The study of three dimensional radiative mhd casson nanofluid over an exponential porous stretching sheet with heat source under convective boundary conditions

The study of three dimensional radiative mhd casson nanofluid over an exponential porous stretching sheet with heat source under convective boundary conditions

Prathi V. KumarShaik M. Ibrahim Giulio Lorenzini 

Department of Mathematics, GITAM Deemed to be University, Visakhapatnam, Andhra Pradesh 530045, India

Department of Engineering and Architecture, University of Parma, Parco Area delle Scienze 181/A Parma 43124, Italy

Corresponding Author Email: 
ibrahimsvu@gmail.com
Page: 
1-10
|
DOI: 
https://doi.org/10.18280/ijht.360101
Received: 
10 December 2017
|
Accepted: 
7 March 2018
|
Published: 
31 March 2018
| Citation

OPEN ACCESS

Abstract: 

The aspire of this study is to analyse the magnetohydrodynamic (MHD) three dimensional flow of nanofluid induced by an exponentially stretching sheet in the presence of radiation and heat source. Casson fluid model is espoused in this discussion. The repercussion of porous matrix on the Casson nanofluid is also considered. Analysis is carried out when the surface shows convective condition. Brownian motion and thermophoresis effects are considered. Governing equations are evolved and converted into ordinary differential equations using similarity transformations. We adopted homotopy analysis method (HAM) to pick up the solutions. Impact of various parameters is displayed through graphs and tables and discussed in detail. Dual solutions are established by taking Casson and Newtonian fluids. A comparison is made and the correspondence between the acquired and previous results reveals that they are in good correlation.

Keywords: 

three dimensional flow, casson fluid, exponentially stretching sheet, radiation, HAM

1. Introduction
2. Mathematical Formulation
3. HAM
4. Convergence of HAM
5. Results and Discussion
6. Conclusions
Nomenclature
Greek Symbols
  References

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