Nonlinear Convective Flow of Williamson Fluid Over a Slendering Stretching Sheet with Melting Heat Transfer

Authors

  • Mocherla Gayatri Department of Mathematics, Research Scholar, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh, 522302, India
  • Konda Jayarami Reddy Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh, 522302, India
  • Bommanna Lavanya Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher education, Manipal, Karnataka, 576104, India

DOI:

https://doi.org/10.37934/arfmts.91.1.1834

Keywords:

Grashof number, Williamson fluid, melting surface, non-uniform thickness, shooting technique, chemical reaction, thermal radiation

Abstract

The main concern of this paper is to analyze the nonlinearity of the Grashof numbers (thermal and diffusion) on the Williamson fluid flow across a stretching sheet with non-uniform thickness with the consideration of melting heat transfer. The modelled equations are non-dimensionalized with the utilization of similarity transformations. We used shooting technique based on Runge-Kutta 4th order method to unriddle the ensuing equations. Influence of key parameters on the common profiles i.e., velocity, temperature and concentration are deliberated with the support of graphs. And also, we examined friction factor, local Sherwood and Nusselt numbers against the same parameters and displayed the results in tabular form. It is seen that Weissenberg number and wall thickness parameters rise the magnitude of friction factor. It is additionally qualified to specify that the temperature and concentration profiles looking high in the absence of melting parametercontrasted with the presence of melting parameter.

Author Biographies

Mocherla Gayatri, Department of Mathematics, Research Scholar, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh, 522302, India

gayatri.mocherla@gmail.com

Konda Jayarami Reddy, Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh, 522302, India

drkjrreddy73@kluniversity.in

Bommanna Lavanya, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher education, Manipal, Karnataka, 576104, India

lavanya.b@manipal.edu

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Published

2022-01-16

How to Cite

Mocherla Gayatri, Konda Jayarami Reddy, & Bommanna Lavanya. (2022). Nonlinear Convective Flow of Williamson Fluid Over a Slendering Stretching Sheet with Melting Heat Transfer. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 91(1), 18–34. https://doi.org/10.37934/arfmts.91.1.1834

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