Journal of the Korean Society for Industrial and Applied Mathematics

  • 제22권4호
  • /
  • Pages.241-251
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  • 2018
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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EFFECT OF HEAT ABSORPTION ON UNSTEADY MHD FLOW PAST AN OSCILLATING VERTICAL PLATE WITH VARIABLE WALL TEMPERATURE AND MASS DIFFUSION IN THE PRESENCE OF HALL CURRENT

  • RAJPUT, US (DEPARTMENT OF MATHEMATICS AND ASTRONOMY, UNIVERSITY OF LUCKNOW) ;
  • KANAUJIA, NEETU (DEPARTMENT OF MATHEMATICS AND ASTRONOMY, UNIVERSITY OF LUCKNOW)
  • 투고 : 2018.02.23
  • 심사 : 2018.12.11
  • 발행 : 2018.12.25
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초록

The present study is carried out to examine the combined effect of heat absorption on flow model. The model consists of unsteady flow of a viscous, incompressible and electrically conducting fluid. The flow is along an impulsively started oscillating vertical plate with variable mass diffusion. The magnetic field is applied perpendicular to the plate. The fluid model under consideration has been solved by Laplace transform technique. The numerical data obtained is discussed with the help of graphs and table. The numerical values obtained for skin-friction have been tabulated. To shorten the lengthy equations in the solution some symbols have been assumed, which are mentioned in appendix. The appendix is included in the article as the last section of the manuscript.

키워드

E1TAAE_2018_v22n4_241_f0001.png 이미지

FIGURE 1

E1TAAE_2018_v22n4_241_f0002.png 이미지

FIGURE 3. u vs y for different values of Ω

E1TAAE_2018_v22n4_241_f0003.png 이미지

FIGURE 4. u vs y for different values of H

E1TAAE_2018_v22n4_241_f0004.png 이미지

FIGURE 5. u vs y for different values of ωt

E1TAAE_2018_v22n4_241_f0005.png 이미지

FIGURE 6. w vs y for different values of α

E1TAAE_2018_v22n4_241_f0006.png 이미지

FIGURE 7. w vs y for different values of Ω

E1TAAE_2018_v22n4_241_f0007.png 이미지

FIGURE 8. w vs y for different values of H

E1TAAE_2018_v22n4_241_f0008.png 이미지

FIGURE 9. w vs y for different values of ωt

FIGURE 2. u vs y for different values of α

E1TAAE_2018_v22n4_241_t0001.png 이미지

TABLE 1. Skin friction

E1TAAE_2018_v22n4_241_t0002.png 이미지

참고문헌

  1. A. J. Chamkha, A. A. Mudhaf Unsteady heat and mass transfer from a rotating vertical cone with a magnetic field and heat generation or absorption effects, International Journal of Thermal Sciences, International Journal of Thermal Sciences, 44 (2005), 267-276. https://doi.org/10.1016/j.ijthermalsci.2004.06.005
  2. M. A. Seddek, Finite-element method for the effects of chemical reaction, variable viscosity, thermophoresis and heat generation/absorption on a boundary-layer hydro magnetic flow with heat and mass transfer over a heat surface, Acta Mech, 177 (2005), 1-18. https://doi.org/10.1007/s00707-005-0249-8
  3. K. Manivannan, R. Muthucumarswamy, V. Thangaraj, Radiaton and chemical reaction effects on isothermal vertical oscillating plate with variable mass diffusion, International Journal of Applied Science and Engineering, Thermal science, 13(2), (2009).
  4. B. P. Garg, Magnetohydrodynamics and radiation effects on the flow due to moving vertical porous plate with variable temperature, Proc. Nat. Acad. Sci., 83(4), (2013), 327-331.
  5. G. S. Seth, R. Sharma and S. M. Hussain, Hall effects on unsteady MHD natural convection flow of a heat absorbing fluid past an accelerated moving vertical plate with ramped temperature, Emirates Journal for Engineering Research, 19 (2),(2014), 19-32.
  6. M. A. Samad, M. D. Hossain and M. M. Alam, MHD free convection and mass transfer flow through a vertical oscillatory porous plate with Hall, ion-slip currents and heat source in a rotating system, Procedia Engineering 105, (2015), 56-63. https://doi.org/10.1016/j.proeng.2015.05.006
  7. M. G. Reddy, P. Padma and B. Shankar Effects of viscous dissipation and heat source on unsteady MHD flow over a stretching sheet, Ain Shams Engineering Journal 6,(2015), 1195-1201. https://doi.org/10.1016/j.asej.2015.04.006
  8. S. A. Shehzad,T. Hayat ,and A. Alsaedi, Three-dimensional MHD flow of Casson fluid in porous medium with heat generation, Journal of Applied Fluid Mechanics, 9(1), (2016), 215-223. https://doi.org/10.18869/acadpub.jafm.68.224.24042
  9. U. S. Rajput and N. Kanaujia, MHD flow past a vertical plate with variable temperature and mass diffusion in the presence of Hall current, International Journal of Applied Science and Engineering, 14(2), (2016), 115-123. https://doi.org/10.5937/jaes14-10473