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1
Content available Exact and Numerical Elastic Analysis for the FGM Thick-Walled Cylindrical Pressure Vessels with Exponentially-Varying Properties
Nejad M. Z., Abedi M., Lotfian M. H., Ghannad M.
Archives of Metallurgy and Materials
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2016
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Vol. 61, iss. 3
1649--1654
EN
Assuming exponential-varying properties in the radial direction and based on the elasticity theory, an exact closed-form analytical solution is obtained to elastic analysis of FGM thick-walled cylindrical pressure vessels in the plane strain condition. Following this, radial distribution of radial displacement, radial stress, and circumferential stress are plotted for different values of material inhomogeneity constant. The displacements and stresses distributions are compared with the solutions of the finite element method (FEM).
2
Content available First order chemical reaction effects on exponentially accelerated vertical plate with variable mass diffusion in the presence of thermal radiation
Muthucumaraswamy R., Lakshmi C. S.
International Journal of Applied Mechanics and Engineering
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2015
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Vol. 20, no. 2
329--344
EN
Effects of transfer of mass and free convection on the flow field of an incompressible viscous fluid past an exponentially accelerated vertical plate with variable surface temperature and mass diffusion are studied. Results for velocity, concentration, temperature are obtained by solving governing equations using the Laplace transform technique. It is observed that the velocity increases with decreasing values of the chemical reaction parameter or radiation parameter. But the trend is just reversed with respect to the time parameter. The skin friction is also studied.
3
Content available Hydromagnetic flow past an exponentially accelerated isothermal vertical plate with uniform mass diffusion in the presence of chemical reaction of first order
Muthucumaraswamy R., Valliammal V.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 1
259--267
EN
An exact solution of an unsteady flow past an exponentially accelerated infinite isothermal vertical plate with uniform mass diffusion in the presence of a transverse magnetic field has been studied. The plate temperature is raised to Tw and the species concentration level near the plate is also made to rise Cʹw . The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration profiles are studied for different physical parameters such as the magnetic field parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, time and a. It is observed that the velocity decreases with increasing the magnetic field parameter.
4
Content available remote Postać wykładnicza i hiperboliczna operatora bądź sygnału okresowego w dziedzinie czasu - metody obliczeniowe i zastosowania
Siwczyńska Z.
Przegląd Elektrotechniczny
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2012
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R. 88, nr 6
198-200
PL
W artykule przedstawiono aspekty obliczeniowe, splotowej realizacji wzoru zespolonego de Moivre’a-Eulera w dziedzinie czasu dyskretnego. Wzór ten znajduje zastosowanie do rozkładu fizycznego praw teorii mocy.
EN
In the article the numerical aspects of the convolution realization of the Moivre-Euler formula In discrete-time domain is presented.
5
Content available remote Postać wykładnicza i hiperboliczna operatora bądź sygnału okresowego w dziedzinie czasu - zastosowania w teorii mocy
Siwczyński M.
Przegląd Elektrotechniczny
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2012
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R. 88, nr 6
194-197
PL
W artykule przedstawiono realizację splotową wzoru zespolonego de Moivre’a-Eulera w dziedzinie czasu dyskretnego. Podano przykłady zastosowań do rozkładu fizycznego prądu w teorii mocy.
EN
In the article is presented the convolution realization of de Moivre-Euler formula in discrete time domain. It was shown that this approach makes identification of power phenomena in electrical circuit in the time domain and current decomposition into physical components in special case.
6
Content available remote MHD effects on exponentially accelerated vertical plate with variable temperature and mass diffusion
Sathappan K. E., Muthucumaraswamy R.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 1
289-297
EN
An exact solution of an unsteady flow past an exponentially accelerated infinite vertical plate with variable temperature and mass diffusion is presented in the presence of a magnetic field. The plate temperature and species concentration level near the plate is made to rise linearly with time. The dimensionless governing equations are solved using the Laplace-transform technique. Velocity, temperature and concentration profiles are studied for different physical parameters such as the magnetic field parameter, thermal Grashof number, mass Grashof number, Schmidt number, time and parameter a. It is observed that velocity decreases with increasing the magnetic field parameter. It is also observed that the velocity increases with increasing values of a.
7
Content available remote Antilogarithms of second order in algebras with logarithms and their applications to special functions
Przeworska-Rolewicz D.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2004
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Vol. 44, nr spec.
167-191
EN
In the paper [PR5] it was shown that the so-called special functions of Mathematical Physics can be obtained by means of antilogarithms of the second order for the usual differential operator ^j. The same method applied to a right invertible operator D in a commutative Leibniz algebra with logarithms permits to determine eigenvectors of linear equations of order two in D with coefficients in the algebra X under consideration by a reduction to the generalized Sturm-Liouville operator. It seems that, in a sense, the proposed method is an answer for the question of Gian-Carlo Rota concerning a unified approach to special functions (cf. [Rl], problem 4). Section 6 of the present paper is devoted to some summations formulae expressing special functions by means of exponentials. Note that, in general, we do not need any assumption about the Hilbert structure of the algebra X.
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