Abstract
The objective of this paper is to investigate an unsteady flow of a viscous incompressible flow past an infinite isothermal vertical oscillating plate, in the presence of thermal radiation and chemical reaction. The fluid considered here is a gray, absorbing-emitting radiation but a nonscattering medium. The plate temperature is arised to , and the concentration level near the plate is raised linearly with respect to time. An exact solution to the dimensionless governing equations has been obtained by the finite element 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 thermal Grashof number, mass Grashof number, radiation parameter, prandtl number, chemical reaction parameter, Schmidt number, phase angle, and time are studied graphically. The skin-friction coefficient, the Nusselt number, and the Sherwood number at the plate are discussed, and their numerical values for various values of physical parameters are presented through tables.
Highlights
The present trend in the field of chemical reaction analysis is to give a mathematical model for the system to predict the reactor performance
The objective of this paper is to investigate an unsteady flow of a viscous incompressible flow past an infinite isothermal vertical oscillating plate, in the presence of thermal radiation and chemical reaction
In most cases of chemical reactions, the reaction rate depends on the concentration of the species itself
Summary
The present trend in the field of chemical reaction analysis is to give a mathematical model for the system to predict the reactor performance. The effect of a chemical reaction depends on whether the reaction is heterogeneous or homogeneous. This depends on whether they occur at an interface or as a single-phase volume reaction. In most cases of chemical reactions, the reaction rate depends on the concentration of the species itself. A reaction is said to be of the order n, if the reaction rate is proportional to the nth power of the concentration. A reaction is of first order, if the rate of reaction is directly proportional to concentration itself. Thermal radiation effects on heat and mass transfer play an important role in manufacturing industries for the design of fins, steel rolling, nuclear power plants, gas turbines, and various
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