# Influence of Variable Transport Properties on Casson Nanofluid Flow over a Slender Riga Plate: Keller Box Scheme

## Authors

• Kerehalli Vinayaka Prasad Department of Mathematics, VSK University, Vinayaka Nagar, Ballari-583 105, Karnataka, India
• Hanumesh Vaidya Department of Mathematics, VSK University, Vinayaka Nagar, Ballari-583 105, Karnataka, India
• Gudekote Manjunatha Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
• Kuppalapalle Vajravelu Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA
• Choudhari Rajashekhar Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
• V. Ramanjini Department of Mathematics, VSK University, Vinayaka Nagar, Ballari-583 105, Karnataka, India

## Keywords:

Riga plate, melting heat transfer, variable fluid properties, Keller box method

## Abstract

In this article, an analysis has been carried out to study the effects of variable viscosity and variable thermal conductivity on the heat transfer characteristics of a Casson nanofluid over a slender Riga plate with zero mass flux and melting heat transfer boundary conditions. The nonlinear governing equations with the suitable boundary conditions are initially cast into dimensionless form by similarity transformations. The resulting coupled highly nonlinear equations are solved numerically by an efficient second-order finite difference scheme known as Keller Box Method. The effect of various physical parameters on velocity, temperature, and concentration profiles are illustrated through graphs and the numerical values are presented in tables. One of the critical findings of our study is that the effect of variable viscosity on velocity shows reducing nature, but there is an increasing nature in temperature and concentration.

2020-12-23

## How to Cite

Prasad, K. V. ., Vaidya, H. ., Manjunatha, G. ., Vajravelu, K. ., Rajashekhar, C. ., & Ramanjini, V. . (2020). Influence of Variable Transport Properties on Casson Nanofluid Flow over a Slender Riga Plate: Keller Box Scheme. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 64(1), 19–42. Retrieved from https://www.akademiabaru.com/submit/index.php/arfmts/article/view/2744

Articles