The roles of nanoparticles and geometric effects are incredible in nanotechnology. The significant prospective of nanoparticles can be found in the manufacturing of machineries, heating/cooling of nuclear reactors, chemical and thermal engineering, mechanical and aerodynamics, etc. Thus, the current model study is performed for the heat transport mechanism in a newly engineered ternary nanofluid model for sinusoidal surface. The conventional model was updated via influences of ternary nanoparticles, transient phenomena, radiation and heat generation effects, convective and thermal slip impacts. The primary governing laws are reduced into the desired model form via transient similarity expressions and ternary nanoliquid models. Afterward, the shooting scheme supportive by RK technique is endorsed for physical configuration of the model dynamics under multiple ranges of the parameters. The outcomes revealed that both the components of velocity showed different behaviors for nodal and saddle points against the nodal-saddle parameter [Formula: see text] that is, in the saddle case the velocity is decreased while in the nodal case its value is boosted when the value of [Formula: see text] is slightly increased. Further, the temperature of the fluid is increased when [Formula: see text] and [Formula: see text] varied from [Formula: see text] to [Formula: see text]. Further, the skin friction augments from [Formula: see text] to [Formula: see text], [Formula: see text] to [Formula: see text] when [Formula: see text] and [Formula: see text] vary from [Formula: see text] to [Formula: see text], respectively. The Nusselt number improved from [Formula: see text] to [Formula: see text] (for nanoparticles concentration), [Formula: see text] to [Formula: see text] (for heating source [Formula: see text] from [Formula: see text] to [Formula: see text]) and increased from [Formula: see text] to [Formula: see text] (for Biot number variations from [Formula: see text] to [Formula: see text]). Hence, the Biot number highly contributes to the heat transfer rate than other parameters.
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