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With advances in the use of nanomaterials for heat transfer, various attributes have been recognized by researchers, paving the way for more dynamic and interdisciplinary applications. The assessment of heat and mass transfer facilitated by nanomaterials, especially in the context of sliding phenomena, plays a crucial role in manufacturing, industrial operations and the petroleum sector, among others. Driven by such considerations, the present study introduces bioconvective patterns into nanofluid flow, taking into account several sliding conditions. These multiple sliding conditions, related to speed, temperature, concentration and microorganisms, were examined to study the synergistic effects on heat and mass transfer. The flow examined is influenced by a porous stretchable surface, incorporating suction and injection mechanisms, while the fluid itself is electrically conductive. A firing method was designed to tackle the proposed model. The impact of various parameters is analyzed visually, revealing that the velocity profile is diminished by the velocity slip constant and the permeability of the porous medium. Furthermore, the interaction of multiple sliding effects distinctly enhances thermal processes. [ABSTRACT FROM AUTHOR]

A thermo-dynamical model of rate type fluid has been developed from a thermodynamic standpoint that is capable of describing the response of viscoelastic fluids through newly modeled constitutive equations. The key findings of this article are to analyze an unsteady Oldroyd-B fluid flow over an exponentially accelerated plate accompanied by continuous temperature in the existence of wall slip conditions. By using Caputo's time-fractional derivative, a fractional model is introduced for constitutive equations. The Laplace transform is invoked to have semi-analytical solutions from non-dimensional equations of temperature, velocity, shear stress, and Nusselt number. By using the Laplacian computational inversion algorithm of Stehfest, the results of velocity as well as shear stress have been achieved within thermodynamical aspects. The impacts of several parameters on fluid temperature, velocity, and shear stress are prescribed with the help of graphical diagrams. The temperature and velocity profiles are declined for higher values of Prandtl number. The velocity profile and shear stress are increased by growing the values of Grashof number and retardation time. The velocity profile is declined with larger values of slip parameter and relaxation time. [ABSTRACT FROM AUTHOR]