MHD flow of viscoelastic nanofluid over a stretching sheet in a porous medium with heat source and chemical reaction

MHD flow of viscoelastic nanofluid over a stretching sheet in a porous medium with heat source and chemical reaction

Kharabela Swain  Sampada Kumar Parida  Gouranga Charan Dash 

Department of Mathematics, Radhakrishna Institute of Technology and Engineering, Bhubaneswar 752057, India

Department of Mathematics, Siksha ’O’ Anusandhan (Deemed to be University), Bhubaneswar 751030, India

Corresponding Author Email: 
kharabela1983@gmail.com
Page: 
7-21
|
DOI: 
https://doi.org/10.3166/ACSM.42.7-21
Received: 
|
Accepted: 
|
Published: 
31 March 2018
| Citation

OPEN ACCESS

Abstract: 

The present study investigates the heat and mass transfer of MHD viscoelastic (Walters’ B’ model) nanofluid flow over a stretching sheet embedded in a saturated porous medium subject to thermal slip and temperature jump. A simulation model is established through the analysis on relevant constraints such as stretching of bounding surface keeping the origin fixed and thermal slip and temperature jump on the boundary. The numerical solutions are obtained by Runge-Kutta fourth order method with shooting technique. The affects of important thermo-physical parameters on the velocity, temperature, concentration and surface criteria are displayed and analyzed through graphs and tables. As a result of the analysis, the following observations are made. Elasticity of the base fluid in the presence of nanoparticle acts adversely to the growth of velocity as well as thermal boundary layers. Brownian diffusion, thermophoresis and heat source enhance the fluid temperature resulting the cooling of the stretching surface. Further, positive values of heat and mass fluxes for different values of elastic, magnetic and permeability parameters indicate that heat and mass transfer occur from the stretching surface to the fluid. These recommendations are useful to limit the parameters to design viable heat exchangers

Keywords: 

MHD, viscoelastic, nanofluid, chemical reaction, heat source/sink

1. Introduction
2. Mathematical analysis
3. Skin friction, heat and mass transfer coefficients
4. Method of solution
5. Results and discussion
6. Conclusion
Nomenclature
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