Analytical and Numerical Investigations for the Flow and Heat Transfer of Nanofluids over a Stretching Sheet with Partial Slip Boundary Condition

Authors

Emad H. Aly, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia\\ Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11757, Cairo, EgyptFollow
Abdelhalim Ebaid
Nader Y. Abd Elazem

Author Country (or Countries)

Egypt

Abstract

Due to importance of the slip effect on modeling the boundary layer flows of nanofluids, theoretical and numerical investigations have been introduced in this paper for studying the effect of a partial slip boundary condition on the heat transfer of nanofluids over a stretching sheet. The exact solutions of the investigating model were obtained in terms of exponential, Gamma, and incomplete Gamma functions at some values of the physical parameters. These solutions were then numerically validated by using Chebyshev pseudospectral differentiation matrix (ChPDM) technique. The numerical results reveal that this approach is really effective, very accurate, and convenient in studying the similar problems.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080419

Recommended Citation

H. Aly, Emad; Ebaid, Abdelhalim; and Y. Abd Elazem, Nader (2014) "Analytical and Numerical Investigations for the Flow and Heat Transfer of Nanofluids over a Stretching Sheet with Partial Slip Boundary Condition," Applied Mathematics & Information Sciences: Vol. 08: Iss. 4, Article 19.
DOI: http://dx.doi.org/10.12785/amis/080419
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss4/19