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Computational analysis of plane and parabolic flow of MHD Carreau fluid with buoyancy and exponential heat source effects

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Abstract.

This paper presents the two-dimensional magnetohydrodynamic Carreau fluid flow over a plane and parabolic regions in the form of buoyancy and exponential heat source effects. Soret and Dufour effects are used to examine the heat and mass transfer process. The system of ODE's is obtained by utilizing similarity transformations. The RK-based shooting process is employed to generate the numerical solutions. The impact of different parameters of interest on fluid flow, concentration and thermal fields is characterized graphically. Tabular results are presented to discuss the wall friction, reduced Nusselt and Sherwood numbers. It is seen that the flow, thermal and concentration boundary layers of the plane and parabolic flows of Carreau fluid are non-uniform.

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References

  1. S.R. Vempati, A.B. Laxmi-narayana-gari, J. Appl. Math. Mech. 31, 1481 (2010)

    Article  Google Scholar 

  2. L.J. Crane, J. Appl. Math. Phys. 21, 645 (1970)

    Article  Google Scholar 

  3. G. Srinivasa Rao, B. Ramana, B. Rami Reddy, G. Vidyasagar, Int. J. Emerg. Trends Eng. Dev. 4, 215 (2014)

    Google Scholar 

  4. R. Kandasamy, K. Periasamy, K.K.S. Prabhu, Int. J. Heat Mass Transfer 48, 4751 (2005)

    Google Scholar 

  5. T. Hayat, M. Mustafa, I. Pop, Commun. Nonlinear Sci. Numer. Simulat. 15, 1183 (2009)

    Article  ADS  Google Scholar 

  6. S.N. Gaikwad, M.S. Malashetty, K.R. Prasad, Int. J. Nonlinear Mech. 42, 903 (2007)

    Article  ADS  Google Scholar 

  7. V. Ambethkar, J. Nav. Arch. Marine Eng. 5, 27 (2008)

    Google Scholar 

  8. E. Osalusi, J. Side, R. Harris, Int. Commun. Heat Mass Transfer 35, 908 (2008)

    Article  Google Scholar 

  9. C.R.A. Abreu, M.F. Alfradique, A.S. Telles, Chem. Eng. Sci. 61, 4282 (2006)

    Article  Google Scholar 

  10. A. Postelnicu, Int. J. Heat Mass Transfer 47, 1467 (2004)

    Article  Google Scholar 

  11. K. Srihari, S.R. Reddy, J.A. Rao, Int. J. Appl. Math. Anal. Appl. 1, 239 (2006)

    MathSciNet  Google Scholar 

  12. P. Mohan Krishna, G. Vidyasagar, N. Sandeep, V. Sugunamma, Int. J. Sci. Eng. Res. 6, 143 (2015)

    Google Scholar 

  13. C.S.K. Raju, M. Jayachandra Babu, N. Sandeep, V. Sugunamma, J.V. Ramana Reddy, Chem. Process. Eng. Res. 30, 9 (2015)

    Google Scholar 

  14. G. Kafoussias, E.M. Williams, Int. J. Eng. Sci. 33, 1369 (1995)

    Article  Google Scholar 

  15. M. Anghel, H.S. Takhar, I. Pop, Stud. Univ. Babes-Bolyai Math. XLV, 11 (2000)

    Google Scholar 

  16. C.S.K. Raju, N. Sandeep, Eur. Phys. J. Plus 131, 267 (2016)

    Article  Google Scholar 

  17. S. Ushaand, A. Ramachandra Rao, ASME J. Biomech. Eng. 104, 182 (1997)

    Google Scholar 

  18. J.C. Misra, S.K. Pandey, Int. J. Eng. Sci. 39, 387 (2001)

    Article  Google Scholar 

  19. A. Ramachandra Rao, S. Usha, J. Fluid Mech. 298, 271 (1995)

    Article  ADS  Google Scholar 

  20. K. Vajravelu, S. Sreenadh, R. Hemadri Reddy, K. Murugeshan, Int. J. Fluid Mech. Res. 36, 244 (2009)

    Article  Google Scholar 

  21. K. Narahari, S. Sreenadh, Int. J. Appl. Math. Mech. 6, 41 (2010)

    Google Scholar 

  22. I.L. Animasaun, N. Sandeep, Powder Technol. 301, 858 (2016)

    Article  Google Scholar 

  23. M.E. Ali, N. Sandeep, Results Phys. 7, 21 (2017)

    Article  ADS  Google Scholar 

  24. N. Sandeep, A. Malvandi, Adv. Powder Technol. 27, 2448 (2016)

    Article  Google Scholar 

  25. N. Sandeep, O.K. Koriko, I.L. Animasaun, J. Mol. Liq. 221, 1197 (2016)

    Article  Google Scholar 

  26. N. Sandeep, C. Sulochana, I.L. Animasaun, Int. J. Eng. Res. Africa 20, 93 (2016)

    Article  Google Scholar 

  27. M. Jayachandra Babu, N. Sandeep, Int. J. Eng. Res. Africa 25, 58 (2016)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Humanities and Sciences, Sri Venkateswara College of Engineering and Technology, 517 127, Chittoor, India

    P. Mohan Krishna

  2. Department of Mathematics, VIT University, 632014, Vellore, India

    N. Sandeep

  3. Department of Mathematics, JECRC University, Jaipur, 303905, Rajastan, India

    Ram Prakash Sharma

Authors
  1. P. Mohan Krishna
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  2. N. Sandeep
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  3. Ram Prakash Sharma
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Correspondence to Ram Prakash Sharma.

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Krishna, P.M., Sandeep, N. & Sharma, R.P. Computational analysis of plane and parabolic flow of MHD Carreau fluid with buoyancy and exponential heat source effects. Eur. Phys. J. Plus 132, 202 (2017). https://doi.org/10.1140/epjp/i2017-11469-9

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  • DOI: https://doi.org/10.1140/epjp/i2017-11469-9

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