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The work has been made to analyze the influence of local thermal nonequilibrium through a stretching surface in a laminar transient flow of nanofluid with the inclusion of cross diffusion. Brownian motion and thermophoresis are taken into account for the modeling of nanofluid. To describe the departure from thermal equilibrium, three temperature model has been assumed. The governing transport equations are transformed using similarity analysis and they are evaluated by Runge–Kutta–Fehlberg with shooting technique. The present results are compared with the previously published reports and they met agreement. The obtained numeric values of the boundary layer flow characteristics such as velocity, thermal, and mass transfer among the phases are illustrated graphically for different combinations of the interphase parameters. In addition, the regression study on heat and mass transfer with prominent parameters has been made to provide a highly accurate rendition and can be accessibly used in engineering problems.

Heat transfer enhancement in a nanofluid saturated porous medium with cross diffusion and nonequilibrium: A regression approach