Exact solution of thermal radiation on vertical oscillating plate with variable temperature and mass flux

Abstract

Thermal radiation effects on unsteady flow past an infinite vertical oscillating plate in the presence of variable temperature and uniform mass flux is considered. 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 mass is diffused from the plate to the fluid at an uniform rate. The dimensionless governing equations are solved using the Laplace transform technique. The velocity, concentration and temperature are studied for different physical parameters like 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 ?t.Posmatraju se uticaji termickog zracenja na nestacionarno tecenje preko neke beskonacne vertikalne oscilujuce ploce u prisustvu promenljivog temperaturskog i uniformnog masenog fluksa. Izucavani fluid je siv, apsorbuje i emituje zracenje, ali ne rasprsava. Temperatura ploce raste linearno sa vremenom dok se masa razliva po ploci uniformnom brzinom. Bezdimenzione jednacine problema su resene tehnikom Laplace-ove transformacije. Brzina, koncentracija i temperatura su proucene pri ralicitim vrednostima sledecih fizickih parametara: fazni ugao, parametar zracenja, Schmidt-ov broj, termicki Grashof-ov broj, maseni Grashof-ov broj i vreme. Uocava se porast brzine pri smanjivanju faznog ugla ?t.