Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications

Abstract

During last decades the research of nanofluid is of great interest all over the World, particularly because of its thermal applications in engineering, and biological sciences. Although nanofluid performance is well appreciate and showed good results in the heat transport phenomena, to further improve conventional base fluids thermal performance an increasing number of researchers have started considering structured nanoparticles suspension in one base fluid. As to make an example, when considering the suspension of three different nanoparticles in a single base fluid we have the so called “ternary hybrid nanofluid”. In the present study three different shaped nanoparticles are uniformly dispersed in blood. In particular, the three different shaped nanoparticles are spherical shaped ferric oxide $$\text{Fe}_{3} \text{O}_{4}$$ Fe 3 O 4 , platelet shaped zinc $$\left( \text{Zn} \right)$$ Zn , and cylindrical shaped gold $$\left( \text{Au} \right)$$ Au , which are considered in blood base fluid because of related advance pharmaceutical applications. Accordingly, we focused our attention on the sharp evaluation of heat transfer for the unsteady couple stress Casson tri-hybrid nanofluid flow in channel. In particular, we formulated the problem via momentum and energy equations in terms of partial differential equations equipped with realistic physical initial and boundary conditions. Moreover, we transformed classical model into their fractional counterparts by applying the Atangana–Baleanu time-fractional operator. Solutions to velocity and temperature equations have been obtained by using both the Laplace and the Fourier transforms, while the effect of physical parameters on velocity and temperature profiles, have been graphically analyzed exploiting MATHCAD. In particular, latter study clearly shows that for higher values of volume fraction $$\phi_{hnf}$$ ϕ hnf of the nanoparticles the fluid velocity declines, while the temperature rises for the higher values of volume fraction $$\phi_{hnf}$$ ϕ hnf of the nanoparticles. Using blood-based ternary hybrid nanofluid enhances the rate of heat transfer up-to 8.05%, spherical shaped $$\text{Fe}_{3} \text{O}_{4}$$ Fe 3 O 4 enhances up-to 4.63%, platelet shaped $$\left( \text{Zn} \right)$$ Zn nanoparticles enhances up-to 8.984% and cylindrical shaped gold $$\left( \text{Au} \right)$$ Au nanoparticles enhances up-to 10.407%.

Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment

“…Evidence from mathematical modeling of epidemics in the literature suggests that nonlinear dynamical equations can shed light on disease transmission dynamics. Constructing realistic nonlinear compartmental math- ematical models that are data-driven to better explain the transmission dynamics of epidemics has garnered much attention in the wake of the recent global COVID-19 outbreaks [1][2][3][4][5][6][7][8], including several other important research studies on mathematical modeling with the Caputo and other memory operators, as discussed in [9][10][11][12]. Musa et al [13] propose a novel eight-compartmental deterministic model for the COVID-19 epidemic in Nigeria, which accounts for awareness campaign initiatives and hospitalization control tactics for severe and moderate instances of infections.…”

Applications of Nano-biofuel cells for Reiner-Philippoff nanoparticles with higher order slip effects

“…Chen et al 8 examined the thermally developed analysis for ternary nanoparticles via modified Fourier’s approach. Arif et al 9 discussed the couple stress-Casson nanofluid flow with fractional assessment. Analysis for Sutterby nanofluid via stretched cylinder was explored by Abbas et al 10 .…”

Comparative study of ternary hybrid nanofluids with role of thermal radiation and Cattaneo-Christov heat flux between double rotating disks

“…In mixed convection, Patil and Goudar 10 investigated the impact of nanofluid flow. The effects of the heat transfer assessment of a fractional couple stress model and Casson tri-hybrid nanofluid in blood with different types of nanoparticles were examined by Arif et al 11 .…”