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Technical Brief

Homogeneous–Heterogeneous Reactions of Blasius Flow in a Nanofluid

[+] Author and Article Information
Hang Xu

Collaborative Innovation Center for Advanced Ship
and Deep-Sea Exploration (CISSE),
State Key Lab of Ocean Engineering,
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 11, 2018; final manuscript received September 15, 2018; published online November 22, 2018. Assoc. Editor: Thomas Beechem.

J. Heat Transfer 141(2), 024501 (Nov 22, 2018) (6 pages) Paper No: HT-18-1022; doi: 10.1115/1.4041801 History: Received January 11, 2018; Revised September 15, 2018

An investigation is made to study the Blasius flow of a nanofluid in the presence of homogeneous–heterogeneous chemical reactions. Here, the diffusion coefficients of the reactant and autocatalyst are considered to be in comparable sizes. The Buongiorno's mathematical model is applied in describing the behavior of nanofluids. Multiple solutions of the steady-state system of nonlinear ordinary differential equations are obtained. Results show that nanofluids significantly participate in the transport mechanism of the homogeneous–heterogeneous reactions, which play different roles in the procedures of homogeneous and heterogeneous reactions.

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References

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Figures

Grahic Jump Location
Fig. 1

Variation of ϕ(0) and χ(0) with Ks for some values of NAT in the case of Pr = 6.8, λ = 1, ScA = 1, and ϵ = 5. Solid line: solutions for ϕ(0), dashed line: solutions for χ(0): (a) K = 0, (b) K = 1, (c) K = 2, and (d) K = 4.

Grahic Jump Location
Fig. 2

Variation of ϕ(0) and χ(0) with K for some values of NAT in the case of Pr = 6.8, λ = 1, ScA = 1, and ε = 5. Solid line: solutions for ϕ(0), dashed line: solutions for χ(0): (a) Ks = 0, (b) Ks = 0.05, and (c) Ks = 0.1.

Grahic Jump Location
Fig. 3

Variation of ϕ(0) and χ(0) with ε for some values of NAT in the case of Pr = 6.8, λ = 1, ScA = 1, K = 2.5, and Ks = 0.05. Solid line: solutions for ϕ(0), dashed line: solutions for χ(0).

Grahic Jump Location
Fig. 4

Variation of ϕ(0) and χ(0) with ScA for some values of NAT in the case of Pr = 6.8, λ = 1, ε = 5, K = 2.5, and Ks = 0.05. Solid line: solutions for ϕ(0), dashed line: solutions for χ(0).

Grahic Jump Location
Fig. 5

ϕ(η) against η for some values of NAT in the case of Pr = 6.8, λ = 1, ScA = 1, ε = 5, K = 4, and Ks = 0.02. Solid line: NAT = 5; dashed line: NAT = 10; dash-dotted line: NAT = 100.

Grahic Jump Location
Fig. 6

χ(η) against η for some values of NAT in the case of Pr = 6.8, λ = 1, ScA = 1, ε = 5, K = 4, and Ks = 0.02. Solid line: NAT = 5; dashed line: NAT = 10; dash-dotted line: NAT = 100.

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