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1
Content available Effects of chemical reactions in the presence of temperature variations and isothermal mass diffusion over an inclined plate
Nagarajan G., Raj M. Sundar, Venkatesan J., Jeyanthi L., Muthucumaraswamy R.
International Journal of Applied Mechanics and Engineering
|
2024
|
Vol. 29, no. 2
104--117
EN
A detailed study of the erratic circulation around an unbounded inclined plate under fluctuating temperature and isothermal mass dispersion was carried out with a chemical reaction. This work concentrated on the harmonic inclination of the plate in its plane, and the accurate solution of the non-dimensional governing formulations was made possible by the Laplace transform technique. To evaluate their impact on different profiles, the investigation examined a variety of physical factors, including phase inclination, chemical response variable, Schmidt number, thermal Grashof number, mass Grashof number, and duration. Notably, the speed per second increased with decreasing phase angle. Furthermore, a decrease in either the thermal radiation variable or the chemical response variable induced an increase in velocity.
2
Content available Numerical study of a transient MHD flow across an oscillating vertical plate with thermal radiation and viscous dissipation
Rajaraman R., Muthucumaraswamy R.
International Journal of Applied Mechanics and Engineering
|
2023
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Vol. 28, no. 2
77--89
EN
The flow of an electrically conducting fluid across a vertically positioned oscillating semi-boundless plate with uniform mass diffusion and temperature is examined in this study in terms of the effects of thermal radiation and viscous dissipation. The dimensionless governing equations were solved using an effective and unconditionally stable implicit finite-difference approach known as the Crank-Nicolson method. Based on the numerical results, the impacts of various physical parameter values on concentration, temperature; velocity; Sherwood numbers, Nusselt numbers and skin-friction profiles are displayed graphically and their consequences thoroughly analyzed. We observed that when the magnetic field, radiation and phase angle parameters are increased, the velocity is reduced. This shows that plate oscillation, radiation and magnetic fields affect the flow pattern significantly.
3
Content available Impacts of chemical reactions on inclined isothermal vertical plate
Sundar Raj M., Nagarajan G., Murugan V. P., Muthucumaraswamy R.
International Journal of Applied Mechanics and Engineering
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2023
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Vol. 28, no. 2
64--76
EN
An accurate parameterization of an irregular surge across a continuously propelled circulation through an endless isothermal inclined plate has been investigated in the presence of a first-degree uniform chemical reaction. Both the plate’s temperature and the proximal intensity are increased systematically. To evaluate non-dimensional equations, the Laplace transform is utilized. The effect of velocity components on a range of physical parameters is investigated which include Sc, Pr, Gr, Gc, α, K and t. A proportionate increase of velocity with Gr and Gc was prominent. τ and Sh were mathematically determined.
4
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
|
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.
5
Content available Heat and mass transfer effect on an infinite vertical plate in the presence of Hall current and thermal radiation with variable temperature
Manjula L., Muthucumaraswamy R.
International Journal of Applied Mechanics and Engineering
|
2021
|
Vol. 26, no. 3
131--140
EN
MHD and radiated heat flow on a rotating system of an electrically conducting fluid in the presence of Hall current under the influence of variable temperature is studied analytically. An exact solution of a non-dimensional form of coupled partial differential equations is obtained by the technique of Laplace transform. The effect of temperature, velocity and concentration is analyzed for various parameters like the Hall parameter [...], thermal radiation [...], rotation parameter [...], Hartmann number [...] and results are discussed in detail with the help of graphs. A mixed analysis of a rotating fluid with Hall current and thermal radiation plays a very essential role in the research area such as plasma physics, MHD generator, fluid drift sensor, cosmological and geophysical level, etc.
6
Content available Hall effects on isothermal vertical plate with uniform mass diffusion in the presence of rotating fluid and chemical reaction of first order
Dhananjeya Kumaar V. S. A., Muthucumaraswamy R.
International Journal of Applied Mechanics and Engineering
|
2017
|
Vol. 22, no. 1
111--121
EN
An exact solution of the combined study of Hall effects on a vertical plate with a rotating fluid in the presence of a homogeneous chemical reaction of first order has been analysed. The dimensionless governing coupled partial differential equations are tackled using the usual Laplace transform technique. The sway of the Hall parameter, Hartmann number, Grashof number, Prandtl number, Schmidt number, chemical reaction parameter on the axial velocity and concentration of the fluid has been depicted graphically. When the non-dimensional angular velocity, Ω=2M21+m.2, the transverse velocity component vanishes, thereby the axial velocity of the fluid attains the maximum value. It is noted that with increase in the Hall parameter, thermal Grashof number and mass Grashof number, the axial velocity of the fluid increases significantly.
7
Content available MHD flow past a parabolic flow past an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction
Muthucumaraswamy R., Sivakumar P.
International Journal of Applied Mechanics and Engineering
|
2016
|
Vol. 21, no. 1
95--105
EN
The problem of MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction has been examined in detail in this paper. The fluid considered here is a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing coupled linear partial differential equations are solved using the Laplace transform technique. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time on the velocity, temperature, concentration. The results are discussed graphically and qualitatively. The numerical results reveal that the radiation induces a rise in both the velocity and temperature, and a decrease in the concentration. The model finds applications in solar energy collection systems, geophysics and astrophysics, aerospace and also in the design of high temperature chemical process systems.
8
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.
9
Content available Theoretical study of heat transfer effects on flow past a parabolic started vertical plate in the presence of chemical reaction of first order
Muthucumaraswamy R., Velmurugan S.
International Journal of Applied Mechanics and Engineering
|
2014
|
Vol. 19, no. 2
275--284
EN
An exact solution of an unsteady flow past a parabolic starting motion of an infinite vertical plate with variable temperature and mass diffusion, in the presence of a homogeneous chemical reaction of first order has been studied. The plate temperature as well as concentration level near the plate are raised linearly with time t. The dimensionless governing equations are solved using the Laplace-transform technique. The effects of velocity profiles are studied for different physical parameters such as the chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time. It is observed that the velocity increases with increasing values of the thermal Grashof number or mass Grashof number. The trend is just reversed with respect to the chemical reaction parameter.
10
Content available Radiative flow past a parabolic started isothermal vertical plate with uniform mass diffusion
Muthucumaraswamy R., Lakshmi V.
International Journal of Applied Mechanics and Engineering
|
2014
|
Vol. 19, no. 1
195--202
EN
A theoretical solution of thermal radiation effects on an unsteady flow past a parabolic starting motion of an infinite isothermal vertical plate with uniform mass diffusion has been studied. The plate temperature as well as the concentration level near the plate are raised uniformly. The dimensionless governing equations are solved using the Laplace-transform technique. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The effects of velocity profiles are studied for different physical parameters such as the thermal radiation parameter, thermal Grashof number, mass Grashof number and Schmidt number. It is observed that the velocity increases with increasing values the thermal Grashof number or mass Grashof number. The trend is just reversed with respect to the thermal radiation parameter.
11
Content available Finite difference solution of unsteady flow past an oscillating semi-infinite vertical plate with variable surface temperature and uniform mass flux
Muthucumaraswamy R., Saravanan B.
International Journal of Applied Mechanics and Engineering
|
2014
|
Vol. 19, no. 4
709--724
EN
A finite difference solution of an unsteady flow past an oscillating semi-infinite vertical place with variable temperature and uniform mass flux is presented here. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, and unconditionally stable and fast converging implicit scheme. The steady state velocity, temperature and concentration profiles are shown graphically. The effect of velocity and temperature for different physical parameters such as the thermal radiation, Schmidt number, thermal Grashof number and mass Grashof number is studied. It is observed that the velocity decreases in the presence of thermal radiation. It is also observed that the time taken to reach a steady-state is more in the case of vertical plate than horizontal plate.
12
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
|
2013
|
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 .
13
Content available MHD and rotation effects on flow past an accelerated vertical plate with variable temperature and mass diffusion in the presence of chemical reaction
Muthucumaraswamy R., Dhanasekar N., Eswara Prasad G.
International Journal of Applied Mechanics and Engineering
|
2013
|
Vol. 18, no. 4
1087--1097
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 linearly with time and the concentration level near the plate is also raised to C’w. 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 magnetic field parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl 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 increases with decreasing values of the magnetic field parameter or rotation parameter Ω.
14
Content available Mass transfer with chemical reaction on flow past an accelerated vertical plate with variable temperature and thermal radiation
Muthucumaraswamy R., Balachandran P., Ganesan K.
International Journal of Applied Mechanics and Engineering
|
2013
|
Vol. 18, no. 3
945--953
EN
An exact solution of an unsteady radiative flow past a uniformly accelerated infinite vertical plate with variable temperature and mass diffusion is presented here, taking into account the homogeneous chemical reaction of first order. The plate temperature as well as concentration near the plate is raised 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, radiation parameter, chemical reaction parameter and time. It is observed that the velocity increases with increasing values of the 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 the velocity increases with the decreasing chemical reaction parameter.
15
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
|
2013
|
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.
16
Content available Chemical reaction effects on MHD flow past a linearly accelerated vertical plate with variable temperature and mass diffusion in the presence of thermal radiation
Muthucumaraswamy R., Geetha E.
International Journal of Applied Mechanics and Engineering
|
2013
|
Vol. 18, no. 3
727--737
EN
An exact solution of first order chemical reaction effects on a radiative flow past a linearly accelerated infinite isothermal vertical plate with variable mass diffusion, under the action of a transversely applied magnetic field has been presented. The plate temperature is raised linearly with time and the concentration level near the plate is also raised to C'w linearly with time. The dimensionless governing equations are tackled using the Laplace-transform technique. The velocity, temperature and concentration fields are studied for different physical parameters such as the magnetic field parameter, radiation parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that velocity increases with decreasing magnetic field parameter or radiation parameter. But the trend is just reversed with respect to the chemical reaction parameter.
17
Content available remote Numerical Solution of Unsteady Radiative Flow Past an Oscillating Semi - Infinite Vertical Plate with Uniform Mass Flux
Muthucumaraswamy R., Saravanan B.
Computational Methods in Science and Technology
|
2013
|
Vol. 19, No. 1
23--31
EN
Thermal radiation effects on unsteady flow past an oscillating semi-infinite isothermal vertical plate with uniform mass flux have been studied. The fluid considered here is a gray, absorbing-emitting radiation but non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, and unconditionally stable and fast converging implicit scheme. The effect of velocity and temperature for different parameters like thermal radiation, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the velocity decreases in the presence of thermal radiation.
18
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.
19
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.
20
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.
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