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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.
EN
An arithmetical methodology is used to study natural convection with properties of pressure work over a semi-infinite vertical oscillating cylinder. The governing partial differential equations are set up and the resulting equations are changed into a non-dimensional form using the proper non-dimensional quantities. The set of non-dimensional partial differential equations is solved arithmetically using a well-organized method known as the Crank-Nicolson method. The velocity, as well as temperature profiles for different values of parameters are studied with the assistance of graphs.
EN
The unsteady flow of a viscous incompressible electrically conducting fluid due to non-coaxial rotations of a porous disk subjected to a periodic suction and the fluid at infinity in the presence of applied transverse magnetic field has been studied. The fluid at infinity passes through a fixed point. The velocity field, shear stresses are obtained in a closed form.
EN
The unsteady flow of a viscous incompressible fluid due to non-coaxial rotations of a porous disk and a fluid at infinity subjected to a periodic suction through a porous medium has been studied. The velocity field, shear stresses are obtained in closed form. The variations of primary and secondary velocities for different values of non dimensional parameters are depicted in figures.
EN
Thermal radiation and hydromagnetic effects on an unsteady free convective flow of a viscous incompressible flow past an infinite vertical oscillating plate with variable temperature and mass diffusion are presented, taking into account the homogeneous chemical reaction of first order. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised linearly with time and the concentration level near the plate is also raised linearly with time. An exact solution to the dimensionless governing equations is obtained by the Laplace transform method, when the plate is oscillating harmonically in its own plane. The effects of velocity, temperature and concentration are studied for different parameters such as the magnetic field parameter, phase angle, Schmidt number, thermal radiation parameter, thermal Grashof number, mass Grashof number and chemical reaction parameter. It is observed that velocity increases with a decreasing magnetic field parameter or radiation parameter. It is also observed that velocity increases with a decreasing phase angle or chemical reaction parameter.
EN
An exact analysis is performed to study the unsteady flow past an infinite vertical oscillating plate with variable temperature and mass diffusion, in the presence of thermal radiation and homogeneous chemical reaction of first order. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is oscillating harmonically in its own plane. The effects of velocity, temperature and concentration are studied for different physical parameters like phase angle, radiation parameter, chemical reaction parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that velocity increases with decreasing the phase angle. It is also observed that velocity increases with decreasing the thermal radiation parameter or chemical reaction parameter.
7
Content available remote Diffusion and thermal radiation effects on isothermal vertical oscillating plate
EN
Thermal radiation effects on unsteady free convective flow of a viscous incompressible flow past an infinite isothermal vertical oscillating plate with uniform mass diffusion has been studied. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised to [...] and the concentration level near the plate is also raised to [...]. An exact solution to the dimensionless goveming equations has been obtained by the Laplace transform method, when the plate is oscillating harmonically in its own pIane. The effects of velocity, temperature and concentration are studied for different parameters such as the phase angle, radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with decreasing phase angle [...].
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