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Tytuł:
A numerical examination of an unsteady nonlinear MHD flow in the presence of thermal radiation and heat generation
Autorzy:
Agbaje, T. M.
Leach, P. G. L.
Powiązania:
https://bibliotekanauki.pl/articles/1839890.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przepływ MHD
promieniowanie cieplne
wytwarzanie ciepła
unsteady MHD flow
spectral perturbation method
spectral relaxation method
thermal radiation
heat generation
Opis:
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.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 1; 1-17
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influence of heat generation/absorption on mixed convection flow behaviour in the presence of Lorentz forces in a vertical micro circular duct having time periodic boundary conditions: steady periodic regime
Autorzy:
Aina, B.
Isa, S.
Powiązania:
https://bibliotekanauki.pl/articles/1839783.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
konwekcja mieszana
mikrokanał
wytwarzanie ciepła
poślizg
mixed convection
micro circular duct
Lorentz force
heat generation
heat absorption
slip and jump
time
Opis:
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.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 4; 1-21
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Performance Analysis of a Thermoelectric Cooler Placed between Two Thermoelectric Generators for Different Heat Transfer Conditions
Autorzy:
Alsaqoor, Sameh
Powiązania:
https://bibliotekanauki.pl/articles/24201669.pdf
Data publikacji:
2023
Wydawca:
Polskie Towarzystwo Inżynierii Ekologicznej
Tematy:
thermoelectric cooler
sandwich TEC
TEG performance
thermoelectric generator
heat transfer conditions
enhancing power generation
low energy harvesting
renewable energy induction
Opis:
The thermoelectric cooler (TEC) and thermoelectric generator (TEG) modules have several appealing features, including fixed parts, high reliability, low maintenance costs, and seamless connection with other heating equipment, accompaniment, can be powered by a variety of low-energy renewable energy sources such as solar water/air collectors, ground heat exchangers or heat from biomass. The thermoelectric assembly was integrated into the TEC using the TEG in this study. A prototype was developed in which recently developed thermoelectric modules were integrated into a thermoelectric cooler. For this purpose, a TEC sandwiched between two TEGs with different heat transfer conditions was established, to simulate the heat transfer and thermoelectric behavior of both the TEG and the TEC system, and evaluate the effect of the combined TEG-TEC on the performance parameters of the good system by comparing different cooling modes ranging from natural convection, forced convection, and water-cooling tests. It was shown that to the natural convection of heat transfer, as the TEC voltage increases, the hot surface temperature of the upper TEG increases, and the cold surface temperature of the lower TEG decreases, where the lowest TEC temperature reaches 1.36 A. When using forced convection (by using a fan), the temperature profile decreases over time, starting at around 70 °C for 7V, and after almost 60 minutes, the temperature drops to around 45 °C for 3V. This turned out to be a match between experiment and theory in all traces shown, with a voltage difference of 25 mV for 3V TEC and ending at 70 mV for 8V TEC.
Źródło:
Journal of Ecological Engineering; 2023, 24, 4; 27--35
2299-8993
Pojawia się w:
Journal of Ecological Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effects of non-uniform heat generation /absorption and radiation on hydromagnetic dissipative flow over a porous nonlinear stretching surface with heat and mass fluxes
Autorzy:
Anjali Devi, S. P.
Agneeshwari, M.
Powiązania:
https://bibliotekanauki.pl/articles/264962.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
magnetohydrodynamika
strumień ciepła
strumień masy
absorpcja ciepła
MHD
heat flux
mass flux
non-uniform heat generation/absorption
Opis:
Forced convective heat and mass transfer flow of hydromagnetic, radiating and dissipative fluid over a porous nonlinear stretching sheet in the presence of non-uniform heat generation/absorption is investigated numerically. The system of nonlinear partial differential equations governing the physical problem is reduced to nonlinear ordinary differential equations by means of suitable similarity transformations and are solved numerically using Nachtsheim Swigert shooting iteration scheme together with fourth order Runge Kutta method. The effects of various physical parameters on velocity, temperature and concentration distributions are depicted graphically. The important findings of this study exhibited that the effect of non-uniform heat generation/absorption parameter and radiation parameter have significant role in controlling thermal boundary layer thickness and temperature. Numerical values of the skin friction coefficient, temperature and concentration at the wall are shown in a tabula form. A comparison is made with previously published data which results in good agreement.
Źródło:
International Journal of Applied Mechanics and Engineering; 2019, 24, 4; 36-52
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Entropy generation and squeezing flow past a Riga plate with Cattaneo-Christov heat flux
Autorzy:
Atlas, M.
Hussain, S.
Sagheer, M.
Powiązania:
https://bibliotekanauki.pl/articles/202419.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nanowłókna
konwekcyjne warunki brzegowe
strumień ciepła Cattaneo-Christova
generowanie entropii
squeezing flow
Riga plate
nanofluids
convective boundary conditions
Cattaneo-Christov heat flux
entropy generation
Opis:
In this article, we investigate the convective heat transfer of the two-dimensional unsteady squeezing flow past a Riga plate. To examine the heat transfer, Cattaneo-Christov heat flux model is used. Influence of entropy generation on heat transfer has been investigated numerically. With the help of suitable similarity transformation, the governing partial differential equations (PDEs) are converted into ordinary differential equations (ODEs). The obtained system of non-linear ordinary differential equations subject to the convective boundary conditions is solved by the shooting method using the computational software MATLAB. To strengthen the reliability of the results obtained by the shooting method, the MATLAB built-in function bvp4c has been used. The graphs show the effect of different physical parameters for velocity, temperature, concentration and tables are presented to observe the behaviour of skin friction and sherwood number under the influence of certain physical parameters. It is observed that for increasing values of thermal relaxation parameter, the temperature profile increases and an opposite behaviour is shown for the concentration profile. Moreover, with an increase in the Brinkman number, the entropy generation increases.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 3; 291-300
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling and numerical and experimental investigations of contact phenomena and wear processes in a mechanical friction clutch
Modelowanie i badania numeryczne i eksperymentalne zjawisk kontaktowych i procesów w mechanicznym sprzęgle ciernym
Autorzy:
Awrejcewicz, J.
Grzelczyk, D.
Powiązania:
https://bibliotekanauki.pl/articles/1364811.pdf
Data publikacji:
2012
Wydawca:
Sieć Badawcza Łukasiewicz. Przemysłowy Instytut Motoryzacji
Tematy:
procesy zużywania
sprzęgło
tarcie
wytwarzanie ciepła
clutch
friction
heat generation
wear processes
Opis:
This work presents numerical and experimental investigations of contact phenomena and wear processes occurring on the contact surface of linings of a mechanical friction clutch. These problems have already been studied earlier, but only simplified mathematical models have been used and applied. Our work takes into account elasticity and abrasive wear properties of material of friction linings rubbing themselves. A general non-linear differential model of wear and a wear model in the integral form are considered. Besides, we present results describing thermal phenomena (heat generation and its propagation) occurring in the considered system. Many interesting results are obtained, illustrated and discussed. Finally, numerical results are also compared with the experimental data.
W pracy przedstawione zostały badania numeryczne i eksperymentalne zjawisk kontaktowych i procesów zużywania występujących na powierzchni styku okładzin mechanicznego sprzęgła ciernego. Rozważane zagadnienia badane były wcześniej, jednakże do ich opisu stosowane i wykorzystywane były wówczas uproszczone modele matematyczne. Przedstawiona praca uwzględnia sprężystość i właściwości ścierne materiałów trących się okładzin sprzęgła. Do symulacji procesów zużywania wykorzystany został zarówno nieliniowy różniczkowy model zużycia jak i model zużycia w postaci całkowej. Ponadto w pracy przedstawione zostały wyniki opisujące zjawiska cieplne (wytwarzanie i rozchodzenie się ciepła) w rozważanym układzie ciernym. Otrzymano wiele interesujących wyników, które zostały przedyskutowane i zilustrowane na wielu wykresach. Wyniki numeryczne porównane zostały z wynikami eksperymentalnymi.
Źródło:
Archiwum Motoryzacji; 2012, 1; 5-22
1234-754X
2084-476X
Pojawia się w:
Archiwum Motoryzacji
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Equivalent Carbon Dioxide Emission in Useful Energy Generation in the Heat-Generating Plant – Application of the Carbon Footprint Methodology
Autorzy:
Chłopek, Zdzisław
Lasocki, Jakub
Melka, Krzysztof
Szczepański, Krystian
Powiązania:
https://bibliotekanauki.pl/articles/1839094.pdf
Data publikacji:
2021
Wydawca:
Polskie Towarzystwo Inżynierii Ekologicznej
Tematy:
carbon dioxide
CO2
greenhouse gases
GHG
emission
energy generation
heat plant
coal
carbon footprint
CF
Opis:
The energy sector worldwide is a significant source of air pollutant emission. In Poland, the vast majority of heat and electricity is generated in coal-fired heat and power plants. There is a common belief that high greenhouse gas emissions from the energy sector in Poland are mainly due to the technological processes involving the conversion of energy by burning fossil fuels. However, coal mining also causes a high environmental burden. This paper aimed to determine the carbon footprint of a typical hard coal-fired heating plant in Poland, taking into account mining of hard coal, its transport to the heating plant and useful energy generation in the heating plant. The investigation carried out allowed comparing the process steps and determining which of them is the dominant source of the greenhouse gas emissions. The obtained results show that hard coal mining and hard coal transport account for almost 65% and 5% of total equivalent carbon dioxide emission, respectively. Energy transformations in the heating plant account for 30% of total equivalent carbon dioxide emission, where approx. 29% is due to hard coal burning and 1% due to electricity consumption. The relative shares of carbon dioxide, methane and nitrous oxide in total equivalent carbon dioxide emission account for approx. 91%, 4% and 5%, respectively.
Źródło:
Journal of Ecological Engineering; 2021, 22, 2; 144-154
2299-8993
Pojawia się w:
Journal of Ecological Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Skojarzone wytwarzanie energii elektrycznej i ciepła w systemie kogeneracji
Combined heat and power production in cogeneration system
Autorzy:
Dańko, R.
Szymała, K.
Holtzer, M.
Holtzer, G.
Powiązania:
https://bibliotekanauki.pl/articles/381780.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
kogeneracja energii
wytwarzanie ciepła
wytwarzanie energii
energy cogeneration
heat generation
power generation
Opis:
W artykule przedstawiono podstawowe informacje dotyczące skojarzonego wytwarzania energii elektrycznej oraz ciepła w systemie CHP (Combined Heat and Power - CHP). Publikacja jest związana z realizacją przez przedsiębiorstwo Inproel-3 sp z o.o., przy udziale Wydziału Odlewnictwa AGH projektu celowego NOT pt. „Opracowanie i wdrożenie do produkcji innowacyjnego, wysokosprawnego urządzenia kogeneracyjnego zasilanego mieszankami zawierającymi poprodukcyjne tłuszcze stałe”. Kogeneracja jest uznawaną na całym świecie, sprawdzoną technologią, wytwarzania energii, która jest uważana za czystszą od tradycyjnych technologii wytwarzania oddzielnie ciepła i energii elektrycznej. Przyszłość kogeneracji na światowych rynkach energii leży w korzyściach eksploatacyjnych, finansowych, środowiskowych i prawnych, jakie przynosi w przeliczeniu na jednostkę paliwa.
The paper presents basic information about the combined production of electricity and heat in the system of CHP (Combined Heat and Power). The publication is linked to the performance of the project “Development and implementation of the production of innovative, high performance powered cogeneration unit post-production mixtures containing solid fats” carried out by the company Inproel-3, with the participation of the Faculty of Foundry Engineering AGH University of Science and Technology . Cogeneration is recognized around the world, proven technology of energy production, which is considered cleaner than the traditional techniques. The future of cogeneration in the global energy markets lies in the of operational, financial, environmental and legal benefits.
Źródło:
Archives of Foundry Engineering; 2012, 12, 1s; 185-190
1897-3310
2299-2944
Pojawia się w:
Archives of Foundry Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Similarity solutions on mixed convection heat transfer from a horizontal surface saturated in a porous medium with internal heat generation
Autorzy:
Ferdows, M.
Liu, D.
Powiązania:
https://bibliotekanauki.pl/articles/265076.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
mixed convection
horizontal porous surface
internal heat generation
konwekcja mieszana
powierzchnia porowata
wytwarzanie ciepła
Opis:
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.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 1; 253-258
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computational and experimental model of electroporation for human aorta
Autorzy:
Filipovic, N.
Saveljic, I.
Jovicic, N.
Tanaskovic, I.
Zdravkovic, N.
Powiązania:
https://bibliotekanauki.pl/articles/306780.pdf
Data publikacji:
2016
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
elektroporacja
wytwarzanie ciepła
ablacja
kształtka wodociągowa
przewodnictwo cieplne
electroporation
heat generation
ablation
VSMC reduction
fitting
conductivity
Opis:
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.
Źródło:
Acta of Bioengineering and Biomechanics; 2016, 18, 4; 15-20
1509-409X
2450-6303
Pojawia się w:
Acta of Bioengineering and Biomechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity
Autorzy:
Ganga, B.
Charles, S.
Abdul Hakeem, A. K.
Nadeem, S.
Powiązania:
https://bibliotekanauki.pl/articles/1839858.pdf
Data publikacji:
2021
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
three-dimensional flow
Casson fluid
stretching surface
heat generation
trójwymiarowy przepływ
przepływ trójwymiarowy
przepływ magnetohydrodynamiczny
MHD
płyn Cassona
rozciąganie powierzchni
wytwarzanie ciepła
przewodność cieplna
Opis:
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.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 1; 25-36
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Transient free convective radiative flow between vertical parallel plates heated/cooled asymmetrically with heat generation and slip condition
Autorzy:
Gaur, P. K.
Sharma, R. P.
Jha, A. K.
Powiązania:
https://bibliotekanauki.pl/articles/264930.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
magnetohydrodynamika
wytwarzanie ciepła
promieniowanie cieplne
MHD
slip flow
heat generation
thermal radiation
Opis:
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.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 2; 365-384
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Combined systems of energy generation – a characterisation and classification
Autorzy:
Gilewski, J
Montusiewicz, J.
Powiązania:
https://bibliotekanauki.pl/articles/102889.pdf
Data publikacji:
2014
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
combined heat and power (CHP)
combined energy generation
cogeneration systems
Opis:
The study presents issues concerning technical solutions of combined systems of energy generation which can be used primarily in low-level power plants, installed in various types of public utility sites. A detailed description is given of selected ways of powering combined energy generation systems, presenting conceptual outlines of their operation and information on their advantages, disadvantages and applications. The following systems are introduced: gas-steam, back-pressure steam turbine, extraction-condensing steam turbine, gas turbine, gas microturbine, Stirling engine, fuel cells and internal combustion piston engine. Moreover, the study addresses economic aspects of energy generation in combined systems, discussing different methodologies of cost calculation, including the one used by the European Union. The article also gives a detailed review of piston engine combined-system aggregates available in the Polish market. Type series of associated systems designed for low-power appliances are shown, produced by Polish and foreign companies such as Viessmann, Centrum Elektroniki Stosowanej CES, H. Cegielski – Poznań, KWE Technika Energetyczna, TEDOM Poland or the EPS System.
Źródło:
Advances in Science and Technology. Research Journal; 2014, 8, 23; 53-61
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermal analysis of longitudinal a porous fin with temperature-dependent internal heat generation using the variation of parameters method
Autorzy:
Güngör, Osman
Arslantürk, Cihat
Powiązania:
https://bibliotekanauki.pl/articles/1839762.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
variation of parameters method
porous fin
heat generation
exact solution
metoda wariacji parametrów
żebro porowate
wytwarzanie ciepła
dokładne rozwiązanie
Opis:
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.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 5-16
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method
Autorzy:
Hoshyar, H. A.
Rahimipetroudi, I.
Ganji, D. D.
Majidian, A. R.
Powiązania:
https://bibliotekanauki.pl/articles/122933.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
collocation method
homotopy perturbation method
porous fin
temperature-dependent heat generation
Opis:
An analysis has been performed to study the problem of the thermal performance of a nonlinear problem of the porous fin with temperature-dependent internal heat generation. Highly accurate semi-analytical methods called the collocation method (CM) and the homotopy perturbation method (HPM) are introduced and then are used to obtain a nonlinear temperature distribution equation in a longitudinal porous fin. This study is performed using passage velocity from the Darcy’s model to formulate the heat transfer equation through porous media. The heat generation is assumed to be a function of temperature. The effects of the natural convection parameter Nc, internal heat generation εg, porosity Sh and generation number G parameter on the dimensionless temperature distribution are discussed. Also, numerical calculations called the fourth order Runge-Kutta method were carried out for the various parameters entering into the problem for validation. Results reveal that analytical approaches are very effective and convenient. Also it is found that these methods can achieve more suitable results compared to numerical methods.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 53-65
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
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