Abstract

The gradient of surface temperature is known as Marangoni convection and plays an important role in silicon melt, spray, atomic reactors, and thin fluid films. Marangoni convection has been considered in the liquid film spray of carbon nanotube (CNT) nanofluid over the unsteady extending surface of a cylinder. The two kinds of CNTs, single-wall carbon nanotubes (SWCNTs) and multiple-wall carbon nanotubes (MWCNTs), formulated as water-based nanofluids have been used for thermal spray analysis. The thickness of the nanofluid film was kept variable for a stable spray rate and pressure distribution. The transformed equations of the flow problem have been solved using the optimal homotopy analysis method (OHAM). The obtained results have been validated through the sum of the total residual errors numerically and graphically for both types of nanofluids. The impact of the physical parameters versus velocity, pressure, and temperature pitches under the influence of the Marangoni convection have been obtained and discussed. The obtained results are validated using the comparison of OHAM and the (ND-solve) method.

Highlights

  • The discrepancy which occurs due to the two surface tensions of two fluids, or between the plate surface and fluid, formed by the temperature gradient is known as thermal Marangoni convection.The surface temperature gradient generates the Marangoni stream and plays an important role in silicon melt, precious stone development, ignition, spray and coating, atomic reactors, and thin fluidProcesses 2019, 7, 392; doi:10.3390/pr7060392 www.mdpi.com/journal/processesProcesses 2019, 7, 392 films

  • The thin-film nanofluid spray comprised of single-wall carbon nanotubes (SWCNTs) or multiple-wall carbon nanotubes (MWCNTs) nanofluid under the Marangoni convection on the surface of an extending cylinder has been examined with regard to heat transfer enhancement applications

  • The total square residual error up to the 30th-order approximation for the SWCNTs and MWCNTs is displayed in Figures 2 and 3, respectively

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Summary

Introduction

The discrepancy which occurs due to the two surface tensions of two fluids, or between the plate surface and fluid, formed by the temperature gradient is known as thermal Marangoni convection. Chen [1] experimented with liquid film using the power law model with Marangoni convection over an unstretched sheet. This enhances the thermal conductivity and heat transfer rate significantly. Haq et al [7] have investigated nanofluid thermal management over a trapezoidal cavity under Marangoni convection They observed the impact of the physical constraints under Marangoni convection and found that the temperature is enhanced with the partially heated domain. 0.02, the thermal efficiency of engine oil was increased by 30%, while this was increased by 12.4% in the CNT ethylene glycol-based nanofluid with a volume fraction of 0.01.

Mathematical Formulation
Solution by OHAM
Results and Discussion
Geometry
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The increasing of thethe
Conclusions
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