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Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles

Year 2015, Volume: 1 Issue: 3, 221 - 235, 01.03.2015
https://doi.org/10.18186/jte.66113

Abstract

A numerical study is presented for mixed convection flow of air (Pr=0.71) within a parallel motion two sided lid-driven parallelogrammic cavity in the presence of magnetic field. The left and right lid-driven sidewalls of the parallelogrammic cavity are maintained at isothermal hot and cold temperatures respectively and slide from bottom to top in upward parallel direction with a uniform lid-driven velocity. A magnetic field of strength (Box) is subjected in the horizontal direction. The horizontal walls of the cavity are considered thermally insulated. The finite volume method has been used to solve the governing Navier–Stokes and energy conservation equations of the fluid medium in the parallelogrammiccavity in order to investigate the effect of magnetic field on the flow and heat transfer for various values of Richardson number, skew angleand Hartmann number. The values of the governing parameters are the Hartmann number (0 ≤ Ha ≤ 75), Richardson number (0.01≤ Ri ≤100) and skew angle (- 60° ≤ Φ ≤ 60°). The present numerical approach is found to beconsistent andthe results is presented in terms ofstreamlines and isotherm contours in addition with the averageNusselt number. It is found that as the Hartmann number increases the circulation of the rotating vortices is reduced and the conduction mode of heat transfer is dominant. Also, it is found that both Richardson number and direction of two sided lid-driven sidewalls affect the heat transfer and fluid flow in the parallelogrammic cavity

References

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  • Colella, P. and Puckett, E. Modern numerical methods for fluid flow, University of California, 1994.
  • Patnkar, S. Numerical heat transfer and fluid flow, Hemisphere, New York, 1980. cavity, of Heat and Mass of Heat and Mass applied to the

Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles

Year 2015, Volume: 1 Issue: 3, 221 - 235, 01.03.2015
https://doi.org/10.18186/jte.66113

Abstract

References

  • Hayat, T. , Abbas, Z., Pop, I. and Asghar, S. Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium, International Journal of Heat and Mass Transfer, Vol. 53, 2010, pp : 466–474.
  • Barletta,A. , Lazzari, S., Magyari, E. and Pop,I. Mixed convection with heating effects in a vertical porous annulus with a radially varying magnetic field, International Journal of Heat
  • and Mass Transfer,Vol. 51, 2008, pp : 5777–5784.
  • Hasanpour,A. , Farhadi, M., Sedighi, K. and Ashorynejad, H. Lattice Boltzmann simulation for magnetohydrodynamic mixed convective flow in a porous medium, World Applied Science Journal, Vol. 11, No.9 , 2010, pp : 1124–1132. [4]
  • convection flow in a vertical lid-driven cavity with internal heat generation or absorption, Numerical Heat Transfer, Part A,Vol. 41, 2002, pp : 529-546.
  • Hossain, M., Hafizb, M. and Rees, D. Buoyancy and thermocapillary driven convection flow of an electrically conducting fluid in an enclosure with heat generation, International Journal of Thermal Sciences, Vol. 44, 2005, pp : 676–684.
  • Abdelkhalek, M. The skin friction in the MHD mixed convection stagnation point with mass transfer, International Communications in Heat and Mass Transfer, Vol. 33, 2006, pp : 249–258.
  • Rahman, M., Mamun, M., Saidur, R. and Nagata, S. Effect of a heat conducting horizontal circular cylinder on MHD mixed convection in a lid -driven
  • International Journal of Mechanical and Materials Engineering (IJMME), Vol. 4, No. 3, 2009, pp : 256-265.
  • Rahman, M., Alim, M. and Sarker, M. Numerical study on the conjugate effect of Joule heating
  • convection in an obstructed lid-driven square cavity, International Communications in Heat and Mass Transfer, Vol. 37, 2010, pp : 524–534.
  • Rahman, M., Saidur, R. and Rahim, N. Conjugated effect of Joule heating and magneto- hydrodynamic
  • convection in a horizontal channel with an open cavity, International Journal of Heat and Mass Transfer, Vol. 54, 2011, pp : 3201–3213.
  • Nasrin, R. Finite element simulation of hydromagnetic convective flow in an obstructed cavity, International Communications in Heat and Mass Transfer,Vol. 38, 2011, pp : 625–632.
  • Sivasankaran, S., Malleswaran , A., Lee, J. and Sundar, P. Hydro-magnetic combined convection in a lid-driven cavity with sinusoidal boundary conditions on both sidewalls, International Journal of Heat and Mass Transfer,Vol. 54, 2011, pp : 512– 525.
  • Nasrin, R. and Parvin, S. Hydromagnetic effect on mixed convection in a lid-driven cavity with sinusoidal corrugated bottom surface, International Communications in Heat and Mass Transfer,Vol. 38, 2011, pp : 781–789. [17]
  • magnetoconvection in a wavy enclosure with the effect of heat conducting cylinder, International Communications in Heat and Mass Transfer. Article in press, 2011.
  • Rahman, M., Parvin, S., Saidur, R. and Rahim, N. Magnetohydrodynamic mixed convection in a horizontal channel
  • International Communications in Heat and Mass Transfer,Vol. 38, 2011, pp : 184–193.
  • Oztop, H., Al-Salem and Pop, I. MHD mixed convection in a lid-driven cavity with corner heater, International an
  • Transfer,Vol. 54, 2011, pp : 3494–3504.
  • Nasrin, R. 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,Vol. 7, 2011, pp : 13-24.
  • Kuhlmann, H., Wanschura, M. and Rath, H. Flow in two-sided lid-driven cavities: non- uniqueness, instabilities and cellular structures, Journal of Fluid Mechanics, Vol.336, 1997, pp: 267–299.
  • Wahba, E. Multiplicity of states for two-sided and four-sided lid driven cavity flows, Computers and Fluids, Vol. 38, 2009, pp: 247–253.
  • Perumal,D. and Dass, A. Simulation of incompressible flows in two-sided lid-driven square cavities : Part I - FDM, CFD Letters, Vol. 2, No.1, 2010, pp : 13-24.
  • Albensoeder,S., Kuhlmann,H. and Rath,H. Multiplicity of steady two-dimensional flows in two-sided lid-driven cavities, Theoretical and Computational Fluid Dynamics, Vol. 14, 2001, pp : 223–241.
  • Oztop, H. and Dagtekin, I. Mixed convection in two-sided lid-driven differentially heated square cavity, International Journal of Heat and Mass Transfer, Vol. 47, 2004, pp : 1761–1769.
  • Shah, P., Rovagnati, B., Mashayek, F. and Jacobs, G. Subsonic compressible flow in two-sided lid-driven cavity.Part I: Equal walls temperatures, International open
  • Transfer,Vol. 50, 2007, pp : 4206–4218.
  • Bairi, A., Zarco Pernia, E., Laraqi, N., Garcia De Maria, J., Gutierrez, F., Campo, A., Chanetz, B. and Oztop, H. Transient free convection in parallelogrammic
  • thermoregulation of avionics , International Journal of Engineering Systems Modelling and Simulation, Vol. 2, No.1-2,2010, pp : 58 - 64.
  • Sivakumar, V., Sivasankaran, S., Prakash, P. and Lee, J. Effect of heating location and size on mixed convection in lid-driven cavities, Computers and Mathematics with Applications ,Vol. 59, 2010, pp : 3053-3065.
  • Colella, P. and Puckett, E. Modern numerical methods for fluid flow, University of California, 1994.
  • Patnkar, S. Numerical heat transfer and fluid flow, Hemisphere, New York, 1980. cavity, of Heat and Mass of Heat and Mass applied to the
There are 34 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Ahmed Kadhim Hussein This is me

Salam Hadi Hussain This is me

Publication Date March 1, 2015
Submission Date May 14, 2015
Published in Issue Year 2015 Volume: 1 Issue: 3

Cite

APA Hussein, A. K., & Hussain, S. H. (2015). Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles. Journal of Thermal Engineering, 1(3), 221-235. https://doi.org/10.18186/jte.66113
AMA Hussein AK, Hussain SH. Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles. Journal of Thermal Engineering. March 2015;1(3):221-235. doi:10.18186/jte.66113
Chicago Hussein, Ahmed Kadhim, and Salam Hadi Hussain. “Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity With Various Skew Angles”. Journal of Thermal Engineering 1, no. 3 (March 2015): 221-35. https://doi.org/10.18186/jte.66113.
EndNote Hussein AK, Hussain SH (March 1, 2015) Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles. Journal of Thermal Engineering 1 3 221–235.
IEEE A. K. Hussein and S. H. Hussain, “Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles”, Journal of Thermal Engineering, vol. 1, no. 3, pp. 221–235, 2015, doi: 10.18186/jte.66113.
ISNAD Hussein, Ahmed Kadhim - Hussain, Salam Hadi. “Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity With Various Skew Angles”. Journal of Thermal Engineering 1/3 (March 2015), 221-235. https://doi.org/10.18186/jte.66113.
JAMA Hussein AK, Hussain SH. Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles. Journal of Thermal Engineering. 2015;1:221–235.
MLA Hussein, Ahmed Kadhim and Salam Hadi Hussain. “Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity With Various Skew Angles”. Journal of Thermal Engineering, vol. 1, no. 3, 2015, pp. 221-35, doi:10.18186/jte.66113.
Vancouver Hussein AK, Hussain SH. Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles. Journal of Thermal Engineering. 2015;1(3):221-35.

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