Natural convection of nanofluid inside a wavy cavity with a non-uniform heating: Entropy generation analysis

Mikhail Sheremet, Ioan Pop, Hakan F. Öztop, Nidal Abu-Hamdeh

Research output: Contribution to journalArticlepeer-review

90 Citations (Scopus)


Purpose: The main purpose of this numerical study is to study on entropy generation in natural convection of nanofluid in a wavy cavity using a single-phase nanofluid model. Design/methodology/approach: The cavity is heated non-uniformly from the wavy wall and cooled from the right side while it is insulated from the horizontal walls. The physical domain of the problem is transformed into a rectangular geometry in the computational domain using an algebraic coordinate transformation by introducing new independent variables j and h. The governing dimensionless partial differential equations with corresponding initially and boundary conditions were numerically solved by the finite difference method of the second-order accuracy. The governing parameters are Rayleigh number (Ra = 1000-100000), Prandtl number (Pr = 6.82), solid volume fraction parameter of nanoparticles (Φ = 0.0-0.05), aspect ratio parameter (A = 1), undulation number (k = 1-3), wavy contraction ratio (b = 0.1-0.3) and dimensionless time (τ = 0-0.27). Findings: It is found that the average Bejan number is an increasing function of nanoparticle volume fraction and a decreasing function of the Rayleigh number, undulation number and wavy contraction ratio. Also, an insertion of nanoparticles leads to an attenuation of convective flow and enhancement of heat transfer. Originality: The originality of this work is to analyze the entropy generation in natural convection within a wavy nanofluid cavity using single-phase nanofluid model. The results would benefit scientists and engineers to become familiar with the flow behaviour of such nanofluids, and will be a way to predict the properties of this flow for the possibility of using nanofluids in advanced nuclear systems, in industrial sectors including transportation, power generation, chemical sectors, ventilation, airconditioning, etc.

Original languageEnglish
Pages (from-to)958-980
Number of pages23
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Issue number4
Publication statusPublished - 2017


  • Entropy generation
  • Nanofluid
  • Natural convection
  • Non-uniform heating
  • Numerical results
  • Wavy cavity

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Natural convection of nanofluid inside a wavy cavity with a non-uniform heating: Entropy generation analysis'. Together they form a unique fingerprint.

Cite this