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Research Papers: Heat and Mass Transfer

Impact of Cattaneo–Christov Heat Flux Model on Stagnation-Point Flow Toward a Stretching Sheet with Slip Effects

[+] Author and Article Information
Fayeza Al Sulti

Sur College of Applied Sciences,
College of Applied Science,
P.O. Box: 484,
Sur 411, Oman
e-mail: fayezas.sur@cas.edu.om

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 21, 2018; final manuscript received October 23, 2018; published online December 13, 2018. Assoc. Editor: George S. Dulikravich.

J. Heat Transfer 141(2), 022003 (Dec 13, 2018) (6 pages) Paper No: HT-18-1105; doi: 10.1115/1.4041959 History: Received February 21, 2018; Revised October 23, 2018

Stagnation-point flow toward a stretching sheet with slip effects has been investigated. Unlike most classical works, Cattaneo–Christov heat flux model is utilized for the formulation of the energy equation instead of Fourier's law of heat conduction. A similarity transformation technique is adopted to reduce partial differential equations into a system of nonlinear ordinary differential equations. Numerical solutions are obtained by using shooting method to explore the features of various parameters for the velocity and temperature distributions. The obtained results are graphically presented and analyzed. It is found that fluid temperature has a converse relationship with the thermal relaxation time. A comparison of Cattaneo–Christov heat flux model and Fourier's law is also presented.

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Figures

Grahic Jump Location
Fig. 1

Schematic flow diagram

Grahic Jump Location
Fig. 2

Impact of λ2 on the velocity profiles for different values of γ when ε = 1.0, δ = 0.6, and Pr = 0.3

Grahic Jump Location
Fig. 3

Impact of γ with δ on the velocity profiles when ε = 1.0, λ2 = −2, and Pr = 0.3

Grahic Jump Location
Fig. 4

Impact of γ with δ on the temperature profiles when ε = 1.0, λ2 = −2, and Pr = 0.3

Grahic Jump Location
Fig. 5

Impact of Pr on the temperature profiles when ε = 1.0, γ = 0.3, λ2 = −2, and δ = 0.6

Grahic Jump Location
Fig. 6

Variation of skin friction coefficient with λ for different value of δ when ε = 1.0, Pr = 0.3, and γ = 0.5

Grahic Jump Location
Fig. 7

Variation of Nusselt number with λ for different value of δ when ε = 1.0, Pr = 0.3, and γ = 0.5

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