MHD flow of a nanofluid due to a nonlinear stretching/shrinking sheet with a convective boundary condition: Tiwari–Das nanofluid model

Abstract

Purpose Nanofluid research has piqued the interest of scientists due to its intriguing applications in nanoscience, biomedical and electrical engineering, medication delivery, biotechnology, food processing, chemotherapy and other fields. This paper aims to inspect the behavior of the mixed convection magnetohydrodynamic flow and heat transfer induced by a nonlinear stretching/shrinking sheet in a nanofluid with a convective boundary condition. Tiwari and Das mathematical nanofluid model is incorporated in the analysis. Design/methodology/approach The mathematical model is initially transformed to a nondimensional form by using dimensionless variables. Then the nondimensional partial differential equations are further transformed to a set of similarity equations by using the similarity technique. These equations are solved numerically by the bvp4c function in MATLAB software. Findings For a certain range of the stretching/shrinking parameter, two solutions are obtained. The friction factor and the heat transfer rate escalate due to suction parameter with adding nanoparticles volume fraction by almost 27.15% and 0.153% for the upper branch solution, while the friction factor declines by almost 30.10% but the heat transfer rate augments by 0.145% for the lower branch solution. Furthermore, the behavior of the nanoparticle volume fractions on the heat transfer rate behaves differently in the presence of the mixed convection effect. The temperature of fluid augments with increasing Biot number for both solutions. Originality/value The present work considers the flow and heat transfer induced by a stretching/shrinking sheet in a nanofluid using the Tiwari–Das nanofluid model with a convective boundary condition, where the effect of the buoyancy force is taken into consideration. It is shown that two solutions are found for a certain range of the shrinking strength, while the solution is unique for the stretching case. This study is important for scientists working in the growing field of nanofluids to become familiar with the flow properties and behaviors of such nanofluids.

The physical impact of blowing, Soret and Dufour over an unsteady stretching surface immersed in a porous medium in the presence of ternary nanofluid

“…Some of the important contributions of nanofluids are in many studies. [22][23][24] Hybrid nanoliquids have higher thermal conductivity than nanoliquids as well as basic liquids. In comparison with base fluid containing single-type nanoparticles, hybrid nanoliquids have comparable applications.…”

“…Nanofluids are widely utilized in space engineering technology, microwaves, production of generic medicines, biosensors, equipment used for cooling, furnace gas outlets, caloric regulating, nuclear reactors, medicinal approaches, combustion cells, and a variety of other scientific and technical sectors. Some of the important contributions of nanofluids are in many studies 22–24 . Hybrid nanoliquids have higher thermal conductivity than nanoliquids as well as basic liquids.…”

Thermal behavior of a conical antenna cooled with nanofluid saturated porous media: effects of the cavity’s inclination and aspect ratio

“…The work shows that improvement in the average Nusselt number can reach 65% for some combinations of the influencing physical parameters. The Tiwari–Das nanofluid model has been used in Khan et al (2022) to determine heat transfer induced by a stretching sheet in a nanofluid. Several other works are carried out with this technique combining porous media and nanofluids, including Martin et al (2021), Sheikholeslami (2017b) and Baïri (2020).…”

Magnetohydrodynamic stagnation point flow and heat transfer effects of Al2O3-Cu/water hybrid nanofluid over a porous stretching surface

“…The stagnation point flow of a conductive nano-liquid across a stretching surface under the influence of radiation and dissipation effects was illustrated by Kiran Kumar et al 33 Few studies on nanofluids are found in the work by authors. 34–38…”

“…The stagnation point flow of a conductive nano-liquid across a stretching surface under the influence of radiation and dissipation effects was illustrated by Kiran Kumar et al 33 Few studies on nanofluids are found in the work by authors. [34][35][36][37][38] In recent years, many researchers have concentrated on hybrid nanofluids. Hybrid nanofluid is a mixture of two different forms of nanoparticles added in the base fluids.…”