JP Journal of Heat and Mass Transfer

The JP Journal of Heat and Mass Transfer is indexed in Scopus® and specializes in publishing articles related to heat and mass transfer. The journal covers both theoretical and experimental aspects and emphasizes their applications in engineering, electronics, environmental sciences, and nanoscale heat transfer. Additionally, the journal welcomes articles that explore transport-property data, energy engineering, and environmental applications.

Submit Article

INFLUENCE OF THERMAL RADIATION AND VISCOUS DISSIPATION ON FLUID FLOW PAST AN OSCILLATING VERTICAL PLATE WITH VARIABLE SURFACE TEMPERATURE

Authors

  • R. Rajaraman
  • R. Muthucumaraswamy

Keywords:

radiation, viscous dissipation, oscillating plate, variable temperature, finite difference

DOI:

https://doi.org/10.17654/0973576325037

Abstract

This study examines the effects of thermal radiation and viscous dissipation on the transient free convective flow occurring over an oscillating, semi-infinite vertical plate, characterized by uniform mass diffusion and a surface temperature that varies. The governing equations, presented in non-dimensional form, are addressed through a stable and convergent implicit finite-difference approach. The influence of different physical parameters, such as thermal radiation, Eckert number, Prandtl number, Schmidt number, thermal Grashof number, mass Grashof number, and phase angle, is illustrated via graphical representations of velocity, temperature and concentration. The results underscore the notable influence of the radiation parameter, viscous dissipation, and plate oscillation on the flow pattern.

Received: July 20, 2025
Revised: August 5, 2025
Accepted: August 19, 2025

References

[1] R. D. Cess, The interaction of thermal radiation with free convection heat transfer, International Journal of Heat and Mass Transfer 9(11) (1966), 1269-1277.

https://doi.org/10.1016/0017-9310(66)90119-0.

[2] W. G. England and A. F. Emery, Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas, Journal of Heat Transfer 91(1) (1969), 37-44. https://doi.org/10.1115/1.3580116.

[3] E. H. Cheng and M. N. Ozisik, Radiation with free convection in an absorbing, emitting and scattering medium, International Journal of Heat and Mass Transfer 15(6) (1972), 1243-1252. https://doi.org/10.1016/0017-9310(72)90188-3.

[4] M. H. Mansour, Radiative and free convection effects on the oscillatory flow past a vertical plate, Astrophysics and Space Science 166 (1990), 269-275.

http://dx.doi.org/10.1007/BF01094898.

[5] U. N. Das, R. K. Deka and V. M. Soundalgekar, Transient free convection flow past an infinite vertical plate with periodic temperature variation, Journal of Heat Transfer 121(4) (1999), 1091-1094.

[6] R. Muthucumaraswamy and A. Vijayalakshmi, Effects of heat and mass transfer on flow past an oscillating vertical plate with variable temperature, International Journal of Applied Mathematics and Mechanics 4(1) (2008), 59-65.

[7] B. Vasu, V. R. Prasad and N. Bhaskar Reddy, Radiation and mass transfer effects on transient free convection flow of a dissipative fluid past a semi-infinite vertical plate with uniform heat and mass constant flux, Journal of Applied Fluid Mechanics 4(1) (2011), 15-26. https://doi.org/10.36884/jafm.4.01.11897.

[8] R. Muthucumaraswamy and R. Saravanan, Finite difference solution of unsteady flow past an oscillating semi-infinite vertical plate with variable surface temperature and uniform mass flux, International Journal of Applied Mechanics and Engineering 19 (2014), 709-724. http://dx.doi.org/10.2478/ijame-2014-0049.

[9] S. Das, R. N. Jana and A. J. Chamkha, Unsteady free convection flow past a vertical plate with heat and mass fluxes in the presence of thermal radiation, Journal of Applied Fluid Mechanics 8(4) (2015), 845-854.

https://doi.org/10.18869/acadpub.jafm.67.223.23265.

[10] M. Miglani, N. R. Garg and M. K. Sharma, Radiative effect on flow and heat transfer over a vertically oscillating porous flat plate embedded in porous medium with oscillating surface temperature, Open Journal of Fluid Dynamics 6 (2016), 119-129. 10.4236/ojfd.2016.62010.

[11] B. Gebhart, Effects of viscous dissipation in natural convection, J. Fluid Mech. 14(2) (1962), 225-232. https://doi.org/10.1017/S0022112062001196.

[12] R. L. Mahajan and B. Gebhart, Viscous dissipation effects in buoyancy induced flows, International Journal of Heat and Mass Transfer 32(7) (1989), 1380-1382. https://doi.org/10.1016/0017-9310(89)90038-0.

[13] G. Palani, Viscous dissipative fluid past a semi-infinite vertical plate with variable surface temperature, Internat. J. Numer. Methods Fluids 55(12) (2007), 1157-1169. https://doi.org/10.1002/fld.1511.

[14] A. R. Vijayalakshmi and M. Selvajayanthi, Numerical study on flow past an oscillating plate with variable temperature and uniform mass diffusion under chemical reaction, International Journal of Applied Mechanics and Engineering 19 (2014), 181-193. http://dx.doi.org/10.2478/ijame-2014-0013.

[15] K. Shiva Reddy, V. Srinivasa Rao and Y. Dharmeder Reddy, Finite element analysis of effects of heat and mass transfer on flow past an oscillating vertical plate with variable temperature, Glob. J. Pure Appl. Math. 11(2) (2015), 220-223.

[16] J. G. Kumar, Viscous dissipation and mass transfer effects of flow past a parabolic started vertical plate with variable temperature and mass diffusion, i-manager’s Journal on Mathematics 4(1) (2015), 40-45.

https://doi.org/10.26634/jmat.4.1.3237.

[17] P. T. Hemamalini and N. Suresh Kumar, The effects of thermal radiation and viscous dissipation on heat and mass diffusion flow past an oscillating infinite vertical plate with variable temperature embedded in a porous medium, International Journal of Creative Research Thoughts 6(2) (2018), 1165-1173.

http://www.ijcrt.org/papers/IJCRT1892173.pdf.

[18] A. O. Ajibade and P. O. Ojeagbase, Effect of viscous dissipation on steady natural convection heat and mass transfer in a vertical channel with variable viscosity and thermal conductivity, Journal of Heat and Mass Transfer Research 7(2) (2020), 105-116. https://doi.org/10.22075/jhmtr.2020.18774.1250.

[19] R. Rajaraman and R. Muthucumaraswamy, Numerical solution of radiative and viscous dissipative fluid flow along an oscillating vertical plate, Symmetry-Basel 14(7) (2022), Article 1488. https://doi.org/10.3390/sym14071488.

[20] B. Carnahan, H. A. Luther and J. O. Wilkes, Applied Numerical Methods, John Wiley and Sons, New York, 1969.

Downloads

Published

2025-09-27

Issue

Vol. 38 No. 5 (2025)

Section

Articles

License

Copyright (c) 2025 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

____________________________

Licensing Terms:

Attribution: Credit Pusha Publishing House as the original publisher, including title and author(s) if applicable.

Non-Commercial Use: For non-commercial purposes only. No commercial activities without explicit permission.

No Derivatives: Modifying or creating derivative works not allowed without written permission.

Contact Pusha Publishing House for more info or permissions.

How to Cite

INFLUENCE OF THERMAL RADIATION AND VISCOUS DISSIPATION ON FLUID FLOW PAST AN OSCILLATING VERTICAL PLATE WITH VARIABLE SURFACE TEMPERATURE. (2025). JP Journal of Heat and Mass Transfer, 38(5), 715-730. https://doi.org/10.17654/0973576325037

Similar Articles

1-10 of 137

You may also start an advanced similarity search for this article.