This paper reports the numerical results for the natural convection flow of a two-phase dusty nanofluid along a vertical wavy frustum of a cone. The general governing equations are transformed into parabolic partial differential equations, which are then solved numerically with the help of implicit finite difference method. Comprehensive flow formations of carrier and dusty phases are given with the aim to predict the behavior of heat and mass transport across the heated wavy frustum of a cone. The effectiveness of utilizing the nanofluids to control skin friction and heat and mass transport is analyzed. The results clearly show that the shape of the waviness changes when nanofluid is considered. It is shown that the modified diffusivity ratio parameter, NA, extensively promotes rate of mass transfer near the vicinity of the cone, whereas heat transfer rate reduces.
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Numerical Solutions of Natural Convection Flow of a Dusty Nanofluid About a Vertical Wavy Truncated Cone
Sadia Siddiqa,
Sadia Siddiqa
Head, Department of Mathematics,
COMSATS Institute of Information Technology,
Kamra Road,
Attock 43600, Pakistan
e-mail: saadiasiddiqa@gmail.com
COMSATS Institute of Information Technology,
Kamra Road,
Attock 43600, Pakistan
e-mail: saadiasiddiqa@gmail.com
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Naheed Begum,
Naheed Begum
Institute of Applied Mathematics (LSIII),
TU Dortmund,
Vogelpothsweg 87,
Dortmund D-44221, Germany
TU Dortmund,
Vogelpothsweg 87,
Dortmund D-44221, Germany
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M. A. Hossain,
M. A. Hossain
UGC Professor
Department of Mathematics,
University of Dhaka,
Dhaka 1000, Bangladesh
Department of Mathematics,
University of Dhaka,
Dhaka 1000, Bangladesh
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Rama Subba Reddy Gorla
Rama Subba Reddy Gorla
Department of Mechanical & Civil Engineering,
Purdue University Northwest,
Westville, IN 46391
e-mail: rgorla@pnw.edu
Purdue University Northwest,
Westville, IN 46391
e-mail: rgorla@pnw.edu
Search for other works by this author on:
Sadia Siddiqa
Head, Department of Mathematics,
COMSATS Institute of Information Technology,
Kamra Road,
Attock 43600, Pakistan
e-mail: saadiasiddiqa@gmail.com
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-44221, Germany
TU Dortmund,
Vogelpothsweg 87,
Dortmund D-44221, Germany
M. A. Hossain
UGC Professor
Department of Mathematics,
University of Dhaka,
Dhaka 1000, Bangladesh
Department of Mathematics,
University of Dhaka,
Dhaka 1000, Bangladesh
Rama Subba Reddy Gorla
Department of Mechanical & Civil Engineering,
Purdue University Northwest,
Westville, IN 46391
e-mail: rgorla@pnw.edu
Purdue University Northwest,
Westville, IN 46391
e-mail: rgorla@pnw.edu
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 13, 2016; final manuscript received August 20, 2016; published online November 8, 2016. Assoc. Editor: Dr. Antonio Barletta.
J. Heat Transfer. Feb 2017, 139(2): 022503 (11 pages)
Published Online: November 8, 2016
Article history
Received:
June 13, 2016
Revised:
August 20, 2016
Citation
Siddiqa, S., Begum, N., Hossain, M. A., and Gorla, R. S. R. (November 8, 2016). "Numerical Solutions of Natural Convection Flow of a Dusty Nanofluid About a Vertical Wavy Truncated Cone." ASME. J. Heat Transfer. February 2017; 139(2): 022503. https://doi.org/10.1115/1.4034815
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