Unsteady Separated Stagnation Point Flow of Nanofluid past a ‎Moving Flat Surface in the Presence of Buongiorno's Model

Document Type : Research Paper

Authors

1 Department of Mathematics, Bharathiar University, Coimbatore 641 046, India

2 Department of Mathematics, Bharathiar University, Coimbatore 641 046, India‎

3 Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al Ain, Abu Dhabi

4 Division of Mechanical Engineering, College of Engineering, Korea Maritime and Ocean University, Busan 606 781, South Korea

5 Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia ‎

Abstract

This paper explores energy and mass transport behavior of unstable separated stagnation point flow of nanofluid over a moving flat surface along with Buongiorno’s model. Characteristic of Brownian diffusion and thermophoresis are considered. Additionally, characteristics of chemical reaction is taken into account. A parametric investigation is performed to investigate the outcome of abundant parameters such as temperature, velocity and concentration. An appropriate equation is converting into a set of ODEs through employing appropriate transformation. The governing equations has been solved numerically by using the classical fourth-order Runge-Kutta integration technique combined with the conventional shooting procedure after adapting it into an initial value problem. Our findings depict that the temperature field θ(ζ) improves for augmenting values of theromophoresis parameter (Nt) with dual solutions of attached flow without inflection and flow with inflection. Also, the difference of Brownian motion parameter (Nb) with two different solutions of attached flow exists with energy profile. It can be found that an energy profile θ(ζ) elevates due to augmenting values of (Nb). It has been perceived that thermal boundary layer thickness elevates due to large amount of Brownian motion parameter (Nb).

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Main Subjects

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