Abstract

Numerical simulation reported on heat transfer and fluid flow in a two-dimensional rectangular micro channel totally filled with Ag/water. The first –order slip/jump boundary conditions were uniformly imposed to the up and bottom walls. The governing conservation equations are translated in dimensionless form using the thermal Single Relaxation Time (T-SRT) modified Lattice Boltzmann Method (LBM) with double distribution functions (DDFs). The viscous dissipations effects are adopted into the energy equation. Effects of nanoparticle volume fraction φ, slip coefficient, B, on the flow of Nano fluid and heat transfer were studied. The results were interpreter in terms of slip velocity; temperature jump and Nusselt number. Based on the results found, it can be concluded that decreasing the values of slip coefficient enhances the convective heat transfer coefficient and consequently the Nusselt number (Nu) but increases the slip velocity at the wall and temperature jump values.

Highlights

  • The governing conservation equations are translated in dimensionless form using the thermal Single Relaxation Time (T-SRT) modified Lattice Boltzmann Method (LBM) with double distribution functions (DDFs)

  • Based on the results found, it can be concluded that decreasing the values of slip coefficient enhances the convective heat transfer coefficient and the Nusselt number (Nu) but increases the slip velocity at the wall and temperature jump values

  • It is worth recalling that the laminar forced convection heat transfer of a Ag/water in a microchannel is studied numerically by using Lattice Boltzmann method

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Summary

Introduction

Nanofluids are colloidal solutions obtained by dispersing solid particles of nanometric size in a base fluid. Some of these solutions have been found to contribute more in the enhancement of heat transfer under certain conditions. Karimipour et al.[5]simulated the Cu-water nanofluid in a microchannel for slip condition. The lattice Boltzmann method are sued to simulate each problems related to heat transfer of nanofluids in microchannels [6, 7]. According to the above literature, the present study deals with laminar forced convection heat transfer of Ag-Water nanofluids in a microchannel using Lattice Boltzmann method. Our attention focused on the effects of emerging parameter’s on the slip velocity, temperature jump and Nusselt number

Problem statement
Nanofluid
Boundary condition
Ueuout u
Grid independency and validation
Results and discussions
Conclusion
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