Open AccessTheoretical study of chemical reaction effects on vertical oscillating plate with variable temperature
Author(s) -
R. Muthucumaraswamy,
Sathyasuba Meenakshisundaram
Publication year - 2006
Publication title -
theoretical and applied mechanics/theoretical and applied mechanics
Language(s) - English
Resource type - Journals
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam0603245m
Subject(s) - grashof number , dimensionless quantity , schmidt number , laplace transform , mechanics , thermodynamics , thermal diffusivity , chemical reaction , plane (geometry) , flow (mathematics) , mass transfer , compressibility , physics , materials science , chemistry , reynolds number , mathematics , mathematical analysis , geometry , nusselt number , turbulence , biochemistry
An exact solution to the flow of a viscous incompressible unsteady flow past an infinite vertical oscillating plate with variable temperature and mass diffusion is presented here, taking into account of the homogeneous chemical reaction of first-order. Both the plate temperature and the concentration level near the plate are raised linearly with respect to time. 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 and concentration are studied for different parameters like phase angle, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time are studied. The solutions are valid only for small values of time t. It is observed that the velocity increases with decreasing phase angle ωt or chemical reaction parameter.