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    Wyświetlanie 1-10 z 10
    Tytuł:
    Effects of Hall current on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with Newtonian heating
    Autorzy:
    Seth, G. S.
    Sarkar, S.
    Sharma, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/264598.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    przepływ konwekcyjny
    transformacja Laplace'a
    tarcie
    hydromagnetic free convection flow
    Newtonian heating
    Hall current
    porous medium
    INVLAP routine in Matlab
    Opis:
    An investigation of unsteady hydromagnetic free convection flow of a viscous, incompressible and electrically conducting fluid past an impulsively moving vertical plate with Newtonian surface heating embedded in a porous medium taking into account the effects of Hall current is carried out. The governing partial differential equations are first subjected to the Laplace transformation and then inverted numerically using INVLAP routine of Matlab. The governing partial differential equations are also solved numerically by the Crank-Nicolson implicit finite difference scheme and a comparison has been provided between the two solutions. The numerical solutions for velocity and temperature are plotted graphically whereas the numerical results of skin friction and the Nusselt number are presented in tabular form for various parameters of interest. The present solution in special case is compared with a previously obtained solution and is found to be in excellent agreement.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2016, 21, 1; 187-203
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Eigen value approach in micropolar elastic medium with voids
    Autorzy:
    Singh, R.
    Singh, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/264360.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    próżnia
    transformata Laplace'a
    transformacja Hankela
    integracja Romberga
    eigenvalue
    voids
    Laplace transform
    Hankel transform
    concentrated force
    Romberg's integration
    Opis:
    The eigen value approach, following the Laplace and Hankel transformation has been employed to find a general solution of the field equations in a micropolar elastic medium with voids for an axisymmetric problem. An infinite space with the mechanical source has been applied to illustrate the utility of the approach. The integral transformations has been inverted by using a numerical inversion technique to get the result in physical domain. The results in the form of normal displacement, volume fraction, normal force stress, tangential force stress and tangential couple stress components have been obtained numerically and illustrated graphically.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2013, 18, 2; 521-536
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Interaction due to mechanical source in generalized thermo microstretch elastic medium
    Autorzy:
    Singh, R.
    Kumar, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/955155.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    transformacja Laplace'a
    termosprężystość
    pole elektromagnetyczne
    generalized thermo-microstretch
    eigenvalue
    Laplace transform
    Hankel transform
    mechanical source
    Opis:
    The eigen value approach, following the Laplace and Hankel transformation has been employed to find a general solution of the field equations in a generalized thermo microstretch elastic medium for an axisymmetric problem. An infinite space with the mechanical source has been applied to illustrate the utility of the approach. The integral transformations have been inverted by using a numerical inversion technique to obtain normal displacement, normal force stress, couple stress and microstress in the physical domain. Numerical results are shown graphically.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2014, 19, 2; 347-363
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator
    Autorzy:
    Kumar, Prem
    Qureshi, Sania
    Powiązania:
    https://bibliotekanauki.pl/articles/122736.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    ordinary differential equations
    Laplace transform
    Riemann-Liouville integral
    równanie różniczkowe zwyczajne
    transformacja Laplace'a
    całka Riemann-Liouville
    Opis:
    Finding the exact solution to dynamical systems in the field of mathematical modeling is extremely important and to achieve this goal, various integral transforms have been developed. In this research analysis, non-integer order ordinary differential equations are analytically solved via the Laplace-Carson integral transform technique, which is a technique that has not been previously employed to test the non-integer order differential systems. Firstly, it has proved that the Laplace-Carson transform for n-times repeated classical integrals can be computed by dividing the Laplace-Carson transform of the underlying function by n-th power of a real number p which later helped us to present a new result for getting the Laplace-Carson transform for d-derivative of a function under the Caputo operator. Some initial value problems based upon Caputo type fractional operator have been precisely solved using the results obtained thereof.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 57-66
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator
    Autorzy:
    Kumar, Prem
    Qureshi, Sania
    Powiązania:
    https://bibliotekanauki.pl/articles/1839810.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    ordinary differential equations
    Laplace transform
    Riemann-Liouville integral
    równanie różniczkowe zwyczajne
    transformacja Laplace'a
    całka Riemann-Liouville
    Opis:
    Finding the exact solution to dynamical systems in the field of mathematical modeling is extremely important and to achieve this goal, various integral transforms have been developed. In this research analysis, non-integer order ordinary differential equations are analytically solved via the Laplace-Carson integral transform technique, which is a technique that has not been previously employed to test the non-integer order differential systems. Firstly, it has proved that the Laplace-Carson transform for n-times repeated classical integrals can be computed by dividing the Laplace-Carson transform of the underlying function by n-th power of a real number p which later helped us to present a new result for getting the Laplace-Carson transform for d-derivative of a function under the Caputo operator. Some initial value problems based upon Caputo type fractional operator have been precisely solved using the results obtained thereof.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 57-66
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Natural frequency and critical velocities of heated inclined pinned PP-R pipe conveying fluid
    Autorzy:
    Mohmmed, J. H.
    Tawfik, M. A.
    Atiyah, Q. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1818780.pdf
    Data publikacji:
    2021
    Wydawca:
    Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
    Tematy:
    finite Fourier sine transforms
    Laplace transforms
    natural frequency
    inclined pipe conveying fluid
    transformacja Fouriera
    transformacja Laplace'a
    częstotliwości drgań własnych
    Opis:
    Purpose: The flow velocity and pressure of fluid flowing through a pipeline can cause the vibration of pipes, and consequently result in the modification in natural frequency via fluid-structure interaction. The value of the natural frequency of a component when approaches the excitation force to a certain degree, a severe resonance failure may occur. Hence, avoiding the resonance failure of a pipe subjected to complex conditions is an essential issue that requires to be solved urgently in the engineering field. This work treats the transverse vibration for flexible inclined heated pipe, made of polypropylene randomcopolymer (PP-R), conveying fluid assuming pinned connections at the ends. The pipe was placed at different support angles and subjected to variant temperatures. Design/methodology/approach: The inclined pipe is modelled as Euler-Bernoulli beam taking into account its self-weight, temperature variation, inclination angle, aspect ratio, and internal fluid velocity. The integral transforms method, which includes the finite Fourier sine and the Laplace transforms, was used to develop an analytic solution to the modified equation of motion and the analytical expressions for dual natural frequencies of the pipefluid interaction system were computed. Findings: The proposed solution technique via finite Fourier sine and Laplace transforms offers a more convenient alternative to calculate the dynamic characteristic of pipes conveying fluid. The obtained results showed that the dynamical behaviour of pipe–fluid system is strongly affected by fluid flow velocity, degree of inclination, temperature variation, and aspect ratio of the pipe in transverse modes. Research limitations/implications: This work focuses on fundamental (first) mode in the most discussions. Practical implications: It was revealed that the thermal effects in the pipe are a very important factor and more significant in comparison with the internal fluid velocity and the inclination angle has a larger impact on vibration characteristics at a higher aspect ratio. The findings can be useful for the design of engineering components. Originality/value: Determining the combining effect of inclination angle, aspect ratio, and thermal loading on vibration characteristic of the pipes conveying fluid by using an improved analytic solution to the modified equation of motion via mixed of finite Fourier sine and Laplace transforms.
    Źródło:
    Journal of Achievements in Materials and Manufacturing Engineering; 2021, 107, 1; 15--27
    1734-8412
    Pojawia się w:
    Journal of Achievements in Materials and Manufacturing Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On axisymmetrical boundary problem of unsteady motion of micropolar fluid in the half-space
    Autorzy:
    El-Sirafy, I. H.
    Aboutahoun, A. W.
    Powiązania:
    https://bibliotekanauki.pl/articles/200251.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    micropolar fluid
    axisymmetrical motion
    Laplace-Hankel transforms
    problem brzegowy
    płyn mikropolarny
    transformacja Laplace'a
    transformacja Hankela i Laplace'a
    warunek brzegowy Hankela
    Opis:
    The aim of this paper is developing an exact solution for the problem of axisymmetrical flow of unsteady motion of micropolar fluid in the half-space when the shear stresses are given on the boundary. The Laplace-Hankel transform technique is used to solve this problem. Some physical quantities such as velocities, pressure and microrotations are obtained and illustrated numerically.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 51-62
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Single-server queueing system with external and internal customers
    Autorzy:
    Tikhonenko, O.
    Ziółkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/199838.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    single-server queueing system with non-homogeneous customers
    random volume customers
    loss probability
    total volume distribution
    Laplace transform
    Laplace-Stieltjes transform
    RAM memory space
    prawdopodobieństwo straty
    transformacja Laplace'a
    transformata Laplace'a-Stieltjesa
    pamięć RAM
    Opis:
    In the paper, we investigate a single-server queueing system with unlimited memory space and non-homogeneous customers (calls) of the two following types: 1) external customers that are served by the system under consideration, 2) internal customers that arrive and interrupt the service process only when an external customer is being served. The external customers appear according to a stationary Poisson process. Customers of each of the above-mentioned types are characterized by some random volume. The customer service time depends arbitrarily on its volume. Two schemes of customer service organization are analyzed. The non-stationary and stationary distributions of the total volume of customers present in the system are determined in terms of Laplace and Laplace-Stieltjes transforms. The stationary first and second moments of total customers volume are also calculated. The obtained results are used to approximate loss characteristics in analogous systems with limited buffer space. Numerical examples illustrating theoretical results are attached as well.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 539-551
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The analysis of tribological processes in the inking unit of the offset printing machine
    Autorzy:
    Pyryev, Y.
    Piętak, Z. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/386751.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    printing
    friction
    inking unit
    Laplace transform
    heat distribution
    roller-roler contact
    drukowanie
    tarcie
    zespół farbowy
    transformacja Laplace'a
    dystrybucja ciepła
    Opis:
    In this paper is proposed the mathematical description of the temperature distribution resulting from the friction between the two inking rollers (one of which is made off steel and the second one has elastic layer) in the offset printing machine. So-called in printing industry steel vibrator roller perform simultaneously rotary and reciprocating motion. This reciprocating motion is the main source of the heat generation. Using the Laplace transform method for heat conduction equations with boundary conditions taking into account the real processes taking place in the inking unit in contact area we obtained and analyzed the solution that could be useful for determination and regulation of parameters in order to decrease time of process stabilization.
    Źródło:
    Acta Mechanica et Automatica; 2013, 7, 3; 170-174
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Theoretical studies of dynamic soil compaction by wheeled forestry machines
    Autorzy:
    Grigorev, Igor
    Kunickaya, Ol'ga
    Burgonutdinov, Albert
    Ivanov, Viktor
    Shuvalova, Svetlana
    Shvetsova, Viktoria
    Stepanishcheva, Marina
    Tikhonov, Evgeniy
    Powiązania:
    https://bibliotekanauki.pl/articles/328511.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
    Tematy:
    d'Alembert's principle
    dynamic soil compaction
    Laplace transform
    tractor’s cyclic circuit
    Kelvin-Voigt model
    zasada d'Alemberta
    dynamiczne zagęszczanie gleby
    transformacja Laplace'a
    model Kelvina-Voigta
    Opis:
    The impact of forest skidding machine tires on the soil differs depending on topography, soil properties, and type of the wheel system. The development of a mathematical model describing the entire dynamic process is a challenging but relevant task to assess the level of impact. The work aims mathematical modeling of the impact caused by the skidding system on the forest soil employing Kelvin-Voigt theory with additional elastic element and Laplace transform equations. A dynamic model represents the "traktor-timber bundle– soil" system. According to the results of mathematical modeling, it was found that studying the vertical vibrations and vibrations of sprung mass in longitudinal and transverse planes is sufficient for examining dynamic soil compaction. Developed methods of statistical dynamics with the presentation of the track surface microroughness and the theory of linear elastic and viscous soil deformation showed that each pass of the skidding system is ac-companied by additional dynamic soil compaction. Its maximum value depends on the properties of the soil and skidding system, as well as on the presence of resonant zones in the frequency spectrum. The results of these studies provide an opportunity to predict the exposure level of skidders and establish new solutions to minimize negative consequences for the environment and productivity of the forest industry.
    Źródło:
    Diagnostyka; 2020, 21, 4; 3-13
    1641-6414
    2449-5220
    Pojawia się w:
    Diagnostyka
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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