International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Double-Diffusive Natural Convective Flow of a Nanofluid past an Inclined Wavy Plate in a Non-Darcy Porous Medium

Chukka Venkata Rao
Department of Mathematics, M.V.G.R. College of Engineering (A), Vizianagaram-535005, India.

Chitteti Ramreddy
Department of Mathematics, National Institute of Technology, Warangal-506004, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.6-108

Received on December 08, 2018
  ;
Accepted on August 19, 2019

Abstract

In this paper, the double-diffusive convective flow along an inclined semi-infinite wavy plate in a nanofluid saturated non-Darcy porous medium is investigated numerically. Following Prandtl’s transposition theorem, a coordinate transformation is used to transform the irregular wavy surface into a smooth surface. The convective type thermal boundary condition is taken into account and also the Brownian motion and thermophoresis effects are considered into the present nanofluid model. The governing transport equations are initially reshaped into a system of coupled ordinary differential equations by choosing suitable similarity transformations and then solved numerically by using the Spectral Local Linearization Method (SLLM). The effects of various flow influenced parameters on the fluid flow, heat and mass transfer characteristics are explored and exhibited graphically.

Keywords- Double-diffusivity, Inclined wavy plate, Nanofluid, Spectral collocation method.

Citation

Rao, C. V., & Ramreddy, C. (2019). Double-Diffusive Natural Convective Flow of a Nanofluid past an Inclined Wavy Plate in a Non-Darcy Porous Medium. International Journal of Mathematical, Engineering and Management Sciences, 4(6), 1373-1383. https://dx.doi.org/10.33889/IJMEMS.2019.4.6-108.

Conflict of Interest

The authors confirm that this article contents have no conflict of interest.

Acknowledgements

The authors would like to express their sincere thanks to the referee and for their valuable suggestions towards the improvement of the paper.

References

Buongiorno, J. (2006). Convective transport in nanofluids. Journal of Heat Transfer, 128(3), 240-250.

Canuto, C., Hussaini, M.Y., Quarteroni, A., & Zang, T.A. (2006). Spectral methods: fundamentals in single domains. Scientific Computation Series, Springer, Berlin, Heidelberg.

Cheng, C.Y. (2010). Double diffusive natural convection along an inclined wavy surface in a porous medium. International Communications in Heat Mass Transfer, 37(10), 1471-1476.

Cheng, C.Y. (2013). Natural convection heat transfer from an inclined wavy plate in a bidisperse porous medium. International Communications in Heat Mass Transfer, 43, 69-74.

Choi, S.U.S., & Eastman, J.A. (1995). Enhancing thermal conductivity of fluids with nanoparticles. Argonne National Laboratory, United States.

Das, S.K., & Stephen, U.S. (2009). A review of heat transfer in nanofluids. Advances in Heat Transfer, 41, 81-197.

Das, S.K., Choi, S. U., Yu, W., & Pradeep, T. (2007). Nanofluids: science and technology. John Wiley & Sons, New Jersey.

Kakaç, S., & Pramuanjaroenkij, A. (2009). Review of convective heat transfer enhancement with nanofluids. International Journal of Heat and Mass Transfer, 52(13-14), 3187-3196.

Khanafer, K., & Vafai, K. (2002). Double-diffusive mixed convection in a lid-driven enclosure filled with a fluid-saturated porous medium. Numerical Heat Transfer: Part A: Applications, 42(5), 465-486.

Lakshmi Narayana, P.A., & Sibanda, P. (2010). Soret and Dufour effects on free convection along a vertical wavy surface in a fluid saturated Darcy porous medium. International Journal of Heat and Mass Transfer, 53(15-16), 3030-3034.

Mahdy, A., & Ahmed, S.E. (2012). Laminar free convection over a vertical wavy surface embedded in a porous medium saturated with a nanofluid. Transport in Porous Media, 91(2), 423-435.

Motsa, S.S. (2013). A new spectral local linearization method for non-linear boundary layer flow problems. Journal of Applied Mathematics, 2013, ID: 423628.

Motsa, S.S., & Animasaun, I.L. (2015). A new numerical investigation of some thermo-physical properties on unsteady MHD non-Darcian flow past an impulsively started vertical surface. Thermal Sciences, 19(1), 249-258.

Nield, D.A., & Bejan, A. (2013). Convection in porous media. 4th ed. Springer, New York.

Nithiarasu, P., Seetharamu, K.N., & Sundararajan, T. (1997). Non-Darcy double-diffusive natural convection in axisymmetric fluid saturated porous cavities. Heat and Mass Transfer, 32(6), 427-433.

Srinivasacharya, D., & Vijay Kumar, P. (2015). Mixed convection over an inclined wavy surface embedded in a nanofluid saturated porous medium. International Journal of Numerical Methods for Heat and Fluid Flow, 25(8), 1774-1792.

Srinivasacharya, D., & Vijay Kumar, P. (2016). Mixed convection along an inclined wavy surface in a nanofluid saturated porous medium with wall heat flux. Journal of Nanofluids, 5(1), 120-129.

Privacy Policy| Terms & Conditions