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1
Content available The influence of thermal expansion on flow past an inclined accelerated sectional plate with persistent mass diffusion
Nagarajan G., Sundar Raj M., Muthucumaraswamy R.
International Journal of Applied Mechanics and Engineering
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2022
|
Vol. 27, no. 4
105--116
EN
In this article, we examined the solution of a homogeneously intensified isothermal inclined infinite plate with constant temperature. The plate is elevated to Tw, and the species accumulation is enhanced at a consistent speed. Under appropriate boundary conditions, the non-dimensional guiding formulae are remedied using the Laplace transform procedure. The effect of velocity, temperature, and concentration on various factors, including thermal and mass Grashof numbers, Schmidt numbers, and duration, is discussed. The velocity increases proportionally to the thermal and mass Grashof numbers, but decreases as the inclined angle, Schmidt numbers and time increase.
2
Content available A general study of fundamental solutions in aniotropicthermoelastic media with mass diffusion and voids
Chawla Vijay, Kamboj Deepmala
International Journal of Applied Mechanics and Engineering
|
2020
|
Vol. 25, no. 4
22--41
EN
The present paper deals with the study of a fundamental solution in transversely isotropic thermoelastic media with mass diffusion and voids. For this purpose, a two-dimensional general solution in transversely isotropic thermoelastic media with mass diffusion and voids is derived first. On the basis of the obtained general solution, the fundamental solution for a steady point heat source on the surface of a semi-infinite transversely isotropic thermoelastic material with mass diffusion and voids is derived by nine newly introduced harmonic functions. The components of displacement, stress, temperature distribution, mass concentration and voids are expressed in terms of elementary functions and are convenient to use. From the present investigation, some special cases of interest are also deduced and compared with the previous results obtained, which prove the correctness of the present result.
3
Content available remote Effects of Radiation and Porosity of the Medium on MHD Flow Past an Inclined Plate in the Presence of Hall Current
Rajput U. S., Kumar G.
Computational Methods in Science and Technology
|
2017
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Vol. 23, No. 2
93--103
EN
The present study deals with an analysis of the effects of radiation and porosity of the medium on unsteady natural convection flow of a viscous, incompressible and electrically conducting fluid past an impulsively started inclined plate under the influence of transversely applied uniform magnetic field and Hall current. The medium of the flow is taken as porous. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The results obtained are discussed with the help of graphs drawn for different parameters like thermal Grashof number, mass Grashof Number, Prandtl number, Hall current, radiation, permeability, magnetic field parameter and Schmidt number. The numerical values obtained for skin-friction and Nusselt number have been tabulated. The objective of this study is to analyze radiation and the porosity of the medium in the MHD flow model. In the study we found that the velocity in the boundary layer increases with the values of radiation and porosity of the medium. It is also observed that radiation and porosity of the medium increases the skin-friction at the wall surface. The results of the study are found to be in agreement with the actual flow. The importance of the problem can be seen in cooling of electronic components of a nuclear reactor, bed thermal storage and heat sink in the turbine blades.
4
Content available remote Przybliżone równania dyfuzji masy i przewodzenia ciepła z członem źródłowym
Gwadera M., Kupiec K., Neupauer K.
Przemysł Chemiczny
|
2016
|
T. 95, nr 10
1988--1993
PL
Przedstawiono przybliżone rozwiązania równania dyfuzji oparte na aproksymacji ułamkami łańcuchowymi. Omówiono algorytmy obliczeń numerycznych dla różnych przypadków oraz porównano wyniki obliczeń przybliżonych ze ścisłymi. Przedstawiono ogólny przypadek nieustalonej dyfuzji z reakcją chemiczną oraz szczególne przypadki obejmujące adsorpcję w zbiorniku oraz nieustalone przewodzenie ciepła.
EN
Approximate solns. of the diffusion equation based on the continued fraction approximation were used to consider transient diffusion with chem. reaction and specific cases of adsorption in a tank and of transient heat transfer. Algorithms of numerical calculations for particular cases were discussed and the results of calculations were compared with the exact solns. A good agreement of the data was obsd.
5
Content available Hall effects and rotation effects on MHD flow past an exponentially accelerated vertical plate with combined heat and mass transfer effects
Thamizhsudar M., Pandurangan J., Mathucumaraswamy R.
International Journal of Applied Mechanics and Engineering
|
2015
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Vol. 20, no. 3
605--616
EN
A theoretical solution of flow past an exponentially accelerated vertical plate in the presence of Hall current and MHD relative to a rotating fluid with uniform temperature and mass diffusion is presented. The dimensionless equations are solved using the Laplace method. The axial and transverse velocity, temperature and concentration fields are studied for different parameters such as the Hall parameter (m), Hartmann number (M), Rotation parameter (Ω), Schmidt number, Prandtl number, thermal Grashof number (Gr) and mass Grashof number (Gc). It has been observed that the temperature of the plate decreases with increasing values of the Prandtl number and the concentration near the plate increases with decreasing values of Schmidt number. It is also observed that both axial and transverse velocities increase with decreasing values of the magnetic field parameter or rotation parameter, but the trend gets reversed with respect to the Hall parameter. The effects of parameters m, M, […], Gr and Gc on the axial and transverse velocity profiles are shown graphically.
6
Content available Numerical study on flow past an oscillating plate with variable temperature and uniform mass diffusion under chemical reaction
Vijayalakshmi A. R., Selvajayanthi M.
International Journal of Applied Mechanics and Engineering
|
2014
|
Vol. 19, no. 1
181--193
EN
An numerical study on an unsteady flow past an oscillating semi-infinite vertical plate with variable temperature and uniform mass diffusion under the influence of a first order chemical reaction has been carried out. The dimensionless governing equations are solved by an unconditionally stable and fast converging implicit finite difference scheme. The effects of velocity and temperature for different physical parameters such as the chemical reaction parameter, thermal Grashof number, mass Grashof number and time are analysed. It is observed that due to the presence of first order chemical reaction, the velocity increases during a generative reaction and decreases in a destructive reaction.
7
Content available MHD and thermal radiation effects on exponentially accelerated isothermal vertical plate with uniform mass diffusion
Muthucumaraswamy R., Visalakshi V.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 2
599--608
EN
Thermal radiation effects on an unsteady free convective flow of a viscous incompressible flow of a past an exponentially accelerated infinite isothermal vertical plate with uniform mass diffusion in the presence magnetic field are considered. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised to Tw and the concentration level near the plate is also raised to Cʹw . An exact solution to the dimensionless governing equations is obtained by the Laplace transform method, when the plate is exponentially accelerated with a velocity u= u0 exp(aʹtʹ) in its own plane against gravitational field. The effects of velocity, temperature and concentration fields are studied for different physical parameters such as the magnetic field parameter, thermal radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with decreasing magnetic field parameter or radiation parameter. But the trend is just reversed with respect to a or t .
8
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
|
2012
|
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.
9
Content available remote Exact solution of unsteady flow past an accelerated vertical plate with variable temperature and mass diffusion in the presence of thermal radiation
Muralidharn M., Muthucumaraswamy R.
International Journal of Applied Mechanics and Engineering
|
2012
|
Vol. 17, no. 4
1213-1222
EN
An exact solution of unsteady flow past a uniformly accelerated infinite vertical plate with variable temperature and mass diffusion in the presence of thermal radiation is presented here. The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters like thermal Grashof number, mass Grashof number, radiation parameter, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of thermal Grashof number or mass Grashof number. But the trend is just reversed with respect to the thermal radiation parameter. It is also observed that there is a fall in plate temperature due to high thermal radiation.
10
Content available remote MHD and rotation effects on flow past an accelerated isothermal vertical plate with variable mass diffusion
Muthucumaraswamy R., Lal T., Ranganayakulu D.
International Journal of Applied Mechanics and Engineering
|
2011
|
Vol. 16, no 4
1071-1079
EN
An exact analysis of rotation effects on an unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate, under the action of a transversely applied magnetic field is presented. The plate temperature is raised to Tw and the concentration level near the plate is also raised linearly with time. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters such as the thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing the values of the thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing magnetic field parameter.
11
Content available remote Magnetohydrodynamic convective flow past an accelerated, isothermal vertical plate with variable mass diffusion
Muthucumaraswamy R., Sundar Raj M., Subramanian V. S. A.
International Journal of Applied Mechanics and Engineering
|
2011
|
Vol. 16, no 3
885-891
EN
A magnetohydrodynamic convective unsteady flow past a uniformly accelerated infinite isothermal vertical plate in the presence of variable mass diffusion is analyzed using the Laplace transform technique. The plate temperature is raised to [...] and the concentration level near the plate is raised linearly with time.The velocity profiles are studied for different physical parameters such as the magnetic field parameter, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with increasing values of the thermal Grashof number or mass Grashof number. It is also observed that the velocity increased with decreasing the magnetic field parameter.
12
Content available remote Hydromagnetic flow past an accelerated vertical plate with variable temperature and mass diffusion
Sundar Raj M., Subramanian V. S. A.
International Journal of Applied Mechanics and Engineering
|
2011
|
Vol. 16, no 4
1181-1187
EN
A magnetohydrodynamic convective unsteady flow past a uniformly accelerated infinite vertical plate in the presence of variable mass diffusion is analyzed using the Laplace transform technique. The plate temperature is raised to and the concentration level near the plate is raised linearly with time. The velocity profiles are studied for different physical parameters magnetic field parameter, thermal Grashof number, mass Grashof number and time. It was observed that such as the velocity increased with increasing values of the thermal Grashof number or mass Grashof number. It was also observed that velocity increases with decreasing the magnetic field parameter.
13
Content available remote Heat transfer effects on flow past an accelerated vertical plate with chemically reactive species
Muthucumaraswamy R., Radhakrishnan M.
International Journal of Applied Mechanics and Engineering
|
2011
|
Vol. 16, no 2
447-454
EN
A theoretical solution of an unsteady flow past a uniformly accelerated infinite isothermal vertical plate with variable mass diffusion is presented here, taking into account the homogeneous chemical reaction of first order. The plate temperature is raised to [...] and species concentration level near the plate is made to increase linearly with time. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration fields are studied for different physical parameters such as the thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number, chemical reaction parameter and time. It is observed that velocity increases with increasing values of the thermal Grashof number or mass Grashof number. It is also observed that velocity increases with decreasing the chemical reaction parameter.
14
Content available remote Heat and mass transfer of an unsteady MHD free convection flow over a moving isothermal vertical plate with variable mass diffusion in the presence of radiation
Prabhakar Reddy B., Anand Rao J.
International Journal of Applied Mechanics and Engineering
|
2011
|
Vol. 16, no 3
821-833
EN
The unsteady hydro-magnetic free convection heat and mass transfer flow of an incompressible, viscous Boussinesq fluid over a moving isothermal vertical porous plate with variable mass diffusion in the presence of thermal radiation and first order chemical reaction between the fluid and the diffusing species under the influence of a uniform magnetic field applied normal to the flow are investigated. The fluid is considered a gray, absorbing-emitting radiation but a non-scattering porous medium. The dimensionless governing equations for this investigation are solved numerically by using the Ritz finite element method. The results obtained are discussed with the help of the graphs and tables to observe the effects of various parameters such as [...]. The numerical values of the skin-friction coefficient are presented in a table. Results obtained show that a decrease in the velocity and temperature when the Prandtl number and the radiation parameter are increased and the flow velocity approaches steady state as the time parameter , is increased. These findings are in quantitative agreement with studies reported earlier.
15
Content available remote MHD and chemical reaction on flow past an impulsively started semi-infinite vertical plate with thermal radiation
Muthucumaraswamy R., Vijayalakshmi A. R.
International Journal of Applied Mechanics and Engineering
|
2010
|
Vol. 15, no 1
161-174
EN
A finite difference solution of MHD and thermal radiation effects on unsteady flow past an impulsively started semi-infinite vertical plate in the presence of homogeneous chemical reaction of first order have been studied. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit finite difference scheme. The effects of velocity and temperature for different parameters such as the chemical reaction parameter, magnetic field parameter, radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time are studied. It is observed that velocity decreases with increasing values of the magnetic field parameter or radiation parameter. It is also observed that due to the presence of first order chemical reaction, velocity increases during generative reaction and decreases in destructive reaction.
16
Content available remote Influences of magnetic field on wave propagation in generalized thermoelastic solid with diffusion
Abo-Dahab S. M., Singh B.
Archives of Mechanics
|
2009
|
Vol. 61, nr 2
121-136
EN
This paper is devoted to estimation of the influence of magnetic field in an elastic solid half-space under thermoelastic diffusion. The governing equations in xz-plane are solved taking into consideration the GL model. The reflection of dilatational (P) wave and shear vertical (SV) wave splits into four waves, namely: P wave, thermal wave, mass diffusion wave and SV wave. The reflection phenomena of P and SV waves from the free surface of an elastic solid with thermoelastic diffusion, under the influence of magnetic field is considered. The expressions for the reflection coefficients for the four reflected waves are obtained. These reflection coefficients are found to depend upon the angle of incidence 0 of P and SV waves, thermoelastic diffusion, magnetic field and other material parameters. The numerical values for the reflection coefficients are calculated analytically and presented graphically for various values of these parameters. Relevant results of previous investigations are deduced as special cases from this study.
17
Content available remote Mass diffusion in a binary mixture of viscous fluids confined between a rotating disk and a porous medium of finite thickness
Srivastava A. C., Srivastava P. K.
International Journal of Applied Mechanics and Engineering
|
2008
|
Vol. 13, no 4
1045-1057
EN
The diffusion effect in a binary mixture of incompressible viscous fluids confined between a rotating disk and a porous medium of finite thickness has been discussed. It is assumed that the lighter component is present in a small quantity. It is found that the pressure gradient created by the rotation of the disk in the free flow region separates the two components in the binary mixture in such a way that the concentration ratio of the lighter component decreases in both the regions. The concentration ratio of the lighter component in the porous medium is the maximum at the interface and then decreases sharply to zero indicating the boundary layer formation at the interface. This separative effect increases with the increase of the Darcy number, i.e., with the decrease of the permeability of the porous medium. These results are applicable for dispersion of fertilizers or other chemicals in an agricultural field.
18
Content available remote Natural convection flows with variable viscosity, heat and mass diffusion along a vertical plate
Dimian M. F., Hadhoda M. K.
Mechanics and Mechanical Engineering
|
2004
|
Vol. 7, nr 2
61-76
EN
The aim of this paper is a numerical study of laminar double diffusive free convection viscous flows adjacent to a vertical plate, taking into account the variation of the viscosity and double-diffusive heat and mass transfer with temperature. The governing conservation equations of mass, momentum, energy and chemical species are non-dimensionalized by using appropriate transformations. The resulting equations are solved numerically by using the fourth order Runge-Kutta integration scheme along with the Nachtsheim-Swiger shooting technique. It is noticed that both the velocity and concentration of air are increasing as the parameter Β 2, (the species diffusion parameter) increases, but an opposite effect for the velocity is observed at a certain distance far from the plate. It is also observed that the temperature decreases as the parameter Β 2 increases. The shearing stress at the plate, the local Nusselt number and the local Sherwood number are obtained. The friction coefficient at the plate, of heat and mass transfer at the plate, the momentum, thermal and concentration boundary layers thickness (δ, δ T, δ C) have been estimated for different values of α, Sc and N.
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