Effects of thermal radiation and slip on unsteady stagnation-point flow and heat transfer past a permeable shrinking sheet: A stability analysis

Kohilavani Naganthran, Roslinda Nazar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper solves the problem of unsteady viscous fluid flow and heat transfer near the stagnation-point over a permeable stretching/shrinking surface. The effects of thermal radiation, velocity and thermal slip conditions are considered in this study. The problem modelled in the form of partial differential equations, subjected to the respective boundary conditions, and transformed to a system of nonlinear ordinary differential equations by applying the right similarity transformations. The MATLAB solver bvp4c function produces every numerical solution with the variation in pertinent parameters. Excellent agreement in comparison with previous literature is presented. The presences of dual solutions are noticeable when the permeable sheet is stretching or shrinking. Stability of the dual solutions is checked by obtaining the lowest eigenvalues of the governing linearized boundary value problem. The effects of the governing parameters on the reduced skin friction coefficients, reduced local Nusselt number, dimensionless velocity and temperature profiles are given in the form of graphs and discussed in detail. Results from the stability analysis proved that the upper branch solution is stable and physically realizable whereas the lower branch solution is unstable.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018
Subtitle of host publicationInnovative Technologies for Mathematics and Mathematics for Technological Innovation
EditorsYazariah Mohd Yatim, Syakila Ahmad, Mohd Tahir Ismail, Majid Khan Majahar Ali, Rosmanjawati Abdul Rahman, Hajar Sulaiman, Norshafira Ramli, Noor Atinah Ahmad, Farah Aini Abdullah
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419315
DOIs
Publication statusPublished - 4 Dec 2019
Event1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018 - Penang, Malaysia
Duration: 10 Dec 201812 Dec 2018

Publication series

NameAIP Conference Proceedings
Volume2184
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018
CountryMalaysia
CityPenang
Period10/12/1812/12/18

Fingerprint

stagnation point
thermal radiation
slip
heat transfer
skin friction
viscous fluids
Nusselt number
boundary value problems
partial differential equations
temperature profiles
coefficient of friction
fluid flow
differential equations
eigenvalues
velocity distribution
boundary conditions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Naganthran, K., & Nazar, R. (2019). Effects of thermal radiation and slip on unsteady stagnation-point flow and heat transfer past a permeable shrinking sheet: A stability analysis. In Y. M. Yatim, S. Ahmad, M. T. Ismail, M. K. M. Ali, R. A. Rahman, H. Sulaiman, N. Ramli, N. A. Ahmad, ... F. A. Abdullah (Eds.), Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation [060032] (AIP Conference Proceedings; Vol. 2184). American Institute of Physics Inc.. https://doi.org/10.1063/1.5136464

Effects of thermal radiation and slip on unsteady stagnation-point flow and heat transfer past a permeable shrinking sheet : A stability analysis. / Naganthran, Kohilavani; Nazar, Roslinda.

Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation. ed. / Yazariah Mohd Yatim; Syakila Ahmad; Mohd Tahir Ismail; Majid Khan Majahar Ali; Rosmanjawati Abdul Rahman; Hajar Sulaiman; Norshafira Ramli; Noor Atinah Ahmad; Farah Aini Abdullah. American Institute of Physics Inc., 2019. 060032 (AIP Conference Proceedings; Vol. 2184).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Naganthran, K & Nazar, R 2019, Effects of thermal radiation and slip on unsteady stagnation-point flow and heat transfer past a permeable shrinking sheet: A stability analysis. in YM Yatim, S Ahmad, MT Ismail, MKM Ali, RA Rahman, H Sulaiman, N Ramli, NA Ahmad & FA Abdullah (eds), Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation., 060032, AIP Conference Proceedings, vol. 2184, American Institute of Physics Inc., 1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018, Penang, Malaysia, 10/12/18. https://doi.org/10.1063/1.5136464
Naganthran K, Nazar R. Effects of thermal radiation and slip on unsteady stagnation-point flow and heat transfer past a permeable shrinking sheet: A stability analysis. In Yatim YM, Ahmad S, Ismail MT, Ali MKM, Rahman RA, Sulaiman H, Ramli N, Ahmad NA, Abdullah FA, editors, Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation. American Institute of Physics Inc. 2019. 060032. (AIP Conference Proceedings). https://doi.org/10.1063/1.5136464
Naganthran, Kohilavani ; Nazar, Roslinda. / Effects of thermal radiation and slip on unsteady stagnation-point flow and heat transfer past a permeable shrinking sheet : A stability analysis. Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation. editor / Yazariah Mohd Yatim ; Syakila Ahmad ; Mohd Tahir Ismail ; Majid Khan Majahar Ali ; Rosmanjawati Abdul Rahman ; Hajar Sulaiman ; Norshafira Ramli ; Noor Atinah Ahmad ; Farah Aini Abdullah. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).
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