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A research study on unsteady state convection diffusion flow with adoption of the finite volume technique

Patel Manoj R., Pandya Jigisha U.

Journal of Applied Mathematics and Computational Mechanics

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2021

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Vol. 20, nr 4

65--76

EN

This research paper is an attempt to solve the unsteady state convection diffusion one dimension equation. It focuses on the fully implicit hybrid differencing numerical finite volume technique as well as the fully implicit central differencing numerical finite volume technique. The simulation of the unsteady state convection diffusion problem with a known actual solution is also used to validate both the techniques, respectively, the fully implicite hybrid differencing numerical finite volume technique as well as the fully implicit central differencing numerical finite volume technique by giving a particular example and solving it using the appropriate, particular technique. It is observed that the numerical scheme is an outstanding deal with the exact solution. Numerical results and graphs are presented for different Peclet numbers.

2

Modelling of an imperfect column having variable cross-sections and non-symmetric responses in tension and compression

Rahman M. A., Chowdhuri A. K.

International Journal of Applied Mechanics and Engineering

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2012

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Vol. 17, no. 2

439-457

EN

The behavior of a column having variable rectangular cross-sections has been modelled assuming that the column material has non-symmetric responses both in tension and compression. For this purpose, a powerful numerical scheme, based on the finite difference technique, has been devised and used to trace the load-deflection curves (equilibrium configuration paths) of a column that has highly non-linear stress-strain curves which are non-symmetric both in tension and compression. The appearance of the critical load, that causes enormous deflections with an infinitesimall increase in the loading parameters, is determined from those load-deflection curves. The devised method can be used to calculate buckling loads of any column with material and geometric nonlinearities. To make the study realistic an initial shape imperfection has been included and its effect on the column's response has also been discussed in detail. A comparison shows a good agreement between results based on the devised numerical scheme and those obtained from experiments for a specific case and other available studies.

3

Numerical solutions for heat and mass transfer effects of an unsteady MHD free convective flow past an infinite vertical plate with constant suction (injection) and heat source

Ambethkar V.

International Journal of Applied Mechanics and Engineering

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2009

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Vol. 14, no 1

67-89

EN

The objective of this work is to study heat and mass transfer in an unsteady MHD free convective flow past an infinite vertical plate with constant suction (injection) and heat source numerically. Dimensionless governing equations of the problem have been solved by using the finite difference technique. Numerical solutions for temperature, velocity, concentration have been obtained for suitable parameters like the Grashof number, mass Grashof number, Prandtl number, Schmidt number and Eckert number. The rates of heat transfer and mass transfer are studied. The results obtained are discussed with the help of graphs and tables to observe the effect of various parameters concerned in the problem under investigation. Effects of suction, the Eckert number and heat source parameter on velocity and temperature distributions are discussed. Stability and convergence of the finite difference scheme is established.