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Analytical and numerical studies on heat transfer of a nanofluid over a stretching/shrinking sheet with second-order slip flow model

Abstract
Background: The objective of the present study is to analyse the steady second-order slip flow and heat transfer of an
incompressible viscous water-based nanofluid over a stretching/shrinking sheet both analytically and numerically.
Methods: Using the scaling group transformations, a system of partial differential equations governing the flow and
thermal fields is transformed into a system of ordinary differential equations. An exact solution to the momentum
equation is obtained, and the solution of the energy equation is obtained in terms of a hypergeometric function for
different water-based nanofluids containing Au, Ag, Cu, Al, Al2O3 and TiO2 nanoparticles. Numerical solutions are
obtained using a fourth-order Runge–Kutta method coupled with a shooting iteration technique.
Results: It is found that there exist a unique solution in the case of a stretching sheet with suction, but there is no
solution in both stretching and shrinking sheets with injection. Dual solutions are obtained in a shrinking sheet beyond
a suction critical point. The presence of nanoparticles decreases the suction critical point.

Conclusions: Excellent agreement is observed between the analytical and numerical results. The effects of important
physical parameters are analysed in detail. The corresponding local skin-friction coefficient and the reduced Nusselt
number are also calculated and displayed in tables.

Keywords: Second-order slip, Heat transfer, Nanofluid, Scaling group transformations, Stretching/shrinking sheet

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Informasi Detail
Judul Seri
-
No. Panggil
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Penerbit
: Springer Singapore.,
Deskripsi Fisik
International Journal of Mechanical and Materials Engineering
Bahasa
English
ISBN/ISSN
2198-2791
Klasifikasi
NONE
Tipe Isi
-
Tipe Media
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Tipe Pembawa
-
Edisi
-
Subjek
TEKNIK MESIN
MEKANIKA TEKNIK
Info Detail Spesifik
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Pernyataan Tanggungjawab
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Tidak tersedia versi lain

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