INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS

Mosayeb Gholınıa; Saber Gholınıa; Hossein Javadı; Davood Domiri Ganjı

INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS

Abstract

In this paper, we have used the Variational Iteration Method (VIM) to study micropolar fluid flow and heat transfer in a two-dimensional permeable channel. To check the precision of the obtained results, they have been compared with the results of Runge-Kutta Fourth-Order Method, Akbari-Ganji's Method (AGM), Collocation Method (CM), and Flex-PDE software. The influences of various parameters including microrotation/angular velocity, Peclet number (Pe), and Reynolds number (Re) on the flow, concentration, and heat transfer distribution are studied. Based on the results, Nusselt number (Nu) has a direct relation with Reynolds number and Sherwood number (Sh), while it has a reverse relation with Peclet number. In addition, by increasing Peclet number, concentration and temperature profiles increase as well. It is concluded that both VIM and AGM are powerful methods to solve nonlinear differential equations.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Mosayeb Gholınıa This is me
0000-0001-8291-8824
Iran

Saber Gholınıa This is me
0000-0003-4597-2279
Iran

Hossein Javadı This is me
0000-0002-2059-7145
Iran

Davood Domiri Ganjı This is me
0000-0002-4293-5993
Iran

Publication Date

June 1, 2019

Submission Date

July 9, 2018

Acceptance Date

April 9, 2019

Published in Issue

Year 2019 Volume: 37 Number: 2

IZ

https://izlik.org/JA86XU84WD

Cite

RIS / Bibtex

APA

Gholınıa, M., Gholınıa, S., Javadı, H., & Ganjı, D. D. (2019). INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS. Sigma Journal of Engineering and Natural Sciences, 37(2), 393-413. https://izlik.org/JA86XU84WD

AMA

1.Gholınıa M, Gholınıa S, Javadı H, Ganjı DD. INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS. SIGMA. 2019;37(2):393-413. https://izlik.org/JA86XU84WD

Chicago

Gholınıa, Mosayeb, Saber Gholınıa, Hossein Javadı, and Davood Domiri Ganjı. 2019. “INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS”. Sigma Journal of Engineering and Natural Sciences 37 (2): 393-413. https://izlik.org/JA86XU84WD.

EndNote

Gholınıa M, Gholınıa S, Javadı H, Ganjı DD (June 1, 2019) INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS. Sigma Journal of Engineering and Natural Sciences 37 2 393–413.

IEEE

[1]M. Gholınıa, S. Gholınıa, H. Javadı, and D. D. Ganjı, “INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS”, SIGMA, vol. 37, no. 2, pp. 393–413, June 2019, [Online]. Available: https://izlik.org/JA86XU84WD

ISNAD

Gholınıa, Mosayeb - Gholınıa, Saber - Javadı, Hossein - Ganjı, Davood Domiri. “INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS”. Sigma Journal of Engineering and Natural Sciences 37/2 (June 1, 2019): 393-413. https://izlik.org/JA86XU84WD.

JAMA

1.Gholınıa M, Gholınıa S, Javadı H, Ganjı DD. INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS. SIGMA. 2019;37:393–413.

MLA

Gholınıa, Mosayeb, et al. “INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 2, June 2019, pp. 393-1, https://izlik.org/JA86XU84WD.

Vancouver

1.Mosayeb Gholınıa, Saber Gholınıa, Hossein Javadı, Davood Domiri Ganjı. INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS. SIGMA [Internet]. 2019 Jun. 1;37(2):393-41. Available from: https://izlik.org/JA86XU84WD