@article{AvramenkoShevchukKovetskaya2021, author = {Andriy A. Avramenko and Igor V. Shevchuk and Margarita M. Kovetskaya}, title = {An Analytical Investigation of Natural Convection of a Van Der Waals Gas over a Vertical Plate}, series = {Fluids}, volume = {6}, number = {3}, publisher = {MDPI}, issn = {2311-5521}, doi = {10.3390/fluids6030121}, url = {https://nbn-resolving.org/urn:nbn:de:hbz:832-epub4-16805}, year = {2021}, abstract = {The study focused on a theoretical study of natural convection in a van der Waals gasnear a vertical plate. A novel simplified form of the van der Waals equation derived in the studyenabled analytical modeling of fluid flow and heat transfer. Analytical solutions were obtained forthe velocity and temperature profiles, as well as the Nusselt numbers. It was revealed that nonlineareffects considered by the van der Waals equation of state contribute to acceleration or decelerationof the flow. This caused respective enhancement or deterioration of heat transfer. Results for a vander Waals gas were compared with respective computations using an ideal gas model. Limits of theapplicability of the simplified van der Waals equations were pinpointed.}, language = {en} }