Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow

Kajal Chandra Saha; Goutam Saha; Doli Rani Pal

doi:doi:10.11648/j.ijamtp.20180403.11

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Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow

Kajal Chandra Saha, Goutam Saha, Doli Rani Pal

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 4, Issue 3)

Received: 14 August 2018 Accepted: 30 August 2018 Published: 15 October 2018

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Abstract

In this paper, a numerical examination used to analyze the flow and heat transfer characteristics inside a double lid-driven cavity underneath buoyancy consequences of thermal diffusion. The lid is due to the movement of the isothermal vertical sidewalls of different constant temperatures, while other walls are kept adiabatic. Also, the upright walls are moving at a constant rate and four different moving wall directions are considered along these walls. Further, the governing equations of the flow and thermal fields are transformed into dimensionless equations and then solved numerically using finite difference method. A contrast of the current learn is additionally carried out with the formerly published works and observed excellent agreement. Moreover, the results from numerical simulations have been presented in the form of velocities and isothermal profiles, shown graphically and discussed for different Reynolds number. Result unveils that, the influence of the development of the velocity profiles in the chamber decreases with the augmentation of Re. Besides, the intensification of Reynolds number ends in forming diminution of thermal boundary layers near the heated wall. In addition, the maximum Average Nusselt number can be obtained when the left lid poignant towards positive direction and the right lid poignant to the same direction.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 4, Issue 3)
DOI	10.11648/j.ijamtp.20180403.11
Page(s)	67-72
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Heat Transfer, Reynolds Number, Nusselt Number, Richardson Number, Prandtl Number

References

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[7]	Sivasankaran, V. S. (2013). Numerical study on mixed convection in an inclined lid-driven cavity with discrete heating. Int. Comm. Heat Mass Transfer, 46, 112- 125.
[8]	Sharif, M. A. R. (2007). Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom, Appl. Therm. Eng, 27, 1036-1042.
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APA Style

Kajal Chandra Saha, Goutam Saha, Doli Rani Pal. (2018). Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow. International Journal of Applied Mathematics and Theoretical Physics, 4(3), 67-72. https://doi.org/10.11648/j.ijamtp.20180403.11

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ACS Style

Kajal Chandra Saha; Goutam Saha; Doli Rani Pal. Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow. Int. J. Appl. Math. Theor. Phys. 2018, 4(3), 67-72. doi: 10.11648/j.ijamtp.20180403.11

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AMA Style

Kajal Chandra Saha, Goutam Saha, Doli Rani Pal. Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow. Int J Appl Math Theor Phys. 2018;4(3):67-72. doi: 10.11648/j.ijamtp.20180403.11

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@article{10.11648/j.ijamtp.20180403.11,
  author = {Kajal Chandra Saha and Goutam Saha and Doli Rani Pal},
  title = {Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {4},
  number = {3},
  pages = {67-72},
  doi = {10.11648/j.ijamtp.20180403.11},
  url = {https://doi.org/10.11648/j.ijamtp.20180403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20180403.11},
  abstract = {In this paper, a numerical examination used to analyze the flow and heat transfer characteristics inside a double lid-driven cavity underneath buoyancy consequences of thermal diffusion. The lid is due to the movement of the isothermal vertical sidewalls of different constant temperatures, while other walls are kept adiabatic. Also, the upright walls are moving at a constant rate and four different moving wall directions are considered along these walls. Further, the governing equations of the flow and thermal fields are transformed into dimensionless equations and then solved numerically using finite difference method. A contrast of the current learn is additionally carried out with the formerly published works and observed excellent agreement. Moreover, the results from numerical simulations have been presented in the form of velocities and isothermal profiles, shown graphically and discussed for different Reynolds number. Result unveils that, the influence of the development of the velocity profiles in the chamber decreases with the augmentation of Re. Besides, the intensification of Reynolds number ends in forming diminution of thermal boundary layers near the heated wall. In addition, the maximum Average Nusselt number can be obtained when the left lid poignant towards positive direction and the right lid poignant to the same direction.},
 year = {2018}
}

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TY  - JOUR
T1  - Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow
AU  - Kajal Chandra Saha
AU  - Goutam Saha
AU  - Doli Rani Pal
Y1  - 2018/10/15
PY  - 2018
N1  - https://doi.org/10.11648/j.ijamtp.20180403.11
DO  - 10.11648/j.ijamtp.20180403.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 67
EP  - 72
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20180403.11
AB  - In this paper, a numerical examination used to analyze the flow and heat transfer characteristics inside a double lid-driven cavity underneath buoyancy consequences of thermal diffusion. The lid is due to the movement of the isothermal vertical sidewalls of different constant temperatures, while other walls are kept adiabatic. Also, the upright walls are moving at a constant rate and four different moving wall directions are considered along these walls. Further, the governing equations of the flow and thermal fields are transformed into dimensionless equations and then solved numerically using finite difference method. A contrast of the current learn is additionally carried out with the formerly published works and observed excellent agreement. Moreover, the results from numerical simulations have been presented in the form of velocities and isothermal profiles, shown graphically and discussed for different Reynolds number. Result unveils that, the influence of the development of the velocity profiles in the chamber decreases with the augmentation of Re. Besides, the intensification of Reynolds number ends in forming diminution of thermal boundary layers near the heated wall. In addition, the maximum Average Nusselt number can be obtained when the left lid poignant towards positive direction and the right lid poignant to the same direction.
VL  - 4
IS  - 3
ER  -

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Author Information

Kajal Chandra Saha

Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
Goutam Saha

Department of Mathematics, University of Dhaka, Dhaka, Bangladesh
Doli Rani Pal

Department of Mathematics, University of Dhaka, Dhaka, Bangladesh

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Plain Text BibTeX RIS

APA Style

Kajal Chandra Saha, Goutam Saha, Doli Rani Pal. (2018). Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow. International Journal of Applied Mathematics and Theoretical Physics, 4(3), 67-72. https://doi.org/10.11648/j.ijamtp.20180403.11

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ACS Style

Kajal Chandra Saha; Goutam Saha; Doli Rani Pal. Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow. Int. J. Appl. Math. Theor. Phys. 2018, 4(3), 67-72. doi: 10.11648/j.ijamtp.20180403.11

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AMA Style

Kajal Chandra Saha, Goutam Saha, Doli Rani Pal. Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow. Int J Appl Math Theor Phys. 2018;4(3):67-72. doi: 10.11648/j.ijamtp.20180403.11

Copy | Download

@article{10.11648/j.ijamtp.20180403.11,
  author = {Kajal Chandra Saha and Goutam Saha and Doli Rani Pal},
  title = {Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {4},
  number = {3},
  pages = {67-72},
  doi = {10.11648/j.ijamtp.20180403.11},
  url = {https://doi.org/10.11648/j.ijamtp.20180403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20180403.11},
  abstract = {In this paper, a numerical examination used to analyze the flow and heat transfer characteristics inside a double lid-driven cavity underneath buoyancy consequences of thermal diffusion. The lid is due to the movement of the isothermal vertical sidewalls of different constant temperatures, while other walls are kept adiabatic. Also, the upright walls are moving at a constant rate and four different moving wall directions are considered along these walls. Further, the governing equations of the flow and thermal fields are transformed into dimensionless equations and then solved numerically using finite difference method. A contrast of the current learn is additionally carried out with the formerly published works and observed excellent agreement. Moreover, the results from numerical simulations have been presented in the form of velocities and isothermal profiles, shown graphically and discussed for different Reynolds number. Result unveils that, the influence of the development of the velocity profiles in the chamber decreases with the augmentation of Re. Besides, the intensification of Reynolds number ends in forming diminution of thermal boundary layers near the heated wall. In addition, the maximum Average Nusselt number can be obtained when the left lid poignant towards positive direction and the right lid poignant to the same direction.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Double Lid Driven Cavity with Different Moving Wall Directions for Low Reynolds Number Flow
AU  - Kajal Chandra Saha
AU  - Goutam Saha
AU  - Doli Rani Pal
Y1  - 2018/10/15
PY  - 2018
N1  - https://doi.org/10.11648/j.ijamtp.20180403.11
DO  - 10.11648/j.ijamtp.20180403.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 67
EP  - 72
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20180403.11
AB  - In this paper, a numerical examination used to analyze the flow and heat transfer characteristics inside a double lid-driven cavity underneath buoyancy consequences of thermal diffusion. The lid is due to the movement of the isothermal vertical sidewalls of different constant temperatures, while other walls are kept adiabatic. Also, the upright walls are moving at a constant rate and four different moving wall directions are considered along these walls. Further, the governing equations of the flow and thermal fields are transformed into dimensionless equations and then solved numerically using finite difference method. A contrast of the current learn is additionally carried out with the formerly published works and observed excellent agreement. Moreover, the results from numerical simulations have been presented in the form of velocities and isothermal profiles, shown graphically and discussed for different Reynolds number. Result unveils that, the influence of the development of the velocity profiles in the chamber decreases with the augmentation of Re. Besides, the intensification of Reynolds number ends in forming diminution of thermal boundary layers near the heated wall. In addition, the maximum Average Nusselt number can be obtained when the left lid poignant towards positive direction and the right lid poignant to the same direction.
VL  - 4
IS  - 3
ER  -

Copy | Download