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Research Papers

Numerical Estimation of Thermal Radiation Effects on Marangoni Convection of Dusty Fluid

[+] Author and Article Information
Sadia Siddiqa

Department of Mathematics,
COMSATS Institute of Information Technology,
Kamra Road,
Attock 43600, Pakistan
e-mail: saadiasiddiqa@gmail.com

Naheed Begum

Institute of Applied Mathematics (LSIII),
TU Dortmund,
Vogelpothsweg 87,
Dortmund D-44227, Germany

Md. Anwar Hossain

Professor
Fellow of Bangladesh Academy of Science
Department of Mathematics,
University of Dhaka,
Dhaka 1000, Bangladesh

Abdullah A. A. A. Al-Rashed

Department of Automotive and Marine
Engineering Technology,
College of Technological Studies,
The Public Authority for Applied
Education and Training,
Kuwait 13092, Kuwait

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received December 11, 2016; final manuscript received May 16, 2017; published online August 29, 2017. Assoc. Editor: Steve Q. Cai.

J. Thermal Sci. Eng. Appl 10(2), 021005 (Aug 29, 2017) (7 pages) Paper No: TSEA-16-1368; doi: 10.1115/1.4037209 History: Received December 11, 2016; Revised May 16, 2017

In this paper, numerical solutions to thermally radiating Marangoni convection of dusty fluid flow along a vertical wavy surface are established. The results are obtained with the understanding that the dust particles are of uniform size and dispersed in optically thick fluid. The numerical solutions of the dimensionless transformed equations are obtained through straightforward implicit finite difference scheme. In order to analyze the influence of various controlling parameters, results are displayed in the form of rate of heat transfer, skin friction coefficient, velocity and temperature profiles, streamlines, and isotherms. It is observed that the variation in thermal radiation parameter significantly alters the corresponding particle pattern and extensively promotes the heat transfer rate.

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Figures

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Fig. 1

The physical model

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Fig. 2

Local Nusselt number coefficient for a = 0.1 and 0.3, while Pr = 1.0, Θw = 1.1, and λ = Rd = Dρ = αd = 0.0

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Fig. 3

(a) Skin friction and (b) rate of heat transfer for Dρ = 0.0 and 10.0, while Pr = 7.0, γ = 0.1, αd = 0.1, λ = 1.0, Rd = 2.0, Θw = 1.1, and a = 0.3

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Fig. 4

(a) Skin friction and (b) rate of heat transfer for Rd = 0.0, 1.0, and 3.0, while Pr = 7.0, Dρ = 10.0, γ = 0.1, αd = 0.1, λ = 1.0, Θw = 1.1, and a = 0.5

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Fig. 5

(a) Skin friction and (b) rate of heat transfer for Θw = 1.0, 1.1, and 1.3, while Pr = 7.0, Dρ = 10.0, γ = 0.1, αd = 0.1, λ = 1.0, Rd = 0.5, and a = 0.3

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Fig. 6

(a) Velocity profiles and (b) temperature profiles for Rd = 0.0 and 2.0, while Pr = 7.0, Dρ = 10.0, γ = 0.1, αd = 0.1, λ = 1.0, a = 0.3, and Θw = 1.1

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Fig. 7

(a) Streamlines and (b) isotherms for Dρ = 0.0 and 10.0, while Pr = 7.0, γ = 0.1, αd = 0.1, λ = 1.0, Rd = 2.0, Θw = 1.1, and a = 0.3

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