Significance of nanoparticle shape factor and buoyancy effects on a parabolic motion of EMHD convective nanofluid past a Riga plate with ramped wall temperature

Riga plate consists of an electromagnetic actuator made of a spanwise network of intermittent electrodes and fixed magnet assembled on a flat surface. Electromagnetohydrodynamic (EMHD) effects play a crucial role in thermoelectric turbines, fluidics network flow control, paper chromatography, and miniature chillers. Driven by these functionality, the convective EMHD flow of water-based nanofluids through a parabolic Riga plate which is affected by applying ramping and isothermal constraints is simultaneously examined here. The modeling additionally includes the influence of radiation effect. The Laplace transform method is utilized to alleviate the ordinary differential equations derived from the rejuvenation of partial differential equations governing the flow. The consequences of contextual factors on energy and momentum distribution are investigated and graphically represented. The prevailing study's significant finding is that increasing the modified Hartmann number enhances the parabolic-velocity distribution of copper–water nanofluid. The escalating values of radiation parameter improve the thermal distribution for both cases. Here, copper–water-based nanofluid shows improved thermal distribution for isothermal wall than ramped wall case.