Natural convection heat transfer in an oscillating vertical cylinder.

Ilyas Khan,Norzieha Mustapha,Seripah Awang Kechil,Nehad Ali Shah,Asifa Tassaddiq,Robert Planque

doi:10.1371/journal.pone.0188656

Abstract

This paper studies the heat transfer analysis caused due to free convection in a vertically oscillating cylinder. Exact solutions are determined by applying the Laplace and finite Hankel transforms. Expressions for temperature distribution and velocity field corresponding to cosine and sine oscillations are obtained. The solutions that have been obtained for velocity are presented in the forms of transient and post-transient solutions. Moreover, these solutions satisfy both the governing differential equation and all imposed initial and boundary conditions. Numerical computations and graphical illustrations are used in order to study the effects of Prandtl and Grashof numbers on velocity and temperature for various times. The transient solutions for both cosine and sine oscillations are also computed in tables. It is found that, the transient solutions are of considerable interest up to the times t = 15 for cosine oscillations and t = 1.75 for sine oscillations. After these moments, the transient solutions can be neglected and, the fluid moves according with the post-transient solutions.

Highlights

Energy transfer due to convection is of great importance and arises in many physical situations [1]
Energy transfer due to mixed convection is studied under different physical situations with various boundary constraints
Fan, et al [2] analyzed energy transfer because of mixed convection in a horizontal channel filled with nanofluids

Summary

Introduction

Energy transfer due to convection is of great importance and arises in many physical situations [1]. When forced and free convections occur together, mixed convection induces. This phenomenon is usually seen in the channel flow due to heating or cooling of the channel walls. Energy transfer due to mixed convection is studied under different physical situations with various boundary constraints. Fan, et al [2] analyzed energy transfer because of mixed convection in a horizontal channel filled with nanofluids. Aaiza et al [3, 4] examined energy transfer due to mixed convection in channel flow for ferrofluid and nanofluid respectively. Amongst the important studies on mixed convection energy transfer, we include here the attempts those made by Kumari et al [5], Tiwari and Das

Objectives

Conclusion