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Relevant bibliographies by topics / Nusselt's diffusion criterion

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Academic literature on the topic 'Nusselt's diffusion criterion'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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Journal articles on the topic "Nusselt's diffusion criterion"

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Gayvas, B., B. Markovych, A. Dmytruk, M. Havran, and V. Dmytruk. "The methods of optimization and regulation of the convective drying process of materials in drying installations." Mathematical Modeling and Computing 11, no. 2 (2024): 546–54. http://dx.doi.org/10.23939/mmc2024.02.546.

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In this work, based on fundamental principles well-established in the field of drying technology, optimization for the process of material drying involves controlling the mechanism of moisture transfer by influencing diffusion and thermo-diffusion processes. Based on the Kirpichov criterion, a quantitative measure of moisture transfer dynamics is ensured, while Nusselt numbers help control temperature gradient and efficient moisture removal. The article proposes the use of empirical relationships between Nusselt numbers and problem parameters such as moisture content, temperature, and airflow

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Altawallbeh, A. A. "Cross Diffusion Effect on Linear and Nonlinear Double Diffusive Convection in a Viscoelastic Fluid Saturated Porous Layer with Internal Heat Source." Fluids 6, no. 5 (2021): 182. http://dx.doi.org/10.3390/fluids6050182.

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Double diffusive convection in a binary viscoelastic fluid saturated porous layer in the presence of a cross diffusion effect and an internal heat source is studied analytically using linear and nonlinear stability analysis. The linear stability theory is based on the normal mode technique, while the nonlinear theory is based on a minimal representation of truncated double Fourier series. The modified Darcy law for the viscoelastic fluid of the Oldroyd type is considered to model the momentum equation. The onset criterion for stationary and oscillatory convection and steady heat and mass trans

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Akhmetov, K. M., G. S. Shaikhova, V. V. Zhurov, E. N. Khmyrova, and A. R. Yarullina. "Mathematical model of coal self-heating in a stack." Kompleksnoe Ispolʹzovanie Mineralʹnogo syrʹâ/Complex Use of Mineral Resources/Mineraldik Shikisattardy Keshendi Paidalanu 318, no. 3 (2021): 90–96. http://dx.doi.org/10.31643/2021/6445.32.

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The article presents a mathematical model of coal self-heating in the stack in which the heat exchange and gas exchange processes are described by a system of two non-linear differential equations of the second order with respect to the temperature t of coal self-heating and the volume fraction C of oxygen in the voids of the stack with boundary and initial conditions. The differential equations took into account that self-heating of coal in the stack and appearance of spontaneous combustion are observed in a relatively small layer adjacent to the surface of its contact with the air and called

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Lin, Wenqian, Peijie Zhang, and Jianzhong Lin. "Flow and Heat Transfer Property of Oldroyd-B-Fluid-Based Nanofluids Containing Cylindrical Particles in a Pipe." Processes 9, no. 4 (2021): 647. http://dx.doi.org/10.3390/pr9040647.

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Flow and heat transfer property of Oldroyd-B-fluid-based nanofluids containing cylindrical particles are studied in a pipe with circular cross-section in the range of Reynolds number (Re) from 100 to 2000, Weissenberg number (We) from 0.1 to 2, particle aspect ratio (β) from 2 to 16 and particle volume concentration (Φ) from 0.1% to 2.5%. The motion equation of Oldroyd-B fluid with particles, the equation for probability density function of particle orientation and convection-diffusion equation for particles are solved numerically. The numerical method used in the simulation is validated by co

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AKHMETOV, Kabiden, Denis BELOMESTNY, Gulnazira SHAIKHOVA, and Vitaliy ZHUROV. "Mathematical Model of Heat and Mass Transfer of Coal in a Stack." TRUDY UNIVERSITETA 3 (September 30, 2023). http://dx.doi.org/10.52209/1609-1825_2023_3_185.

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A mathematical model of coal’s self-heating in the stack is presented, where the heat exchange and gas exchange processes are described by a system of two non-linear differential equations of the second order concerning temperature t of coal’s self-heating and volume fraction C of oxygen in the cavities of the stack with boundary and initial conditions. The differential equations took into account that self-heating of coal in the stack and initiation of self-ignition are observed in a relatively small layer adjacent to the surface of the stack and called the zone of oxygen influence. In this m

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Biswas, Nirmalendu, Nirmal Kumar Manna, Dipak Kumar Mandal, and Rama Subba Reddy Gorla. "Magnetohydrodynamic mixed bioconvection of oxytactic microorganisms in a nanofluid-saturated porous cavity heated with a bell-shaped curved bottom." International Journal of Numerical Methods for Heat & Fluid Flow ahead-of-print, ahead-of-print (2021). http://dx.doi.org/10.1108/hff-10-2020-0668.

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Purpose This study aims to investigate thermo-bioconvection of oxytactic microorganisms occurring in a nanofluid-saturated porous lid-driven cavity in the presence of the magnetic field. The heating is provided through a bell-shaped curved bottom wall heated isothermally. The effects of the peak height of the curved bottom wall, bioconvection Rayleigh number (Rb), Darcy number (Da), Hartmann number (Ha), Peclet number (Pe), Lewis number (Le) and Grashof number (Gr) on the flow structure, temperature and the iso-concentrations of oxygen and microorganisms are examined and explained systematical

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Dissertations / Theses on the topic "Nusselt's diffusion criterion"

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Романько, С. Н., Владимир Константинович Лукашов, Володимир Костянтинович Лукашов та Volodymyr Kostiantynovych Lukashov. "Определение параметров математической модели процесса концентрирования серной кислоты испарением в поток нейтрального газа". Thesis, Сумский государственный университет, 2017. http://essuir.sumdu.edu.ua/handle/123456789/63063.

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Наиболее распространенный способ концентрирования серной кислоты заключается в барботировании высокотемпературных (600-1000°С) топочных газов через слой кислоты. Эти газы служат теплоносителем для нагревания кислоты и выпаривания воды, а также одновременно являются дополнительным компонентом парогазовой смеси, подобно перегонке с инертным газом. Полученные зависимости позволяют рассчитывать скорость испарения кислоты и коэффициент массоотдачи воды в газовую фазу, необходимые для моделирования процесса концентрирования серной кислоты испарением в поток нейтрального газа.

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Book chapters on the topic "Nusselt's diffusion criterion"

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Dmytruk, Veronika, Bogdana Gayvas, Bogdan Markovych, and Anatolii Dmytruk. "On the issues of optimization and regulation of the convective drying process of materials in drying units." In DRYING PROCESSES: APPROACHES TO IMPROVE EFFICIENCY. TECHNOLOGY CENTER PC, 2025. https://doi.org/10.15587/978-617-8360-09-2.ch5.

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The chapter presents the main approaches to optimizing and regulating the drying process of materials, taking into account the structural characteristics and operating principles of drying equipment. An essential factor in optimizing such processes is the consideration of the drying object and the mathematical methods used to describe drying problems. To this end, widely applied practical methods of mathematical modeling of capillary-porous and dispersed materials are analyzed, along with the specific features of models that describe heat and mass transfer in such materials. Particular attenti

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