Thermal progression via bi-directional stretching surface for unsteady dynamics of magnetized elastico-viscous nanofluid subject to variable thermal conditions: a comprehensive analysis

Abstract

Countless utilization of elastico-viscous nanomaterials in industrial and engineering processes pulled our attention to examine the unsteady dynamics of an elastico-viscous nanofluid over a bi-directionally expandable plate with the aspects of simultaneous heat mechanisms, namely, prescribed surface temperature and prescribed heat flux. Additionally, nanoparticles characteristics are added in the system through a well-reputed Buongiorno nanofluid model. Furthermore, supremacies of magnetic field, Forchheimer medium and internal heat consumption/generation are also comprehensively analyzed. An appropriate group of variables is opted to exchange the governing equalities into ordinary differential equations before finding the analytical solution through homotopy analysis method. Spectacular outcomes for heat plus mass transports against various approximations of involved parameters are intercepted through tables. Temperature plus concentration summaries are portrayed for acceptable ranges of involved parameters. Finally, marvelous outcomes are linked with previously published data to authenticate the whole parametric scrutiny. It is noted that escalating selections of elastico-viscous and heat distribution indices reduce the temperature and concentration fields. Nanofluid temperature has reduced with the escalation of thermal index and nanoparticles concentration has boosted with the growth of thermodiffusion parameter (). Residual errors plots explicate the endorsement of the results obtained through the present exploration.