MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body

Kakali Chowdhury; Abdul Alim

doi:doi:10.11648/j.ijfmts.20190504.13

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MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body

Kakali Chowdhury, Abdul Alim

Received: 19 August 2019 Accepted: 28 October 2019 Published: 6 November 2019

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Abstract

MHD mixed convection flow in a lid driven enclosure with a sinusoidal wavy wall and heated circular body located at the center of the enclosure is studied numerically using finite element analysis. The upper wall is moving with a uniform velocity by unity, and other walls are in no slip condition. The enclosure vertical walls are insulated while the heated circular body inside the enclosure is maintained at a uniform temperature higher than the upper wall and lower wavy surface. Calculations are carried out through solving governing equations for different parameters by using finite element method. The investigation is conducted for various values of Richardson number Ri and Prandtl number Pr. The heat transfer characteristics and flow pattern inside the enclosure are presented in the form of streamlines and isothermal contours. Heat transfer rate in terms of the average Nusselt number and average fluid temperature inside the enclosure are presented for different parameters. The results indicate that the average Nusselt number at the heated surface and average temperature of the fluid inside the enclosure are strongly dependent on the configuration of the system under different geometrical and physical conditions.

DOI	10.11648/j.ijfmts.20190504.13
Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 5, Issue 4, December 2019)
Page(s)	102-110
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), 2024. Published by Science Publishing Group

Keywords

MHD Mixed Convection, Finite Element Method, Square Enclosure, Circular Heated Body

References

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[2]	Nasrin, R. (2011) Mixed magnetoconvection in a lid driven cavity with a sinusoidal wavy wall and a central heat conducting body. Journal of Naval Architecture and Marine Engineering. DOI: 10.3329/ jname.v8il.6793.
[3]	Rahman, M. M., Alim, M. A. (2010) MHD mixed convection flow in a vertical lid-driven square enclosure including a heat conducting horizontal circular cylinder with Joule heating. Nonlinear Analysis: Modeling and Control, Vol. 15, No. 2, 199-211.
[4]	Rahman M. M., Alim M. A., Mamun M. A. H (2009) Finite element analysis of mixed convection in a rectangular cavity with a heat conducting horizontal circular cylinder. Nonlinear analysis: Modeling and control, Vol.14, No. 2, 217-247.
[5]	Hakan F. Oztop, Khaled Al salem, Loan Pop (2011) MHD mixed convection in a lid driven cavity with corner heater. International Journal of Heat and Mass Transfer 54 (2011) 3494-3504.
[6]	R. YadollahiFarsani, B. Ghasemi (2011) Magnetohydrodynamic mixed convective flow in a cavity. World Academy of Science, Engineering and Technology. Vol. 5 2011-11-21.
[7]	G. A. Sheikhzadeh, S. Mazrouei, M. Mahmooodi, Elham Safaeizadeh, S. E. Hashemi (2013) Effect of a Magnetic Field on Mixed Convection of a Nanofluid in a Square Cavity. Journal of Magnetics 18 (3), 321-325.
[8]	Parvin S., Nasrin R. (2012) Effects of Reynolds and Prandtl Number on Mixed Convection in an Octagonal Channel with a Heat Generating Hollow Cylinder. Journal of Scientific Research. J. Sci. Res. 4 (2), 337-348.
[9]	N. A. Bakar, R. Roslan, A. Karimipour & I. Hashim (2019) Mixed convection in lid-driven Cavity with inclined magnetic field. Sains Malaysiana 48 (2) (2019): 451–471.
[10]	M. Muthtamilselvan, Deog Hee Doh (2014) Mixed convection of heat generating nanofluid in a lid-driven cavity with uniform and non-uniform heating of bottom wall. Applied Mathematical Modelling 38 (2014) 3164–3174.
[11]	Oztop, H. F., Al-Salem K., Pop I. (2011) MHD mixed convection in a lid driven cavity with corner heater. International journal of heat and mass transfer 54 (2011) 3494-3504.
[12]	Sivasankaran S., Sivakumar V., Prakash P. (2010) Numerical study on mixed convection in a lid driven cavity with non-uniform heating on both sidewalls. International journal of heat and mass transfer 53 (2010) 4304-4315.
[13]	Roslan R., Saleh H., Hashim I., Bataineh A. S. (2014) Natural convection in an enclosure containing a sinusoidally heated cylindrical source. International journal of heat and mass transfer 70 (2014) 119-127.
[14]	Parvin S., Nasrin R. (2011) Analysis of the flow and heat transfer characteristics for MHD free convection in an enclosure with a heated obstacle. Nonlinear Analysis: Modeling and Control, Vol. 16, No. 1, 89-99.
[15]	Rahman M. M., Alim M. A., Saha S., Chowdhury M. K. (2008) A numerical study of mixed convection in a square cavity with a heat conducting square cylinder at different locations. Journal of Mechanical Engineering, Vol. ME 39, No. 2.

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APA Style

Kakali Chowdhury, Abdul Alim. (2019). MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body. International Journal of Fluid Mechanics & Thermal Sciences, 5(4), 102-110. https://doi.org/10.11648/j.ijfmts.20190504.13

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ACS Style

Kakali Chowdhury; Abdul Alim. MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body. Int. J. Fluid Mech. Therm. Sci. 2019, 5(4), 102-110. doi: 10.11648/j.ijfmts.20190504.13

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AMA Style

Kakali Chowdhury, Abdul Alim. MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body. Int J Fluid Mech Therm Sci. 2019;5(4):102-110. doi: 10.11648/j.ijfmts.20190504.13

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@article{10.11648/j.ijfmts.20190504.13,
  author = {Kakali Chowdhury and Abdul Alim},
  title = {MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {5},
  number = {4},
  pages = {102-110},
  doi = {10.11648/j.ijfmts.20190504.13},
  url = {https://doi.org/10.11648/j.ijfmts.20190504.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20190504.13},
  abstract = {MHD mixed convection flow in a lid driven enclosure with a sinusoidal wavy wall and heated circular body located at the center of the enclosure is studied numerically using finite element analysis. The upper wall is moving with a uniform velocity by unity, and other walls are in no slip condition. The enclosure vertical walls are insulated while the heated circular body inside the enclosure is maintained at a uniform temperature higher than the upper wall and lower wavy surface. Calculations are carried out through solving governing equations for different parameters by using finite element method. The investigation is conducted for various values of Richardson number Ri and Prandtl number Pr. The heat transfer characteristics and flow pattern inside the enclosure are presented in the form of streamlines and isothermal contours. Heat transfer rate in terms of the average Nusselt number and average fluid temperature inside the enclosure are presented for different parameters. The results indicate that the average Nusselt number at the heated surface and average temperature of the fluid inside the enclosure are strongly dependent on the configuration of the system under different geometrical and physical conditions.},
 year = {2019}
}

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TY  - JOUR
T1  - MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body
AU  - Kakali Chowdhury
AU  - Abdul Alim
Y1  - 2019/11/06
PY  - 2019
N1  - https://doi.org/10.11648/j.ijfmts.20190504.13
DO  - 10.11648/j.ijfmts.20190504.13
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 102
EP  - 110
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20190504.13
AB  - MHD mixed convection flow in a lid driven enclosure with a sinusoidal wavy wall and heated circular body located at the center of the enclosure is studied numerically using finite element analysis. The upper wall is moving with a uniform velocity by unity, and other walls are in no slip condition. The enclosure vertical walls are insulated while the heated circular body inside the enclosure is maintained at a uniform temperature higher than the upper wall and lower wavy surface. Calculations are carried out through solving governing equations for different parameters by using finite element method. The investigation is conducted for various values of Richardson number Ri and Prandtl number Pr. The heat transfer characteristics and flow pattern inside the enclosure are presented in the form of streamlines and isothermal contours. Heat transfer rate in terms of the average Nusselt number and average fluid temperature inside the enclosure are presented for different parameters. The results indicate that the average Nusselt number at the heated surface and average temperature of the fluid inside the enclosure are strongly dependent on the configuration of the system under different geometrical and physical conditions.
VL  - 5
IS  - 4
ER  -

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Author Information

Kakali Chowdhury

Department of Electrical & Computer Engineering, Presidency University, Dhaka, Bangladesh
Abdul Alim

Department of Mathematics, Bangladesh University of Engineering & Technology, Dhaka, Bangladesh

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APA Style

Kakali Chowdhury, Abdul Alim. (2019). MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body. International Journal of Fluid Mechanics & Thermal Sciences, 5(4), 102-110. https://doi.org/10.11648/j.ijfmts.20190504.13

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ACS Style

Kakali Chowdhury; Abdul Alim. MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body. Int. J. Fluid Mech. Therm. Sci. 2019, 5(4), 102-110. doi: 10.11648/j.ijfmts.20190504.13

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AMA Style

Kakali Chowdhury, Abdul Alim. MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body. Int J Fluid Mech Therm Sci. 2019;5(4):102-110. doi: 10.11648/j.ijfmts.20190504.13

Copy | Download

@article{10.11648/j.ijfmts.20190504.13,
  author = {Kakali Chowdhury and Abdul Alim},
  title = {MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {5},
  number = {4},
  pages = {102-110},
  doi = {10.11648/j.ijfmts.20190504.13},
  url = {https://doi.org/10.11648/j.ijfmts.20190504.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20190504.13},
  abstract = {MHD mixed convection flow in a lid driven enclosure with a sinusoidal wavy wall and heated circular body located at the center of the enclosure is studied numerically using finite element analysis. The upper wall is moving with a uniform velocity by unity, and other walls are in no slip condition. The enclosure vertical walls are insulated while the heated circular body inside the enclosure is maintained at a uniform temperature higher than the upper wall and lower wavy surface. Calculations are carried out through solving governing equations for different parameters by using finite element method. The investigation is conducted for various values of Richardson number Ri and Prandtl number Pr. The heat transfer characteristics and flow pattern inside the enclosure are presented in the form of streamlines and isothermal contours. Heat transfer rate in terms of the average Nusselt number and average fluid temperature inside the enclosure are presented for different parameters. The results indicate that the average Nusselt number at the heated surface and average temperature of the fluid inside the enclosure are strongly dependent on the configuration of the system under different geometrical and physical conditions.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - MHD Mixed Convection Flow in a Lid Driven Enclosure with a Sinusoidal Wavy Wall and a Heated Circular Body
AU  - Kakali Chowdhury
AU  - Abdul Alim
Y1  - 2019/11/06
PY  - 2019
N1  - https://doi.org/10.11648/j.ijfmts.20190504.13
DO  - 10.11648/j.ijfmts.20190504.13
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 102
EP  - 110
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20190504.13
AB  - MHD mixed convection flow in a lid driven enclosure with a sinusoidal wavy wall and heated circular body located at the center of the enclosure is studied numerically using finite element analysis. The upper wall is moving with a uniform velocity by unity, and other walls are in no slip condition. The enclosure vertical walls are insulated while the heated circular body inside the enclosure is maintained at a uniform temperature higher than the upper wall and lower wavy surface. Calculations are carried out through solving governing equations for different parameters by using finite element method. The investigation is conducted for various values of Richardson number Ri and Prandtl number Pr. The heat transfer characteristics and flow pattern inside the enclosure are presented in the form of streamlines and isothermal contours. Heat transfer rate in terms of the average Nusselt number and average fluid temperature inside the enclosure are presented for different parameters. The results indicate that the average Nusselt number at the heated surface and average temperature of the fluid inside the enclosure are strongly dependent on the configuration of the system under different geometrical and physical conditions.
VL  - 5
IS  - 4
ER  -

Copy | Download