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1

Effects of the porous boundary and inclined magnetic field on MHD flow in a rectangular duct

Chutia Muhim

Journal of Applied Mathematics and Computational Mechanics

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2020

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Vol. 19, nr 4

33--44

EN

In this work, a steady two dimensional MHD flow of a viscous incompressible fluid through a rectangular duct under the action of an inclined magnetic field with a porous boundary has been investigated. The coupled partial differential equations are transformed into a system of algebraic equations using the finite difference method and are then solved simultaneously using the Gauss Seidal iteration method by programming in Matlab software. Numerical solutions for velocity, induced magnetic field and current density lines are obtained and analyzed for different values of dimensionless parameters namely suction/injection parameter (S), Hartmann number (M) and inclination angle (θ) and are presented graphically.

2

Free vibrational analysis of rectangular ducts with different joint conditions

Jade N., Venkatesham B.

Journal of Theoretical and Applied Mechanics

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2018

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Vol. 56 nr 4

1069--1081

EN

Rectangular ducts are fabricated using thin sheets of a metal with different joint conditions. Due to the presence of these joints, ducts deviate from their assumptive ideal shapes. The objective of the present work is to study the effect of different joint conditions and wall thickness on dynamic characteristics of the ducts. Experimental Modal Analysis (EMA) is performed on three rectangular ducts of different joint types. Numerical Modal Analysis (NMA) is also performed by considering that the ducts are of ideal rectangular shape (without joint condition). Correlation analysis is performed between EMA and NMA in terms of Modal Assurance Criteria (MAC), Relative Frequency Difference (RFD) plots and auto-MAC. It is observed that natural frequencies are in good agreement but there is a discrepancy in mode shapes.

3

Algorytm wyznaczania współczynnika Coriolisa przepływów laminarnych w kanałach prostokątnych metodą elementów brzegowych

Teleszewski T. J.

Zeszyty Naukowe Politechniki Rzeszowskiej. Budownictwo i Inżynieria Środowiska

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2012

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z. 59, nr 4

131--141

PL

W publikacji wyznaczono zależność współczynnika Coriolisa przepływów laminarnych w przewodach prostokątnych całkowicie wypełnionych płynem w zależności od stosunku wysokości do podstawy kanału. Pola prędkości zostały wyznaczone metodą elementów brzegowych (MEB). W celu wykonania symulacji napisano autorski program komputerowy LaminarFlow1D oraz przeprowadzono walidację metody na podstawie znanych rozwiązań teoretycznych.

EN

The subject of the presented elaboration is the application of the boundary integral method to calculating Coriolis coefficient (kinetic energy coefficients) driven unidirectional laminar flow in rectangle ducts. The results of calculations the Coriolis coefficient of unidirectional flow through circle pipes with comparisons of numeric solutions with accessible in the literature with analytic solutions showing the satisfactory exactitude and the efficiency the method boundary integral equations to the solution this class of problems of flow in technical uses.

4

Pressure drop during the flow of viscoplastic fluids through ducts

Dolejs V., Siska B., Dolecek P.

Applied Mechanics and Engineering

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2000

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Vol. 5, no 2

419-433

EN

An equation of Rabinowitsch-Mooney type together with the corresponding relations for consistency variables has been adopted for an approximate calculation of pressure drop in flow of viscoplastic fluids through straight ducts. The suitability of the suggested procedure of calculation of pressure drop is demonstrated by the comparison of calculation results with the published analytical solution of flow of Robertson-Stiff fluid through an annulus and with numerical solution of flow of Bingham fluid through ducts of rectangular cross section.