Improved multiple linear regression based models for solar collectors

Kicsiny, Richárd

doi:10.1016/j.renene.2016.01.056

Cited by 22 publications

(20 citation statements)

References 22 publications

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“…The glass, thus, loses energy to the ambient at T a through heat transfer coefficient h w which is a function of the wind speed and to the sky at T s through irradiation by the heat transfer coefficient h rgs . Other researchers have used these heat transfer coefficients as estimated parameters (Kicsiny [14] ). In Eq.…”

Section: Solar Collector Modelingmentioning

confidence: 99%

“…However, the temperature at the outlet is essential for drying sensitive agricultural products (40-50°C), and for regeneration of adsorbents in an adsorption dryer system (50-80°C). Kicsiny [14] modeled the outlet temperatures for an existing solar collector based on experimental data for the environmental conditions, but this approach does not help to design the dimensions of the solar collector, especially solar collectors being operated under different conditions. The current work does include the collector outlet temperature and evaluates the effect of operational factors, such as air speed, and design factors, such as collector length.…”

Section: Introductionmentioning

confidence: 99%

“…The heat transfer coefficients in the work of some researchers were not investigated as function of time, space and air velocity. Some researchers have reported them as parameters to be estimated (Kicsiny, [14] Gao et al, [15] Alvarez et al [16] ). In the dynamic model of Buzás et al [17] spatial distribution is not considered as the collector is considered as a mixed tank.…”

Section: Introductionmentioning

confidence: 99%

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Distributed mathematical model supporting design and construction of solar collectors for drying

et al. 2017

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Coupled partial differential equations were developed to investigate which collector lengths are appropriate for drying and adsorbent regeneration under prevailing Ghanaian weather. Unlike approaches based on empirical data, the numerical model is more flexible. Effects of operational and design variables on outlet temperature and performance were systematically studied. Collector length and air speed affect performance indicators. Operational overall heat loss coefficient, an important characteristic of the collector, is not constant but varies during the day. With plausible physical parameters, the model describes the experimental data well. Collector lengths of 1.5 and 4.5 m suited drying and regeneration, respectively.

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Section: Solar Collector Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Distributed mathematical model supporting design and construction of solar collectors for drying

et al. 2017

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“…A rather common problem is building dynamic models of municipal heat networks to improve their efficiency. These usually rely on a set of differential equations and their solution is reduced to numerical solutions (Kicsiny, 2016;Stevanovic et al, 2009). Alternatively, a significant simplification of the model is considered via one or two equations for mean parameters, which are then solved using known dependences (Polyanin & Zaitsev, 2003).…”

Section: Introductionmentioning

confidence: 99%

“…Modeling of solar collectors is usually reduced to solving individual differential equations or sets of such equations. Kicsiny improved multiple linear regressions for solving differential equations that simulate a solar collector (Kicsiny, 2016). Kaminski & Krzyzynski presented a numerical and experimental study of a flat solar collector (Kaminski & Krzyzynski, 2016).…”

Section: Introductionmentioning

confidence: 99%

Solving a Sequence of Recurrence Relations for First-Order Differential Equations

Batukhtin

Batukhtina

Bass

et al. 2017

EURASIA J MATH SCI T

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A whole category of engineering and economic problems can be reduced to solving a set of differential equations. Downsides of known approaches for their solutions include limited accuracy numerical methods with stringent requirements for computational power. A direct analytical solution should be derived to eliminate such flaws. This research intends to derive such a solution for an n-dimensional set of recurrence relations for first-order differential equations, linearly dependent on the right side. The research methodology relies on successive integration of the considered set in view of the initial conditions. The overall solution was derived as a sum of products of exponential multipliers with constant coefficients that are defined through weights of a tree graph, which is a descriptor of successive integration. An analytical solution for an n-dimensional set of recurrent differential equations in view of the initial conditions has been derived for the first time in this research.

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Modified effectiveness and linear regression based models for heat exchangers under heat gain/loss to the environment

2018

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Developing mathematical models for describing heat exchanger outlet temperatures is of great importance for the practice, since heat exchangers are unavoidable elements in any applications, where heat transfer is needed between hydraulically separated fluid parts. The conventional, well-tried physically-based E model (standing for the known effectiveness-NTU approach) is recalled. This model assumes energy balance between the two sides of a heat exchanger (without any interaction with the environment). Based on studies in the literature, mathematical models with similar simplicity and usability to that of the E model, but under heat gain/loss to the environment, are still lacking in the field. This work intends to contribute to filling this gap with two proposed models, called ME and LR models. Based on measured data, all three models are accurate enough for general engineering/modelling purposes, nevertheless, the partly physically-based, partly empirical ME model is more precise than the E model if the heat gain/loss to the environment is considerable, and the empirical (black-box type) LR model is more precise than both the E and ME models if the heat gain/loss is not negligible. Furthermore, the outlet temperatures can be explicitly expressed from the simple linear algebraic relations characterizing all models alike.

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Improved multiple linear regression based models for solar collectors

Cited by 22 publications

References 22 publications

Distributed mathematical model supporting design and construction of solar collectors for drying

Distributed mathematical model supporting design and construction of solar collectors for drying

Solving a Sequence of Recurrence Relations for First-Order Differential Equations

Modified effectiveness and linear regression based models for heat exchangers under heat gain/loss to the environment

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