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1
Content available Radiation and chemical reaction effects on unsteady MHD free convection parabolic flow past an infinite isothermal vertical plate with viscous dissipation
Reddy B. Prabhakar
International Journal of Applied Mechanics and Engineering
|
2019
|
Vol. 24, no. 2
343--358
EN
The numerical investigation of the effects of radiation and chemical reaction on an unsteady MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical porous plate taking into account the viscous dissipation effect has been carried out. The fluid is considered a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing equations for this investigation are solved numerically by applying the Ritz finite element method. Numerical results for the velocity profiles, temperature profiles and concentration profiles as well as the skin-friction are presented through graphs and tables for different values of the physical parameters involved. Results obtained show a decrease in the temperature and velocity in the boundary layer as the radiation parameter increased. The velocity increases with an increase in the thermal and mass Grashof numbers and decreases with an increase in the magnetic parameter. Further, the concentration and velocity decreases with increasing the Schmidt number and chemical reaction parameter. These findings are in very good agreement with the studies reported earlier.
2
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.
3
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.
4
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.
5
Content available Radiation effects on MHD flow past an impulsively started infinite vertical plate with mass diffusion
Chandrakala P., Narayana Bhaskar P.
International Journal of Applied Mechanics and Engineering
|
2014
|
Vol. 19, no. 1
17--26
EN
The effects of thermal radiation on a flow past an impulsively started infinite vertical plate in the presence of a magnetic field have been studied. The fluid considered is a gray, absorbing-emitting radiation but non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit scheme. The effects of velocity and temperature for different parameters such as the thermal radiation, magnetic field, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the velocity decreases in the presence of thermal radiation or a magnetic field.
6
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.
7
Content available Effects of thermal diffusion and viscous dissipation on unsteady MHD free convection flow past a vertical porous plate under oscillatory suction velocity with heat sink
Prabhakar Reddy B.
International Journal of Applied Mechanics and Engineering
|
2014
|
Vol. 19, no. 2
303--320
EN
The thermal diffusion and viscous dissipation effects on an unsteady MHD free convection heat and mass transfer flow of an incompressible, electrically conducting, fluid past an infinite vertical porous plate embedded in a porous medium of time dependent permeability under oscillatory suction velocity in the presence of a heat absorbing sink have been studied. It is considered that the influence of a uniform magnetic field acts normal to the flow and the permeability of the porous medium fluctuates with time. The dimensionless governing equations for this investigation have been solved numerically by using the efficient Galerkin finite element method. The numerical results obtained have been presented through graphs and tables for the thermal Grashof number (Gr > 0) corresponding to the cooling of the porous plate and (Gr < 0) corresponding to heating of the porous plate to observe the effects of various material parameters encountered in the problem under investigation. Numerical data for skin-friction, Nusselt and Sherwood numbers are tabulated and then discussed.
8
Content available Chemical reaction effects on MHD flow past an impulsively started isothermal vertical plate with uniform mass diffusion
Chandrakala P., Narayana Bhaskar P.
International Journal of Applied Mechanics and Engineering
|
2014
|
Vol. 19, no. 2
419--426
EN
A numerical technique is employed to derive a solution to the transient natural convection flow of an incompressible viscous fluid past an impulsively started infinite isothermal vertical plate with uniform mass diffusion in the presence of a magnetic field and homogeneous chemical reaction of first order. The governing equations are solved using implicit finite-difference method. The effects of velocity, temperature and concentration for different parameters such as the magnetic field parameter, chemical reaction parameter, Prandtl number, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the fluid velocity decreases with increasing the chemical reaction parameter and the magnetic field parameter.
9
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 .
10
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.
11
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.
12
Content available Effects of chemical reaction on MHD flow past an impulsively started infinite vertical plate with uniform heat and mass flux
Chandrakala P.
International Journal of Applied Mechanics and Engineering
|
2013
|
Vol. 18, no. 2
329--339
EN
Finite difference solutions of the unsteady MHD flow past an impulsively started infinite vertical plate with uniform heat and mass flux are presented here, taking into account the homogeneous chemical reaction of first order. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit scheme. The effects of velocity, temperature and concentration for different parameters such as chemical reaction parameter, Schmidt number, Prandtl number, thermal Grashof number, mass Grashof number and time are studied. It is observed that due to the presence of a first order chemical reaction, the velocity increases during the generative reaction and decreases in the destructive reaction. It is observed that the velocity decreases in the presence of the magnetic field, as compared to its absence.
13
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.
14
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.
15
Content available remote Heat and mass transfer effects on rotating fluid past a moving vertical plate in the presence of radiation
Vijayalakshmi A. R.
International Journal of Applied Mechanics and Engineering
|
2012
|
Vol. 17, no. 1
299-307
EN
Thermal radiation effects on an unsteady free convection and mass transfer over a moving vertical plate in a rotating fluid are considered theoretically. An exact solution is obtained for the axial and transverse components of the velocity by defining complex velocity. The effects of velocity, temperature and concentration for different parameters such as radiation parameter, rotation parameter, Schmidt number, thermal Grashof number, mass Grashof number, Prandtl number and time on the plate are discussed.
16
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.
17
Content available remote Chemical reaction on moving infinite vertical plate with variable temperature
Muthucumaraswamy R., Venkatesh S., Santhosh P.
International Journal of Applied Mechanics and Engineering
|
2004
|
Vol. 9, no 2
423-430
EN
An exact solution to the problem of flow past an impulsively started infinite vertical plate in the presence of variable temperature and mass diffusion is presented here, taking into account the homogeneous chemical reaction of first-order. The dimensionless governing equations are solved using the Laplace-transform technique and the solutions are valid only at a lower time level. The velocity, temperature and concentration profiles are shown in graphs. It is observed that due to the presence of a first order chemical reaction, the velocity as well as concentration decreases with of the increasing of the chemical reaction parameter.
18
Badanie wpływu zabudowy wymiennika na intensywność wymiany ciepła
Dutkowski K., Charun H.
Prace Naukowe Instytutu Techniki Cieplnej i Mechaniki Płynów Politechniki Wrocławskiej. Konferencje
|
1998
|
Vol. 53, nr 9
224-229
PL
Przedstawiono wyniki badań eksperymentalnych przejmowania ciepła od płyty pionowej ogrzewanej, w warunkach konwekcji swobodnej, w przestrzeni ograniczonej. Na podstawie pomiarów profili rozkładu prędkości i temperatury lokalnej w szczelinie, o zmiennej szybkości L=0 do 400 [mm] wyznaczono najkorzystniejszą wartość szerokości szczeliny. Wyznaczono zależność współczynnika przejmowania ciepła od pionowej płyty grzewczej do powietrza, w zależności od szerokości szczeliny. Dla optymalnej szerokości L=60 mm osiągnięto maksymalną wartość współczynnika ?. Zaproponowano metodę intensyfikacji procesu przejmowania ciepła, praktycznie bez wzrostu nakładów energetycznych.
EN
Results of experimental investigation of convective heat transfer from a heated vertical wall in a bounded space - clearance of adjustable width L=400 mm - are described in the paper. Based on measurements of profiles of the local velocity and temperature in the clearance, its most favourable width is evaluated. The coefficient of heat transfer from the heated vertical wall to the air is determined as a function of the clearance width. The maximum heat transfer coefficient a is obtained for the optimum width of L=60 mm. A method to intensity the process of heat transfer, practically not involving extra energetic expenses, is also put forward.
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