Abstract

An investigation on flow and heat transfer due to mixed convection, in a lid-driven rectangular cavity filled with Cu- water nanofluids and submitted to uniform heat flux along with its vertical short sides, has been conducted numerically by solving the full governing equations with the finite volume method and the SIMPLER algorithm. In the case of a slender enclosure, these equations are considerably reduced by using the parallel flow concept. Solutions, for the flow and temperature fields, and the heat transfer rate, have been obtained depending on the governing parameters, which are the Reynolds, the Richardson numbers and the solid volume fraction of nanoparticles. A perfect agreement has been found between the results of the two approaches for a wide range of the abovementioned parameters. It has been shown that at low and high Richardson numbers, the convection is ensured by lid and buoyancy-driven effects, respectively, whereas between these extremes, both mechanisms compete. Moreover, the addition of Cu-nanoparticles, into the pure water, has been seen enhancing and degrading heat transfer by lid and buoyancy-driven effects, respectively.

Highlights

  • Heat transfer in fluidic systems has often been the subject of ambitious research in order to enhance it considering its importance in several industrial processes

  • An investigation on flow and heat transfer due to mixed convection, in a lid-driven rectangular cavity filled with Cuwater nanofluids and submitted to uniform heat flux along with its vertical short sides, has been conducted numerically by solving the full governing equations with the finite volume method and the SIMPLER algorithm

  • In the case of a nanofluid-filled square cavity with cold sides, a partially heated and insulated bottom, and a moving cold top, Mansour et al [11] examined the effects of Reynolds number, type of nanofluids, size and location of the heater and the volume fraction of the nanoparticles in their study related to mixed convection

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Summary

Introduction

Heat transfer in fluidic systems has often been the subject of ambitious research in order to enhance it considering its importance in several industrial processes. In the case of a nanofluid-filled square cavity with cold sides, a partially heated (with constant heat flux heater) and insulated bottom, and a moving cold top, Mansour et al [11] examined the effects of Reynolds number, type of nanofluids, size and location of the heater and the volume fraction of the nanoparticles in their study related to mixed convection They observed that the heat transfer enhances with all the above mentioned parameters. Nemati et al [13] investigated heat transfer performance of a moving top square cavity, filled with nanofluids and subject to different side wall temperatures They reported that an increase of nanoparticles volume fraction enhances heat transfer, but such an effect reduces with the Reynolds number. The results are presented, in terms of streamlines, isotherms, stream function and temperature profiles and heat transfer rates, and discussed for various values of the dimensionless parameters, controlling the problem, which are the Reynolds, Re, and Richardson, Ri, numbers, and the solid volume fraction of nanoparticles, Φ

Mathematical Formulation
Numerics
Approximate Parallel Flow Analytical Solution
Results and Discussion
Flow and Thermal Patterns
Validation of the Approximate Parallel Flow Analytical Solution
Flow Intensity and Heat Transfer Rate
Onset of the Bicellular Flow
Conclusions
Full Text
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