Heat and Mass Transfer in Porous Cavity: Opposing Flow

Table of contents

1. I. Introduction

ecent development in the field of heat and mass transfer through porous medium has led to the intensive research, as a result of that, many researchers have shown significant interest to explore the various aspects during the last few decades. The fundamental concept about the flow through porous medium and various applications encompassing it has been well documented by the recently published books by Nield and Bejan [1], Ingham and Pop [2], Vafai [3], Pop and Ingham [4] and, Bejan and Kraus [5]. The various aspects of the convective heat transfer pertaining to the various physical and geometrical parameters, is thoroughly discussed in the available literature . Especially the double diffusion phenomenon, which finds various industrial and technological applications such as; drying of vegetables, drying of seeds, migration of pollutants through soil, cooling of nuclear reactor and many more, has made eminent researchers to delved in to this particular area, to understand the micro details of the subject. It is evident from the literature that the specific geometries such as cavities find special applications in industries, therefore the research pertaining to the flow through porous cavities is of significant importance which is reflected in the literature [31][32][33][34][35]. The present work is an extension of [24] where only assisting flow was analyzed. The current work tries to understand the double diffusion due to opposing flow.

The mathematical model of square porous cavity and its relevant equations are given in [24]. It should be noted that the current work focusses only on opposing flow caused by negative value of buoyancy ratio where thermal and concentration buoyancy opposes each other.

2. II.

3. Results and Discussion

The results are discussed with respect to isotherms and iso-concentration lines in the porous medium. Figure 1 shows the heat and mass transfer behavior in terms of temperature, concentration and streamlines. The left column of figure corresponds to N=-0.2 where as right column belongs to N=-0.5. The whole figure is obtained by maintaining Ra=100, Rd=0.5 and Le=5. It is found that the isotherms move towards the hot surface due to change in N from -0.2 to -0.5. This indicates that as the magnitude of two buoyancy forces increases the heat transfer rate increases. Similar effect is seen with respect to mass transfer also. The concentration lines moves towards the hot surface when magnitude of opposing buoyancy increases. The penetration of higher concentration deep into porous region increased due to change in N from -0.2 to -0.5.

4. III. Conclusion

Heat and mass transfer in a square porous cavity due to opposing buoyancy is studied. It is found that the heat transfer increases with increase in magnitude of opposing buoyancy forces.

Figure 1.
radiation on double conjugate diffusion in a porous
cavity, AIP Conference Proceedings 1728, 020283
(2016); doi: 10.1063/1.4946334.
28. Irfan Anjum Badruddin, N. J. Salman Ahmed,
Abdullah A. A. A. Al-Rashed, Jeevan Kanesan,
Sarfaraz Kamangar, H. M. T. Khaleed, Analysis of
Heat and Mass Transfer in a Vertical Annular Porous
Cylinder Using FEM, Transp. Porous Media, 91(2),
697-715(2012).
29. Trevisan, Osvair and Adrian Bejan, Combined heat
and mass transfer by natural convection in a porous
medium, Advances in Heat Transfer 20
315-352 (1990). 30. G.H.R. Kefayati, Simulation of double diffusive natural convection and entropy generation of power-law fluids in an inclined porous cavity with Soret and Year 2017
Dufour effects (Part I: Study of fluid flow, heat and
mass transfer). Int. J. Heat Mass Transfer, Volume
94, March, Pages 539-581 (2016). 31. Soto-Meca, J. Serna, F.J.Velasco. Heat and mass transfer enhancement in a double diffusive mixed convection lid cavity under pulsating flow. Comp. & Chem. Engg. Jul 30 (2016). 32. R. Rebhi, M. Mamou, P. Vasseur, M.Alliche, Form drag effect on the onset of non-linear convection and Hopf bifurcation in binary fluid saturating a tall porous cavity. Int. J. Heat Mass Transfer. Sep 30; 100: 178-90 (2016). 33. C.S. Balla, K. Naikoti, Soret and Dufour effects on free convective heat and solute transfer in fluid saturated inclined porous cavity. Engg. Sci. Tech., Int. J. Dec 31; 18(4): 543-54 (2015). 34. K. Al-Farhany, A. Turan, Numerical study of double diffusive natural convective heat and mass transfer in an inclined rectangular cavity filled with porous medium. Int. commun. Heat Mass Transfer, Feb 29; 39(2): 174-81 (2012). 35. Serrano-Arellano J, Gijon-Rivera M. Conjugate heat and mass transfer by natural convection in a square cavity filled with a mixture of Air-CO 2. Int. J. Heat Mass Transfer, Mar 31; 70: 103-13 (2014). Global Journal of Researches in Engineering ( ) Volume XVII Issue IV Version I A Global Journal of Researches in Engineering
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Appendix A

  1. , 10.1063/1.4952363. http://dx.doi.org/10.1063/1.4952363
  2. , 10.1063/1.4952361. http://dx.doi.org/10.1063/1.4952361
  3. , 10.1063/1.4952360. http://dx.doi.org/10.1063/1.4952360
  4. Heat transfer handbook, A.D. Bejan, Kraus (ed.) 2003. New York: Wiley.
  5. Transport phenomena in porous media, D B Ingham, I Pop (ed.) (Pergamon, Oxford
    ) 1998.
  6. Convective heat transfer: Mathematical and computational modeling of viscous fluids and porous media, D B Pop , Ingham . 2001. Pergamon, Oxford.
  7. D Nield , A Bejan . Convection in Porous Media, (New York
    ) 2006. Springer Verlag. (3rd)
  8. Radiation and viscous dissipation effect on square porous annulus. G A Irfan Anjum Badruddin , Quadir . AIP Conf. Proc 2016. 1738 p. 480127.
  9. Heat transfer in porous medium embedded with vertical plate: Non-equilibrium approach -Part A. G A Irfan Anjum Badruddin , Quadir . AIP Conf. Proc 2016. 1738 p. 480124.
  10. G A Irfan Anjum Badruddin , Quadir . 10.1063/1.4952362. http://dx.doi.org/10.1063/1.4952362 Heat and mass transfer in porous cavity: Assisting flow, AIP Conf. Proc, 2016. 1738 p. 480126.
  11. Heat transfer in porous medium embedded with vertical plate: Non-equilibrium approach -Part B. G A Quadir , Irfan Anjum Badruddin . AIP Conf. Proc 2016. 1738 p. 480125.
  12. Free convection and radiation for a vertical wall with varying temperature embedded in a porous medium. I A Badruddin , Z A Zainal , P A Narayana , K N Seetharamu , L W Siew . Int. J. Therm. Sci 2006. 45 (5) p. .
  13. Heat transfer by radiation and natural convection through a vertical annulus embedded in porous medium. I A Badruddin , Z A Zainal , P A Narayana , K N Seetharamu . Int. Commun. Heat Mass Transfer 2006. 33 (4) p. .
  14. Thermal non-equilibrium modeling of heat transfer through vertical annulus embedded with porous medium. I A Badruddin , Z Zainal , P A Narayana , K N Seetharamu . Int. J. Heat Mass Transfer 2006. 49 p. .
  15. Heat transfer in porous cavity under the influence of radiation and viscous dissipation. I A Badruddin , Z A Zainal , P A Narayana , K N Seetharamu . Int. commun. Heat Mass Transfer 2006. 33 (4) p. .
  16. Effect of viscous dissipation and radiation on natural convection in a porous medium embedded within vertical annulus. I A Badruddin , Z A Zainal , Z Khan , Z Mallick . Int. J. Therm. Sci 2007. 46 (3) p. .
  17. Numerical analysis of convection conduction and radiation using a non-equilibrium model in a square porous cavity. I A Badruddin , Z A Zainal , P A Narayana , K N Seetharamu . Int. J. Therm. Sci 2007. 46 (1) p. .
  18. Investigation of heat transfer in square porous-annulus. I A Badruddin , A A A A Abdullah , N J S Ahmed , S Kamangar . Int. J Heat Mass Transfer 2012. 55 (7-8) p. .
  19. Natural convection in a square porous annulus. I A Badruddin , A A A A Al-Rashed , N J S Ahmed , S Kamangar , K Jeevan . Int. J. Heat Mass Transfer 2012. 55 (23-24) p. .
  20. Conjugate Heat Transfer in an Annulus with Porous Medium Fixed Between Solids. I A Badruddin , N J Ahmed , N Al-Rashed , Nik-Ghazali , S Jameel , H M T Kamangar , T M Khaleed , Khan . Transp. Porous media 2015. 109 (3) p. .
  21. I A Badruddin , T M Yunus Khan , Salman Ahmed , N J Sarfaraz Kamangar . 10.1063/1.4946740. Effect of variable heating on double diffusive flow in a square porous cavity, 2016. 1728 p. 20689.
  22. Conjugate heat transfer in porous annulus. Khan . J. Porous Media 2014. 19 (12) p. .
  23. Hand book of porous media, K Vafai . 2000. New York: Marcel Dekker.
  24. Heat transfer in a conical cylinder with porous medium. N J S Ahmed , I A Badruddin , Z A Zainal , H M T Khaleed , J Kanesan . Int. J. Heat Mass Transfer 2009. 52 p. .
  25. Study of mixed convection in an annular vertical cylinder filled with saturated porous medium, using thermal non-equilibrium model. N J S Ahmed , I A Badruddin , J Kanesan , Z A Zainal , K S N Ahamed . Int. J. Heat Mass Transfer 2011. 54 p. .
  26. Dufour and Soret Effects on Square Porous Annulus. N Nik-Ghazali , Irfan Anjum Badruddin , A Badarudin , S Tabatabaeikia . Adv. Mech. Engg January-December, 6. 2014. p. 209753.
  27. T M Azeem , I A Khan , N Badruddin , Nik-Ghazali . Mohd Yamani Idna Idris, (Influence of)
  28. Entropy generation of viscous dissipative nanofluid flow in thermal nonequilibrium porous media embedded in microchannels. T W Ting , Y M Hung , N Guo . Int. J. Heat Mass Transfer 2015. 81 p. .
  29. Free convection and radiation characteristics for a vertical plate embedded in a porous medium. Z A Irfan Anjum Badruddin1 , P A Zainal , K N Narayana , Seetharamu , Lam Weng , Siew . Int. J for Num. Methd. in Engg 2006. 65 (13) p. .
  30. Free convection and radiation characteristics for a vertical plate embedded in a porous medium. Z A Irfan Anjum Badruddin1 , P A Zainal , K N Narayana , Seetharamu , Lam Weng , Siew . Int. J for Numerical Methods in Engineering 2006. 65 (13) p. .
Notes
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Date: 2017-01-15