Heat transfer effects on flow past an exponentially accelerated vertical plate with variable temperature

Abstract

An exact solution to the problem of flow past an exponentially accelerated infinite vertical plate with variable temperature is analyzed. The temperature of the plate is raised linearly with time t. The dimensionless governing equations are solved using Laplace-transform technique. The velocity and temperature profiles are studied for different physical parameters like thermal Grashof number Gr, time and an accelerating parameter a. It is observed that the velocity increases with increasing values of a or Gr.Analizira se jedno egzaktno resenje problema tecenje preko eksponencijalo ubrzavajuce beskonacne vertikalne ploce sa promenljivom temperaturom. Temperatura ploce raste linearno sa vremenom. Bezdimenzione jednacine problema su resene metodom Laplasove transformacije. Profili brzine i temperature se proucavaju za razlicite fizicke parametre kao: termicki Grashofov broj, vreme i parametar ubrzanja. Uoceno je da brzina raste sa porastom ubrzanja i Grashofovog broja.