Analysis of the Thomson and Troian velocity slip for the flow of ternary nanofluid past a stretching sheet

Abstract

In this article, the flow of ternary nanofluid is analysed past a stretching sheet subjected to Thomson and Troian slip condition along with the temperature jump. The ternary nanofluid is formed by suspending three different types of nanoparticles namely $$\text{TiO}_{2}, \text{Cu}$$ TiO 2 , Cu and $$\text{Ag}$$ Ag into water which acts as a base fluid and leads to the motion of nanoparticles. The high thermal conductivity and chemical stability of silver was the main cause for its suspension as the third nanoparticle into the hybrid nanofluid $$\text{Cu-TiO}_{2}/\text{H}_{2} \text{O}$$ Cu-TiO 2 / H 2 O . Thus, forming the ternary nanofluid $$\text{Ag-Cu-TiO}_{2}/\text{H}_{2} \text{O}$$ Ag-Cu-TiO 2 / H 2 O . The sheet is assumed to be vertically stretching where the gravitational force will have its impact in the form of free convection. Furthermore, the presence of radiation and heat source/sink is assumed so that the energy equation thus formed will be similar to most of the real life applications. The assumption mentioned here leads to the mathematical model framed using partial differential equations (PDE) which are further transformed to ordinary differential equations (ODE) using suitable similarity transformations. Thus, obtained system of equations is solved by incorporating the RKF-45 numerical technique. The results indicated that the increase in the suspension of silver nanoparticles enhanced the temperature and due to density, the velocity of the flow is reduced. The slip in the velocity decreased the flow speed while the temperature of the nanofluid was observed to be increasing.

Numerical simulation and mathematical modeling for heat and mass transfer in MHD stagnation point flow of nanofluid consisting of entropy generation

“…The important physical quantities about the engineering interest associated with the present study are the local Nusselt number (Nu s ) , friction drag C fs and Sherwood number ( Sh s ), which could be defined as where (13) 1 Pr…”

“…Reddy et al 12 investigated the impact of biot number on the heat transfer characteristics of nanofluid set in motion across a vertical cone. Here is the more recent work available for the representative analysis of the nanofluid motion across a stretched surface [13][14][15][16][17][18][19][20] . Energy loss in a flow and heat transfer development is due to irreversible procedures.…”

Simulation of Prandtl Nanofluid in the Mixed Convective Flow of Activation Energy with Gyrotactic Microorganisms: Numerical Outlook Features of Micro-Machines

“…Some other important and valuable research on different methodologies and material analysis is listed in Refs. [ 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 ].…”

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“…Ahmed et al [28] used a moving/static wedge with Darcy-Forchheimer's relation to conduct computational research of timedependent MHD Eyring-Powell nanoliquid. Li et al [29] investigated the flow of tri-nanofluids across a stretched sheet exposed to Thomson and Troian slip conditions as well as a temperature spike. Abbasi et al [30] used the Casson fluid model to simulate blood flow through a tapered complicated wavy curved channel in the presence of hybrid nanoparticles (𝐹𝑒 3 𝑂 4 − 𝐴𝑔).…”

“…Li et al. [29] investigated the flow of tri‐nanofluids across a stretched sheet exposed to Thomson and Troian slip conditions as well as a temperature spike. Abbasi et al.…”