raw cotton , mass transfer , fibers, heat exchange , drying drum, process, differential equations, temperature.


The paper deals with the construction of a mathematical model of the cotton drying process, taking into account the thermal and mass transfer properties of raw cotton components. To determine changes in the temperature of the fibre and raw cotton seeds, the application of Fourier's law is proposed. The mathematical dependence of the change on the humidity of the cotton fibre and seeds along the length of the drum is determined. The rational value of the heat agent consumption in the process of drying raw cotton is also determined. Research methods are based on the provisions of modern trends in management theory and identification. Mathematical models are constructed using analytical methods and equations that describe the physical properties of an object. Methods for constructing a mathematical model usually rely on experimental methods, in particular, the method of acceleration curves, and as a result, the mathematical description becomes a priori inaccurate. It is shown that the mathematical model used is quite adequate for the dynamics of a real object, fully describes it, and characterizes it over the entire range of changes. The analysis of the developed mathematical model based on simulation showed the adequacy of the obtained mathematical dependence of the temperature regime of the cotton drying process with the consumption of heat agent.

ABSTRAK: Kajian ini membincangkan tentang penciptaan model matematik bagi proses pengeringan kapas, dengan mengambil kira terma dan sifat-sifat pindah jisim komponen kapas mentah. Bagi mendapatkan perubahan suhu fabrik dan biji benih kapas mentah, penggunaan hukum Fourier telah dicadangkan. Kebergantungan matematik pada perubahan kelembapan fabrik kapas dan biji benih sepanjang drum telah diperolehi. Nilai bersesuaian menggunakan ejen haba dalam proses pengeringan kapas kering mentah didapati. Kaedah kajian berdasarkan tren moden dalam teori pengurusan dan pengenalpastian. Model matematik dibina dengan menggunakan kaedah analisis dan persamaan yang menerangkan ciri-ciri fizikal pada objek. Kaedah bagi membina model matematik selalunya bergantung pada kaedah eksperimen, khususnya, kaedah pecutan melengkung, dan hasilnya, penyataan penaakulan matematik menjadi tidak tepat. Model matematik yang digunakan adalah cukup bagi objek dinamik sebenar, dengan penerangan penuh dan perincian ke atas keseluruhan perubahan. Analisis model matematik yang terhasil berdasarkan simulasi, dilihat cukup kebergantungan matematik terhasil melalui proses pengeringan kapas pada aturan suhu dengan ejen haba.


Download data is not yet available.


Cotton: World Statistics. Bulletin of the International Cotton Advisory Committee, NY, November 2015.,

Parpiev A.P, Mamatov A.Z, Usmankulov A.K. (2000) Maximum permissible temperatures in the drum dryer. IzvestiyaVuzov, 1:35-36.

Usmankulov A. (2002) Improving the efficiency of the drying process of raw cotton in a drum dryer, Diss. for the degree of candidate of technical Sciences Tashkent; pp128.

Mamatov A.Z. (1995) Modeling of raw cotton drying technology to improve the quality of fiber, Diss. On competition of a scientific degree. doctor of technical Sciences Tashkent; pp 248.

Siddikov I.X, Umurzakova D.M. (2019) Features of automatic control of technological parameters of water level in the drum steam boilers, Journal of Southwest Jiaotong University,54(3):1-10. DOI:10.35741/issn.0258-2724.54.3.1.

Siddikov I.X, Umurzakova D.M. (2019) Mathematical Modeling of Transient Processes of the Automatic Control System of Water Level in the Steam Generator, Universal Journal of Mechanical Engineering, 7(4):139-146. DOI:10.13189/ujme.2019.070401.

Siddikov I.X, Umurzakova D.M. (2019) Adaptive neuron-fuzzy regulating system of the temperature mode of the drum boiler. International Journal of Advanced Research in Science, Engineering and Technology, 6(1) 7869-7872. (2019).

Siddikov I.X, Umurzakova D.M, Bakhrieva H.A. (2020) Adaptive system of fuzzy-logical regulation by temperature mode of a drum boiler // IIUM Engineering Journal 21(1):182-192. v 2lil.1220.

Yunusova S.T. (2013) On the formalization of the optimization criterion of the cleaning process of raw cotton to Tashkent State Technical University. Bulletin. 3:35-40.

Sidikov I.H, Atajonov M.O, Yunusova S.T, Nashvandova. G.M. (2020) Adaptive analytical control of technological parameters based on the probability method of oil refining installations, European Science Review, Scientific Journal, 1(2):78-83

Kholmatov D. A, Yunusova S. T. Setmetov N. U, Khuzhanazarov U. O. (2014) Information and algorithmic technological monitoring system algorithmic processes processing of raw cotton., WCIS-Eighth World Conference on Intelligent Systems for Industrial Automatic. Toshkent .261-264

Siddiqov IH, Yunusov? ST, Izmailov? NR. (2018) Algorithm for optimization of the membership function of the fuzzy control model on the basis of the probabilistic approach. WCIS – 2018, Tenth World Conference on Intelligent Systems for Industrial Automation October 25-26, Tashkent, Uzbekistan, 251-254

Yunusova ST. (2019) Fuzzy logic model of temperature control of a drying unit based on a probabilistic approach. Collection of reports of the Republican scientific and practical conference on "Innovations in the development of information and communication technologies" April 15-17.

Kholmatov DA, Yunusova ST, Setmetov NU, Khuzhanazarov UO. (2019) Software tool monitoring process of processing raw cotton. International Journal of Advanced Research in Science, Engineering and Technology, 6(2): 8140-8143.

Igamberdiyev H.Z, Yusupbekov A.N, Zaripov O.O,Sevinov J.U. (2017) Algorithms of adaptive identification of uncertain operated objects in dynamical models. Procedia Computer Science.120. 854-861. DOI: 10.1016/j.procs.2017.11.318.

Sidikov I.H, Atajonov M.O, Atajonova S.B. (2019) Fuzzy-Situational Diagnostics of Technological Safety of Petrochemical Plants, 4(7):182-186. DOI:10.33564/IJEAST. 2019.v04i07.030




How to Cite

Yunusnova, Toshkenboyevna, S. ., Holmatov, Abdalimovich, D., Atajonov, Odiljonovich, M., & Huzanazarov, U. (2020). FORMALIZATION OF THE COTTON DRYING PROCESS BASED ON HEAT AND MASS TRANSFER EQUATIONS. IIUM Engineering Journal, 21(2), 256 - 265.



Engineering Mathematics and Applied Science