The steady two-dimensional flow and heat transfer over a stretching/shrinking sheet in a nanofluid is investigated using Buongiorno's nanofluid model. Different from the previously published papers, in the present study we consider the case when the nanofluid particle fraction on the boundary is passively rather than actively controlled, which make the model more physically realistic. The gover...

This paper presents a linear stability analysis of natural convection in a horizontal layer of a viscoelastic nanofluid. The Oldroyd B model was utilized to describe the rheological behavior of a viscoelastic nanofluid. The model used for the nanofluid incorporated the effects of Brownian motion and thermophoresis. The onset criterion for stationary and oscillatory convection was derived analyt...

One of the preconditions of biomedical use of iron oxide nanoparticles including magnetite is their stabilization in liquid medium, wherein the covering substances largely determine pharmacological activity and toxicity of such nanoparticles. we obtained nanofluid that contains magnetite nanoparticles stabilized with 2-ethyl-6-methyl-3-hydroxypyridine succinate (Mexidol) and polyvinyl pyrrolido...

The slip-flow and heat transfer of a non-Newtonian nanofluid in a microtube is theoretically studied. The power-law rheology is adopted to describe the non-Newtonian characteristics of the flow, in which the fluid consistency coefficient and the flow behavior index depend on the nanoparticle volume fraction. The velocity profile, volumetric flow rate and local Nusselt number are calculated for ...

This paper explores the combined effects of Coriolis force and electric on rotating boundary layer flow heat transfer in a viscoplastic hybrid nanofluid from vertical exponentially accelerated plate. The comprises two different types metallic nanoparticles, namely silver (Ag) magnesium oxide (MgO) suspended an aqueous base fluid. Casson model is deployed for non-Newtonian effects. An empirical ...

The effective applications of Casson fluid in drilling processes, biological treatments, food processing, and bio-engineering activities have caught the interest a wide range researchers. suitable knowledge heat transfer via non-Newtonian is essential for achievement best quality products industry. Thus, three-dimensional nanofluid flow over stretching sheet with Arrhenius activation energy exp...

Abstract In this research article, we examined the Darcy-Forchheimer 3D in bioconvection Casson nanofluid flow light of a whirling disk with Arrhenius Activation Energy and thermal Radiation. The governing equations are converted to similarity solved afterward by utilizing Homotopy Analysis Method on behalf several controlling parameters. findings from study show, that radial velocity tangentia...

We prove the additivity of Casson-Seiberg-Witten invariant integral homology $S^1 \times S^3$ under fiber sum along embedded curves and tori, which is $4$-dimensional analogue Casson connected-sum splicing knots.