Transient natural convection in a vertical channel filled with nanofluids in the presence of thermal radiation

The transient natural convection in a vertical channel filled with nanofluids has been studied when thermal radiation is taken into consideration. The equations governing the flow are solved by employing the Laplace transform technique. Exact solutions for the velocity and temperature of nanofluid are obtained in cases of both prescribed surface temperature (PST) and prescribed heat flux (PHF). The numerical results for the velocity and temperature of nanofluid are presented graphically for the pertinent parameters and discussed in detail. The fluid velocity is greater in the case of PST than that of PHF.