Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity

Ammar I. Alsabery, Ishak Hashim, Ali J. Chamkha, Habibis Saleh, Bilal Chanane

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Purpose - This paper aims to study analytically and numerically the problem of transient natural convection heat transfer in a trapezoidal cavity with spatial side-wall temperature variation. Design/methodology/approach - The governing equations subject to the initial and boundary conditions are solved numerically by the finite difference scheme consisting of the alternating direction implicit method and the tri-diagonal matrix algorithm. The left sloping wall of the cavity is heated to nonuniform temperature, and the right sloping wall is maintained at a constant cold temperature, while the horizontal walls are kept adiabatic. Findings - It is shown that the heat transfer rate increases in non-uniform heating increments, whereby low wave number values are more affected by the convection. The best heat transfer enhancement results from larger side wall inclination angle; however, trapezoidal cavities require longer time compared to that of square to reach steady state. Originality/value - The study of natural convection heat transfer in a trapezoidal cavity filled with nanofluid and heated by spatial side-wall temperature has not yet been undertaken. Thus, the authors of the present study believe that this work is valuable.

Original languageEnglish
Pages (from-to)1365-1384
Number of pages20
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Volume27
Issue number6
DOIs
Publication statusPublished - 2017

Fingerprint

Nanofluid
Natural Convection
Natural convection
Cavity
Heat transfer
Heat Transfer
Heat Transfer Enhancement
Alternating Direction Implicit Method
Temperature
Tridiagonal matrix
Inclination
Finite Difference Scheme
Increment
Design Methodology
Convection
Heating
Governing equation
Initial conditions
Horizontal
Boundary conditions

Keywords

  • Finite difference method
  • Nanofluid
  • Spatial temperature
  • Transient natural convection
  • Trapezoidal cavity

ASJC Scopus subject areas

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

Cite this

Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity. / Alsabery, Ammar I.; Hashim, Ishak; Chamkha, Ali J.; Saleh, Habibis; Chanane, Bilal.

In: International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 27, No. 6, 2017, p. 1365-1384.

Research output: Contribution to journalArticle

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AU - Chanane, Bilal

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