Natural convection flow of a second grade fluid in an infinite vertical cylinder

Maria Javaid,K S Nisar,I Khan,M A Imran,M Imran

doi:10.1038/s41598-020-64533-z

Maria Javaid, K S Nisar + Show 3 more

Open Access

https://doi.org/10.1038/s41598-020-64533-z

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Journal: Scientific Reports	Publication Date: May 20, 2020
Citations: 15	License type: open-access

Affiliation: Government College University, Faisalabad

Abstract

In current study natural convection flow of second grade fluid in an oscillating infinite vertical cylinder is investigated. The dimensionless governing equations for temperature and velocity are obtained by introducing the non-dimensional variables. Exact solutions for temperature and velocity field are computed by means of integral transformation. Solutions for cosine and sine oscillations of velocity field are introduced in the form of transient and post-transient arrangements. A special case for Newtonian fluid is obtained from general results and transients solutions are computed in terms of tables. In the end, the impact of dimensionless numbers (Grashof and Prandtl numbers) at different values of time is presented in graphical form and found that velocity for Newtonian fluid has greater values than the second grade fluid. Furthermore, there are some comparisons of calculated solutions with existing solutions in literature.

Highlights

Www.nature.com/scientificreports grae fluid was introduced and the flow characteristics of the viscoelastic fluid in double cylinder rheometer were studied by Huang et al.[14]
Unsteady natural convection flow of second grade fluid through an oscillating infinite vertical cylinder is investigated in this study
Jamil et al.[10] obtained exact solutions for the motion of a fractionalized second grade fluid, by applying limits on fractional parameter we reduce the result to second grade fluid and compare with our solution Table 3

Summary

Introduction

Www.nature.com/scientificreports grae fluid was introduced and the flow characteristics of the viscoelastic fluid in double cylinder rheometer were studied by Huang et al.[14]. Gul et al.[16] studied heat transfer in MHD mixed convection flow of a ferrofluid along a vertical channel and found that temperature and velocity of ferrofluids depend strongly on viscosity and thermal conductivity together with magnetic field. Hayat et al.[31] studied slip flow and heat transfer of a second grade fluid past a stretching sheet through a porous space.

Results

Conclusion