”. Top Crop Manager, 2017. [Online]. Available: htpps://www.topcropmanager.com/fertility-nutrients/back-to-basics-20879. [Accessed May 20, 2022]

P. Swagata, “Soil Temperature: Importance, Factors and its Control”. Soil Management, 2022. [Online]. Available: http://www.soilmanagementindia.com/soil-temperature/soil-temperature-importance-factors-and-its-control/3512 [Accessed May 20, 2022]

Delaloye R., “Contribution à l’étude du pergélisol de montage en zone marginale”. GeoFocus , vol. 10, no. 240, 2004.

Z. Gao, R. Horton, L. Wang, H. Liu and J. Wen, “An improved force-restore method for soil temperature prediction”. European Journal of Science, pp. 1365 – 2389, 2008. Doi: 10.1111/j.

Eastanugh Ben and Sternal-Johnson Chris (2022). “Zolushka for Earth”. Understanding Heat Budget, 2022. [Online]. Available: https://zolushka4earth.wordpress.com/2010/08/27/understanding-heat-budget [Accessed May 20, 2022]

Lienhard John H. IV and Lienhard John H. V., “A Heat Transfer Textbook”. Fourth Edition – Cambridge, Massachusetts, USA: Phlogiston Press, pg. 51-54, 2011.

Joseph Fourier, Jan Ingenhousz and James David Forbes, “Thermal Conduction”. Encyclopædia Britannica Ultimate Reference Suite, 2018. [Online]. Available: https://www.britannica.com/science/thermal-conduction [Accessed May 20, 2022]

A. Miyachi, “Thermal Conductivity”. Amada Miyachi America, 2021. [Online]. Available: http://www.amadamiyachi.com/glossary/glossthermalconductivity [Accessed May 20, 2022].

A. M. Salem and Rania Fathy, "Effects of Variable Properties on MHD Heat and Mass Transfer Flow Near a Stagnation Point Towards a Stretching Sheet in a Porous Medium with Thermal Radiation". Chinese Physical Society and IOP Publishing Ltd, vol. 21, no. 5, pp. 1 – 11, 2012. DOI: 10.1088/1674-1056/21/5/054701. http://iopscience.iop.org/cpb

Nasrin Rehena and M. A. Alim, “Thermal Performance of Nanofluid Filled Solar Flat Plate Collector”. International Journal of Heat and Technology, vol. 33, no. 2, 2015. http://dx.doi.org/10.18280/ijht.330203

F. O. Akinpelu, R. M. Alabison and O. A. Olaleye, “Variations in Ground Temperature in the Presence of Radiative Heat Flux and Spatial-Dependent Soil Thermophysical Property”. International Journal of Statistics and Applied Mathematics , vol. 2, no. 1, pp. 57-63, 2016.

Hazarika Gopal Chandra and Konch Jadav, “Effects of Variable Viscosity and Thermal Viscosity on Magnetohydrodynamic Free Convention Dusty Fluid along a Vertical Porous Plate with Heat Generation”. Turkish Journal of Physics, vol. 40, pp. 52 – 68, 2016.

B. R. Sharma and Buragohain Bismeeta (2016). “Effects of Soret, Dufor, Variable Viscosity and Variable Thermal Conductivity on Unsteady Free Convective Flow Past a Vertical Cone”. American Journal of Heat and Mass Transfer, vol. 4, no. 1, pp. 53 – 63, 2016.

Olaleye Olalekan A., Masopa Adekunle N., Bamigboye Jonah S. and Mubarak Sabiu, “Mathematical Modelling of Effects of Thermal Conductivity of Some Substances on Their Temperature in the Presence of Magnetic Field”, International Journal of Science, Engineering and Technology, vol. 9, no. 4, pp. 1 – 5, 2021.

Samara Salamene, Márcio Rocha Francelino, Rogério Mercandelle Santana, Carlos Ernesto Gonçalves, Reynaud Schaefer and Alberto Waingort Setzer, “Correlation between atmospheric physical factors and soil temperature of Keller Peninsula, King George Island, Antartica”. 19th World Congress of Soil Science, Soil Solutions for a Changing World. Brisbane, Australia, 2010.

Nwankwo Cyril and Ogagarue Difference, “An investigation of Temperature Variation at Soil Depths in Parts of Southern Nigeria”. American Journal of Environmental Engineering, vol. 2, no. 5, pp. 142 – 147, 2012.

Nwaigwe C., “Mathematical Modeling of Ground Temperature with Suction Velocity and Radiation”. American Journal of Scientific and Industrial Research , 238-241, 2010. DOI:10.5251/ajsir.2010.1.2.238.241

F. O. Akinpelu, O. A. Olaleye and R. M. Alabison, “A Comparison of the Effects of Solar Radiation on Sandy-Loam and Clay-Loam Soils with Convective Boundary Condition”. International Annals of Science, vol. 8, no. 1, pp. 130 – 137, 2020.

El-Fayez and Fayza Mohammed Nasser, “Effects of Chemical Reaction on the Unsteady Free Convection Flow past an Infinite Vertical Permeable Moving Plate with Variable Temperature”. Journal of Surface Engineering Materials and Advanced TEchnology , vol. 2, pp. 100-109, 2012.

B. Seshaiah, S.V.K. Varma and M.C. Raju, “The Effects of Chemical Reaction and Radiation on Unsteady MHD free Convective Fluid Flow Embedded in a Porous Medium with TIme-Dependent Suction with Temperature Gradient Heat Source”. International Journal of Scientific Knowledge , vol. 3, no. 2, pp. 12-24, 2013.

Mohammed Ibrahim S., “Radiation Effects on Mass Transfer Flow through a Highly Porous Medium with Heat Generation and Chemical Reaction”. IRSN Computational Mathematics, Volume 2013, Article ID 765408. https://doi.org/10.1155/2013/765408.

C. Israel-Cookey and G. Tay, “Transient Flow of a Radiating Hygromagnetic Fluid past an Infinite Vertical Plate”. AMSE , vol. 7, no. 3, 4, pp. 1-14, 2002.

Krishna M. Veera and Reddy M. Gangadhar, “MHD Convective Rotating flow past an oscillating porous plate with Chemical Reaction and Hall Effects”. IOP Conf. Series: Materials Science and Engineering (p. 149), 2016. IOP Publishing. https://iopscience.iop.org/article/10.1088/1757-899X/149/1/012217

R. A. Kareem and S. O. Salawu, “Variable Viscosity and Thermal Conductivity Effect of Soret and Dufor on Inclined Magnetic Field in non-Darcy Permeable Medium with Dissipation”. British Journal of Mathematics and Computer Science , vol. 22, no. 3, pp. 1-12, 2017. DOI: 10.9734/BJMCS/2017/33669

Reza Keimanesh and Cyrus Aghanajafi, “The Effect of Temperature-Dependent Viscosity and Thermal Conductivity on Micropolar Fluid over a Stretching Sheet”. Tehnicki vjesnik , vol. 24, no. 2, pp. 371-378, 2017.

Gary Reysa, “Ground Temperatures as a Function of Location, Season and Depth”. Build it Solar, The Renewable Energy Site for Do-It-Yourselfers, 2015. [Online]. Available: www.builditsolar.com/Projects/Cooling/EarthTemperatures.htm [Accessed May 20, 2022]

Braja M. Das, “Advanced Soil Mechanics”. Third Edition. Published in London & New York: Taylor & Francis Group, 2008. ISBN 0-203-93584-5

Structx, “Porosity Values for Various Soil Types”. Soil Properties, 2022. [Online]. Available: http://structx.com/Soil_Properties_006.html [Accessed May 20, 2022]

D. L. Turcotte and G. Schubert, "4". Geodynamics (2nd ed.). Cambridge, England, UK: Cambridge University Press. pp. 136–7, 2002. ISBN 978-0-521-66624-4