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2019 | OriginalPaper | Chapter

4. Ordinary Differential Equations of Boundary Layer of Nanofluid’s Natural Convection

Authors : De-Yi Shang, Liang-Cai Zhong

Published in: Heat Transfer Due to Laminar Natural Convection of Nanofluids

Publisher: Springer International Publishing

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Abstract

The partial differential equations of natural convection boundary layer with conventional fluid’s flow are equivalently transformed to the related ordinary differential equations. A feasibility is demonstrated to describe the mass, momentum and energy conservation of nanofluid’s natural convection by using those of nanofluid’s natural convection. By an innovative similarity transformation, the partial differential equations of nanofluid’s natural convection boundary layer are equivalently transformed to the related ordinary differential equations. On this basis, the two-dimensional ordinary differential equations of nanofluid’s natural convection are determined for extensive exploration of heat transfer of nanofluid’s natural convection.

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Appendix
Available only for authorised users
Literature
1.
go back to reference Shang, D.-Y., Wang, B.-X., Zhong, L.-C.: An innovative similarity transformation for in-depth research of convection heat and mass transfer. Sci. J. Energy Eng. Spec. Issue Convect. Heat Mass Transfer 3(3–1), 1–7 (2015) Shang, D.-Y., Wang, B.-X., Zhong, L.-C.: An innovative similarity transformation for in-depth research of convection heat and mass transfer. Sci. J. Energy Eng. Spec. Issue Convect. Heat Mass Transfer 3(3–1), 1–7 (2015)
2.
go back to reference Shang, D.Y., Zhong, L.C.: A similarity transformation of velocity field and its application for an in-depth study on laminar free convection heat transfer of gases. Int. J. Therm. Sci. 101, 106–115 (2016)CrossRef Shang, D.Y., Zhong, L.C.: A similarity transformation of velocity field and its application for an in-depth study on laminar free convection heat transfer of gases. Int. J. Therm. Sci. 101, 106–115 (2016)CrossRef
3.
go back to reference Xuan, Y., Roetzel, W.: Conceptions for heat transfer correlation of nanofluids. Int. J. Heat Mass Transfer 43(19), 3701–3707 (2000) Xuan, Y., Roetzel, W.: Conceptions for heat transfer correlation of nanofluids. Int. J. Heat Mass Transfer 43(19), 3701–3707 (2000)
Metadata
Title
Ordinary Differential Equations of Boundary Layer of Nanofluid’s Natural Convection
Authors
De-Yi Shang
Liang-Cai Zhong
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-319-94403-6_4

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