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

被引：9

作者：

Aly, Emad H. ^{[1
,2
]}

Ebaid, Abdelhalim ^{[3
]}

Abd Elazem, Nader Y. ^{[3
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Ain Shams Univ, Fac Educ, Dept Math, Cairo 11757, Egypt

[3] Univ Tabuk, Fac Sci, Dept Math, Tabuk 71491, Saudi Arabia

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2014年 / 8卷 / 04期

关键词：

Nanofluid; stretching sheet; partial slip; heat transfer; exact solution; ChPDM; LAYER-FLOW; THERMAL-CONDUCTIVITY; POROUS-MEDIUM; ENHANCEMENT; SURFACE;

D O I：

10.12785/amis/080419

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

收藏

页码：1639 / 1645

页数：7

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