System czwartej generacji to efekt ciągłego rozwoju technologicznego w dziedzinie geotermii. Daje on możliwość wykorzystania bogactwa energii zgromadzonej w ziemi w sposób bardziej efektywny, ekonomiczny i ekologiczny.
The present paper deals with thermal behaviour analysis of an axisymmetric functionally graded thermosensitive hollow cylinder. The system of coordinates are expressed in cylindrical-polar form. The heat conduction equation is of time-fractional order02<α≤, subjected to the effect of internal heat generation. Convective boundary conditions are applied to inner and outer curved surfaces whereas heat dissipates following Newton’s law of cooling. The lower surface is subjected to heat flux, whereas the upper surface is thermally insulated. Kirchhoff’s transformation is used to remove the nonlinearity of the heat equation and further it is solved to find temperature and associated stresses by applying integral transformation method. For numerical analysis a ceramic-metal-based functionally graded material is considered and the obtained results of temperature distribution and associated stresses are presented graphically.
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This work deals with the electrically conductive textiles for heat generation in orthopedic compression supports. This study aimed to develop compression knitted structures with integrated electro-conductive yarns and investigate their heat generation characteristics and temperature changes during the time and under stretch which is required to generate compression. Combined half-Milano rib structured knitted fabrics were made by using silver (Ag) coated PA yarn of linear density of 66 tex and 235 tex, respectively. Six variants of specimens were developed by using different amount of electro-conductive yarns in a pattern repeat. It was found that stretch negatively influences temperature values as well as time in which the required temperature is reached. Therefore, the final wearing conditions have to be summed up during the designing of compression orthopedic heated supports.
The three-dimensional magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid over a stretching surface set into a porous medium with variable thermal conductivity and heat generation/absorption has been researched. Conservation laws of mass, momentum and energy are changed into ordinary differential equations, which are numerically dealt with by applying the fourth order Runge-Kutta integration scheme in relationship with shooting procedure. The dimensionless velocity, temperature, skin friction coefficient and the local Nusselt number inside the boundary layer are processed and examined through tables and illustrations for various physical parameters. The numerical outcomes obtained for the specific case are sensible in great concurrence with the existing results. Results indicate that momentum boundary layer reduces for the Hartman number and Casson fluid parameter. Temperature is found as an enlightened function for the heat generation and thermal conductivity parameter.
A study has been made on the flow and heat transfer of a viscous fluid in a vertical channel with first order chemical reaction and heat generation or absorption assuming that the viscosity and thermal conductivity are dependent on the fluid temperature. The temperature of the walls is maintained constant. Under these assumptions, the governing balance equations of mass, momentum and energy are formulated. The dimensionless forms of the governing equations are coupled and non-linear, which cannot be solved analytically and therefore require the use of the Runge-Kutta fourth order along with shooting technique. Graphs for velocity and temperature under different values of parameters involved are plotted and discussed. The skin friction and Nusselt number on the channel walls are also computed and discussed. Furthermore, the investigation found that variable viscosity and variable thermal conductivity enhance the velocity and temperature of the flow.
In this study, the spectral perturbation method and the spectral relaxation method are used to solve the nonlinear differential equations of an unsteady nonlinear MHD flow in the presence of thermal radiation and heat generation. The SPM is mainly based on series expansion, generating series approximation coupled with the Chebyshev spectral method. The numerical results generated using the spectral perturbation method were compared with those found in the literature, and the two results were in good agreement.
The present study investigates the thermal performance of longitudinal a porous fin with temperature-dependent internal heat generation. The Darcy model is utilized to obtain the differential form of the governing equation that solves the nonlinear temperature distribution equation using the method of variation of parameters. Although this method is applied to solve both linear and nonlinear differential equations, there exist rare applications of this method to solve nonlinear heat transfer problems. In the present study, we applied the method to estimate the thermal analysis of the porous fin exposed to convection. The heat generation is assumed as a function of temperature. The effects of the convection parameter Nc, internal heat generation ɛ, porosity Sh, and generation number G parameter on the dimensionless temperature distribution are discussed in detail. The accuracy of the variation of parameters method is verified through comparison with homotopy perturbation method and the Matlab bvp4c solver (NUM). The results have disclosed that the variation of parameters method can be used as a very effective and practical approach for further studies of the porous medium.
The problem of mixed convection flow of a heat generating/absorbing fluid in the presence existence of Lorentz forces in a vertical micro circular subjected to a periodic sinusoidal temperature change at the surface has been studied taking the first-order slip and jump effects into consideration. The research analysis is carried out by considering a fully developed parallel flow and steady periodic regime. The governing equations, together with the constraint equations which arise from the definition of mean velocity and temperature, are written in a dimensionless form and mapped into equations in the complex domain. One obtains two independent boundary value problems, which provide the mean value and the oscillating term of the velocity and temperature distributions. These boundary value problems are solved analytically. A parametric study of some of the physical parameters involved in the problem is conducted. The results of this research revealed that the magnetic field has a damping impact on the flow and results in decreases in fluid velocity for both air and water. Furthermore, the presence of the heat generation parameter is seen to enhance the temperature distribution and this is reflected as an increase in the magnitude of the oscillation dimensionless velocity, whereas in the presence of heat absorption a reversed trend occurs.
Kogeneracja - wspólne wytwarzanie energii elektrycznej i ciepła przynosi oszczędności w zużyciu paliw pierwotnych. W związku z tym przyczynia się do redukcji emisji szkodliwych substancji do atmosfery (CO2), co również oznacza zmniejszenie kosztów zewnętrznych wytwarzania energii i ciepła. Do tej pory cykle kogeneracyjne nie były stosowane w ciepłowniach wyposażonych w kotły wodne (wodno-rurowe lub płomienicowo-płomieniówkowe). W artykule przedstawiono koncepcję innowacyjnego obiegu kogeneracji, który współpracuje z wodnym kotłem ciepłowniczym lub przemysłowym, a instalacja kogeneracji nie zmienia zatwierdzenia parametrów technicznych kotła i nie ogranicza zakresu jego użytkowania. Przedstawiono opracowane obiegi porównawcze w układach h-s i T-s, pasmowy wykres energii Sankey'a oraz wykresy wybranych wskaźników kogeneracji. Ponadto przedstawiono wskaźniki ekonomiczne kogeneracji dla kotłów wodnych.
An investigation has been carried out for the MHD 3-dimensional flow of nanofluid over a shrinking sweet saturating a porous media in the presence of thermal radiation and heat generation. Convective boundary conditions for the flow phenomena are used in the present analysis. The governing equations are reduced to ODEs employing suitable similarity transformations. The solutions of formulated differential equations have been attained mathematically by fourth order R-K technique along with the shooting method. The impact of the governing constraints on momentum, heat, and local Nusselt number, are explored. It is noticed that the momentum and heat decrease with raise in the porosity variable, temperature reduces with an enhance in the thermal radiation variable, and temperature enhances with an enhance in the heat source/sink parameter.
Investigation of an MHD convective flow of viscous, incompressible and electrically conducting fluid through a porous medium bounded by two infinite vertical parallel porous plates is carried out. Forchheimer-Brinkman extended Darcy model is assumed to simulate momentum transfer within the porous medium. A magnetic field of uniform strength is applied normal to the plates. The analytical results are evaluated numerically and the presented graphically to discuss in detail the effects of different parameter entering into the problem.
In the present study, we have investigated entropy generation on a magnetohydrodynamic fluid flow and heat transfer over a stretching cylinder with a porous medium in slip flow regime. A uniform heat source and radiation is also considered. Similarity transformation has been applied for making an ordinary differential equation from nonlinear governing partial differential equations. The numerical solution for the set of nonlinear ordinary differential equations has been obtained by using the fourth-order Runge-Kutta scheme together with the shooting method. The effects of pertinent parameters such as the magnetic field parameter, permeability parameter, slip parameter, Prandtl number and radiation parameter on the fluid velocity distribution, temperature distribution, entropy generation and Bejan number are discussed graphically.
Unia Europejska od lat finansuje wiele projektów międzynarodowych, które mogą istotnie ułatwić wdrażanie OZE w życiu codziennym społeczności lokalnych. Niestety, wiedza o tych projektach wciąż nie jest powszechna. Dlatego często się zdarza, że dany problem jest przedmiotem niezależnych prac, podczas gdy wystarczyłoby skorzystać z już istniejących, wypracowanych narzędzi i argumentów.
An analysis is presented to investigate the unsteady magnetohydrodynamic (MHD) mixed convection boundary-layer flow of a micropolar fluid over a vertical wedge in the presence of thermal radiation and heat generation or absorption. The free-stream velocity and surface temperature are assumed to be oscillating in magnitude but not in the direction of the oncoming flow velocity. The governing equations have been solved by two distinct methods, namely, the finite difference method for the entire frequency range, and the series solution for low frequency range and the asymptotic series expansion method for the high frequency range. Numerical solutions provide a good agreement with the series solutions. The amplitudes of skin friction and couple stress coefficients are found to be strongly dependent on the Richardson number and the vortex viscosity parameter. The Prandtl number, the conduction-radiation parameter, the surface temperature parameter and the pressure gradient parameter significantly affect the amplitudes of skin friction, couple stress and surface heat transfer rates. However, the amplitudes of skin friction coefficient are considerably affected by the magnetic field parameter, whereas the amplitudes of heat transfer rate are appreciably changed with the heat generation or absorption parameter. In addition, results are presented for the transient skin friction, couple stress and heat transfer rate with the variations of the Richardson number, the vortex viscosity parameter, the pressure gradient parameter and the magnetic field parameter.
The aim of this work is to study the mixed convection boundary layer flow from a horizontal surface embedded in a porous medium with exponential decaying internal heat generation (IHG). Boundary layer equations are reduced to two ordinary differential equations for the dimensionless stream function and temperature with two parameters: ε, the mixed convection parameter, and λ, the exponent of x. This problem is numerically solved with a system of parameters using built-in codes in Maple. The influences of these parameters on velocity and temperature profiles, and the Nusselt number, are thoroughly compared and discussed.
Purpose: In this study the computational and experimental electroporation model with human aorta tissue is made in order to examine the reduction of smooth muscle cells. Methods. The segments in native state of the aorta are treated by electroporation method through a series of electrical impulses from 50 V/cm to 2500 V/cm. For each patient we analyzed one sample with and one sample without electroporation as a control. In the computational study, electrical field distribution is solved by the Laplace equation. The Pennes Bioheat equation without metabolism and blood perfusion heating is used to solve heat transfer problems. Different conductivity values are used in order to fit the experimental results. Results: Experimental histology has shown us that there are a smaller number of vascular smooth muscle cells (VSMC) nuclei at the tunica media, while the elastic fibre morphology is maintained 24 h after electroporation. In the computational model, heat generation coupled with electrical field is included. The fitting procedure is applied for conductivity values in order to make material properties of the aorta tissue. The fitting procedure gives tissue conductivity of 0.44 [S/m] for applied electrical field of 2500 V/cm. Conclusions: Future studies are necessary for investigation of a new device for in-vivo ablation with electroporation of plaque stenosis. It will open up a new avenue for stenosis treatment without stent implantation.
W artykule przedstawiono sposób rozmieszczenia płaskich kolektorów słonecznych na ograniczonej, płaskiej i kwadratowej powierzchni. Problem efektywnego rozmieszczenia kolektorów słonecznych wynika z występowania efektu zasłaniania się kolejnych rzędów kolektorów słonecznych przez rzędy poprzedzające. Ustalenie odpowiedniej odległości pomiędzy rzędami nie jest łatwe, gdyż determinuje ją wiele czynników. Przeprowadzona w pracy analiza zwraca uwagę na kluczowe dla wyników rozważań czynniki, określając ich znaczenie dla efektywnego rozmieszczenia płaskich kolektorów słonecznych. Praca w ten sposób wskazuje istniejące problemy logistyczne, a uzyskane wyniki dają wskazówki, jaką odległość pomiędzy poszczególnymi rzędami kolektorów należy przyjąć, w zależności od istniejących uwarunkowań.
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The article presents method of localization of plate solar collectors on a limited, flat and square surfaces. Major problem of effective deployment of mentioned devices is effect of overlaying successive rows of solar collectors by rows preceding. Determining appropriate distance between rows is not easy because it determined by many factors. Presented paper shows analysis of key factors determining it importance for the effective distribution of solar collectors. Our work in this manner indicates existing research problems and the results give hints about what distance between rows of collectors should be adopted depending on prevailing conditions.
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This paper presents some methods of mesh smoothing when using cutting tool inserts with complex geometry of the cutting edge and the rake face. Several sets of meshing parameters are proposed and their influences on the performance of FEM simulation of the cutting process are presented. In addition, both mechanical and thermal characteristics of the cutting process are compared for four groups of meshing parameters. The simulations were carried out for a Ti6Al4V alloy using TiAlN coated carbide commercial cutting tool insert. It was documented that accurate representation of the tool micro-geometry influences the simulation results.
Zastosowanie systemów informatycznych wspierających wytwarzanie ciepła i energii elektrycznej może przynieść znaczący wzrost produkcji w skojarzeniu i przez to obniżyć energochłonność produkcji ciepła użytkowego. Szczególnie duży potencjał istnieje przy jednoczesnym wytwarzaniu ciepła użytkowego w parze technologicznej i wodzie sieciowej na kilku turbozespołach, gdy ciśnienie w upuście technologicznym utrzymywane jest poprzez przymknięcie zaworu przed częścią SP/NP turbiny.
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Coraz większe zanieczyszczenie powietrza i ciągły wzrost cen paliw sprawiają, że ekologia oraz ekonomia stanowią kluczowe kwestie przy wytwarzaniu energii. Poszukiwane są takie technologie, które pozwolą zmniejszyć emisję spalin przy zmniejszeniu zużycia paliwa. Rozwój gospodarczy w Polsce sprawił, że w najbliższych latach będzie się odnotowywało ciągły wzrost zapotrzebowania na energię elektryczną i cieplną. Dlatego też już teraz do wytwarzania energii należy wprowadzać takie technologie, które pozwolą na obniżenie zużycia paliwa oraz redukcję emisji spalin do atmosfery. Znane technologie odnawialnych źródeł energii nie są w stanie pokryć pełnego zapotrzebowania na energię oraz są stosunkowo drogie. Trzeba więc znaleźć taką technologię, która będzie pomostem pomiędzy technologią obecnie stosowaną a odnawialnymi źródłami energii. Okazuje się, że takie wymagania spełnia produkcja energii elektrycznej i cieplnej w kogeneracji. Układy te odznaczają się wysoką sprawnością, co pozytywnie wpływa na aspekt ekonomiczny i ekologiczny. Mogą być one stosowane do produkcji ciepła, które jest przesyłane do sieci ciepłowniczej. W pracy dokonano ogólnej charakterystyki polskiego rynku produkcji ciepła. Omówiono również główne elementy układu wytwarzania energii w kogeneracji oraz zasady jego działania.
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Growing air pollution and fuel prices make the ecology and economy are key issues in energy production. Are searched such technologies that will reduce emissions by reducing fuel consumption. Economic development in Poland made in the coming years, the demand for electricity and heat will increase, therefore, now to produce energy should be introduced such technologies, which allow for lower fuel consumption and reduced emissions to the atmosphere. Known today, renewable energy technologies are not able to cover the full demand for energy and are relatively expensive. We must therefore find the technology that will be a bridge between the technology used today and renewable energy sources. It turns out that this requirement meets the production of electricity and heat in cogeneration. These systems are characterized by high efficiency, which positively affects the economic and ecological aspects. They can be used in the production of heat that is transferred to the district heating network. This article presents the general characteristics of the Polish market of heat production. It also discusses the main elements of the energy production in cogeneration and the principle of its operation.
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