Interest in studying convective phenomenon of heat transfer within Newtonian and non-Newtonian fluids is of great interest for researchers due to its vast applications in engineering, science and industry. This monograph studies convective heat transfer of Casson fluids in the absence and presence of MHD and porosity effects over an oscillating vertical plate and four different types of water-based nanofluids over an oscillating vertical plate with ramped wall temperature via LT technique.