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Effects of thermal radiation on Casson flow heat and mass transfer around a circular cylinder in porous medium

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Abstract

This paper deals with a theoretical investigation of flow and heat transfer of a Casson fluid from a horizontal circular cylinder in a non-Darcy porous medium under the action of slips and thermal radiation parameters. A model of Casson fluid flow for a circular cylinder has been developed to simulate the transport phenomena. The numerical solution has been obtained for the dimensionless velocity and temperature of the Casson fluid. The effects of various important parameters on the dimensionless velocity, temperature as well as on the skin friction and the dimensionless heat transfer rates are investigated and presented graphically. A comparison with previous published data has been done and we found a good agreement with them.

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References

  1. B.P. Jadhav, B.B. Waghmode, Waerme- Stoffuebertrag. 25, 377 (1990).

    Article  ADS  Google Scholar 

  2. H.I. Anderrson, J.B. Aaresth, N. Braud, B.S. Dandapat, J. Non-Newtonain Fluid Mech. 62, 1 (1996).

    Article  Google Scholar 

  3. I.A. Hassanien, A.A. Abdullah, R.S.R. Gorla, Comput. Model. 28, 105 (1998).

    Article  MATH  MathSciNet  Google Scholar 

  4. B.S. Dandapat, A.S. Gupta, J. Non-Linear Mech. 24, 215 (1989).

    Article  MATH  Google Scholar 

  5. K. Vajravelu, D. Rollins, J. Math. Anal. Appl. 158, 241 (1991).

    Article  MATH  MathSciNet  Google Scholar 

  6. S. Syrjälä, Int. Commun. Heat Mass Transfer 25, 191 (1998).

    Article  Google Scholar 

  7. F. Mabood, W.A. Khan, A.I.M. Ismail, PLoS ONE 8, e83581 (2013) DOI:10.1371/journal.pone.0083581.

    Article  ADS  Google Scholar 

  8. K. Walters, Quart. J. Mech. Appl. Math. 15, 63 (1962).

    Article  MATH  MathSciNet  Google Scholar 

  9. S.G. Mohiddin, V.R. Prasad, S.V.K. Varma, O.A. Bég, Int. J. Appl. Math. Mech. 6, 88 (2010).

    Google Scholar 

  10. T. Hayat, Z. Iqbal, M. Sajid, K. Vajravelu, Int. Commun. Heat Mass Transfer 35, 1297 (2008).

    Article  Google Scholar 

  11. A. Iahak, R. Nazar, I. Pop, Can. J. Phys. 84, 399 (2006).

    Article  ADS  Google Scholar 

  12. M.M. Rahman, M.A. Rahman, M.A. Samad, M.S. Alam, Int. J. Thermophys. 30, 1649 (2009).

    Article  ADS  Google Scholar 

  13. R.R. Huilgol, Z. You, J. Non-Newtonian Fluid Mech. 128, 126 (2005).

    Article  MATH  Google Scholar 

  14. M.M. Rashidi, M.T. Rastegari, M. Asadi, O.A. Bég, Chem. Eng. Commun. 199, 231 (2012).

    Article  Google Scholar 

  15. M.H. Abolbashari, N. Freidoonimehr, F. Nazari, M.M. Rashidi, Adv. Powder Technol. 26, 542 (2015).

    Article  Google Scholar 

  16. M. Keimanesh, M.M. Rashidi, A.J. Chamkha, R. Jafari, Comput. Math. Appl. 62, 2871 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  17. S. Shateyi, Bound. Value Probl. 2013, 196 (2013) DOI:10.1186/1687-2770-2013-196.

    Article  MathSciNet  Google Scholar 

  18. S. Shateyi, G.T. Marewo, Math. Probl. Eng. 2013, 670205 (2013) DOI:10.1155/2013/670205.

    MathSciNet  Google Scholar 

  19. J.H. Markin, Int. J. Heat Mass Transfer 18, 237 (1975).

    Article  ADS  Google Scholar 

  20. M.J. Huang, C.K. Chen, J. Chin. Inst. Eng. 6, 209 (1983).

    Article  Google Scholar 

  21. W.A. Khan, I. Pop, J. Porous Media 16, 637 (2013).

    Article  Google Scholar 

  22. E.M. Sparrow, L. Lee, Int. J. Heat Mass Transfer 19, 229 (1976).

    Article  ADS  Google Scholar 

  23. J.H. Merkin, Int. J. Heat Mass Transfer 22, 1461 (1979).

    Article  ADS  Google Scholar 

  24. J.H. Merkin, I. Pop, Acta Mech. 70, 235 (1987).

    Article  MATH  Google Scholar 

  25. A. Yücel, Int. Commun. Heat Mass Transfer 33, 2265 (1990).

    Article  Google Scholar 

  26. K.A. Yih, Int. Commun. Heat Mass Transfer 26, 431 (1999).

    Article  Google Scholar 

  27. I. Pop, M. Kumari, G. Nath, Int. J. Eng. Sci. 30, 35 (1992).

    Article  MATH  Google Scholar 

  28. C.Y. Cheng, J. Mech. 22, 257 (2006).

    Article  Google Scholar 

  29. C.Y. Cheng, Int. Commun. Heat Mass Transfer 34, 613 (2007).

    Article  Google Scholar 

  30. M.A. Hossain, M.A. Alim, Heat Mass Transfer 32, 515 (1997).

    Article  ADS  Google Scholar 

  31. M.A. Hossain, M. Kutubuddin, I. Pop, Int. J. Heat Mass Transfer 35, 307 (1999).

    Article  ADS  Google Scholar 

  32. V.R. Prasad, A.S. Rao, O.A. Bég, Theor. Appl. Mech. 41, 37 (2014).

    Article  ADS  Google Scholar 

  33. G.W.S. Blair, Nature 183, 613 (1959).

    Article  ADS  Google Scholar 

  34. A.L. Copley, Apparent Viscosity and Wall Adherence of Blood Systems, in Flow Properties of Blood and Other Biological Systems, edited by A.L. Copley, G. Stainsly (Pergamon Press, Oxford, UK, 1960).

  35. N. Casson Rheology of disperse systems, in Flow Equation for Pigment Oil Suspensions of the Printing Ink Type. Rheology of Disperse Systems, edited by C.C. Mill (Pergamon Press, London, UK, 1959) pp. 84--102.

    Article  Google Scholar 

  36. M. Mustafa, T. Hayat, I. Pop, A. Aziz, Heat Transfer-Asian Res. 40, 563 (2011).

    Article  Google Scholar 

  37. K. Bhattacharyya, J. Thermodyn. 2013, 169674 (2013).

    Article  Google Scholar 

  38. S. Mukhopadhyay, K. Bhattacharyya, T. Hayat, Chin. Phys. B 22, 114701 (2013).

    Article  Google Scholar 

  39. S. Pramanik, Ain Shams Eng. J. 5, 205 (2014).

    Article  Google Scholar 

  40. M. Sheikholeslami, R. Ellahi, Appl. Sci. 5, 294 (2015) DOI:10.3390/app5030294.

    Article  Google Scholar 

  41. M. Sheikholeslami, M.M. Rashidi, Dhafer M. Al Saad, F. Firouzi, Houman B. Rokni, G. Domairry, J. King Saud University - Sci. (2015) DOI:10.1016/j.jksus.2015.06.003.

  42. M. Sheikholeslami, M.M. Rashidi, D.D. Ganji, Comput. Methods Appl. Mech. Eng. 294, 299 (2015).

    Article  MathSciNet  ADS  Google Scholar 

  43. M. Sheikholeslami, M.M. Rashidi, Eur. Phys. J. Plus 130, 115 (2015).

    Article  Google Scholar 

  44. A. Malvandia, M.H. Kaffasha, D.D. Ganji, J. Taiwan Inst. Chem. Eng. 52, 46 (2015).

    Google Scholar 

  45. S. Qi, T. Furusawa, S. Yamamoto, Int. J. Heat Mass Transfer 85, 375 (2015).

    Article  Google Scholar 

  46. M. Sheikholeslami, M.M. Rashidi, J. Taiwan Inst. Chem. Eng. (2015) DOI:10.1016/j.jtice.2015.03.035.

  47. A. Malvandi, D.D. Ganji, Physica E 66, 181 (2015).

    Article  ADS  Google Scholar 

  48. M. Sheikholeslami, R. Ellahi, Int. J. Heat Mass Transfer 89, 799 (2015).

    Article  Google Scholar 

  49. J.D. Faires, R.L. Burden, Numerical Methods, fourth edition (Cengage Learning, 2012).

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Mabood, F., Shateyi, S. & Khan, W.A. Effects of thermal radiation on Casson flow heat and mass transfer around a circular cylinder in porous medium. Eur. Phys. J. Plus 130, 188 (2015). https://doi.org/10.1140/epjp/i2015-15188-y

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  • DOI: https://doi.org/10.1140/epjp/i2015-15188-y

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