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Magnetohydrodynamic three-dimensional boundary layer flow and heat transfer of water-driven copper and alumina nanoparticles induced by convective conditions

Department of Mathematics, Swami Keshvanand Institute of Technology, Management and Gramothan, Ramnagaria, Jaipur 302017, Rajasthan, India

E-mail Address: guptasumit.edu@gmail.com

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Devendra Kumar

http://orcid.org/0000-0003-4249-6326

Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India

E-mail Address: devendra.maths@gmail.com

Corresponding author.

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, and

Jagdev Singh

Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India

E-mail Address: jagdevsinghrathore@gmail.com

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https://doi.org/10.1142/S0217979219503077Cited by:21 (Source: Crossref)

Abstract

This work examines the magnetohydrodynamic (MHD) three-dimensional (3D) flow comprising Cu and Al₂O₃ water-based nanofluids. The effects of heat and mass transfer with the effects of nanoparticles are carried out in the existence of thermal radiation and convective heat and mass transfer boundary conditions. By applying the proper similarity transformations the partial differential equations describing velocity, temperature and nanoparticle volume fraction (NVF) are transformed to a system of nonlinear ordinary differential equations (NODE). An optimal homotopy analysis technique is applied to evaluate the analytical solutions. The influences of pertinent parameters on the velocity, temperature and NVF are displayed in graphical and tabular forms. Calculations of Nusselt number, skin friction coefficients and the local Sherwood number are evaluated via tables. An excellent comparison has also been made with the previously-published literature.

Keywords:

PACS: 44.05.+e, 44.20.+b, 45.10.-b

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