Dual Solutions Of An Unsteady Flow, Heat And Mass Transfer Of An Electrically Conducting Fluid Over A Shrinking Sheet In The Presence Of Radiation And Viscous Dissipation

Keywords

Dual solutions; Homotopy analysis method; Shrinking sheet; Viscous dissipation

Abstract

In this study we analyze the effects of thermal radiation and surface mass transfer on the flow generated by a shrinking sheet. Homotopy analysis method (HAM) is employed to obtain analytical solutions for the flow, temperature and mass concentration fields. The plots for the velocity, temperature and concentration fields are presented and their behavior is discussed for several sets of values of the governing parameters. Dual solutions are observed to exist for the shrinking sheet problem. Surface drag coefficient of the stable solution is enhanced for increasing values of the magnetic parameter and suction parameter. Also, thermal radiation parameter and Eckert number increase the rate of heat transfer in the case of stable solution. However, mass transfer rate of the stable solution is noticed to be a decreasing function of Schmidt number and chemical reaction parameter. We expect that the results obtained will not only provide useful information for industrial applications but also complement the existing literature.

Publication Date

9-1-2017

Publication Title

International Journal of Mechanical Sciences

Volume

130

Number of Pages

119-132

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.ijmecsci.2017.05.040

Socpus ID

85020769277 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85020769277

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