Mathematical Modelling of Traditional Stoves using the Thermal Network Approach

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
© 2018 by IJETT Journal
Volume-58 Number-1
Year of Publication : 2018
Authors : Jean Michel Sagouong, Ghislain Tchuen
DOI :  10.14445/22315381/IJETT-V58P201


Jean Michel Sagouong*, Ghislain Tchuen "Mathematical Modelling of Traditional Stoves using the Thermal Network Approach", International Journal of Engineering Trends and Technology (IJETT), V58(1),1-9 April 2018. ISSN:2231-5381. published by seventh sense research group

This work intended to build a mathematical model for traditional stoves commonly used in rural areas by means of the thermal network approach. The studied stoves had different shapes as around us, but the pots had the same shape and dimension. The three stoves were made of the same type of material (Aluminium) and operated with firewood. Each system (heating device and the pot) was subdivided into 8 isothermal subvolumes, interconnected to one another by a thermal resistance; each resistance corresponding to a particular type of heat transfer. A differential system of 8 equations governing the heat transfer in the ovens’ configurations was obtained, and the instantaneous thermal efficiency of each stove was estimated. Numerical simulation studies were carried out in order to appreciate the thermal behaviour of the systems. The model predicted the temperature agreement with the physical realities and needed a low computational time. From the comparative study, we concluded that amongst our studied stoves, the best heating device is that with an inverted and truncated cone (configuration 2) and is best for cooking since it reduces fuel consumption and therefore has a positive impact on deforestation.

[1] R.L. Edgar Thermal modeling, analysis and control using an electrical analogy. 22nd Mediterranean Conference on Control and Automation, 16-19, 2014.
[2] J.M. Sagouong et al. Prediction of radiative heat transfer in a combustion chamber. International Journal of Innovative Science, Engineering &Technology,Vol. 4 Issue 10, October 2017.
[3] B.K. Mulu. Box Solar Cooker User Manual. EiT M, Mekelle University, 2012.
[4] B.K. Mulu. Theoretical and Experimental Comparison of Box Solar Cookers with and without Internal Reflector. 2013 ISES Solar World Congress. Energy Procedia 57, 1613-1622, 2013.
[5] M. März. Thermal system modeling Thermal Modeling of Power-electronic Systems, 2000.
[6] A.F. Robertson. An Electrical-Analog Method for Transient Heat-Flow Analysis. Journal of Research of the National Bureau of Standards, 61, 1958.
[7] K&K Associates. Thermal network modeling handbook, developers of thermal analysis Kit 10141 Nelson St, USA, 1999- 2000.
[8] C. Farid. Radiation model for predicting temperature evolution in solar cooker. Universidad Nacional de Colombia, Dyna, 78, 68-74, 2011.
[9] R.L. Edgar, C. Sagues. Dynamic heat and mass transfer model of an electric oven for energy analysis. Applied Thermal Engineering, 93, 683-691, 2016.
[10] B. Wold. Household cookstoves, environment, health, and climate change. A new look at an old problem. The International Bank for Reconstruction and Development, Available online, 2011.
[11] I. David. What Impedes Efficient Adoption of Products?. Evidence from Randomized Variation in Sales Offers for Improved Cookstoves in Uganda, 2013.
[12] A. Oliver. What users can save with energy-efficient cooking stoves and ovens. Wuppertal Institute for Climate, Environment and Energy, 2014.
[13] K. Smith. Greenhouse implications of household stoves: An Analysis for India. Annual Review of Energy and the Environment, 25(1), 741-763, 2000.
[14] Pre-feasibility study for an improved cook stoves project in Northern Ghana. Submitted to: Care Danmark .Danish Energy Agency. Energica, 2009.
[15] G. Legros. The energy access situation in developing countries. A Review Focusing on the Least Developed Countries and Sub-Saharan Africa, 2009.
[16] B. Wold. Household Cookstoves, Environment, Health, and Climate Change: A New Look at an Old Problem. The Environment Department (Climate Change), 2011.
[17] V. Francesco. Appropriate solutions for cooking energy at household level in the Logone Valley (Chad-Cameroun). phD thesis, 2012.
[18] T. Sanchez. The hidden energy crisis. How policies are failing the world?s poor. Practical Action Publishing, 2010.
[19] FAO. Wood fuel surveys, Retrieved from. TopOfPage, 1983.
[20] C. Cleveland. Encyclopedia of Energy, 2004.
[21] K.R. Smith. Fuel combustion, air pollution exposure, and health: The situation in developing countries. Ann. Rev. Energy Environ, 18, 529-66, 1993.
[22] S.S. Lim. A Comparative Risk Assessment of Burden of Disease and Injury Attributable to 67 Risk Factors and Risk Factor Clusters in 21 Regions, 1990–2010: a Systematic Analysis for the Global Burden of Disease Study 2010. Lancet, 380, 2224– 60, 2012.
[23] J. Kaoma. Efficiency and emission characteristics of two Zambia cookstoves using charcoal and coal briquettes. Reports in the Energy, Environment & Development (EE&D) Series 36, Stockholm Environment Institute (SEI) in collaboration with the Swedish International Development Cooperation Agency (SIDA), Stockholm, Sweden, 1994.
[24] B.B. Olalekan. Development of an Improved Coal Stove for Cooking in Developing Countries. AU J.T., 12(3), 182-187, 2009.
[25] C. Peter. Environmental crisis or sustainable development opportunity? Transforming the charcoal sector in Tanzania: a policy note. Washington, DC: World Bank, 2009.
[26] E. Taylor. The Levels of Toxic Air Pollutants in Kitchens with Traditional Stoves in Rural Sierra Leone. J. Environ. Protect., 3(10), 1353-1363, 2012.
[27] L. Don. Mary Straub3 and David Msola Micro gasification cookstoves and pellet fuels from waste biomass: A cost and performance comparison with charcoal and natural gas in Tanzania . African Journal of Environmental Science and Technology, 9(6), 573-583, 2015.
[28] B. Kaale. Summary of biomass supply and consumption in Tanzania. Tanzania Specialist Organization on Natural Resources and Biodiversity Conservation (TASONABI), 2014.
[29]. Project. Ghana, Efficient Cook Stoves – Summary, climatecare, 2012.
[30] R.V.Andrews. Solving Conductive Heat Transfer Problems with Electrical-Analogue Shape Factors. Chem. Eng. Prog., 51, 67, 1955.
[31] J.E. Sunderland. Shape Factors for Heat Conduction through Bodies with Isothermal or Convective Boundary Conditions. Trans. ASHAE, 70, 237-241, 1964.
[32] G.M. Faeth. Radiation from turbulent diffusion flames. Annual Review of Fluid Mechanics and Heat transfer, 2, 1-38, 1989.
[33] A.C. Yunus. Radiation heat transfer. Heat and mass transfer: Fundamentals and applications fourth edition, 2011.
[34] J.A. Duffie. Solar Engineering of Thermal Processes. 2nd ed. New York: John Wiley and Sons, 1991.
[35] YW. Koholé. Comparative study of three thermosyphon solar water heaters made of flat-plate collectors with different absorber configurations. International Journal of Sustainable Energy, 36, 430-449, 2017.
[36] K. James. Measurements of heat transfer coefficients within convection ovens. Journal of Food Engineering, 72, 293–301, 2006.
[37] TRI MATIC. Tables des masses volumiques de diverses substances [en ligne], disponible sur : « http// », consulté le (05.01.2017 à 09 :32 :18), 2017.
[38] E. Frederic. Tirage d?une cheminée [en ligne], disponible sur : « http// », consulté le (08.03.2013 à 06 :53 :41), 2013.
[39] A.A. Samuel. Design. Construction and Testing of an Improved Wood Stove. AU J.T, 13(1), 12-18, 2009.
[40] V.D. Thi. Finite element modelling of the pyrolysis of wet wood subjected to fire. Fire Safety Journal, 81, 85–96, 2016.
[41] C. Laura. The improved cookstove sector in East Africa: Experience from the developing Energy Enterprise Programme (DEEP)”, GVEP International-Africa Regional Office, 2012.

Traditional oven, local stove, heat transfer, thermal system, Modelling, Simulation.