Skip to main content
Log in

On scattering of a material over the Ostwald-de Waele fluid bed

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

We formulated mathematically, the scattering and sliding of a material (colloid, oil, gasoline etc.) over the Ostwald-de Waele fluid. Ostwald-de Waele fluid model is used to get a boundary value problem (BVP). This BVP comprises coupled nonlinear partial differential equations (PDEs). These PDEs are further transformed into an ordinary differential equation (ODE) under the stream of similarity transform for the high Reynolds number flow assumption. The developed similarity solution is validated. The influence of fluid speed and drag is observed to be intensified in the vicinity of interface.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.W. Gooch, Encyclopedic Dictionary of Polymers (Springer, New York, 2011)

  2. O. Turan, A. Sachdeva, N. Chakraborty, R.J. Poole, J. Non-Newt. Fluid Mech. 166, 1049 (2011)

    Article  Google Scholar 

  3. S.K. Gosal, S. Datta, Introduction to Chemical Engineering (Tata McGraw-Hill Education, New Delhi, India, 2011)

  4. S.K. Jenaa, S.K. Mahapatrab, A. Sarkara, A.J. Chamkhac, J. Taiwan Inst. Chem. Engin. 51, 9 (2015)

    Article  Google Scholar 

  5. H.-O. Bae, Kang Kyungkeun J. Lee, J. Wolf, Nonlin. Differ. Eq. Appl. 22, 1 (2015)

    Article  MathSciNet  Google Scholar 

  6. K.K. Vajravelu, K.V. Prasad, P.S. Datti, B.T. Raju, Ain Shams Engin. J. 5, 157 (2014)

    Article  Google Scholar 

  7. K. Vajravelu, K.V. Prasad, B.T. Raju, J. Hydrodyn. Ser. B 25, 10 (2013)

    Article  Google Scholar 

  8. K. Vajravelu, K.V. Prasad, C.-O. Ng, Commun. Nonlin. Sci. Numer. Simulat. 17, 4163 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  9. J. Fan, G. Nakamura, Y. Yong Zhou, Bull. Korean Math. Soc. 52, 619 (2015)

    Article  MathSciNet  Google Scholar 

  10. P.K. Kameswaran, P. Sibanda, Kameswaran and Sibanda Boundary Value Problem 2013, 243 (2013)

    Article  Google Scholar 

  11. R.M. Manglik, H.M. Metwally, J. Enhanc. Heat Transf. 20, 361 (2013)

    Article  Google Scholar 

  12. M.H. Matina, I. Pop, S. Khanchezarc, J. Non-Newt. Fluid Mech. 197, 11 (2013)

    Article  Google Scholar 

  13. K.N. Memon, A.M. Siddiqui, S.F. Shah, S. Ahmad, J. Appl. Environm. Biol. Sci. 4, 309 (2014)

    Google Scholar 

  14. K.K.F.D. Costa, M.C. Garcia, K.O. de Ribeiro, M.S. Soares jr., LWT - Food Sci. Technol. 72, 71 (2016)

    Article  Google Scholar 

  15. V. Kumbár, S. Nedomová, J. Strnková, J. Buchar, J. Food Engin. 156, 45 (2015)

    Article  Google Scholar 

  16. K. Sarkar, A.K. Santra, Int. J. Emerg. Technol. Adv. Engin. 3, 443 (2013)

    Google Scholar 

  17. S. Jerbi, A. Delahaye, J. Oignet, L. Fournaison, P. Haberschill, Int. J. Refrig. 36, 1294 (2013)

    Article  Google Scholar 

  18. Z. Amir, B.M. Jan, A.K.A. Wahab, M. Khalil, C.W. Tong, Rheology and temperature dependency study of saraline-based super lightweight completion fluid, in Offshore Technology Conference Asia, 22-25 March, Kuala Lumpur, Malaysia (Offshore Technology Conference, 2016) DOI:10.4043/26399-MS

  19. M. Berta, E. Muskens, E. Schuster, M. Stading, Int. Dairy J. 57, 34 (2016)

    Article  Google Scholar 

  20. C.Y. Wang, J. Math. Anal. Appl. 385, 1190 (2012)

    Article  MathSciNet  Google Scholar 

  21. C.Y. Wang, Int. J. Nonlin. Mech. 6, 255 (1971)

    Article  Google Scholar 

  22. H. Schlichting, Boundary Layer Theory (Springer, New York, 2000)

  23. S. Longo, V. Federico Di, L. Chiapponi, R. Archetti, J. Fluid Mech. 731, R2-1-12 (2013)

    Article  ADS  Google Scholar 

  24. S. Longo, V. Federico Di, R. Archetti, L. Chiapponi, V. Ciriello, M. Ungarish, J. Non-Newt. Fluid Mech. 201, 69 (2013)

    Article  Google Scholar 

  25. S. Longo, V. Federico Di, J. Hydrol. 519, 238 (2014)

    Article  ADS  Google Scholar 

  26. S. Longo, V. Federico Di, L. Chiapponi, Environ. Fluid Mech. 15, 515 (2015)

    Article  Google Scholar 

  27. S. Longo, V. Federico Di, L. Chiapponi, J. Fluid Mech. 778, 534 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  28. S. Longo, V. Federico Di, Trans. Porous Media 110, 429 (2015)

    Article  Google Scholar 

  29. V. Federico Di, R. Archetti, S. Longo, J. Non-Newt. Fluid Mech. 177-178, 46 (2012)

    Article  Google Scholar 

  30. V. Federico Di, R. Archetti, S. Longo, J. Non-Newt. Fluid Mech. 189-190, 31 (2012)

    Article  Google Scholar 

  31. V. Federico Di, S. Longo, L. Chiapponi, R. Archetti, V. Ciriello, Adv. Water Resour. 70, 65 (2014)

    Article  ADS  Google Scholar 

  32. V. Ciriello, S. Longo, V. Federico Di, Mech. Res. Commun. 52, 101 (2013)

    Article  Google Scholar 

  33. H.E. Huppert, A.W. Woods, J. Fluid Mech. 292, 55 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  34. G.I. Barenblatt, A.J. Chorin, V.M. Prostokishin, Proc. Natl. Acad. Sci. U.S.A. 99, 5772 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  35. G.I. Barenblatt, Proc. Natl. Acad. Sci. U.S.A. 100, 1481 (2003)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Salman Ahmad.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Siddiqui, A.A., Ahmad, S. & Aqeel, M. On scattering of a material over the Ostwald-de Waele fluid bed. Eur. Phys. J. Plus 131, 440 (2016). https://doi.org/10.1140/epjp/i2016-16440-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2016-16440-8

Navigation