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EN
Thermal radiation effects on unsteady flow of a viscous incompressible fluid past an exponentially accelerated infinite isothermal vertical plate with uniform mass flux has been studied. 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 made to be at a constant rate. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is exponentially accelerated with a velocity […] in its own plane. The velocity, temperature and concentration fields are studied for different physical parameters such as the thermal Grashof number, mass Grashof number, Schmidt number, a and time. It is observed that the velocity increases with increasing values of a or t.
EN
An exact solution of an unsteady flow past an uniformly accelerated infinite vertical plate with prescribed uniform heat and mass flux is analyzed. The temperature of the plate and concentration level near the plate are raised at a uniform rate. The dimensionless governing equations are tackled using the usual Laplace-transform technique. The velocity, temperature and concentration fields are studied for different physical parameters such as the Prandtl number, 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. It is also observed that the velocity increases with decreasing values of the Schmidt number.
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.
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.
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.
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.
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.
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.
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.
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.
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