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Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity

Received: 11 January 2016     Accepted: 18 January 2016     Published: 17 February 2016
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Abstract

In this paper, we discussed the effect of shear stress for Homann and Convergent flows arising in the boundary layer theory with odd decimal numbers of tangential velocity. By this study we have to discuss positive solution, Homann flow, convergent flow, shear stress, tangential velocity etc. From beginning to end of the study, we have compared of stresses of different fluid flows arising in the boundary layer theory. The resulting figure is compared with the previous figure which was obtained by many authors.

Published in Applied and Computational Mathematics (Volume 5, Issue 1)
DOI 10.11648/j.acm.20160501.14
Page(s) 23-29
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Shear Stress, Homann Flow, Convergent Flow, Boundary Layer Flow

References
[1] Schmidt K., 1970. A nonlinear boundary value problem, J. Differential Equations 7, 527-537.
[2] Soewono E., K. Vajravelu and R. N. Mohapatra, 1991. Existence and nonuniqueness of solutions of a singular nonlinear boundary-layer problem, J. Math. Anal. Appl. 159, 251-270.
[3] Vajravelu K., E. Soewono and R. N. Mohapatra, 1991. On solutions of some singular, non-linear differential equations arising in boundary layer theory, J. Math. Anal. Appl. 155, 499-512.
[4] Shin J. Y., 1997. A Singular nonlinear differential equation arising in the Homann flow, J. Math. Anal. Appl. 212, 443-451.
[5] Schlichting H., and K. Gersten, 1999. Boundary Layer Theory, Springer, 113, 114.
[6] Shanti Swarup, 2000. Fluids Dynamics, Krishna Prakashan Media(P) Ltd. Merut, 622.632.633.
[7] Molla M. R. and S. Banu, 2003. Some singular nonlinear BVPS arising in the boundary layer flow. Ganit: Journal of Bangladesh Mathematical Soc., 23, 91-103.
[8] Molla M. R., 2005. Existence and Uniqueness of positive solution of the suction of the fluid from the boundary layer, J. Math. and Math. Sci, JU, Savar, Bangladesh, 20, 31-40.
[9] Molla M. R. and S. Banu, 2006. Existence and uniqueness of positive solution of a singular nonlinear BVP. Journal of Science, University of Dhaka, 54 (2), 191-195.
[10] Molla M. R., 2008. A singular non-linear BVP arising in the boundary layer flow along a flat plate, Ganit: J. Bangladesh Math. Soc. 28, 59-67.
[11] Molla M. R., M. K. Jaman and M. Hasan, 2011. Comparison of positive solutions for two boundary value problems arising in the boundary layer flow. Journal of Science, University of Dhaka, 59 (2), 167-172.
[12] Molla M. R., 2012. A singular non-linear boundary value problem arising in a convergent channel, Bangladesh Journal of Physics, 12, 15-26.
[13] Molla M. R. and M. Begum, 2012. Existence and Uniqueness of positive solution of the injection of the fluid into the boundary layer. Jahangirnagar J. of Math. and Math. Sciences, 27, 103-114.
[14] Molla M. R., 2013. An analytic treatment of the Falkner-Skan boundary layer equation. Journal of Science, University of Dhaka, 61(1), 139-144.
[15] Molla M. R., 2014. Comparison of Shear Stresses of Different Fluids Flows Arising in the Boundary Layer Theory. Dhaka Univ. J. Sci. 62(2): 115-118.
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  • APA Style

    Mamun Miah, Abul Kalam Azad, Masidur Rahman. (2016). Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity. Applied and Computational Mathematics, 5(1), 23-29. https://doi.org/10.11648/j.acm.20160501.14

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    ACS Style

    Mamun Miah; Abul Kalam Azad; Masidur Rahman. Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity. Appl. Comput. Math. 2016, 5(1), 23-29. doi: 10.11648/j.acm.20160501.14

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    AMA Style

    Mamun Miah, Abul Kalam Azad, Masidur Rahman. Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity. Appl Comput Math. 2016;5(1):23-29. doi: 10.11648/j.acm.20160501.14

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  • @article{10.11648/j.acm.20160501.14,
      author = {Mamun Miah and Abul Kalam Azad and Masidur Rahman},
      title = {Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity},
      journal = {Applied and Computational Mathematics},
      volume = {5},
      number = {1},
      pages = {23-29},
      doi = {10.11648/j.acm.20160501.14},
      url = {https://doi.org/10.11648/j.acm.20160501.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20160501.14},
      abstract = {In this paper, we discussed the effect of shear stress for Homann and Convergent flows arising in the boundary layer theory with odd decimal numbers of tangential velocity. By this study we have to discuss positive solution, Homann flow, convergent flow, shear stress, tangential velocity etc. From beginning to end of the study, we have compared of stresses of different fluid flows arising in the boundary layer theory. The resulting figure is compared with the previous figure which was obtained by many authors.},
     year = {2016}
    }
    

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    T1  - Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity
    AU  - Mamun Miah
    AU  - Abul Kalam Azad
    AU  - Masidur Rahman
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    T2  - Applied and Computational Mathematics
    JF  - Applied and Computational Mathematics
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    EP  - 29
    PB  - Science Publishing Group
    SN  - 2328-5613
    UR  - https://doi.org/10.11648/j.acm.20160501.14
    AB  - In this paper, we discussed the effect of shear stress for Homann and Convergent flows arising in the boundary layer theory with odd decimal numbers of tangential velocity. By this study we have to discuss positive solution, Homann flow, convergent flow, shear stress, tangential velocity etc. From beginning to end of the study, we have compared of stresses of different fluid flows arising in the boundary layer theory. The resulting figure is compared with the previous figure which was obtained by many authors.
    VL  - 5
    IS  - 1
    ER  - 

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Author Information
  • Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

  • Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

  • Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

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